From 867b2180e28487f9c40f584403d7b00c36665af3 Mon Sep 17 00:00:00 2001 From: yuroitaki Date: Thu, 21 Dec 2023 17:43:35 +0000 Subject: [PATCH] deploy: e91c13cccb4c32241ac82cae32b82ccf926b97a1 --- developers/notary_server.html | 9 +++++++-- print.html | 9 +++++++-- searchindex.js | 2 +- searchindex.json | 2 +- 4 files changed, 16 insertions(+), 6 deletions(-) diff --git a/developers/notary_server.html b/developers/notary_server.html index e8740e5..45644af 100644 --- a/developers/notary_server.html +++ b/developers/notary_server.html @@ -220,6 +220,11 @@

Using Cargo

git clone https://github.com/tlsnotary/tlsn.git
    +
  1. Switch to your desired released version, or stay in the dev branch to use the latest code, e.g.
  2. +
+
git checkout tags/<version>
+
+
  1. To configure the server setting, please refer to the Using Cargo section in the repo's readme
  2. Run the server
@@ -230,9 +235,9 @@

Using Docker
  • Install docker following your preferred method here
  • To configure the server setting, please refer to the Using Docker section in the repo's readme
  • -
  • Run the notary server docker image
  • +
  • Run the notary server docker image of your desired version
  • -
    docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/notary-server:latest
    +
    docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/tlsn/notary-server:<version>
     
    diff --git a/print.html b/print.html index 4c6e9d2..2be1940 100644 --- a/print.html +++ b/print.html @@ -337,6 +337,11 @@

    Using Cargo

    git clone https://github.com/tlsnotary/tlsn.git
      +
    1. Switch to your desired released version, or stay in the dev branch to use the latest code, e.g.
    2. +
    +
    git checkout tags/<version>
    +
    +
    1. To configure the server setting, please refer to the Using Cargo section in the repo's readme
    2. Run the server
    @@ -347,9 +352,9 @@

    Using Docker
  • Install docker following your preferred method here
  • To configure the server setting, please refer to the Using Docker section in the repo's readme
  • -
  • Run the notary server docker image
  • +
  • Run the notary server docker image of your desired version
  • -
    docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/notary-server:latest
    +
    docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/tlsn/notary-server:<version>
     

    MPC-TLS

    diff --git a/searchindex.js b/searchindex.js index a85d6cc..8ab7561 100644 --- a/searchindex.js +++ b/searchindex.js @@ -1 +1 @@ -Object.assign(window.search, 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» Introduction","id":"0","title":"Introduction"},"1":{"body":"The Internet currently lacks effective, privacy-preserving Data Provenance . TLS , also known as the \"s\" in \"https\" 🔐 to the general public, ensures that data can be securely communicated between a server and a user. But how can this user credibly share this data with another user or server without compromising security, privacy, and control? Enter TLSNotary: a protocol enabling users to export data securely from any website. Using Zero Knowledge Proof (ZKP) technology, this data can be selectively shared with others in a cryptographically verifiable manner. TLSNotary makes data truly portable and allows a user, the Prover, to share it with another party, the Verifier, as they see fit.","breadcrumbs":"Introduction » Data Provenance without Compromising Privacy, That is Why!","id":"1","title":"Data Provenance without Compromising Privacy, That is Why!"},"10":{"body":"Transport Layer Security (TLS) plays a crucial role in digital security. TLS protects communication against eavesdropping and tampering. It ensures that the data received by a user ( \"Alice\" ) indeed originated from the Server and was not changed. The Server's identity is verified by Alice through trusted Certificate Authorities (CAs). Data integrity is maintained by transmitting a cryptographic hash (called Message Authentication Code or MAC in TLS) alongside the data, which safeguards against deliberate alterations. However, this hash does not provide non-repudiation , meaning it cannot serve as evidence for the authenticity and integrity of the data to Bob (e.g., a service or an app). Because it is a keyed hash and TLS requires that the key is known to Alice, she could potentially modify the data and compute a corresponding hash after the TLS session is finished. Achieving non-repudiation requires digital signatures implemented with asymmetric, public-key cryptography. While the concept seems straightforward, enabling servers to sign data is not a part of the TLS protocol. Even if all data were securely signed, naively sharing all data with others could expose too much information, compromising Alice's privacy. Privacy is a vital social good that must be protected.","breadcrumbs":"Motivation » Non-repudiation: TLS is not enough","id":"10","title":"Non-repudiation: TLS is not enough"},"11":{"body":"Currently, when Alice wants to share data from a Server with another party, OAuth can be used to facilitate this if the application supports it. In this way, the other party receives the data directly from the Server, ensuring authentic and unchanged data. However, applications often do not provide fine-grained control over which data to share, leading to the other party gaining access to more information than strictly necessary. Another drawback of this solution is that the Server is aware of the access delegation, enabling it to monitor and censor the other user’s requests. It's worth noting that in many instances, OAuth is not even presented as an option. This is because a lot of servers lack the incentive to provide third-party access to the data.","breadcrumbs":"Motivation » Status Quo: delegate access","id":"11","title":"Status Quo: delegate access"},"12":{"body":"TLSNotary operates by executing the TLS communication using multi-party computation (MPC). MPC allows Alice and Bob to jointly manage the TLS connection. With TLSNotary, Alice can selectively prove the authenticity of arbitrary portions of the data to Bob. Since Bob participated in the MPC-TLS communication, he is guaranteed that the data is authentic. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the TLS connection appears just like any other connection, meaning no modifications to the TLS protocol are necessary .","breadcrumbs":"Motivation » TLSNotary: data provenance and privacy with secure multi-party computation","id":"12","title":"TLSNotary: data provenance and privacy with secure multi-party computation"},"13":{"body":"TLSNotary is a solution designed to prove the authenticity of data while preserving user privacy. It unlocks a variety of new use cases. So, if you're looking for a way to make your data portable without compromising on privacy, TLSNotary is developed for you! Dive into the protocol and integrate it into your applications. We eagerly await your feedback on Discord .","breadcrumbs":"Motivation » Make your data portable with TLSNotary!","id":"13","title":"Make your data portable with TLSNotary!"},"14":{"body":"In this guide we will set up a general-purpose TLS verifier ( a.k.a. the Notary), so that a Prover can notarize some TLS data and generate a proof which he then shows to a Verifier for selective disclosure. So this guide will take you through the steps of: starting a Notary server running a Prover to notarize some web data running a Verifier to verify the notarized data","breadcrumbs":"Quick Start » Quick Start","id":"14","title":"Quick Start"},"15":{"body":"","breadcrumbs":"Quick Start » Preliminaries","id":"15","title":"Preliminaries"},"16":{"body":"If you don't have rust installed yet, install it with rustup : curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh","breadcrumbs":"Quick Start » Install rust","id":"16","title":"Install rust"},"17":{"body":"Clone this repository first git clone https://github.com/tlsnotary/tlsn","breadcrumbs":"Quick Start » Guide","id":"17","title":"Guide"},"18":{"body":"cd tlsn/tlsn/examples/simple\ncargo run --release --example simple_notary The Notary server will now be running in the background waiting for connections from a Prover. You can switch to another console to run the Prover. P/S: The notary server used in this example is less functional compared to its advanced version . This simple version is easier to integrate with from prover perspective, whereas the advanced version provides additional features like TLS connection with prover, WebSocket endpoint, API endpoints for further customisation etc.","breadcrumbs":"Quick Start » Start a simple Notary server:","id":"18","title":"Start a simple Notary server:"},"19":{"body":"RUST_LOG=DEBUG,yamux=INFO cargo run --release --example simple_prover The notarization session usually takes a few moments and the resulting proof will be written to the \"proof.json\" file. The proof can then be passed on to the Verifier for verification. The simple_prover notarizes https://example.com and redacts the USER_AGENT HTTP header from the proof for the Verifier. You can change the code in tlsn/tlsn/examples/simple/simple_prover.rs to meet your needs: change which server the Prover connects to add or remove HTTP request headers redact other strings in the request or the response ⚠️ Please note that by default the Notary server expects that the cumulative size of the request and the server response is not more than 16KB.","breadcrumbs":"Quick Start » Run a simple Prover:","id":"19","title":"Run a simple Prover:"},"2":{"body":"The TLSNotary protocol consists of 3 steps: The Prover requests data from a Server over TLS while cooperating with the Verifier in secure and privacy-preserving multi-party computation (MPC) . The Prover selectively discloses the data to the Verifier. The Verifier verifies the data.","breadcrumbs":"Introduction » How Does the TLSNotary Protocol Work?","id":"2","title":"How Does the TLSNotary Protocol Work?"},"20":{"body":"cargo run --release --example simple_verifier This will verify the proof from the simple_prover (proof.json) and output the result to the console. Note how the parts which the prover chose not to disclose will be shown as \"X\": GET / HTTP/1.1\nhost: example.com\naccept: */*\naccept-encoding: identity\nconnection: close\nuser-agent: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX","breadcrumbs":"Quick Start » Run a simple Verifier:","id":"20","title":"Run a simple Verifier:"},"21":{"body":"On November 17th 2023 we organized a TLSNotary workshop at ProgCrypto . This workshop has more examples for you to explore at https://github.com/tlsnotary/progcrypto_workshop","breadcrumbs":"Quick Start » ProgCrypto workshop","id":"21","title":"ProgCrypto workshop"},"22":{"body":"This guide shows you how to run a notary server in an Ubuntu server instance.","breadcrumbs":"Run a Notary Server » Run a Notary Server","id":"22","title":"Run a Notary Server"},"23":{"body":"All the following settings can be configured in the config file . Before running a notary server you need the following files. The default dummy fixtures are for testing only and should never be used in production. File Purpose File Type Compulsory to change TLS private key The private key used for the notary server's TLS certificate to establish TLS connections with provers TLS private key in PEM format Yes unless TLS is turned off TLS certificate The notary server's TLS certificate to establish TLS connections with provers TLS certificate in PEM format Yes unless TLS is turned off Notary signature private key The private key used for the notary server's signature on the generated transcript of the TLS sessions with provers A P256 elliptic curve private key in PEM format Yes Notary signature public key The public key used for the notary server's signature on the generated transcript of the TLS sessions with provers A matching public key in PEM format Yes Expose the notary server port (specified in the config file) on your server networking setting Optionally one can turn on authorization , or turn off TLS if TLS is handled by an external setup","breadcrumbs":"Run a Notary Server » Configure Server Setting","id":"23","title":"Configure Server Setting"},"24":{"body":"Install required system dependencies sudo apt-get update && sudo apt-get upgrade\nsudo apt-get install libclang-dev pkg-config build-essential libssl-dev Install rust curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh\nsource ~/.cargo/env Download notary server source code mkdir ~/src; cd ~/src git clone https://github.com/tlsnotary/tlsn.git To configure the server setting , please refer to the Using Cargo section in the repo's readme Run the server cd tlsn/notary-server\ncargo run --release","breadcrumbs":"Run a Notary Server » Using Cargo","id":"24","title":"Using Cargo"},"25":{"body":"Install docker following your preferred method here To configure the server setting , please refer to the Using Docker section in the repo's readme Run the notary server docker image docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/notary-server:latest","breadcrumbs":"Run a Notary Server » Using Docker","id":"25","title":"Using Docker"},"26":{"body":"During the MPC-TLS phase the Prover and the Verifier run an MPC protocol enabling the Prover to connect to, and exchange data with, a TLS-enabled Server. Listed below are some key points regarding this protocol: The Verifier only learns the encrypted application data of the TLS session. The Prover is not solely capable of constructing requests, nor can they forge responses from the Server. The protocol enables the Prover to prove the authenticity of the exchanged data to the Verifier.","breadcrumbs":"MPC-TLS » MPC-TLS","id":"26","title":"MPC-TLS"},"27":{"body":"A TLS handshake is the first step in establishing a TLS connection between a Prover and a Server. In TLSNotary the Prover is the one who starts the TLS handshake and physically communicates with the Server, but all cryptographic TLS operations are performed together with the Verifier using MPC. The Prover and Verifier use a series of MPC protocols to compute the TLS session key in such a way that both only have their share of the key and never learn the full key. Both parties then proceed to complete the TLS handshake using their shares of the key. See our section on Key Exchange for more details of how this is done. Note: to a third party observer, the Prover's connection to the server appears like a regular TLS connection and the security guaranteed by TLS remains intact for the Prover. The only exception is that since the Verifier is a party to the MPC TLS, the security for the Prover against a malicious Verifier is provided by the underlying MPC protocols and not by TLS. With the shares of the session key computed and the TLS handshake completed, the parties now proceed to the next MPC protocol where they use their session key shares to jointly generate encrypted requests and decrypt server responses while keeping the plaintext of both the requests and responses private from the Verifier.","breadcrumbs":"MPC-TLS » Handshake » Handshake","id":"27","title":"Handshake"},"28":{"body":"This section explains how the Prover and Verifier use MPC to encrypt data sent to the server, decrypt data received from the server, and compute the MAC for the ciphertext using MPC. It shows how the Prover and Verifier collaborate to encrypt and decrypt data. The Verifier performs these tasks \"blindly\", without acquiring knowledge of the plaintext.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption, Decryption, and MAC Computation","id":"28","title":"Encryption, Decryption, and MAC Computation"},"29":{"body":"To encrypt the plaintext, both parties input their TLS key shares as private inputs to the MPC protocol, along with some other public data. Additionally, the Prover inputs her plaintext as a private input. Encryption Both parties see the resulting ciphertext and execute the 2PC MAC protocol to compute the MAC for the ciphertext. The Prover then dispatches the ciphertext and the MAC to the server.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption","id":"29","title":"Encryption"},"3":{"body":"TLSNotary works by adding a third party, a Verifier, to the usual TLS connection between the Prover and a Server. This Verifier is not \" a man in the middle \" . Instead, the Verifier participates in a secure multi-party computation (MPC) to jointly operate the TLS connection without seeing the data in plain text. By participating in the MPC, the Verifier can validate the authenticity of the data the Prover received from the Server. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the Prover's connection is a standard TLS connection.","breadcrumbs":"Introduction » ① Multi-party TLS Request","id":"3","title":"① Multi-party TLS Request"},"30":{"body":"Once the Prover receives the ciphertext and its associated MAC from the server, the parties first authenticate the ciphertext by validating the MAC. They do this by running the MPC protocol to compute the authentic MAC for the ciphertext. They then verify if the authentic MAC matches the MAC received from the server. Next, the parties decrypt the ciphertext by providing their key shares as private inputs to the MPC protocol, along with the ciphertext and some other public data. Decryption The resulting plaintext is revealed ONLY to the Prover. Please note, the actual low-level implementation details of decryption are more nuanced than what we have described here. For more information, please consult Low-level Decryption details .","breadcrumbs":"MPC-TLS » Encryption and Decryption » Decryption","id":"30","title":"Decryption"},"31":{"body":"Even though the Prover can prove data provenance directly to the Verifier, in some scenarios it may be beneficial for the Verifier to outsource the verification of the TLS session to a trusted Notary as explained here . As part of the TLSNotary protocol, the Prover creates authenticated commitments to the plaintext and has the Notary sign them without the Notary ever seeing the plaintext. This offers a way for the Prover to selectively prove the authenticity of arbitrary portions of the plaintext to an application-specific Verifier later. Please refer to the Commitments section for low-level details on the commitment scheme.","breadcrumbs":"Notarization » Notarization","id":"31","title":"Notarization"},"32":{"body":"The Notary signs an artifact known as a Session Header, thereby attesting to the authenticity of the plaintext from a TLS session. A Session Header contains a Prover's commitment to the plaintext and a Prover's commitment to TLS-specific data which uniquely identifies the server. The Prover can later use the signed Session Header to prove data provenance to an application-specific Verifier. It's important to highlight that throughout the entire TLSNotary protocol, including this signing stage, the Notary does not gain knowledge of either the plaintext or the identity of the server with which the Prover communicated.","breadcrumbs":"Notarization » Signing the Session Header","id":"32","title":"Signing the Session Header"},"33":{"body":"To prove data provenance to a third-party Verifier, the Prover provides the following information: Session Header signed by the Verifier opening to the plaintext commitment TLS-specific data which uniquely identifies the server identity of the server The Verifier performs the following verification steps: verifies that the opening corresponds to the commitment in the Session Header verifies that the TLS-specific data corresponds to the commitment in the Session Header verifies the identity of the server against TLS-specific data Next, the Verifier parses the opening with an application-specific parser (e.g. HTTP or JSON) to get the final output. Since the Prover is allowed to selectively disclose the data, that data which was not disclosed by the Prover will appear to the Verifier as redacted. Below is an example of a verification output for an HTTP 1.1 request and response. Note that since the Prover chose not to disclose some sensitive information like their HTTP session token and address, that information will be withheld from the Verifier and will appear to him as redacted (in red). Verification example","breadcrumbs":"Verification » Verification","id":"33","title":"Verification"},"34":{"body":"In TLS, the first step towards obtaining TLS session keys is to compute a shared secret between the client and the server by running the ECDH protocol . The resulting shared secret in TLS terms is called the pre-master secret PMS . With TLSNotary, at the end of the key exchange, the Server gets the PMS as usual. The Prover and the Verifier, jointly operating as the TLS client, compute additive shares of the PMS. This prevents either party from unilaterally sending or receiving messages with the Server. Subsequently, the authenticity and integrity of the messages are guaranteed to both the Prover and Verifier, while also keeping the plaintext hidden from the Verifier. The 3-party ECDH protocol between the Server the Prover and the Verifier works as follows: Server sends its public key Qb​ to Prover, and Prover forwards it to Verifier Prover picks a random private key share dc​ and computes a public key share Qc​=dc​∗G Verifier picks a random private key share dn​ and computes a public key share Qn​=dn​∗G Verifier sends Qn​ to Prover who computes Qa​=Qc​+Qn​ and sends Qa​ to Server Prover computes an EC point (xp​,yp​)=dc​∗Qb​ Verifier computes an EC point (xq​,yq​)=dn​∗Qb​ Addition of points (xp​,yp​) and (xq​,yq​) results in the coordinate xr​, which is PMS. (The coordinate yr​ is not used in TLS) Using the notation from here , our goal is to compute xr​=(xq​−xp​yq​−yp​​)2−xp​−xq​ in such a way that Neither party learns the other party's x value Neither party learns xr​, only their respective shares of xr​. We will use two maliciously secure protocols described on p.25 in the paper Efficient Secure Two-Party Exponentiation : A2M protocol, which converts additive shares into multiplicative shares, i.e. given shares a and b such that a + b = c, it converts them into shares d and e such that d * e = c M2A protocol, which converts multiplicative shares into additive shares We apply A2M to yq​+(−yp​) to get Aq​∗Ap​ and also we apply A2M to xq​+(−xp​) to get Bq​∗Bp​. Then the above can be rewritten as: xr​=(Bq​Aq​​)2∗(Bp​Ap​​)2−xp​−xq​ Then the first party locally computes the first factor and gets Cq​, the second party locally computes the second factor and gets Cp​. Then we can again rewrite as: xr​=Cq​∗Cp​−xp​−xq​ Now we apply M2A to Cq​∗Cp​ to get Dq​+Dp​, which leads us to two final terms each of which is the share of xr​ of the respective party: xr​=(Dq​−xq​)+(Dp​−xp​)","breadcrumbs":"Key Exchange » Key Exchange","id":"34","title":"Key Exchange"},"35":{"body":"Some protocols used in TLSNotary need to convert two-party sharings of products or sums of some field elements into each other. For this purpose we use share conversion protocols which use oblivious transfer (OT) as a sub-protocol. Here we want to have a closer look at the security guarantees these protocols offer.","breadcrumbs":"Finite-Field Arithmetic » Finite-Field Arithmetic","id":"35","title":"Finite-Field Arithmetic"},"36":{"body":"Our goal is to add covert security to our share conversion protocols. This means that we want an honest party to be able to detect a malicious adversary, who is then able to abort the protocol. Our main concern is that the adversary might be able to leak private inputs of the honest party without being noticed. For this reason we require that the adversary cannot do anything which would give him a better chance than guessing the private input at random, which is guessing k bits with a probability of 2−k for not being detected. In the following we want to have a closer look at how the sender and receiver can deviate from the protocol. Malicious receiver Note that in our protocol a malicious receiver cannot forge the protocol output, since he does not send anything to the sender during protocol execution. Even when this protocol is embedded into an outer protocol, where at some point the receiver has to open his output or a computation involving it, then all he can do is to open an output y′ with y′=y, which is just equivalent to changing his input from b→b′. Malicious sender In the case of a malicious sender the following things can happen: The sender can impose an arbitrary field element b′ as input onto the receiver without him noticing. To do this he simply sends (tik​,tik​) in every OT, where k is i-th bit of b′. The sender can execute a selective-failure attack, which allows him to learn any predicate about the receiver's input. For each OT round i, the sender alters one of the OT values to be Tik​=tik​+ci​, where ci​∈F,k∈{0,1}. This will cause that in the end the equation a⋅b=x+y no longer holds but only if the forged OT value has actually been picked by the receiver. The sender does not use a random number generator with a seed r to sample the masks si​, instead he simply chooses them at will.","breadcrumbs":"Finite-Field Arithmetic » Adding covert security","id":"36","title":"Adding covert security"},"37":{"body":"Without loss of generality let us recall the Multiplication-To-Addition (M2A) protocol, but our observations also apply to the Addition-To-Multiplication (A2M) protocol, which is very similar. We start with a short review of the M2A protocol. Let there be a sender with some field element a and some receiver with another field element b. After protocol execution the sender ends up with x and the receiver ends up with y, so that a⋅b=x+y. a,b,x,y∈F r - rng seed m - bit-length of elements in F n - bit-length of rng seed OT Sender with input a∈F,r←{0,1}n Sample some random masks: si​=rng(r,i),0≤i> 1) ^ ((x & 1) * R)\n8. return result Standard math properties hold in finite field math, viz. commutative: a+b=b+a and distributive: a(b+c)=ab+ac.","breadcrumbs":"MAC » 2.2 GHASH output","id":"68","title":"2.2 GHASH output"},"69":{"body":"The goal of the protocol is to compute the MAC in such a way that neither party would learn the other party's share of H i.e. the GHASH key share. At the start of the protocol each party has: ciphertext blocks X1​,X2​,...,Xm​. XOR share of H: the User has Hu​ and the Notary has Hn​. XOR share of the GCTR output: the User has GCTRu​ and the Notary has GCTRn​. Note that 2. and 3. were obtained at an earlier stage of the TLSNotary protocol.","breadcrumbs":"MAC » 3. Computing MAC using secure two-party computation (2PC)","id":"69","title":"3. Computing MAC using secure two-party computation (2PC)"},"7":{"body":"TLSNotary can be used for various purposes. For example, you can use TLSNotary to prove that: you have access to an account on a web platform a website showed specific content on a certain date you have private information about yourself (address, birth date, health, etc.) you have received a money transfer using your online banking account without revealing your login credentials or sensitive financial information you received a private message from someone you purchased an item online you were blocked from using an app you earned professional certificates While TLSNotary can notarize publicly available data, it does not solve the \" oracle problem \". For this use case, existing oracle solutions are more suitable.","breadcrumbs":"Introduction » What Can TLSNotary Do?","id":"7","title":"What Can TLSNotary Do?"},"70":{"body":"To illustrate what we want to achieve, we consider the case of just having a single ciphertext block X1​. The GHASH_output will be: X1​•H=X1​•(Hu​⊕Hn​)=X1​•Hu​⊕X1​•Hn​ The User and the Notary will compute locally the left and the right terms respectively. Then each party will XOR their result to the GCTR output share and will get their XOR share of the MAC: User : X1​•Hu​⊕GCTRu​=MACu​ Notary: X1​•Hn​⊕GCTRn​=MACn​ Finally, the Notary sends MACn​ to the User who obtains: MAC=MACn​⊕MACu​ For longer ciphertexts, the problem is that higher powers of the hashkey Hk cannot be computed locally, because we deal with additive sharings, i.e.(Hu​)k⊕(Hn​)k=Hk.","breadcrumbs":"MAC » 3.1 Example with a single ciphertext block","id":"70","title":"3.1 Example with a single ciphertext block"},"71":{"body":"We now introduce our 2PC MAC protocol for computing ciphertexts with an arbitrary number of blocks. Our protocol can be divided into the following steps. Steps First, both parties convert their additive shares Hu​ and Hn​ into multiplicative shares Hu​ and Hn​. This allows each party to locally compute the needed higher powers of these multiplicative shares, i.e for m blocks of ciphertext: the user computes Hu​​2,Hu​​3,...Hu​​m the notary computes Hn​​2,Hn​​3,...Hn​​m Then both parties convert each of these multiplicative shares back to additive shares the user ends up with Hu​,Hu2​,...Hum​ the notary ends up with Hn​,Hn2​,...Hnm​ Each party can now locally compute their additive MAC share MACn/u​. The conversion steps ( 1 and 3 ) require communication between the user and the notary. They will use A2M (Addition-to-Multiplication) and M2A (Multiplication-to-Addition) protocols, which make use of oblivious transfer , to convert the shares. The user will be the sender and the notary the receiver. 2PC MAC Overview 3.2.1 (A2M) Convert additive shares of H into multiplicative share At first (step 1 ) we have to get a multiplicative share of Hn/u​, so that notary and user can locally compute the needed higher powers. For this we use an adapted version of the A2M protocol in chapter 4 of Efficient Secure Two-Party Exponentiation . The user will decompose his share into i individual oblivious transfers tu,ik​=R⋅(k⋅2i+Hu,i​⋅2i⊕si​), where R is some random value used for all oblivious transfers si​ is a random mask used per oblivious transfer, with ∑i​si​=0 k∈0,1 depending on the receiver's choice. The notary's choice in the i-th OT will depend on the bit value in the i-th position of his additive share Hn​. In the end the multiplicative share of the user Hu​​ will simply be the inverse R−1 of the random value, and the notary will sum all his OT outputs, so that all the si​ will vanish and hence he gets his multiplicative share Hn​​. H​=Hu​⊕Hn​=R−1⋅R⋅i∑​(Hu,i​⊕Hn,i​)⋅2i⊕si​=R−1⋅i∑​tu,iHn,i​​⊕R⋅i∑​si​=Hu​​⋅Hn​​​​ 3.2.2 (M2A) Convert multiplicative shares Hk into additive shares In step 3 of our protocol, we use the oblivious transfer method described in chapter 4.1 of the Gilboa paper Two Party RSA Key Generation to convert all the multiplicative shares Hn/uk​​ back into additive shares Hn/uk​. We only show how the method works for the share Hn/u1​​, because it is the same for higher powers. The user will be the OT sender and decompose his shares into i individual oblivious transfers tu,ik​=k⋅Hu​​⋅2i+si​, where k∈0,1, depending on the receiver's choices. Each of these OTs is masked with a random value si​. He will then obliviously send them to the notary. Depending on the binary representation of his multiplicative share, the notary will choose one of the choices and do this for all 128 oblivious transfers. After that the user will locally XOR all his si​ and end up with his additive share Hu​, and the notary will do the same for all the results of the oblivious transfers and get Hn​. H​=Hu​​⋅Hn​​=Hu​​⋅i∑​Hn,i​​⋅2i=i∑​(Hn,i​​⋅Hu​​⋅2i⊕si​)⊕i∑​si​=i∑​tu,iHn,i​​​⊕i∑​si​≡Hn​⊕Hu​​","breadcrumbs":"MAC » 3.2 Computing ciphertexts with an arbitrary number of blocks","id":"71","title":"3.2 Computing ciphertexts with an arbitrary number of blocks"},"72":{"body":"In the actual implementation of the protocol we only compute odd multiplicative shares, i.e. H,H3,H5,…, so that we only need to share these odd shares in step 3 . This is possible because we can compute even additive shares from odd additive shares. We observe that for even k: Hk​=(Hnk/2​⊕Huk/2​)2=(Hnk/2​)2⊕Hnk/2​Huk/2​⊕Huk/2​Hnk/2​⊕(Huk/2​)2=(Hnk/2​)2⊕(Huk/2​)2=Hnk​⊕Huk​​​ So we only need to convert odd multiplicative shares into odd additive shares, which gives us a 50% reduction in cost. The remaining even additive shares can then be computed locally.","breadcrumbs":"MAC » 3.3 Free Squaring","id":"72","title":"3.3 Free Squaring"},"73":{"body":"Both the A2M and M2A protocols on their own only provide semi-honest security. They are secure against a malicious receiver, but the sender has degrees of freedom to cause leakage of the MAC keyshares. However, for our purposes this does not present a problem as long as leakage is detected. To detect a malicious sender, we require the sender to commit to the PRG seed used to generate the random values in the share conversion protocols. After the TLS session is closed the MAC keyshares are no longer secret, which allows the sender to reveal this seed to the receiver. Subsequently, the receiver can perform a consistency check to make sure the sender followed the protocol honestly. 3.3.1 Malicious notary The protocol is secure against a malicious notary, because he is the OT receiver, which means that there is actually no input from him during the protocol execution except for the final MAC output. He just receives the OT input from the user, so the only thing he can do is to provide a wrong MAC keyshare. This will cause the server to reject the MAC when the user sends the request. The protocol simply aborts. 3.3.2 Malicious user A malicious user could actually manipulate what he sends in the OT and potentially endanger the security of the protocol by leaking the notary's MAC key. To address this we force the user to reveal his MAC key after the server response so that the notary can check for the correctness of the whole MAC 2PC protocol. Then if the notary detects that the user cheated, he would simply abort the protocol. The only problem when doing this is, that we want the whole TLSNotary protocol to work under the assumption that the notary can intercept the traffic between the user and the server. This would allow the notary to trick the user into thinking that the TLS session is already terminated, if he can force the server to respond. The user would send his MAC key share too early and the notary could, now having the complete MAC key, forge the ciphertext and create a valid MAC for it. He would then send this forged request to the server and forward the response of the server to the user. To prevent this scenario we need to make sure that the TLS connection to the server is terminated before the user sends his MAC key share to the notary. Following the TLS RFC , we leverage close_notify to ensure all messages sent to the server have been processed and the connection is closed. Unfortunately, many server TLS implementations do not support close_notify. In these cases we instead send an invalid message to the server which forces it to respond with a fatal alert message and close the connection.","breadcrumbs":"MAC » 3.3 Creating a robust protocol","id":"73","title":"3.3 Creating a robust protocol"},"74":{"body":"Here we illustrate the commitment scheme used to create authenticated commitments to the plaintext in scenarios where a general-purpose Notary is used. (Note that this scheme is not used when the Prover proves directly to the Verifier) A naive approach of extending the Encryption and Decryption steps to also compute a commitment (e.g. BLAKE3 hash) using MPC is too resource-intensive, prompting us to provide a more lightweight commitment scheme. The high-level idea is that the Prover creates a commitment to the active plaintext encoding from the MPC protocol used for Encryption and Decryption . We also hide the amount of commitments (to preserve Prover privacy) by having the Prover commit to the Merkle tree of commitments. Commitment","breadcrumbs":"Commitments » Commitments","id":"74","title":"Commitments"},"75":{"body":"Term Explanation 2PC Secure Two-party computation A2M Addition-to-Multiplication AES Advanced Encryption Standard DEAP Dual Execution with Asymmetric Privacy ECB Electronic codebook (encryption mode) ECDH Elliptic-Curve Diffie-Hellman GC Garbled Circuit GCM Galois/Counter Mode GHASH GCM hash HMAC Hash-based Message Authentication Code M2a Multiplication-to-Addition MAC Message Authentication Code MPC Secure Multi-party computation OT oblivious transfer PMS Pre master secret (TLS) PRF Pseudo Random Function PRG pseudorandom generator PSE Privacy and Scaling Exploration RSA Rivest–Shamir–Adleman (public-key cryptosystem) TLS transport layer security","breadcrumbs":"Glossary » Glossary","id":"75","title":"Glossary"},"8":{"body":"TLSNotary is developed by the Privacy and Scaling Exploration (PSE) research lab of the Ethereum Foundation. The PSE team is committed to conceptualizing and testing use cases for cryptographic primitives. TLSNotary is not a new project; in fact, it has been around for more than a decade . In 2022, TLSNotary was rebuilt from the ground up in Rust incorporating state-of-the-art cryptographic protocols. This renewed version of the TLSNotary protocol offers enhanced security, privacy, and performance. Older versions of TLSNotary, including PageSigner, have been archived due to a security vulnerability.","breadcrumbs":"Introduction » Who is behind TLSNotary?","id":"8","title":"Who is behind TLSNotary?"