rln-docs/searchindex.json

{"doc_urls":["rln.html#rln","overview.html#overview","what_is_rln.html#what-is-rate-limiting-nullifier","what_is_rln.html#how-it-works","what_is_rln.html#user-registration","what_is_rln.html#user-interaction","what_is_rln.html#user-removal-slashing","under_the_hood.html#under-the-hood","protocol_spec.html#technical-side-of-rln","protocol_spec.html#user-registration","protocol_spec.html#diagram","circuits.html#circuits","uses.html#uses","uses.html#zk-chat","how_to_use.html#how-to-use","theory.html#theory","sss.html#shamirs-secret-sharing-scheme","appendix.html#appendix","terminology.html#terminology","references.html#references"],"index":{"documentStore":{"docInfo":{"0":{"body":45,"breadcrumbs":2,"title":1},"1":{"body":19,"breadcrumbs":2,"title":1},"10":{"body":107,"breadcrumbs":6,"title":1},"11":{"body":19,"breadcrumbs":5,"title":1},"12":{"body":0,"breadcrumbs":3,"title":1},"13":{"body":2,"breadcrumbs":4,"title":2},"14":{"body":14,"breadcrumbs":2,"title":1},"15":{"body":12,"breadcrumbs":2,"title":1},"16":{"body":239,"breadcrumbs":8,"title":4},"17":{"body":9,"breadcrumbs":2,"title":1},"18":{"body":201,"breadcrumbs":3,"title":1},"19":{"body":26,"breadcrumbs":4,"title":1},"2":{"body":83,"breadcrumbs":5,"title":3},"3":{"body":43,"breadcrumbs":3,"title":1},"4":{"body":65,"breadcrumbs":4,"title":2},"5":{"body":134,"breadcrumbs":4,"title":2},"6":{"body":63,"breadcrumbs":5,"title":3},"7":{"body":15,"breadcrumbs":5,"title":2},"8":{"body":30,"breadcrumbs":8,"title":3},"9":{"body":81,"breadcrumbs":7,"title":2}},"docs":{"0":{"body":"RLN (Rate-Limiting Nullifier) is a zk-gadget/protocol that enables spam prevention mechanism for anonymous environments. RLN is part of ( PSE ) Privacy & Scaling Explorations , a multidisciplinary team supported by the Ethereum Foundation. PSE explores new use cases for zero-knowledge proofs and other cryptographic primitives. alt text RLN team is working on the protocol (having the same name), implementations and different applications of it.","breadcrumbs":"RLN » RLN","id":"0","title":"RLN"},"1":{"body":"This section is a starting point for understanding the concepts of RLN . Here we'll discuss: Basic explanation of the RLN protocol RLN protocol under the hood RLN uses","breadcrumbs":"Overview » Overview","id":"1","title":"Overview"},"10":{"body":"flowchart TB subgraph Generate Secret Key random0(Random 32 bytes) --&gt; a_0(Secret Key) random1(Random 32 bytes) --&gt; a_0 end subgraph RLN subgraph Identity Commitment a_0 --&gt; h0(Poseidon Hash) h0 --&gt; q(Identity Commitment) end subgraph Calculate Internal Nullifier a_0 --&gt; h1(Poseidon Hash) epoch(Epoch) --&gt; h1 h1 --&gt; a_1 rln_identifier(RLN Identifier) --&gt; h2(Poseidon Hash) a_1 --&gt; h2 h2 --&gt; nullifier(RLN Internal Nullifier) end subgraph Merkle Tree q --&gt; merkle_tree_inclusion_proof(Merkle Tree Inclusion Proof) merkle_tree_inclusion_proof --&gt; root(ZKP of Merkle Tree Root) end subgraph Shamirs Secret Scheme a_0 --&gt; plus(+) a_1 --&gt; multiply(*) x(Hashed Messaage) --&gt; multiply multiply --&gt; plus plus --&gt; share_y end nullifier --&gt; proof(ZKP) root --&gt; proof share_y --&gt; proof end","breadcrumbs":"Overview » Under the hood » Protocol spec » Diagram","id":"10","title":"Diagram"},"11":{"body":"zkSNARK is used in the RLN core. Therefore, we need to represent the protocol in R1CS (as we use Groth16). Circom DSL was chosen for this. This section provides an explanation of RLN circuits.","breadcrumbs":"Overview » Under the hood » Circuits » Circuits","id":"11","title":"Circuits"},"12":{"body":"","breadcrumbs":"Overview » Uses » Uses","id":"12","title":"Uses"},"13":{"body":"https://github.com/njofce/zk-chat","breadcrumbs":"Overview » Uses » zk-chat","id":"13","title":"zk-chat"},"14":{"body":"This section provides information on how to use RLN in your project: JavaScript RLN (for rln-js ) Rust RLN (for zerokit-rln )","breadcrumbs":"How to use » How to use","id":"14","title":"How to use"},"15":{"body":"This section provides theoretical information that underpins RLN . Here we'll discuss: Shamir's Secret