},"9":{"body":"The decentralized internet demands privacy-respecting data provenance! Data provenance ensures internet data is authentic. It allows verification of the data's origin and ensures the data hasn't been fabricated or tampered with. 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» Introduction","id":"0","title":"Introduction"},"1":{"body":"The Internet currently lacks effective, privacy-preserving Data Provenance . TLS , also known as the \"s\" in \"https\" 🔐 to the general public, ensures that data can be securely communicated between a server and a user. But how can this user credibly share this data with another user or server without compromising security, privacy, and control? Enter TLSNotary: a protocol enabling users to export data securely from any website. Using Zero Knowledge Proof (ZKP) technology, this data can be selectively shared with others in a cryptographically verifiable manner. TLSNotary makes data truly portable and allows a user, the Prover, to share it with another party, the Verifier, as they see fit.","breadcrumbs":"Introduction » Data Provenance without Compromising Privacy, That is Why!","id":"1","title":"Data Provenance without Compromising Privacy, That is Why!"},"10":{"body":"Transport Layer Security (TLS) plays a crucial role in digital security. TLS protects communication against eavesdropping and tampering. It ensures that the data received by a user ( \"Alice\" ) indeed originated from the Server and was not changed. The Server's identity is verified by Alice through trusted Certificate Authorities (CAs). Data integrity is maintained by transmitting a cryptographic hash (called Message Authentication Code or MAC in TLS) alongside the data, which safeguards against deliberate alterations. However, this hash does not provide non-repudiation , meaning it cannot serve as evidence for the authenticity and integrity of the data to Bob (e.g., a service or an app). Because it is a keyed hash and TLS requires that the key is known to Alice, she could potentially modify the data and compute a corresponding hash after the TLS session is finished. Achieving non-repudiation requires digital signatures implemented with asymmetric, public-key cryptography. While the concept seems straightforward, enabling servers to sign data is not a part of the TLS protocol. Even if all data were securely signed, naively sharing all data with others could expose too much information, compromising Alice's privacy. Privacy is a vital social good that must be protected.","breadcrumbs":"Motivation » Non-repudiation: TLS is not enough","id":"10","title":"Non-repudiation: TLS is not enough"},"11":{"body":"Currently, when Alice wants to share data from a Server with another party, OAuth can be used to facilitate this if the application supports it. In this way, the other party receives the data directly from the Server, ensuring authentic and unchanged data. However, applications often do not provide fine-grained control over which data to share, leading to the other party gaining access to more information than strictly necessary. Another drawback of this solution is that the Server is aware of the access delegation, enabling it to monitor and censor the other user’s requests. It's worth noting that in many instances, OAuth is not even presented as an option. This is because a lot of servers lack the incentive to provide third-party access to the data.","breadcrumbs":"Motivation » Status Quo: delegate access","id":"11","title":"Status Quo: delegate access"},"12":{"body":"TLSNotary operates by executing the TLS communication using multi-party computation (MPC). MPC allows Alice and Bob to jointly manage the TLS connection. With TLSNotary, Alice can selectively prove the authenticity of arbitrary portions of the data to Bob. Since Bob participated in the MPC-TLS communication, he is guaranteed that the data is authentic. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the TLS connection appears just like any other connection, meaning no modifications to the TLS protocol are necessary .","breadcrumbs":"Motivation » TLSNotary: data provenance and privacy with secure multi-party computation","id":"12","title":"TLSNotary: data provenance and privacy with secure multi-party computation"},"13":{"body":"TLSNotary is a solution designed to prove the authenticity of data while preserving user privacy. It unlocks a variety of new use cases. So, if you're looking for a way to make your data portable without compromising on privacy, TLSNotary is developed for you! Dive into the protocol and integrate it into your applications. We eagerly await your feedback on Discord .","breadcrumbs":"Motivation » Make your data portable with TLSNotary!","id":"13","title":"Make your data portable with TLSNotary!"},"14":{"body":"In this guide we will set up a general-purpose TLS verifier ( a.k.a. the Notary), so that a Prover can notarize some TLS data and generate a proof which he then shows to a Verifier for selective disclosure. So this guide will take you through the steps of: starting a Notary server running a Prover to notarize some web data running a Verifier to verify the notarized data","breadcrumbs":"Quick Start » Quick Start","id":"14","title":"Quick Start"},"15":{"body":"","breadcrumbs":"Quick Start » Preliminaries","id":"15","title":"Preliminaries"},"16":{"body":"If you don't have rust installed yet, install it with rustup : curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh","breadcrumbs":"Quick Start » Install rust","id":"16","title":"Install rust"},"17":{"body":"Clone this repository first git clone https://github.com/tlsnotary/tlsn","breadcrumbs":"Quick Start » Guide","id":"17","title":"Guide"},"18":{"body":"cd tlsn/tlsn/examples/simple\ncargo run --release --example simple_notary The Notary server will now be running in the background waiting for connections from a Prover. You can switch to another console to run the Prover. P/S: The notary server used in this example is less functional compared to its advanced version . This simple version is easier to integrate with from prover perspective, whereas the advanced version provides additional features like TLS connection with prover, WebSocket endpoint, API endpoints for further customisation etc.","breadcrumbs":"Quick Start » Start a simple Notary server:","id":"18","title":"Start a simple Notary server:"},"19":{"body":"RUST_LOG=DEBUG,yamux=INFO cargo run --release --example simple_prover The notarization session usually takes a few moments and the resulting proof will be written to the \"proof.json\" file. The proof can then be passed on to the Verifier for verification. The simple_prover notarizes https://example.com and redacts the USER_AGENT HTTP header from the proof for the Verifier. You can change the code in tlsn/tlsn/examples/simple/simple_prover.rs to meet your needs: change which server the Prover connects to add or remove HTTP request headers redact other strings in the request or the response ⚠️ Please note that by default the Notary server expects that the cumulative size of the request and the server response is not more than 16KB.","breadcrumbs":"Quick Start » Run a simple Prover:","id":"19","title":"Run a simple Prover:"},"2":{"body":"The TLSNotary protocol consists of 3 steps: The Prover requests data from a Server over TLS while cooperating with the Verifier in secure and privacy-preserving multi-party computation (MPC) . The Prover selectively discloses the data to the Verifier. The Verifier verifies the data.","breadcrumbs":"Introduction » How Does the TLSNotary Protocol Work?","id":"2","title":"How Does the TLSNotary Protocol Work?"},"20":{"body":"cargo run --release --example simple_verifier This will verify the proof from the simple_prover (proof.json) and output the result to the console. Note how the parts which the prover chose not to disclose will be shown as \"X\": GET / HTTP/1.1\nhost: example.com\naccept: */*\naccept-encoding: identity\nconnection: close\nuser-agent: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX","breadcrumbs":"Quick Start » Run a simple Verifier:","id":"20","title":"Run a simple Verifier:"},"21":{"body":"On November 17th 2023 we organized a TLSNotary workshop at ProgCrypto . This workshop has more examples for you to explore at https://github.com/tlsnotary/progcrypto_workshop","breadcrumbs":"Quick Start » ProgCrypto workshop","id":"21","title":"ProgCrypto workshop"},"22":{"body":"This guide shows you how to run a notary server in an Ubuntu server instance.","breadcrumbs":"Run a Notary Server » Run a Notary Server","id":"22","title":"Run a Notary Server"},"23":{"body":"All the following settings can be configured in the config file . Before running a notary server you need the following files. The default dummy fixtures are for testing only and should never be used in production. File Purpose File Type Compulsory to change TLS private key The private key used for the notary server's TLS certificate to establish TLS connections with provers TLS private key in PEM format Yes unless TLS is turned off TLS certificate The notary server's TLS certificate to establish TLS connections with provers TLS certificate in PEM format Yes unless TLS is turned off Notary signature private key The private key used for the notary server's signature on the generated transcript of the TLS sessions with provers A P256 elliptic curve private key in PEM format Yes Notary signature public key The public key used for the notary server's signature on the generated transcript of the TLS sessions with provers A matching public key in PEM format Yes Expose the notary server port (specified in the config file) on your server networking setting Optionally one can turn on authorization , or turn off TLS if TLS is handled by an external setup","breadcrumbs":"Run a Notary Server » Configure Server Setting","id":"23","title":"Configure Server Setting"},"24":{"body":"Install required system dependencies sudo apt-get update && sudo apt-get upgrade\nsudo apt-get install libclang-dev pkg-config build-essential libssl-dev Install rust curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh\nsource ~/.cargo/env Download notary server source code mkdir ~/src; cd ~/src git clone https://github.com/tlsnotary/tlsn.git Switch to your desired released version , or stay in the dev branch to use the latest code, e.g. git checkout tags/ To configure the server setting , please refer to the Using Cargo section in the repo's readme Run the server cd tlsn/notary-server\ncargo run --release","breadcrumbs":"Run a Notary Server » Using Cargo","id":"24","title":"Using Cargo"},"25":{"body":"Install docker following your preferred method here To configure the server setting , please refer to the Using Docker section in the repo's readme Run the notary server docker image of your desired version docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/tlsn/notary-server:","breadcrumbs":"Run a Notary Server » Using Docker","id":"25","title":"Using Docker"},"26":{"body":"During the MPC-TLS phase the Prover and the Verifier run an MPC protocol enabling the Prover to connect to, and exchange data with, a TLS-enabled Server. Listed below are some key points regarding this protocol: The Verifier only learns the encrypted application data of the TLS session. The Prover is not solely capable of constructing requests, nor can they forge responses from the Server. The protocol enables the Prover to prove the authenticity of the exchanged data to the Verifier.","breadcrumbs":"MPC-TLS » MPC-TLS","id":"26","title":"MPC-TLS"},"27":{"body":"A TLS handshake is the first step in establishing a TLS connection between a Prover and a Server. In TLSNotary the Prover is the one who starts the TLS handshake and physically communicates with the Server, but all cryptographic TLS operations are performed together with the Verifier using MPC. The Prover and Verifier use a series of MPC protocols to compute the TLS session key in such a way that both only have their share of the key and never learn the full key. Both parties then proceed to complete the TLS handshake using their shares of the key. See our section on Key Exchange for more details of how this is done. Note: to a third party observer, the Prover's connection to the server appears like a regular TLS connection and the security guaranteed by TLS remains intact for the Prover. The only exception is that since the Verifier is a party to the MPC TLS, the security for the Prover against a malicious Verifier is provided by the underlying MPC protocols and not by TLS. With the shares of the session key computed and the TLS handshake completed, the parties now proceed to the next MPC protocol where they use their session key shares to jointly generate encrypted requests and decrypt server responses while keeping the plaintext of both the requests and responses private from the Verifier.","breadcrumbs":"MPC-TLS » Handshake » Handshake","id":"27","title":"Handshake"},"28":{"body":"This section explains how the Prover and Verifier use MPC to encrypt data sent to the server, decrypt data received from the server, and compute the MAC for the ciphertext using MPC. It shows how the Prover and Verifier collaborate to encrypt and decrypt data. The Verifier performs these tasks \"blindly\", without acquiring knowledge of the plaintext.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption, Decryption, and MAC Computation","id":"28","title":"Encryption, Decryption, and MAC Computation"},"29":{"body":"To encrypt the plaintext, both parties input their TLS key shares as private inputs to the MPC protocol, along with some other public data. Additionally, the Prover inputs her plaintext as a private input. Encryption Both parties see the resulting ciphertext and execute the 2PC MAC protocol to compute the MAC for the ciphertext. The Prover then dispatches the ciphertext and the MAC to the server.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption","id":"29","title":"Encryption"},"3":{"body":"TLSNotary works by adding a third party, a Verifier, to the usual TLS connection between the Prover and a Server. This Verifier is not \" a man in the middle \" . Instead, the Verifier participates in a secure multi-party computation (MPC) to jointly operate the TLS connection without seeing the data in plain text. By participating in the MPC, the Verifier can validate the authenticity of the data the Prover received from the Server. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the Prover's connection is a standard TLS connection.","breadcrumbs":"Introduction » ① Multi-party TLS Request","id":"3","title":"① Multi-party TLS Request"},"30":{"body":"Once the Prover receives the ciphertext and its associated MAC from the server, the parties first authenticate the ciphertext by validating the MAC. They do this by running the MPC protocol to compute the authentic MAC for the ciphertext. They then verify if the authentic MAC matches the MAC received from the server. Next, the parties decrypt the ciphertext by providing their key shares as private inputs to the MPC protocol, along with the ciphertext and some other public data. Decryption The resulting plaintext is revealed ONLY to the Prover. Please note, the actual low-level implementation details of decryption are more nuanced than what we have described here. For more information, please consult Low-level Decryption details .","breadcrumbs":"MPC-TLS » Encryption and Decryption » Decryption","id":"30","title":"Decryption"},"31":{"body":"Even though the Prover can prove data provenance directly to the Verifier, in some scenarios it may be beneficial for the Verifier to outsource the verification of the TLS session to a trusted Notary as explained here . As part of the TLSNotary protocol, the Prover creates authenticated commitments to the plaintext and has the Notary sign them without the Notary ever seeing the plaintext. This offers a way for the Prover to selectively prove the authenticity of arbitrary portions of the plaintext to an application-specific Verifier later. Please refer to the Commitments section for low-level details on the commitment scheme.","breadcrumbs":"Notarization » Notarization","id":"31","title":"Notarization"},"32":{"body":"The Notary signs an artifact known as a Session Header, thereby attesting to the authenticity of the plaintext from a TLS session. A Session Header contains a Prover's commitment to the plaintext and a Prover's commitment to TLS-specific data which uniquely identifies the server. The Prover can later use the signed Session Header to prove data provenance to an application-specific Verifier. It's important to highlight that throughout the entire TLSNotary protocol, including this signing stage, the Notary does not gain knowledge of either the plaintext or the identity of the server with which the Prover communicated.","breadcrumbs":"Notarization » Signing the Session Header","id":"32","title":"Signing the Session Header"},"33":{"body":"To prove data provenance to a third-party Verifier, the Prover provides the following information: Session Header signed by the Verifier opening to the plaintext commitment TLS-specific data which uniquely identifies the server identity of the server The Verifier performs the following verification steps: verifies that the opening corresponds to the commitment in the Session Header verifies that the TLS-specific data corresponds to the commitment in the Session Header verifies the identity of the server against TLS-specific data Next, the Verifier parses the opening with an application-specific parser (e.g. HTTP or JSON) to get the final output. Since the Prover is allowed to selectively disclose the data, that data which was not disclosed by the Prover will appear to the Verifier as redacted. Below is an example of a verification output for an HTTP 1.1 request and response. Note that since the Prover chose not to disclose some sensitive information like their HTTP session token and address, that information will be withheld from the Verifier and will appear to him as redacted (in red). Verification example","breadcrumbs":"Verification » Verification","id":"33","title":"Verification"},"34":{"body":"In TLS, the first step towards obtaining TLS session keys is to compute a shared secret between the client and the server by running the ECDH protocol . The resulting shared secret in TLS terms is called the pre-master secret PMS . With TLSNotary, at the end of the key exchange, the Server gets the PMS as usual. The Prover and the Verifier, jointly operating as the TLS client, compute additive shares of the PMS. This prevents either party from unilaterally sending or receiving messages with the Server. Subsequently, the authenticity and integrity of the messages are guaranteed to both the Prover and Verifier, while also keeping the plaintext hidden from the Verifier. The 3-party ECDH protocol between the Server the Prover and the Verifier works as follows: Server sends its public key Qb​ to Prover, and Prover forwards it to Verifier Prover picks a random private key share dc​ and computes a public key share Qc​=dc​∗G Verifier picks a random private key share dn​ and computes a public key share Qn​=dn​∗G Verifier sends Qn​ to Prover who computes Qa​=Qc​+Qn​ and sends Qa​ to Server Prover computes an EC point (xp​,yp​)=dc​∗Qb​ Verifier computes an EC point (xq​,yq​)=dn​∗Qb​ Addition of points (xp​,yp​) and (xq​,yq​) results in the coordinate xr​, which is PMS. (The coordinate yr​ is not used in TLS) Using the notation from here , our goal is to compute xr​=(xq​−xp​yq​−yp​​)2−xp​−xq​ in such a way that Neither party learns the other party's x value Neither party learns xr​, only their respective shares of xr​. We will use two maliciously secure protocols described on p.25 in the paper Efficient Secure Two-Party Exponentiation : A2M protocol, which converts additive shares into multiplicative shares, i.e. given shares a and b such that a + b = c, it converts them into shares d and e such that d * e = c M2A protocol, which converts multiplicative shares into additive shares We apply A2M to yq​+(−yp​) to get Aq​∗Ap​ and also we apply A2M to xq​+(−xp​) to get Bq​∗Bp​. Then the above can be rewritten as: xr​=(Bq​Aq​​)2∗(Bp​Ap​​)2−xp​−xq​ Then the first party locally computes the first factor and gets Cq​, the second party locally computes the second factor and gets Cp​. Then we can again rewrite as: xr​=Cq​∗Cp​−xp​−xq​ Now we apply M2A to Cq​∗Cp​ to get Dq​+Dp​, which leads us to two final terms each of which is the share of xr​ of the respective party: xr​=(Dq​−xq​)+(Dp​−xp​)","breadcrumbs":"Key Exchange » Key Exchange","id":"34","title":"Key Exchange"},"35":{"body":"Some protocols used in TLSNotary need to convert two-party sharings of products or sums of some field elements into each other. For this purpose we use share conversion protocols which use oblivious transfer (OT) as a sub-protocol. Here we want to have a closer look at the security guarantees these protocols offer.","breadcrumbs":"Finite-Field Arithmetic » Finite-Field Arithmetic","id":"35","title":"Finite-Field Arithmetic"},"36":{"body":"Our goal is to add covert security to our share conversion protocols. This means that we want an honest party to be able to detect a malicious adversary, who is then able to abort the protocol. Our main concern is that the adversary might be able to leak private inputs of the honest party without being noticed. For this reason we require that the adversary cannot do anything which would give him a better chance than guessing the private input at random, which is guessing k bits with a probability of 2−k for not being detected. In the following we want to have a closer look at how the sender and receiver can deviate from the protocol. Malicious receiver Note that in our protocol a malicious receiver cannot forge the protocol output, since he does not send anything to the sender during protocol execution. Even when this protocol is embedded into an outer protocol, where at some point the receiver has to open his output or a computation involving it, then all he can do is to open an output y′ with y′=y, which is just equivalent to changing his input from b→b′. Malicious sender In the case of a malicious sender the following things can happen: The sender can impose an arbitrary field element b′ as input onto the receiver without him noticing. To do this he simply sends (tik​,tik​) in every OT, where k is i-th bit of b′. The sender can execute a selective-failure attack, which allows him to learn any predicate about the receiver's input. For each OT round i, the sender alters one of the OT values to be Tik​=tik​+ci​, where ci​∈F,k∈{0,1}. This will cause that in the end the equation a⋅b=x+y no longer holds but only if the forged OT value has actually been picked by the receiver. The sender does not use a random number generator with a seed r to sample the masks si​, instead he simply chooses them at will.","breadcrumbs":"Finite-Field Arithmetic » Adding covert security","id":"36","title":"Adding covert security"},"37":{"body":"Without loss of generality let us recall the Multiplication-To-Addition (M2A) protocol, but our observations also apply to the Addition-To-Multiplication (A2M) protocol, which is very similar. We start with a short review of the M2A protocol. Let there be a sender with some field element a and some receiver with another field element b. After protocol execution the sender ends up with x and the receiver ends up with y, so that a⋅b=x+y. a,b,x,y∈F r - rng seed m - bit-length of elements in F n - bit-length of rng seed OT Sender with input a∈F,r←{0,1}n Sample some random masks: si​=rng(r,i),0≤i> 1) ^ ((x & 1) * R)\n8. return result Standard math properties hold in finite field math, viz. commutative: a+b=b+a and distributive: a(b+c)=ab+ac.","breadcrumbs":"MAC » 2.2 GHASH output","id":"68","title":"2.2 GHASH output"},"69":{"body":"The goal of the protocol is to compute the MAC in such a way that neither party would learn the other party's share of H i.e. the GHASH key share. At the start of the protocol each party has: ciphertext blocks X1​,X2​,...,Xm​. XOR share of H: the User has Hu​ and the Notary has Hn​. XOR share of the GCTR output: the User has GCTRu​ and the Notary has GCTRn​. Note that 2. and 3. were obtained at an earlier stage of the TLSNotary protocol.","breadcrumbs":"MAC » 3. Computing MAC using secure two-party computation (2PC)","id":"69","title":"3. Computing MAC using secure two-party computation (2PC)"},"7":{"body":"TLSNotary can be used for various purposes. For example, you can use TLSNotary to prove that: you have access to an account on a web platform a website showed specific content on a certain date you have private information about yourself (address, birth date, health, etc.) you have received a money transfer using your online banking account without revealing your login credentials or sensitive financial information you received a private message from someone you purchased an item online you were blocked from using an app you earned professional certificates While TLSNotary can notarize publicly available data, it does not solve the \" oracle problem \". For this use case, existing oracle solutions are more suitable.","breadcrumbs":"Introduction » What Can TLSNotary Do?","id":"7","title":"What Can TLSNotary Do?"},"70":{"body":"To illustrate what we want to achieve, we consider the case of just having a single ciphertext block X1​. The GHASH_output will be: X1​•H=X1​•(Hu​⊕Hn​)=X1​•Hu​⊕X1​•Hn​ The User and the Notary will compute locally the left and the right terms respectively. Then each party will XOR their result to the GCTR output share and will get their XOR share of the MAC: User : X1​•Hu​⊕GCTRu​=MACu​ Notary: X1​•Hn​⊕GCTRn​=MACn​ Finally, the Notary sends MACn​ to the User who obtains: MAC=MACn​⊕MACu​ For longer ciphertexts, the problem is that higher powers of the hashkey Hk cannot be computed locally, because we deal with additive sharings, i.e.(Hu​)k⊕(Hn​)k=Hk.","breadcrumbs":"MAC » 3.1 Example with a single ciphertext block","id":"70","title":"3.1 Example with a single ciphertext block"},"71":{"body":"We now introduce our 2PC MAC protocol for computing ciphertexts with an arbitrary number of blocks. Our protocol can be divided into the following steps. Steps First, both parties convert their additive shares Hu​ and Hn​ into multiplicative shares Hu​ and Hn​. This allows each party to locally compute the needed higher powers of these multiplicative shares, i.e for m blocks of ciphertext: the user computes Hu​​2,Hu​​3,...Hu​​m the notary computes Hn​​2,Hn​​3,...Hn​​m Then both parties convert each of these multiplicative shares back to additive shares the user ends up with Hu​,Hu2​,...Hum​ the notary ends up with Hn​,Hn2​,...Hnm​ Each party can now locally compute their additive MAC share MACn/u​. The conversion steps ( 1 and 3 ) require communication between the user and the notary. They will use A2M (Addition-to-Multiplication) and M2A (Multiplication-to-Addition) protocols, which make use of oblivious transfer , to convert the shares. The user will be the sender and the notary the receiver. 2PC MAC Overview 3.2.1 (A2M) Convert additive shares of H into multiplicative share At first (step 1 ) we have to get a multiplicative share of Hn/u​, so that notary and user can locally compute the needed higher powers. For this we use an adapted version of the A2M protocol in chapter 4 of Efficient Secure Two-Party Exponentiation . The user will decompose his share into i individual oblivious transfers tu,ik​=R⋅(k⋅2i+Hu,i​⋅2i⊕si​), where R is some random value used for all oblivious transfers si​ is a random mask used per oblivious transfer, with ∑i​si​=0 k∈0,1 depending on the receiver's choice. The notary's choice in the i-th OT will depend on the bit value in the i-th position of his additive share Hn​. In the end the multiplicative share of the user Hu​​ will simply be the inverse R−1 of the random value, and the notary will sum all his OT outputs, so that all the si​ will vanish and hence he gets his multiplicative share Hn​​. H​=Hu​⊕Hn​=R−1⋅R⋅i∑​(Hu,i​⊕Hn,i​)⋅2i⊕si​=R−1⋅i∑​tu,iHn,i​​⊕R⋅i∑​si​=Hu​​⋅Hn​​​​ 3.2.2 (M2A) Convert multiplicative shares Hk into additive shares In step 3 of our protocol, we use the oblivious transfer method described in chapter 4.1 of the Gilboa paper Two Party RSA Key Generation to convert all the multiplicative shares Hn/uk​​ back into additive shares Hn/uk​. We only show how the method works for the share Hn/u1​​, because it is the same for higher powers. The user will be the OT sender and decompose his shares into i individual oblivious transfers tu,ik​=k⋅Hu​​⋅2i+si​, where k∈0,1, depending on the receiver's choices. Each of these OTs is masked with a random value si​. He will then obliviously send them to the notary. Depending on the binary representation of his multiplicative share, the notary will choose one of the choices and do this for all 128 oblivious transfers. After that the user will locally XOR all his si​ and end up with his additive share Hu​, and the notary will do the same for all the results of the oblivious transfers and get Hn​. H​=Hu​​⋅Hn​​=Hu​​⋅i∑​Hn,i​​⋅2i=i∑​(Hn,i​​⋅Hu​​⋅2i⊕si​)⊕i∑​si​=i∑​tu,iHn,i​​​⊕i∑​si​≡Hn​⊕Hu​​","breadcrumbs":"MAC » 3.2 Computing ciphertexts with an arbitrary number of blocks","id":"71","title":"3.2 Computing ciphertexts with an arbitrary number of blocks"},"72":{"body":"In the actual implementation of the protocol we only compute odd multiplicative shares, i.e. H,H3,H5,…, so that we only need to share these odd shares in step 3 . This is possible because we can compute even additive shares from odd additive shares. We observe that for even k: Hk​=(Hnk/2​⊕Huk/2​)2=(Hnk/2​)2⊕Hnk/2​Huk/2​⊕Huk/2​Hnk/2​⊕(Huk/2​)2=(Hnk/2​)2⊕(Huk/2​)2=Hnk​⊕Huk​​​ So we only need to convert odd multiplicative shares into odd additive shares, which gives us a 50% reduction in cost. The remaining even additive shares can then be computed locally.","breadcrumbs":"MAC » 3.3 Free Squaring","id":"72","title":"3.3 Free Squaring"},"73":{"body":"Both the A2M and M2A protocols on their own only provide semi-honest security. They are secure against a malicious receiver, but the sender has degrees of freedom to cause leakage of the MAC keyshares. However, for our purposes this does not present a problem as long as leakage is detected. To detect a malicious sender, we require the sender to commit to the PRG seed used to generate the random values in the share conversion protocols. After the TLS session is closed the MAC keyshares are no longer secret, which allows the sender to reveal this seed to the receiver. Subsequently, the receiver can perform a consistency check to make sure the sender followed the protocol honestly. 3.3.1 Malicious notary The protocol is secure against a malicious notary, because he is the OT receiver, which means that there is actually no input from him during the protocol execution except for the final MAC output. He just receives the OT input from the user, so the only thing he can do is to provide a wrong MAC keyshare. This will cause the server to reject the MAC when the user sends the request. The protocol simply aborts. 3.3.2 Malicious user A malicious user could actually manipulate what he sends in the OT and potentially endanger the security of the protocol by leaking the notary's MAC key. To address this we force the user to reveal his MAC key after the server response so that the notary can check for the correctness of the whole MAC 2PC protocol. Then if the notary detects that the user cheated, he would simply abort the protocol. The only problem when doing this is, that we want the whole TLSNotary protocol to work under the assumption that the notary can intercept the traffic between the user and the server. This would allow the notary to trick the user into thinking that the TLS session is already terminated, if he can force the server to respond. The user would send his MAC key share too early and the notary could, now having the complete MAC key, forge the ciphertext and create a valid MAC for it. He would then send this forged request to the server and forward the response of the server to the user. To prevent this scenario we need to make sure that the TLS connection to the server is terminated before the user sends his MAC key share to the notary. Following the TLS RFC , we leverage close_notify to ensure all messages sent to the server have been processed and the connection is closed. Unfortunately, many server TLS implementations do not support close_notify. In these cases we instead send an invalid message to the server which forces it to respond with a fatal alert message and close the connection.","breadcrumbs":"MAC » 3.3 Creating a robust protocol","id":"73","title":"3.3 Creating a robust protocol"},"74":{"body":"Here we illustrate the commitment scheme used to create authenticated commitments to the plaintext in scenarios where a general-purpose Notary is used. (Note that this scheme is not used when the Prover proves directly to the Verifier) A naive approach of extending the Encryption and Decryption steps to also compute a commitment (e.g. BLAKE3 hash) using MPC is too resource-intensive, prompting us to provide a more lightweight commitment scheme. The high-level idea is that the Prover creates a commitment to the active plaintext encoding from the MPC protocol used for Encryption and Decryption . We also hide the amount of commitments (to preserve Prover privacy) by having the Prover commit to the Merkle tree of commitments. Commitment","breadcrumbs":"Commitments » Commitments","id":"74","title":"Commitments"},"75":{"body":"Term Explanation 2PC Secure Two-party computation A2M Addition-to-Multiplication AES Advanced Encryption Standard DEAP Dual Execution with Asymmetric Privacy ECB Electronic codebook (encryption mode) ECDH Elliptic-Curve Diffie-Hellman GC Garbled Circuit GCM Galois/Counter Mode GHASH GCM hash HMAC Hash-based Message Authentication Code M2a Multiplication-to-Addition MAC Message Authentication Code MPC Secure Multi-party computation OT oblivious transfer PMS Pre master secret (TLS) PRF Pseudo Random Function PRG pseudorandom generator PSE Privacy and Scaling Exploration RSA Rivest–Shamir–Adleman (public-key cryptosystem) TLS transport layer security","breadcrumbs":"Glossary » Glossary","id":"75","title":"Glossary"},"8":{"body":"TLSNotary is developed by the Privacy and Scaling Exploration (PSE) research lab of the Ethereum Foundation. The PSE team is committed to conceptualizing and testing use cases for cryptographic primitives. TLSNotary is not a new project; in fact, it has been around for more than a decade . In 2022, TLSNotary was rebuilt from the ground up in Rust incorporating state-of-the-art cryptographic protocols. This renewed version of the TLSNotary protocol offers enhanced security, privacy, and performance. Older versions of TLSNotary, including PageSigner, have been archived due to a security vulnerability.","breadcrumbs":"Introduction » Who is behind TLSNotary?","id":"8","title":"Who is behind TLSNotary?"},"9":{"body":"The decentralized internet demands privacy-respecting data provenance! Data provenance ensures internet data is authentic. It allows verification of the data's origin and ensures the data hasn't been fabricated or tampered with. 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» Introduction","id":"0","title":"Introduction"},"1":{"body":"The Internet currently lacks effective, privacy-preserving Data Provenance . TLS , also known as the \"s\" in \"https\" 🔐 to the general public, ensures that data can be securely communicated between a server and a user. But how can this user credibly share this data with another user or server without compromising security, privacy, and control? Enter TLSNotary: a protocol enabling users to export data securely from any website. Using Zero Knowledge Proof (ZKP) technology, this data can be selectively shared with others in a cryptographically verifiable manner. TLSNotary makes data truly portable and allows a user, the Prover, to share it with another party, the Verifier, as they see fit.","breadcrumbs":"Introduction » Data Provenance without Compromising Privacy, That is Why!","id":"1","title":"Data Provenance without Compromising Privacy, That is Why!"},"10":{"body":"Transport Layer Security (TLS) plays a crucial role in digital security. TLS protects communication against eavesdropping and tampering. It ensures that the data received by a user ( \"Alice\" ) indeed originated from the Server and was not changed. The Server's identity is verified by Alice through trusted Certificate Authorities (CAs). Data integrity is maintained by transmitting a cryptographic hash (called Message Authentication Code or MAC in TLS) alongside the data, which safeguards against deliberate alterations. However, this hash does not provide non-repudiation , meaning it cannot serve as evidence for the authenticity and integrity of the data to Bob (e.g., a service or an app). Because it is a keyed hash and TLS requires that the key is known to Alice, she could potentially modify the data and compute a corresponding hash after the TLS session is finished. Achieving non-repudiation requires digital signatures implemented with asymmetric, public-key cryptography. While the concept seems straightforward, enabling servers to sign data is not a part of the TLS protocol. Even if all data were securely signed, naively sharing all data with others could expose too much information, compromising Alice's privacy. Privacy is a vital social good that must be protected.","breadcrumbs":"Motivation » Non-repudiation: TLS is not enough","id":"10","title":"Non-repudiation: TLS is not enough"},"11":{"body":"Currently, when Alice wants to share data from a Server with another party, OAuth can be used to facilitate this if the application supports it. In this way, the other party receives the data directly from the Server, ensuring authentic and unchanged data. However, applications often do not provide fine-grained control over which data to share, leading to the other party gaining access to more information than strictly necessary. Another drawback of this solution is that the Server is aware of the access delegation, enabling it to monitor and censor the other user’s requests. It's worth noting that in many instances, OAuth is not even presented as an option. This is because a lot of servers lack the incentive to provide third-party access to the data.","breadcrumbs":"Motivation » Status Quo: delegate access","id":"11","title":"Status Quo: delegate access"},"12":{"body":"TLSNotary operates by executing the TLS communication using multi-party computation (MPC). MPC allows Alice and Bob to jointly manage the TLS connection. With TLSNotary, Alice can selectively prove the authenticity of arbitrary portions of the data to Bob. Since Bob participated in the MPC-TLS communication, he is guaranteed that the data is authentic. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the TLS connection appears just like any other connection, meaning no modifications to the TLS protocol are necessary .","breadcrumbs":"Motivation » TLSNotary: data provenance and privacy with secure multi-party computation","id":"12","title":"TLSNotary: data provenance and privacy with secure multi-party computation"},"13":{"body":"TLSNotary is a solution designed to prove the authenticity of data while preserving user privacy. It unlocks a variety of new use cases. So, if you're looking for a way to make your data portable without compromising on privacy, TLSNotary is developed for you! Dive into the protocol and integrate it into your applications. We eagerly await your feedback on Discord .","breadcrumbs":"Motivation » Make your data portable with TLSNotary!","id":"13","title":"Make your data portable with TLSNotary!"},"14":{"body":"In this guide we will set up a general-purpose TLS verifier ( a.k.a. the Notary), so that a Prover can notarize some TLS data and generate a proof which he then shows to a Verifier for selective disclosure. 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P/S: The notary server used in this example is less functional compared to its advanced version . This simple version is easier to integrate with from prover perspective, whereas the advanced version provides additional features like TLS connection with prover, WebSocket endpoint, API endpoints for further customisation etc.","breadcrumbs":"Quick Start » Start a simple Notary server:","id":"18","title":"Start a simple Notary server:"},"19":{"body":"RUST_LOG=DEBUG,yamux=INFO cargo run --release --example simple_prover The notarization session usually takes a few moments and the resulting proof will be written to the \"proof.json\" file. The proof can then be passed on to the Verifier for verification. The simple_prover notarizes https://example.com and redacts the USER_AGENT HTTP header from the proof for the Verifier. You can change the code in tlsn/tlsn/examples/simple/simple_prover.rs to meet your needs: change which server the Prover connects to add or remove HTTP request headers redact other strings in the request or the response ⚠️ Please note that by default the Notary server expects that the cumulative size of the request and the server response is not more than 16KB.","breadcrumbs":"Quick Start » Run a simple Prover:","id":"19","title":"Run a simple Prover:"},"2":{"body":"The TLSNotary protocol consists of 3 steps: The Prover requests data from a Server over TLS while cooperating with the Verifier in secure and privacy-preserving multi-party computation (MPC) . The Prover selectively discloses the data to the Verifier. The Verifier verifies the data.","breadcrumbs":"Introduction » How Does the TLSNotary Protocol Work?","id":"2","title":"How Does the TLSNotary Protocol Work?"},"20":{"body":"cargo run --release --example simple_verifier This will verify the proof from the simple_prover (proof.json) and output the result to the console. Note how the parts which the prover chose not to disclose will be shown as \"X\": GET / HTTP/1.1\nhost: example.com\naccept: */*\naccept-encoding: identity\nconnection: close\nuser-agent: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX","breadcrumbs":"Quick Start » Run a simple Verifier:","id":"20","title":"Run a simple Verifier:"},"21":{"body":"On November 17th 2023 we organized a TLSNotary workshop at ProgCrypto . This workshop has more examples for you to explore at https://github.com/tlsnotary/progcrypto_workshop","breadcrumbs":"Quick Start » ProgCrypto workshop","id":"21","title":"ProgCrypto workshop"},"22":{"body":"This guide shows you how to run a notary server in an Ubuntu server instance.","breadcrumbs":"Run a Notary Server » Run a Notary Server","id":"22","title":"Run a Notary Server"},"23":{"body":"All the following settings can be configured in the config file . Before running a notary server you need the following files. The default dummy fixtures are for testing only and should never be used in production. File Purpose File Type Compulsory to change TLS private key The private key used for the notary server's TLS certificate to establish TLS connections with provers TLS private key in PEM format Yes unless TLS is turned off TLS certificate The notary server's TLS certificate to establish TLS connections with provers TLS certificate in PEM format Yes unless TLS is turned off Notary signature private key The private key used for the notary server's signature on the generated transcript of the TLS sessions with provers A P256 elliptic curve private key in PEM format Yes Notary signature public key The public key used for the notary server's signature on the generated transcript of the TLS sessions with provers A matching public key in PEM format Yes Expose the notary server port (specified in the config file) on your server networking setting Optionally one can turn on authorization , or turn off TLS if TLS is handled by an external setup","breadcrumbs":"Run a Notary Server » Configure Server Setting","id":"23","title":"Configure Server Setting"},"24":{"body":"Install required system dependencies sudo apt-get update && sudo apt-get upgrade\nsudo apt-get install libclang-dev pkg-config build-essential libssl-dev Install rust curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh\nsource ~/.cargo/env Download notary server source code mkdir ~/src; cd ~/src git clone https://github.com/tlsnotary/tlsn.git To configure the server setting , please refer to the Using Cargo section in the repo's readme Run the server cd tlsn/notary-server\ncargo run --release","breadcrumbs":"Run a Notary Server » Using Cargo","id":"24","title":"Using Cargo"},"25":{"body":"Install docker following your preferred method here To configure the server setting , please refer to the Using Docker section in the repo's readme Run the notary server docker image docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/notary-server:latest","breadcrumbs":"Run a Notary Server » Using Docker","id":"25","title":"Using Docker"},"26":{"body":"During the MPC-TLS phase the Prover and the Verifier run an MPC protocol enabling the Prover to connect to, and exchange data with, a TLS-enabled Server. Listed below are some key points regarding this protocol: The Verifier only learns the encrypted application data of the TLS session. The Prover is not solely capable of constructing requests, nor can they forge responses from the Server. The protocol enables the Prover to prove the authenticity of the exchanged data to the Verifier.","breadcrumbs":"MPC-TLS » MPC-TLS","id":"26","title":"MPC-TLS"},"27":{"body":"A TLS handshake is the first step in establishing a TLS connection between a Prover and a Server. In TLSNotary the Prover is the one who starts the TLS handshake and physically communicates with the Server, but all cryptographic TLS operations are performed together with the Verifier using MPC. The Prover and Verifier use a series of MPC protocols to compute the TLS session key in such a way that both only have their share of the key and never learn the full key. Both parties then proceed to complete the TLS handshake using their shares of the key. See our section on Key Exchange for more details of how this is done. Note: to a third party observer, the Prover's connection to the server appears like a regular TLS connection and the security guaranteed by TLS remains intact for the Prover. The only exception is that since the Verifier is a party to the MPC TLS, the security for the Prover against a malicious Verifier is provided by the underlying MPC protocols and not by TLS. With the shares of the session key computed and the TLS handshake completed, the parties now proceed to the next MPC protocol where they use their session key shares to jointly generate encrypted requests and decrypt server responses while keeping the plaintext of both the requests and responses private from the Verifier.","breadcrumbs":"MPC-TLS » Handshake » Handshake","id":"27","title":"Handshake"},"28":{"body":"This section explains how the Prover and Verifier use MPC to encrypt data sent to the server, decrypt data received from the server, and compute the MAC for the ciphertext using MPC. It shows how the Prover and Verifier collaborate to encrypt and decrypt data. The Verifier performs these tasks \"blindly\", without acquiring knowledge of the plaintext.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption, Decryption, and MAC Computation","id":"28","title":"Encryption, Decryption, and MAC Computation"},"29":{"body":"To encrypt the plaintext, both parties input their TLS key shares as private inputs to the MPC protocol, along with some other public data. Additionally, the Prover inputs her plaintext as a private input. Encryption Both parties see the resulting ciphertext and execute the 2PC MAC protocol to compute the MAC for the ciphertext. The Prover then dispatches the ciphertext and the MAC to the server.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption","id":"29","title":"Encryption"},"3":{"body":"TLSNotary works by adding a third party, a Verifier, to the usual TLS connection between the Prover and a Server. This Verifier is not \" a man in the middle \" . Instead, the Verifier participates in a secure multi-party computation (MPC) to jointly operate the TLS connection without seeing the data in plain text. By participating in the MPC, the Verifier can validate the authenticity of the data the Prover received from the Server. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the Prover's connection is a standard TLS connection.","breadcrumbs":"Introduction » ① Multi-party TLS Request","id":"3","title":"① Multi-party TLS Request"},"30":{"body":"Once the Prover receives the ciphertext and its associated MAC from the server, the parties first authenticate the ciphertext by validating the MAC. They do this by running the MPC protocol to compute the authentic MAC for the ciphertext. They then verify if the authentic MAC matches the MAC received from the server. Next, the parties decrypt the ciphertext by providing their key shares as private inputs to the MPC protocol, along with the ciphertext and some other public data. Decryption The resulting plaintext is revealed ONLY to the Prover. Please note, the actual low-level implementation details of decryption are more nuanced than what we have described here. For more information, please consult Low-level Decryption details .","breadcrumbs":"MPC-TLS » Encryption and Decryption » Decryption","id":"30","title":"Decryption"},"31":{"body":"Even though the Prover can prove data provenance directly to the Verifier, in some scenarios it may be beneficial for the Verifier to outsource the verification of the TLS session to a trusted Notary as explained here . As part of the TLSNotary protocol, the Prover creates authenticated commitments to the plaintext and has the Notary sign them without the Notary ever seeing the plaintext. This offers a way for the Prover to selectively prove the authenticity of arbitrary portions of the plaintext to an application-specific Verifier later. Please refer to the Commitments section for low-level details on the commitment scheme.","breadcrumbs":"Notarization » Notarization","id":"31","title":"Notarization"},"32":{"body":"The Notary signs an artifact known as a Session Header, thereby attesting to the authenticity of the plaintext from a TLS session. A Session Header contains a Prover's commitment to the plaintext and a Prover's commitment to TLS-specific data which uniquely identifies the server. The Prover can later use the signed Session Header to prove data provenance to an application-specific Verifier. It's important to highlight that throughout the entire TLSNotary protocol, including this signing stage, the Notary does not gain knowledge of either the plaintext or the identity of the server with which the Prover communicated.","breadcrumbs":"Notarization » Signing the Session Header","id":"32","title":"Signing the Session Header"},"33":{"body":"To prove data provenance to a third-party Verifier, the Prover provides the following information: Session Header signed by the Verifier opening to the plaintext commitment TLS-specific data which uniquely identifies the server identity of the server The Verifier performs the following verification steps: verifies that the opening corresponds to the commitment in the Session