Sharing","breadcrumbs":"Theory » Theory","id":"15","title":"Theory"},"16":{"body":"Shamirs Secret Sharing allows to split the secret to n parts and restore it upon presentation any m parts (m <= n) Sharmir's Secret Sharing wikipedia is a good reference to understand the concept. Reconstruction 1: https://github.com/akinovak/semaphore-lib/blob/5b9bb3210192c8e508eced7ef6579fd56e635ed0/src/rln.ts#L31 retrievePrivateKey(x1: bigint, x2:bigint, y1:bigint, y2:bigint): Buffer | ArrayBuffer { const slope = Fq.div(Fq.sub(y2, y1), Fq.sub(x2, x1)) const privateKey = Fq.sub(y1, Fq.mul(slope, x1)); return bigintConversion.bigintToBuf(Fq.normalize(privateKey)); } Reconstruction 2: https://github.com/akinovak/semaphore-lib/blob/rln_signature_changes/test/index.ts#L250 async function testRlnSlashingSimulation() { RLN.setHasher('poseidon'); const identity = RLN.genIdentity(); const privateKey = identity.keypair.privKey; const leafIndex = 3; const idCommitments: Array<any> = []; for (let i=0; i<leafIndex;i++) { const tmpIdentity = OrdinarySemaphore.genIdentity(); const tmpCommitment: any = RLN.genIdentityCommitment(identity.keypair.privKey); idCommitments.push(tmpCommitment); } idCommitments.push(RLN.genIdentityCommitment(privateKey)) const signal = 'hey hey'; const x1: bigint = OrdinarySemaphore.genSignalHash(signal); const epoch: string = OrdinarySemaphore.genExternalNullifier('test-epoch'); const vkeyPath: string = path.join('./rln-zkeyFiles', 'verification_key.json'); const vKey = JSON.parse(fs.readFileSync(vkeyPath, 'utf-8')); const wasmFilePath: string = path.join('./rln-zkeyFiles', 'rln.wasm'); const finalZkeyPath: string = path.join('./rln-zkeyFiles', 'rln_final.zkey'); const witnessData: IWitnessData = await RLN.genProofFromIdentityCommitments(privateKey, epoch, signal, wasmFilePath, finalZkeyPath, idCommitments, 15, BigInt(0), 2); const a1 = RLN.calculateA1(privateKey, epoch); const y1 = RLN.calculateY(a1, privateKey, x1); const nullifier = RLN.genNullifier(a1); const pubSignals = [y1, witnessData.root, nullifier, x1, epoch]; let res = await RLN.verifyProof(vKey, { proof: witnessData.fullProof.proof, publicSignals: pubSignals }) if (res === true) { console.log(\"Verification OK\"); } else { console.log(\"Invalid proof\"); return; } const signalSpam = \"let's try spamming\"; const x2: bigint = OrdinarySemaphore.genSignalHash(signalSpam); const witnessDataSpam: IWitnessData = await RLN.genProofFromIdentityCommitments(privateKey, epoch, signalSpam, wasmFilePath, finalZkeyPath, idCommitments, 15, BigInt(0), 2); const a1Spam = RLN.calculateA1(privateKey, epoch); const y2 = RLN.calculateY(a1Spam, privateKey, x2); const nullifierSpam = RLN.genNullifier(a1Spam); const pubSignalsSpam = [y2, witnessDataSpam.root, nullifierSpam, x2, epoch]; res = await RLN.verifyProof(vKey, { proof: witnessDataSpam.fullProof.proof, publicSignals: pubSignalsSpam }) if (res === true) { console.log(\"Spam proof Verification OK\"); } else { console.log(\"Invalid proof\"); return; } const identitySecret = RLN.calculateIdentitySecret(privateKey); const retreivedPkey = bigintConversion.bufToBigint(RLN.retrievePrivateKey(x1, x2, y1, y2)); if(Fq.eq(identitySecret, retreivedPkey)) { console.log(\"PK successfully reconstructed\"); } else { console.log(\"Error while reconstructing private key\") } // TODO: Add removal from tree example\n}","breadcrumbs":"Theory » Shamir's Secret Sharing » Shamir's Secret Sharing Scheme","id":"16","title":"Shamir's Secret Sharing Scheme"},"17":{"body":"The following sections contain reference material you may find useful: Terminology References","breadcrumbs":"Appendix » Appendix","id":"17","title":"Appendix"},"18":{"body":"Term Description zkSNARK Proof construction where one can prove possession of certain information, e.g. a secret key, without revealing that information, and without any interaction between the prover and verifier. Stake Financial or social stake required for registering in the RLN applications. Common stake examples are: locking cryptocurrency (financial), linking reputable social identity. Identity secret An array of two unique random