Header verifies that the TLS-specific data corresponds to the commitment in the Session Header verifies the identity of the server against TLS-specific data Next, the Verifier parses the opening with an application-specific parser (e.g. HTTP or JSON) to get the final output. Since the Prover is allowed to selectively disclose the data, that data which was not disclosed by the Prover will appear to the Verifier as redacted. Below is an example of a verification output for an HTTP 1.1 request and response. Note that since the Prover chose not to disclose some sensitive information like their HTTP session token and address, that information will be withheld from the Verifier and will appear to him as redacted (in red). Verification example","breadcrumbs":"Verification » Verification","id":"33","title":"Verification"},"34":{"body":"In TLS, the first step towards obtaining TLS session keys is to compute a shared secret between the client and the server by running the ECDH protocol . The resulting shared secret in TLS terms is called the pre-master secret PMS . With TLSNotary, at the end of the key exchange, the Server gets the PMS as usual. The Prover and the Verifier, jointly operating as the TLS client, compute additive shares of the PMS. This prevents either party from unilaterally sending or receiving messages with the Server. Subsequently, the authenticity and integrity of the messages are guaranteed to both the Prover and Verifier, while also keeping the plaintext hidden from the Verifier. The 3-party ECDH protocol between the Server the Prover and the Verifier works as follows: Server sends its public key Qb​ to Prover, and Prover forwards it to Verifier Prover picks a random private key share dc​ and computes a public key share Qc​=dc​∗G Verifier picks a random private key share dn​ and computes a public key share Qn​=dn​∗G Verifier sends Qn​ to Prover who computes Qa​=Qc​+Qn​ and sends Qa​ to Server Prover computes an EC point (xp​,yp​)=dc​∗Qb​ Verifier computes an EC point (xq​,yq​)=dn​∗Qb​ Addition of points (xp​,yp​) and (xq​,yq​) results in the coordinate xr​, which is PMS. (The coordinate yr​ is not used in TLS) Using the notation from here , our goal is to compute xr​=(xq​−xp​yq​−yp​​)2−xp​−xq​ in such a way that Neither party learns the other party's x value Neither party learns xr​, only their respective shares of xr​. We will use two maliciously secure protocols described on p.25 in the paper Efficient Secure Two-Party Exponentiation : A2M protocol, which converts additive shares into multiplicative shares, i.e. given shares a and b such that a + b = c, it converts them into shares d and e such that d * e = c M2A protocol, which converts multiplicative shares into additive shares We apply A2M to yq​+(−yp​) to get Aq​∗Ap​ and also we apply A2M to xq​+(−xp​) to get Bq​∗Bp​. Then the above can be rewritten as: xr​=(Bq​Aq​​)2∗(Bp​Ap​​)2−xp​−xq​ Then the first party locally computes the first factor and gets Cq​, the second party locally computes the second factor and gets Cp​. Then we can again rewrite as: xr​=Cq​∗Cp​−xp​−xq​ Now we apply M2A to Cq​∗Cp​ to get Dq​+Dp​, which leads us to two final terms each of which is the share of xr​ of the respective party: xr​=(Dq​−xq​)+(Dp​−xp​)","breadcrumbs":"Key Exchange » Key Exchange","id":"34","title":"Key Exchange"},"35":{"body":"Some protocols used in TLSNotary need to convert two-party sharings of products or sums of some field elements into each other. For this purpose we use share conversion protocols which use oblivious transfer (OT) as a sub-protocol. Here we want to have a closer look at the security guarantees these protocols offer.","breadcrumbs":"Finite-Field Arithmetic » Finite-Field Arithmetic","id":"35","title":"Finite-Field Arithmetic"},"36":{"body":"Our goal is to add covert security to our share conversion protocols. This means that we want an honest party to be able to detect a malicious adversary, who is then able to abort the protocol. Our main concern is that the adversary might be able to leak private inputs of the honest party without being noticed. For this reason we require that the adversary cannot do anything which would give him a better chance than guessing the private input at random, which is guessing k bits with a probability of 2−k for not being detected. In the following we want to have a closer look at how the sender and receiver can deviate from the protocol. Malicious receiver Note that in our protocol a malicious receiver cannot forge the protocol output, since he does not send anything to the sender during protocol execution. Even when this protocol is embedded into an outer protocol, where at some point the receiver has to open his output or a computation involving it, then all he can do is to open an output y′ with y′=y, which is just equivalent to changing his input from b→b′. Malicious sender In the case of a malicious sender the following things can happen: The sender can impose an arbitrary field element b′ as input onto the receiver without him noticing. To do this he simply sends (tik​,tik​) in every OT, where k is i-th bit of b′. The sender can execute a selective-failure attack, which allows him to learn any predicate about the receiver's input. For each OT round i, the sender alters one of the OT values to be Tik​=tik​+ci​, where ci​∈F,k∈{0,1}. This will cause that in the end the equation a⋅b=x+y no longer holds but only if the forged OT value has actually been picked by the receiver. The sender does not use a random number generator with a seed r to sample the masks si​, instead he simply chooses them at will.","breadcrumbs":"Finite-Field Arithmetic » Adding covert security","id":"36","title":"Adding covert security"},"37":{"body":"Without loss of generality let us recall the Multiplication-To-Addition (M2A) protocol, but our observations also apply to the Addition-To-Multiplication (A2M) protocol, which is very similar. We start with a short review of the M2A protocol. Let there be a sender with some field element a and some receiver with another field element b. After protocol execution the sender ends up with x and the receiver ends up with y, so that a⋅b=x+y. a,b,x,y∈F r - rng seed m - bit-length of elements in F n - bit-length of rng seed OT Sender with input a∈F,r←{0,1}n Sample some random masks: si​=rng(r,i),0≤i> 1) ^ ((x & 1) * R)\n8. return result Standard math properties hold in finite field math, viz. commutative: a+b=b+a and distributive: a(b+c)=ab+ac.","breadcrumbs":"MAC » 2.2 GHASH output","id":"68","title":"2.2 GHASH output"},"69":{"body":"The goal of the protocol is to compute the MAC in such a way that neither party would learn the other party's share of H i.e. the GHASH key share. At the start of the protocol each party has: ciphertext blocks X1​,X2​,...,Xm​. XOR share of H: the User has Hu​ and the Notary has Hn​. XOR share of the GCTR output: the User has GCTRu​ and the Notary has GCTRn​. Note that 2. and 3. were obtained at an earlier stage of the TLSNotary protocol.","breadcrumbs":"MAC » 3. Computing MAC using secure two-party computation (2PC)","id":"69","title":"3. Computing MAC using secure two-party computation (2PC)"},"7":{"body":"TLSNotary can be used for various purposes. For example, you can use TLSNotary to prove that: you have access to an account on a web platform a website showed specific content on a certain date you have private information about yourself (address, birth date, health, etc.) you have received a money transfer using your online banking account without revealing your login credentials or sensitive financial information you received a private message from someone you purchased an item online you were blocked from using an app you earned professional certificates While TLSNotary can notarize publicly available data, it does not solve the \" oracle problem \". For this use case, existing oracle solutions are more suitable.","breadcrumbs":"Introduction » What Can TLSNotary Do?","id":"7","title":"What Can TLSNotary Do?"},"70":{"body":"To illustrate what we want to achieve, we consider the case of just having a single ciphertext block X1​. The GHASH_output will be: X1​•H=X1​•(Hu​⊕Hn​)=X1​•Hu​⊕X1​•Hn​ The User and the Notary will compute locally the left and the right terms respectively. Then each party will XOR their result to the GCTR output share and will get their XOR share of the MAC: User : X1​•Hu​⊕GCTRu​=MACu​ Notary: X1​•Hn​⊕GCTRn​=MACn​ Finally, the Notary sends MACn​ to the User who obtains: MAC=MACn​⊕MACu​ For longer ciphertexts, the problem is that higher powers of the hashkey Hk cannot be computed locally, because we deal with additive sharings, i.e.(Hu​)k⊕(Hn​)k=Hk.","breadcrumbs":"MAC » 3.1 Example with a single ciphertext block","id":"70","title":"3.1 Example with a single ciphertext block"},"71":{"body":"We now introduce our 2PC MAC protocol for computing ciphertexts with an arbitrary number of blocks. Our protocol can be divided into the following steps. Steps First, both parties convert their additive shares Hu​ and Hn​ into multiplicative shares Hu​ and Hn​. This allows each party to locally compute the needed higher powers of these multiplicative shares, i.e for m blocks of ciphertext: the user computes Hu​​2,Hu​​3,...Hu​​m the notary computes Hn​​2,Hn​​3,...Hn​​m Then both parties convert each of these multiplicative shares back to additive shares the user ends up with Hu​,Hu2​,...Hum​ the notary ends up with Hn​,Hn2​,...Hnm​ Each party can now locally compute their additive MAC share MACn/u​. The conversion steps ( 1 and 3 ) require communication between the user and the notary. They will use A2M (Addition-to-Multiplication) and M2A (Multiplication-to-Addition) protocols, which make use of oblivious transfer , to convert the shares. The user will be the sender and the notary the receiver. 2PC MAC Overview 3.2.1 (A2M) Convert additive shares of H into multiplicative share At first (step 1 ) we have to get a multiplicative share of Hn/u​, so that notary and user can locally compute the needed higher powers. For this we use an adapted version of the A2M protocol in chapter 4 of Efficient Secure Two-Party Exponentiation . The user will decompose his share into i individual oblivious transfers tu,ik​=R⋅(k⋅2i+Hu,i​⋅2i⊕si​), where R is some random value used for all oblivious transfers si​ is a random mask used per oblivious transfer, with ∑i​si​=0 k∈0,1 depending on the receiver's choice. The notary's choice in the i-th OT will depend on the bit value in the i-th position of his additive share Hn​. In the end the multiplicative share of the user Hu​​ will simply be the inverse R−1 of the random value, and the notary will sum all his OT outputs, so that all the si​ will vanish and hence he gets his multiplicative share Hn​​. H​=Hu​⊕Hn​=R−1⋅R⋅i∑​(Hu,i​⊕Hn,i​)⋅2i⊕si​=R−1⋅i∑​tu,iHn,i​​⊕R⋅i∑​si​=Hu​​⋅Hn​​​​ 3.2.2 (M2A) Convert multiplicative shares Hk into additive shares In step 3 of our protocol, we use the oblivious transfer method described in chapter 4.1 of the Gilboa paper Two Party RSA Key Generation to convert all the multiplicative shares Hn/uk​​ back into additive shares Hn/uk​. We only show how the method works for the share Hn/u1​​, because it is the same for higher powers. The user will be the OT sender and decompose his shares into i individual oblivious transfers tu,ik​=k⋅Hu​​⋅2i+si​, where k∈0,1, depending on the receiver's choices. Each of these OTs is masked with a random value si​. He will then obliviously send them to the notary. Depending on the binary representation of his multiplicative share, the notary will choose one of the choices and do this for all 128 oblivious transfers. After that the user will locally XOR all his si​ and end up with his additive share Hu​, and the notary will do the same for all the results of the oblivious transfers and get Hn​. H​=Hu​​⋅Hn​​=Hu​​⋅i∑​Hn,i​​⋅2i=i∑​(Hn,i​​⋅Hu​​⋅2i⊕si​)⊕i∑​si​=i∑​tu,iHn,i​​​⊕i∑​si​≡Hn​⊕Hu​​","breadcrumbs":"MAC » 3.2 Computing ciphertexts with an arbitrary number of blocks","id":"71","title":"3.2 Computing ciphertexts with an arbitrary number of blocks"},"72":{"body":"In the actual implementation of the protocol we only compute odd multiplicative shares, i.e. H,H3,H5,…, so that we only need to share these odd shares in step 3 . This is possible because we can compute even additive shares from odd additive shares. We observe that for even k: Hk​=(Hnk/2​⊕Huk/2​)2=(Hnk/2​)2⊕Hnk/2​Huk/2​⊕Huk/2​Hnk/2​⊕(Huk/2​)2=(Hnk/2​)2⊕(Huk/2​)2=Hnk​⊕Huk​​​ So we only need to convert odd multiplicative shares into odd additive shares, which gives us a 50% reduction in cost. The remaining even additive shares can then be computed locally.","breadcrumbs":"MAC » 3.3 Free Squaring","id":"72","title":"3.3 Free Squaring"},"73":{"body":"Both the A2M and M2A protocols on their own only provide semi-honest security. They are secure against a malicious receiver, but the sender has degrees of freedom to cause leakage of the MAC keyshares. However, for our purposes this does not present a problem as long as leakage is detected. To detect a malicious sender, we require the sender to commit to the PRG seed used to generate the random values in the share conversion protocols. After the TLS session is closed the MAC keyshares are no longer secret, which allows the sender to reveal this seed to the receiver. Subsequently, the receiver can perform a consistency check to make sure the sender followed the protocol honestly. 3.3.1 Malicious notary The protocol is secure against a malicious notary, because he is the OT receiver, which means that there is actually no input from him during the protocol execution except for the final MAC output. He just receives the OT input from the user, so the only thing he can do is to provide a wrong MAC keyshare. This will cause the server to reject the MAC when the user sends the request. The protocol simply aborts. 3.3.2 Malicious user A malicious user could actually manipulate what he sends in the OT and potentially endanger the security of the protocol by leaking the notary's MAC key. To address this we force the user to reveal his MAC key after the server response so that the notary can check for the correctness of the whole MAC 2PC protocol. Then if the notary detects that the user cheated, he would simply abort the protocol. The only problem when doing this is, that we want the whole TLSNotary protocol to work under the assumption that the notary can intercept the traffic between the user and the server. This would allow the notary to trick the user into thinking that the TLS session is already terminated, if he can force the server to respond. The user would send his MAC key share too early and the notary could, now having the complete MAC key, forge the ciphertext and create a valid MAC for it. He would then send this forged request to the server and forward the response of the server to the user. To prevent this scenario we need to make sure that the TLS connection to the server is terminated before the user sends his MAC key share to the notary. Following the TLS RFC , we leverage close_notify to ensure all messages sent to the server have been processed and the connection is closed. Unfortunately, many server TLS implementations do not support close_notify. In these cases we instead send an invalid message to the server which forces it to respond with a fatal alert message and close the connection.","breadcrumbs":"MAC » 3.3 Creating a robust protocol","id":"73","title":"3.3 Creating a robust protocol"},"74":{"body":"Here we illustrate the commitment scheme used to create authenticated commitments to the plaintext in scenarios where a general-purpose Notary is used. (Note that this scheme is not used when the Prover proves directly to the Verifier) A naive approach of extending the Encryption and Decryption steps to also compute a commitment (e.g. BLAKE3 hash) using MPC is too resource-intensive, prompting us to provide a more lightweight commitment scheme. The high-level idea is that the Prover creates a commitment to the active plaintext encoding from the MPC protocol used for Encryption and Decryption . We also hide the amount of commitments (to preserve Prover privacy) by having the Prover commit to the Merkle tree of commitments. Commitment","breadcrumbs":"Commitments » Commitments","id":"74","title":"Commitments"},"75":{"body":"Term Explanation 2PC Secure Two-party computation A2M Addition-to-Multiplication AES Advanced Encryption Standard DEAP Dual Execution with Asymmetric Privacy ECB Electronic codebook (encryption mode) ECDH Elliptic-Curve Diffie-Hellman GC Garbled Circuit GCM Galois/Counter Mode GHASH GCM hash HMAC Hash-based Message Authentication Code M2a Multiplication-to-Addition MAC Message Authentication Code MPC Secure Multi-party computation OT oblivious transfer PMS Pre master secret (TLS) PRF Pseudo Random Function PRG pseudorandom generator PSE Privacy and Scaling Exploration RSA Rivest–Shamir–Adleman (public-key cryptosystem) TLS transport layer security","breadcrumbs":"Glossary » Glossary","id":"75","title":"Glossary"},"8":{"body":"TLSNotary is developed by the Privacy and Scaling Exploration (PSE) research lab of the Ethereum Foundation. The PSE team is committed to conceptualizing and testing use cases for cryptographic primitives. TLSNotary is not a new project; in fact, it has been around for more than a decade . In 2022, TLSNotary was rebuilt from the ground up in Rust incorporating state-of-the-art cryptographic protocols. This renewed version of the TLSNotary protocol offers enhanced security, privacy, and performance. Older versions of TLSNotary, including PageSigner, have been archived due to a security vulnerability.","breadcrumbs":"Introduction » Who is behind TLSNotary?","id":"8","title":"Who is behind TLSNotary?"},"9":{"body":"The decentralized internet demands privacy-respecting data provenance! Data provenance ensures internet data is authentic. It allows verification of the data's origin and ensures the data hasn't been fabricated or tampered with. 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» Introduction","id":"0","title":"Introduction"},"1":{"body":"The Internet currently lacks effective, privacy-preserving Data Provenance . TLS , also known as the \"s\" in \"https\" 🔐 to the general public, ensures that data can be securely communicated between a server and a user. But how can this user credibly share this data with another user or server without compromising security, privacy, and control? Enter TLSNotary: a protocol enabling users to export data securely from any website. Using Zero Knowledge Proof (ZKP) technology, this data can be selectively shared with others in a cryptographically verifiable manner. TLSNotary makes data truly portable and allows a user, the Prover, to share it with another party, the Verifier, as they see fit.","breadcrumbs":"Introduction » Data Provenance without Compromising Privacy, That is Why!","id":"1","title":"Data Provenance without Compromising Privacy, That is Why!"},"10":{"body":"Transport Layer Security (TLS) plays a crucial role in digital security. TLS protects communication against eavesdropping and tampering. It ensures that the data received by a user ( \"Alice\" ) indeed originated from the Server and was not changed. The Server's identity is verified by Alice through trusted Certificate Authorities (CAs). Data integrity is maintained by transmitting a cryptographic hash (called Message Authentication Code or MAC in TLS) alongside the data, which safeguards against deliberate alterations. However, this hash does not provide non-repudiation , meaning it cannot serve as evidence for the authenticity and integrity of the data to Bob (e.g., a service or an app). Because it is a keyed hash and TLS requires that the key is known to Alice, she could potentially modify the data and compute a corresponding hash after the TLS session is finished. Achieving non-repudiation requires digital signatures implemented with asymmetric, public-key cryptography. While the concept seems straightforward, enabling servers to sign data is not a part of the TLS protocol. Even if all data were securely signed, naively sharing all data with others could expose too much information, compromising Alice's privacy. Privacy is a vital social good that must be protected.","breadcrumbs":"Motivation » Non-repudiation: TLS is not enough","id":"10","title":"Non-repudiation: TLS is not enough"},"11":{"body":"Currently, when Alice wants to share data from a Server with another party, OAuth can be used to facilitate this if the application supports it. In this way, the other party receives the data directly from the Server, ensuring authentic and unchanged data. However, applications often do not provide fine-grained control over which data to share, leading to the other party gaining access to more information than strictly necessary. Another drawback of this solution is that the Server is aware of the access delegation, enabling it to monitor and censor the other user’s requests. It's worth noting that in many instances, OAuth is not even presented as an option. This is because a lot of servers lack the incentive to provide third-party access to the data.","breadcrumbs":"Motivation » Status Quo: delegate access","id":"11","title":"Status Quo: delegate access"},"12":{"body":"TLSNotary operates by executing the TLS communication using multi-party computation (MPC). MPC allows Alice and Bob to jointly manage the TLS connection. With TLSNotary, Alice can selectively prove the authenticity of arbitrary portions of the data to Bob. Since Bob participated in the MPC-TLS communication, he is guaranteed that the data is authentic. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the TLS connection appears just like any other connection, meaning no modifications to the TLS protocol are necessary .","breadcrumbs":"Motivation » TLSNotary: data provenance and privacy with secure multi-party computation","id":"12","title":"TLSNotary: data provenance and privacy with secure multi-party computation"},"13":{"body":"TLSNotary is a solution designed to prove the authenticity of data while preserving user privacy. It unlocks a variety of new use cases. So, if you're looking for a way to make your data portable without compromising on privacy, TLSNotary is developed for you! Dive into the protocol and integrate it into your applications. We eagerly await your feedback on Discord .","breadcrumbs":"Motivation » Make your data portable with TLSNotary!","id":"13","title":"Make your data portable with TLSNotary!"},"14":{"body":"In this guide we will set up a general-purpose TLS verifier ( a.k.a. the Notary), so that a Prover can notarize some TLS data and generate a proof which he then shows to a Verifier for selective disclosure. So this guide will take you through the steps of: starting a Notary server running a Prover to notarize some web data running a Verifier to verify the notarized data","breadcrumbs":"Quick Start » Quick Start","id":"14","title":"Quick Start"},"15":{"body":"","breadcrumbs":"Quick Start » Preliminaries","id":"15","title":"Preliminaries"},"16":{"body":"If you don't have rust installed yet, install it with rustup : curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh","breadcrumbs":"Quick Start » Install rust","id":"16","title":"Install rust"},"17":{"body":"Clone this repository first git clone https://github.com/tlsnotary/tlsn","breadcrumbs":"Quick Start » Guide","id":"17","title":"Guide"},"18":{"body":"cd tlsn/tlsn/examples/simple\ncargo run --release --example simple_notary The Notary server will now be running in the background waiting for connections from a Prover. You can switch to another console to run the Prover. P/S: The notary server used in this example is less functional compared to its advanced version . This simple version is easier to integrate with from prover perspective, whereas the advanced version provides additional features like TLS connection with prover, WebSocket endpoint, API endpoints for further customisation etc.","breadcrumbs":"Quick Start » Start a simple Notary server:","id":"18","title":"Start a simple Notary server:"},"19":{"body":"RUST_LOG=DEBUG,yamux=INFO cargo run --release --example simple_prover The notarization session usually takes a few moments and the resulting proof will be written to the \"proof.json\" file. The proof can then be passed on to the Verifier for verification. The simple_prover notarizes https://example.com and redacts the USER_AGENT HTTP header from the proof for the Verifier. You can change the code in tlsn/tlsn/examples/simple/simple_prover.rs to meet your needs: change which server the Prover connects to add or remove HTTP request headers redact other strings in the request or the response ⚠️ Please note that by default the Notary server expects that the cumulative size of the request and the server response is not more than 16KB.","breadcrumbs":"Quick Start » Run a simple Prover:","id":"19","title":"Run a simple Prover:"},"2":{"body":"The TLSNotary protocol consists of 3 steps: The Prover requests data from a Server over TLS while cooperating with the Verifier in secure and privacy-preserving multi-party computation (MPC) . The Prover selectively discloses the data to the Verifier. The Verifier verifies the data.","breadcrumbs":"Introduction » How Does the TLSNotary Protocol Work?","id":"2","title":"How Does the TLSNotary Protocol Work?"},"20":{"body":"cargo run --release --example simple_verifier This will verify the proof from the simple_prover (proof.json) and output the result to the console. Note how the parts which the prover chose not to disclose will be shown as \"X\": GET / HTTP/1.1\nhost: example.com\naccept: */*\naccept-encoding: identity\nconnection: close\nuser-agent: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX","breadcrumbs":"Quick Start » Run a simple Verifier:","id":"20","title":"Run a simple Verifier:"},"21":{"body":"On November 17th 2023 we organized a TLSNotary workshop at ProgCrypto . This workshop has more examples for you to explore at https://github.com/tlsnotary/progcrypto_workshop","breadcrumbs":"Quick Start » ProgCrypto workshop","id":"21","title":"ProgCrypto workshop"},"22":{"body":"This guide shows you how to run a notary server in an Ubuntu server instance.","breadcrumbs":"Run a Notary Server » Run a Notary Server","id":"22","title":"Run a Notary Server"},"23":{"body":"All the following settings can be configured in the config file . Before running a notary server you need the following files. The default dummy fixtures are for testing only and should never be used in production. File Purpose File Type Compulsory to change TLS private key The private key used for the notary server's TLS certificate to establish TLS connections with provers TLS private key in PEM format Yes unless TLS is turned off TLS certificate The notary server's TLS certificate to establish TLS connections with provers TLS certificate in PEM format Yes unless TLS is turned off Notary signature private key The private key used for the notary server's signature on the generated transcript of the TLS sessions with provers A P256 elliptic curve private key in PEM format Yes Notary signature public key The public key used for the notary server's signature on the generated transcript of the TLS sessions with provers A matching public key in PEM format Yes Expose the notary server port (specified in the config file) on your server networking setting Optionally one can turn on authorization , or turn off TLS if TLS is handled by an external setup","breadcrumbs":"Run a Notary Server » Configure Server Setting","id":"23","title":"Configure Server Setting"},"24":{"body":"Install required system dependencies sudo apt-get update && sudo apt-get upgrade\nsudo apt-get install libclang-dev pkg-config build-essential libssl-dev Install rust curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh\nsource ~/.cargo/env Download notary server source code mkdir ~/src; cd ~/src git clone https://github.com/tlsnotary/tlsn.git Switch to your desired released version , or stay in the dev branch to use the latest code, e.g. git checkout tags/ To configure the server setting , please refer to the Using Cargo section in the repo's readme Run the server cd tlsn/notary-server\ncargo run --release","breadcrumbs":"Run a Notary Server » Using Cargo","id":"24","title":"Using Cargo"},"25":{"body":"Install docker following your preferred method here To configure the server setting , please refer to the Using Docker section in the repo's readme Run the notary server docker image of your desired version docker run --init -p 127.0.0.1:7047:7047 ghcr.io/tlsnotary/tlsn/notary-server:","breadcrumbs":"Run a Notary Server » Using Docker","id":"25","title":"Using Docker"},"26":{"body":"During the MPC-TLS phase the Prover and the Verifier run an MPC protocol enabling the Prover to connect to, and exchange data with, a TLS-enabled Server. Listed below are some key points regarding this protocol: The Verifier only learns the encrypted application data of the TLS session. The Prover is not solely capable of constructing requests, nor can they forge responses from the Server. The protocol enables the Prover to prove the authenticity of the exchanged data to the Verifier.","breadcrumbs":"MPC-TLS » MPC-TLS","id":"26","title":"MPC-TLS"},"27":{"body":"A TLS handshake is the first step in establishing a TLS connection between a Prover and a Server. In TLSNotary the Prover is the one who starts the TLS handshake and physically communicates with the Server, but all cryptographic TLS operations are performed together with the Verifier using MPC. The Prover and Verifier use a series of MPC protocols to compute the TLS session key in such a way that both only have their share of the key and never learn the full key. Both parties then proceed to complete the TLS handshake using their shares of the key. See our section on Key Exchange for more details of how this is done. Note: to a third party observer, the Prover's connection to the server appears like a regular TLS connection and the security guaranteed by TLS remains intact for the Prover. The only exception is that since the Verifier is a party to the MPC TLS, the security for the Prover against a malicious Verifier is provided by the underlying MPC protocols and not by TLS. With the shares of the session key computed and the TLS handshake completed, the parties now proceed to the next MPC protocol where they use their session key shares to jointly generate encrypted requests and decrypt server responses while keeping the plaintext of both the requests and responses private from the Verifier.","breadcrumbs":"MPC-TLS » Handshake » Handshake","id":"27","title":"Handshake"},"28":{"body":"This section explains how the Prover and Verifier use MPC to encrypt data sent to the server, decrypt data received from the server, and compute the MAC for the ciphertext using MPC. It shows how the Prover and Verifier collaborate to encrypt and decrypt data. The Verifier performs these tasks \"blindly\", without acquiring knowledge of the plaintext.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption, Decryption, and MAC Computation","id":"28","title":"Encryption, Decryption, and MAC Computation"},"29":{"body":"To encrypt the plaintext, both parties input their TLS key shares as private inputs to the MPC protocol, along with some other public data. Additionally, the Prover inputs her plaintext as a private input. Encryption Both parties see the resulting ciphertext and execute the 2PC MAC protocol to compute the MAC for the ciphertext. The Prover then dispatches the ciphertext and the MAC to the server.","breadcrumbs":"MPC-TLS » Encryption and Decryption » Encryption","id":"29","title":"Encryption"},"3":{"body":"TLSNotary works by adding a third party, a Verifier, to the usual TLS connection between the Prover and a Server. This Verifier is not \" a man in the middle \" . Instead, the Verifier participates in a secure multi-party computation (MPC) to jointly operate the TLS connection without seeing the data in plain text. By participating in the MPC, the Verifier can validate the authenticity of the data the Prover received from the Server. The TLSNotary protocol is transparent to the Server. From the Server's perspective, the Prover's connection is a standard TLS connection.","breadcrumbs":"Introduction » ① Multi-party TLS Request","id":"3","title":"① Multi-party TLS Request"},"30":{"body":"Once the Prover receives the ciphertext and its associated MAC from the server, the parties first authenticate the ciphertext by validating the MAC. They do this by running the MPC protocol to compute the authentic MAC for the ciphertext. They then verify if the authentic MAC matches the MAC received from the server. Next, the parties decrypt the ciphertext by providing their key shares as private inputs to the MPC protocol, along with the ciphertext and some other public data. Decryption The resulting plaintext is revealed ONLY to the Prover. Please note, the actual low-level implementation details of decryption are more nuanced than what we have described here. For more information, please consult Low-level Decryption details .","breadcrumbs":"MPC-TLS » Encryption and Decryption » Decryption","id":"30","title":"Decryption"},"31":{"body":"Even though the Prover can prove data provenance directly to the Verifier, in some scenarios it may be beneficial for the Verifier to outsource the verification of the TLS session to a trusted Notary as explained here . As part of the TLSNotary protocol, the Prover creates authenticated commitments to the plaintext and has the Notary sign them without the Notary ever seeing the plaintext. This offers a way for the Prover to selectively prove the authenticity of arbitrary portions of the plaintext to an application-specific Verifier later. Please refer to the Commitments section for low-level details on the commitment scheme.","breadcrumbs":"Notarization » Notarization","id":"31","title":"Notarization"},"32":{"body":"The Notary signs an artifact known as a Session Header, thereby attesting to the authenticity of the plaintext from a TLS session. A Session Header contains a Prover's commitment to the plaintext and a Prover's commitment to TLS-specific data which uniquely identifies the server. The Prover can later use the signed Session Header to prove data provenance to an application-specific Verifier. It's important to highlight that throughout the entire TLSNotary protocol, including this signing stage, the Notary does not gain knowledge of either the plaintext or the identity of the server with which the Prover communicated.","breadcrumbs":"Notarization » Signing the Session Header","id":"32","title":"Signing the Session Header"},"33":{"body":"To prove data provenance to a third-party Verifier, the Prover provides the following information: Session Header signed by the Verifier opening to the plaintext commitment TLS-specific data which uniquely identifies the server identity of the server The Verifier performs the following verification steps: verifies that the opening corresponds to the commitment in the Session Header verifies that the TLS-specific data corresponds to the commitment in the Session Header verifies the identity of the server against TLS-specific data Next, the Verifier parses the opening with an application-specific parser (e.g. HTTP or JSON) to get the final output. Since the Prover is allowed to selectively disclose