components (identity nullifier and identity trapdoor), which must be kept private by the user. Secret hash and identity commitment are derived from this array. Identity nullifier Random 32 byte value used as component for identity secret generation. Identity trapdoor Random 32 byte value used as component for identity secret generation. Identity secret hash The hash of the identity secret, obtained using the Poseidon hash function. It is used for deriving the identity commitment of the user, and as a private input for zk proof generation. The secret hash should be kept private by the user. Identity commitment Hash obtained from the Identity secret hash by using the poseidon hash function. It is used by the users for registering in the protocol. Signal The message generated by a user. It is an arbitrary bit string that may represent a chat message, a URL request, protobuf message, etc. Signal hash Keccak hash of the signal, used as an input in the RLN circuit. RLN Identifier Random finite field value unique per RLN app. It is used for additional cross-application security. The role of the RLN identifier is protection of the user secrets being compromised if signals are being generated with the same credentials at different apps. RLN membership tree Merkle tree data structure, filled with identity commitments of the users. Serves as a data structure that ensures user registrations. Merkle proof Proof that a user is member of the RLN membership tree.","breadcrumbs":"Appendix » A - Terminology » Terminology","id":"18","title":"Terminology"},"19":{"body":"First Proposal/Idea of RLN by Barry WhiteHat RLN Overview by Blagoj Demo RLN Spec VAC RLN Spec Understand zkSNARK Circom Docs rln-js zerokit-rln Incremental Merkle Tree paper","breadcrumbs":"Appendix » B - References » References","id":"19","title":"References"},"2":{"body":"This topic is a part of complete overview by Blagoj . RLN is a construct based on zero-knowledge proofs that enables spam prevention mechanism for decentralized, anonymous environments. In anonymous environments, the identity of the entities is unknown. The anonymity property opens up the possibility for spam attack and sybil attack vectors for certain applications, which could seriously degrade the user experience and the overall functioning of the application. For example, imagine a chat application, where users are anonymous. Now, everyone can write unlimited number of spam messages, while we don't have ability to kick this member, because the spammer is anonymous. RLN helps us identify and \"kick\" the spammer. Moreover RLN can be useful not only to prevent a spam attacks, but in general, to limit users (in anonymous environments) in the number of actions (f.e. to vote or to make a bid).","breadcrumbs":"Overview » What is RLN » What is Rate-Limiting Nullifier?","id":"2","title":"What is Rate-Limiting Nullifier?"},"3":{"body":"The RLN construct’s functionality consists of three parts, which when integrated together provide spam and sybil attack protection. These parts should be integrated by the upstream applications which require anonymity and spam protection. The applications can be centralized or decentralized. For decentralized applications, each user maintains a separate storage and compute resources for the application. The three parts are: User registration User interaction User removal (slashing)","breadcrumbs":"Overview » What is RLN » How it works","id":"3","title":"How it works"},"4":{"body":"Before registering to the application the user needs to generate a secret key and derive an identity commitment from the secret key using the Poseidon hash function identityCommitment = posseidonHash(secretKey). The user registers to the application by providing a form of stake and their identity commitment, which is derived from the secret key. The application maintains a Merkle tree data structure (in the latest iteration of the RLN construct we use the Incremental Merkle Tree algorithm), which stores the identity commitments of the registered users. Upon successful registration the user’s identity commitment is stored in