the data, that data which was not disclosed by the Prover will appear to the Verifier as redacted. Below is an example of a verification output for an HTTP 1.1 request and response. Note that since the Prover chose not to disclose some sensitive information like their HTTP session token and address, that information will be withheld from the Verifier and will appear to him as redacted (in red). Verification example","breadcrumbs":"Verification » Verification","id":"33","title":"Verification"},"34":{"body":"In TLS, the first step towards obtaining TLS session keys is to compute a shared secret between the client and the server by running the ECDH protocol . The resulting shared secret in TLS terms is called the pre-master secret PMS . With TLSNotary, at the end of the key exchange, the Server gets the PMS as usual. The Prover and the Verifier, jointly operating as the TLS client, compute additive shares of the PMS. This prevents either party from unilaterally sending or receiving messages with the Server. Subsequently, the authenticity and integrity of the messages are guaranteed to both the Prover and Verifier, while also keeping the plaintext hidden from the Verifier. The 3-party ECDH protocol between the Server the Prover and the Verifier works as follows: Server sends its public key Qb​ to Prover, and Prover forwards it to Verifier Prover picks a random private key share dc​ and computes a public key share Qc​=dc​∗G Verifier picks a random private key share dn​ and computes a public key share Qn​=dn​∗G Verifier sends Qn​ to Prover who computes Qa​=Qc​+Qn​ and sends Qa​ to Server Prover computes an EC point (xp​,yp​)=dc​∗Qb​ Verifier computes an EC point (xq​,yq​)=dn​∗Qb​ Addition of points (xp​,yp​) and (xq​,yq​) results in the coordinate xr​, which is PMS. (The coordinate yr​ is not used in TLS) Using the notation from here , our goal is to compute xr​=(xq​−xp​yq​−yp​​)2−xp​−xq​ in such a way that Neither party learns the other party's x value Neither party learns xr​, only their respective shares of xr​. We will use two maliciously secure protocols described on p.25 in the paper Efficient Secure Two-Party Exponentiation : A2M protocol, which converts additive shares into multiplicative shares, i.e. given shares a and b such that a + b = c, it converts them into shares d and e such that d * e = c M2A protocol, which converts multiplicative shares into additive shares We apply A2M to yq​+(−yp​) to get Aq​∗Ap​ and also we apply A2M to xq​+(−xp​) to get Bq​∗Bp​. Then the above can be rewritten as: xr​=(Bq​Aq​​)2∗(Bp​Ap​​)2−xp​−xq​ Then the first party locally computes the first factor and gets Cq​, the second party locally computes the second factor and gets Cp​. Then we can again rewrite as: xr​=Cq​∗Cp​−xp​−xq​ Now we apply M2A to Cq​∗Cp​ to get Dq​+Dp​, which leads us to two final terms each of which is the share of xr​ of the respective party: xr​=(Dq​−xq​)+(Dp​−xp​)","breadcrumbs":"Key Exchange » Key Exchange","id":"34","title":"Key Exchange"},"35":{"body":"Some protocols used in TLSNotary need to convert two-party sharings of products or sums of some field elements into each other. For this purpose we use share conversion protocols which use oblivious transfer (OT) as a sub-protocol. Here we want to have a closer look at the security guarantees these protocols offer.","breadcrumbs":"Finite-Field Arithmetic » Finite-Field Arithmetic","id":"35","title":"Finite-Field Arithmetic"},"36":{"body":"Our goal is to add covert security to our share conversion protocols. This means that we want an honest party to be able to detect a malicious adversary, who is then able to abort the protocol. Our main concern is that the adversary might be able to leak private inputs of the honest party without being noticed. For this reason we require that the adversary cannot do anything which would give him a better chance than guessing the private input at random, which is guessing k bits with a probability of 2−k for not being detected. In the following we want to have a closer look at how the sender and receiver can deviate from the protocol. Malicious receiver Note that in our protocol a malicious receiver cannot forge the protocol output, since he does not send anything to the sender during protocol execution. Even when this protocol is embedded into an outer protocol, where at some point the receiver has to open his output or a computation involving it, then all he can do is to open an output y′ with y′=y, which is just equivalent to changing his input from b→b′. Malicious sender In the case of a malicious sender the following things can happen: The sender can impose an arbitrary field element b′ as input onto the receiver without him noticing. To do this he simply sends (tik​,tik​) in every OT, where k is i-th bit of b′. The sender can execute a selective-failure attack, which allows him to learn any predicate about the receiver's input. For each OT round i, the sender alters one of the OT values to be Tik​=tik​+ci​, where ci​∈F,k∈{0,1}. This will cause that in the end the equation a⋅b=x+y no longer holds but only if the forged OT value has actually been picked by the receiver. The sender does not use a random number generator with a seed r to sample the masks si​, instead he simply chooses them at will.","breadcrumbs":"Finite-Field Arithmetic » Adding covert security","id":"36","title":"Adding covert security"},"37":{"body":"Without loss of generality let us recall the Multiplication-To-Addition (M2A) protocol, but our observations also apply to the Addition-To-Multiplication (A2M) protocol, which is very similar. We start with a short review of the M2A protocol. Let there be a sender with some field element a and some receiver with another field element b. After protocol execution the sender ends up with x and the receiver ends up with y, so that a⋅b=x+y. a,b,x,y∈F r - rng seed m - bit-length of elements in F n - bit-length of rng seed OT Sender with input a∈F,r←{0,1}n Sample some random masks: si​=rng(r,i),0≤i> 1) ^ ((x & 1) * R)\n8. return result Standard math properties hold in finite field math, viz. commutative: a+b=b+a and distributive: a(b+c)=ab+ac.","breadcrumbs":"MAC » 2.2 GHASH output","id":"68","title":"2.2 GHASH output"},"69":{"body":"The goal of the protocol is to compute the MAC in such a way that neither party would learn the other party's share of H i.e. the GHASH key share. At the start of the protocol each party has: ciphertext blocks X1​,X2​,...,Xm​. XOR share of H: the User has Hu​ and the Notary has Hn​. XOR share of the GCTR output: the User has GCTRu​ and the Notary has GCTRn​. Note that 2. and 3. were obtained at an earlier stage of the TLSNotary protocol.","breadcrumbs":"MAC » 3. Computing MAC using secure two-party computation (2PC)","id":"69","title":"3. Computing MAC using secure two-party computation (2PC)"},"7":{"body":"TLSNotary can be used for various purposes. For example, you can use TLSNotary to prove that: you have access to an account on a web platform a website showed specific content on a certain date you have private information about yourself (address, birth date, health, etc.) you have received a money transfer using your online banking account without revealing your login credentials or sensitive financial information you received a private message from someone you purchased an item online you were blocked from using an app you earned professional certificates While TLSNotary can notarize publicly available data, it does not solve the \" oracle problem \". For this use case, existing oracle solutions are more suitable.","breadcrumbs":"Introduction » What Can TLSNotary Do?","id":"7","title":"What Can TLSNotary Do?"},"70":{"body":"To illustrate what we want to achieve, we consider the case of just having a single ciphertext block X1​. The GHASH_output will be: X1​•H=X1​•(Hu​⊕Hn​)=X1​•Hu​⊕X1​•Hn​ The User and the Notary will compute locally the left and the right terms respectively. Then each party will XOR their result to the GCTR output share and will get their XOR share of the MAC: User : X1​•Hu​⊕GCTRu​=MACu​ Notary: X1​•Hn​⊕GCTRn​=MACn​ Finally, the Notary sends MACn​ to the User who obtains: MAC=MACn​⊕MACu​ For longer ciphertexts, the problem is that higher powers of the hashkey Hk cannot be computed locally, because we deal with additive sharings, i.e.(Hu​)k⊕(Hn​)k=Hk.","breadcrumbs":"MAC » 3.1 Example with a single ciphertext block","id":"70","title":"3.1 Example with a single ciphertext block"},"71":{"body":"We now introduce our 2PC MAC protocol for computing ciphertexts with an arbitrary number of blocks. Our protocol can be divided into the following steps. Steps First, both parties convert their additive shares Hu​ and Hn​ into multiplicative shares Hu​ and Hn​. This allows each party to locally compute the needed higher powers of these multiplicative shares, i.e for m blocks of ciphertext: the user computes Hu​​2,Hu​​3,...Hu​​m the notary computes Hn​​2,Hn​​3,...Hn​​m Then both parties convert each of these multiplicative shares back to additive shares the user ends up with Hu​,Hu2​,...Hum​ the notary ends up with Hn​,Hn2​,...Hnm​ Each party can now locally compute their additive MAC share MACn/u​. The conversion steps ( 1 and 3 ) require communication between the user and the notary. They will use A2M (Addition-to-Multiplication) and M2A (Multiplication-to-Addition) protocols, which make use of oblivious transfer , to convert the shares. The user will be the sender and the notary the receiver. 2PC MAC Overview 3.2.1 (A2M) Convert additive shares of H into multiplicative share At first (step 1 ) we have to get a multiplicative share of Hn/u​, so that notary and user can locally compute the needed higher powers. For this we use an adapted version of the A2M protocol in chapter 4 of Efficient Secure Two-Party Exponentiation . The user will decompose his share into i individual oblivious transfers tu,ik​=R⋅(k⋅2i+Hu,i​⋅2i⊕si​), where R is some random value used for all oblivious transfers si​ is a random mask used per oblivious transfer, with ∑i​si​=0 k∈0,1 depending on the receiver's choice. The notary's choice in the i-th OT will depend on the bit value in the i-th position of his additive share Hn​. In the end the multiplicative share of the user Hu​​ will simply be the inverse R−1 of the random value, and the notary will sum all his OT outputs, so that all the si​ will vanish and hence he gets his multiplicative share Hn​​. H​=Hu​⊕Hn​=R−1⋅R⋅i∑​(Hu,i​⊕Hn,i​)⋅2i⊕si​=R−1⋅i∑​tu,iHn,i​​⊕R⋅i∑​si​=Hu​​⋅Hn​​​​ 3.2.2 (M2A) Convert multiplicative shares Hk into additive shares In step 3 of our protocol, we use the oblivious transfer method described in chapter 4.1 of the Gilboa paper Two Party RSA Key Generation to convert all the multiplicative shares Hn/uk​​ back into additive shares Hn/uk​. We only show how the method works for the share Hn/u1​​, because it is the same for higher powers. The user will be the OT sender and decompose his shares into i individual oblivious transfers tu,ik​=k⋅Hu​​⋅2i+si​, where k∈0,1, depending on the receiver's choices. Each of these OTs is masked with a random value si​. He will then obliviously send them to the notary. Depending on the binary representation of his multiplicative share, the notary will choose one of the choices and do this for all 128 oblivious transfers. After that the user will locally XOR all his si​ and end up with his additive share Hu​, and the notary will do the same for all the results of the oblivious transfers and get Hn​. H​=Hu​​⋅Hn​​=Hu​​⋅i∑​Hn,i​​⋅2i=i∑​(Hn,i​​⋅Hu​​⋅2i⊕si​)⊕i∑​si​=i∑​tu,iHn,i​​​⊕i∑​si​≡Hn​⊕Hu​​","breadcrumbs":"MAC » 3.2 Computing ciphertexts with an arbitrary number of blocks","id":"71","title":"3.2 Computing ciphertexts with an arbitrary number of blocks"},"72":{"body":"In the actual implementation of the protocol we only compute odd multiplicative shares, i.e. H,H3,H5,…, so that we only need to share these odd shares in step 3 . This is possible because we can compute even additive shares from odd additive shares. We observe that for even k: Hk​=(Hnk/2​⊕Huk/2​)2=(Hnk/2​)2⊕Hnk/2​Huk/2​⊕Huk/2​Hnk/2​⊕(Huk/2​)2=(Hnk/2​)2⊕(Huk/2​)2=Hnk​⊕Huk​​​ So we only need to convert odd multiplicative shares into odd additive shares, which gives us a 50% reduction in cost. The remaining even additive shares can then be computed locally.","breadcrumbs":"MAC » 3.3 Free Squaring","id":"72","title":"3.3 Free Squaring"},"73":{"body":"Both the A2M and M2A protocols on their own only provide semi-honest security. They are secure against a malicious receiver, but the sender has degrees of freedom to cause leakage of the MAC keyshares. However, for our purposes this does not present a problem as long as leakage is detected. To detect a malicious sender, we require the sender to commit to the PRG seed used to generate the random values in the share conversion protocols. After the TLS session is closed the MAC keyshares are no longer secret, which allows the sender to reveal this seed to the receiver. Subsequently, the receiver can perform a consistency check to make sure the sender followed the protocol honestly. 3.3.1 Malicious notary The protocol is secure against a malicious notary, because he is the OT receiver, which means that there is actually no input from him during the protocol execution except for the final MAC output. He just receives the OT input from the user, so the only thing he can do is to provide a wrong MAC keyshare. This will cause the server to reject the MAC when the user sends the request. The protocol simply aborts. 3.3.2 Malicious user A malicious user could actually manipulate what he sends in the OT and potentially endanger the security of the protocol by leaking the notary's MAC key. To address this we force the user to reveal his MAC key after the server response so that the notary can check for the correctness of the whole MAC 2PC protocol. Then if the notary detects that the user cheated, he would simply abort the protocol. The only problem when doing this is, that we want the whole TLSNotary protocol to work under the assumption that the notary can intercept the traffic between the user and the server. This would allow the notary to trick the user into thinking that the TLS session is already terminated, if he can force the server to respond. The user would send his MAC key share too early and the notary could, now having the complete MAC key, forge the ciphertext and create a valid MAC for it. He would then send this forged request to the server and forward the response of the server to the user. To prevent this scenario we need to make sure that the TLS connection to the server is terminated before the user sends his MAC key share to the notary. Following the TLS RFC , we leverage close_notify to ensure all messages sent to the server have been processed and the connection is closed. Unfortunately, many server TLS implementations do not support close_notify. In these cases we instead send an invalid message to the server which forces it to respond with a fatal alert message and close the connection.","breadcrumbs":"MAC » 3.3 Creating a robust protocol","id":"73","title":"3.3 Creating a robust protocol"},"74":{"body":"Here we illustrate the commitment scheme used to create authenticated commitments to the plaintext in scenarios where a general-purpose Notary is used. (Note that this scheme is not used when the Prover proves directly to the Verifier) A naive approach of extending the Encryption and Decryption steps to also compute a commitment (e.g. BLAKE3 hash) using MPC is too resource-intensive, prompting us to provide a more lightweight commitment scheme. The high-level idea is that the Prover creates a commitment to the active plaintext encoding from the MPC protocol used for Encryption and Decryption . We also hide the amount of commitments (to preserve Prover privacy) by having the Prover commit to the Merkle tree of commitments. Commitment","breadcrumbs":"Commitments » Commitments","id":"74","title":"Commitments"},"75":{"body":"Term Explanation 2PC Secure Two-party computation A2M Addition-to-Multiplication AES Advanced Encryption Standard DEAP Dual Execution with Asymmetric Privacy ECB Electronic codebook (encryption mode) ECDH Elliptic-Curve Diffie-Hellman GC Garbled Circuit GCM Galois/Counter Mode GHASH GCM hash HMAC Hash-based Message Authentication Code M2a Multiplication-to-Addition MAC Message Authentication Code MPC Secure Multi-party computation OT oblivious transfer PMS Pre master secret (TLS) PRF Pseudo Random Function PRG pseudorandom generator PSE Privacy and Scaling Exploration RSA Rivest–Shamir–Adleman (public-key cryptosystem) TLS transport layer security","breadcrumbs":"Glossary » Glossary","id":"75","title":"Glossary"},"8":{"body":"TLSNotary is developed by the Privacy and Scaling Exploration (PSE) research lab of the Ethereum Foundation. The PSE team is committed to conceptualizing and testing use cases for cryptographic primitives. TLSNotary is not a new project; in fact, it has been around for more than a decade . In 2022, TLSNotary was rebuilt from the ground up in Rust incorporating state-of-the-art cryptographic protocols. This renewed version of the TLSNotary protocol offers enhanced security, privacy, and performance. Older versions of TLSNotary, including PageSigner, have been archived due to a security vulnerability.","breadcrumbs":"Introduction » Who is behind TLSNotary?","id":"8","title":"Who is behind TLSNotary?"},"9":{"body":"The decentralized internet demands privacy-respecting data provenance! Data provenance ensures internet data is authentic. It allows verification of the data's origin and ensures the data hasn't been fabricated or tampered with. 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