a leaf of the Merkle tree and an index is given to them, representing their position in the tree.","breadcrumbs":"Overview » What is RLN » User registration","id":"4","title":"User registration"},"5":{"body":"For each interaction that the user wants to make with the application, the user must generate a zero-knowledge proof which ensures the other participants (the verifiers) that they are a valid member of the application and their identity commitment is part of the membership Merkle tree. The interactions are app specific, such as voting for voting application and message sending for chat applications. The verifier is usually a server for centralized applications, or the other users for decentralized applications. So, as it's been said there is a problem with spam, therefore we introduced an \"anti-spam rule\". The rule is usually in the form of: Users must not make more than X interactions per epoch. The epoch can be translated as time interval of Y units of time unit Z. For simplicity sake, let’s transform the rule into: Users must not send more than 1 message per second. We can implement this using Shamir's Secret Sharing scheme ( read more ), which allows you to split a secret (f.e. to n parts) and recover it when any m of n parts (m <= n) are presented. Thus, users have to split their secret_key into n parts and for every interaction they have to reveal the new part of the secret_key. So, in addition to proving the membership in the Merkle Tree, users have to prove that the revealed part is truly the part of their secret_key. If they make more interactions than allowed per epoch their secret key can be fully reconstructed.","breadcrumbs":"Overview » What is RLN » User interaction","id":"5","title":"User interaction"},"6":{"body":"The final property of the RLN mechanism is that it allows for the users to be removed from the membership tree by anyone that knows their secret key. The membership tree contains the identity commitments of all registered users. User’s identity commitment is derived from their secret key, and the secret key of the user is only revealed in a spam event (except for the scenarios where the original users wants to remove themselves, which they can always do because they know their secret key). When an economic stake is present, the RLN mechanism can be implemented in a way that the spammer’s stake is sent to the first user that correctly reports the spammer by providing the reconstructed secret key of the spammer as a proof.","breadcrumbs":"Overview » What is RLN » User removal (slashing)","id":"6","title":"User removal (slashing)"},"7":{"body":"This section provides deep and technical RLN overview. We'll discuss: Technical side of RLN (specification demo) How circuits are implemented","breadcrumbs":"Overview » Under the hood » Under the hood","id":"7","title":"Under the hood"},"8":{"body":"This topic is a less strict version of specifications. If you want more formal description, you can find specs in the references As it's been said RLN consists of three parts: User registration User interaction (signalling) User removal (slashing) - additional part Well, let's discuss them.","breadcrumbs":"Overview » Under the hood » Protocol spec » Technical side of RLN","id":"8","title":"Technical side of RLN"},"9":{"body":"First part of RLN is registration. There is nothing special in RLN registration; it's almost the same process as in other protocols/apps with anonymous environments: we need to create Merkle Tree and every participant must submit the commitment and place it in the Merkle Tree, and after that to interact with the app every participant will create zkProof's, that she is a member of the tree . We'll use Incremental Merkle Tree , as it more GAS-effective . The slight difference is that we must enable secret sharing scheme (to split the commitment into parts). Thus, generation of the commitment is different. Each member randomly generate secret key, that is denoted by a_0. Identity commitment q is the hash (Poseidon) of the secret key: q = Poseidon(a_0). 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