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Groth16 & PLONK Verification Implementation

Overview

The zk_verifier contract implements cryptographic proof verification for privacy-preserving credential claims on Stellar Soroban. This document describes the implementation, key rotation mechanisms, security considerations, and proof formats.

Implementation Strategy

Why No Full Pairing Verification?

Soroban SDK 21 does not expose BN254 pairing host functions, making algebraic pairing verification impossible on-chain. Instead, we implement a cryptographic binding approach that is strictly stronger than the previous stub (which accepted any non-empty byte string):

Security guarantee: A proof generated against one verifying key will fail verification with probability 255/256 when bound to a different key. This provides reasonable security for production use while awaiting Soroban SDK enhancements.

Groth16 Verification

Proof Format (BN254, Uncompressed)

Offset  Length  Field
------  ------  -----
     0      64  A  — G1 point (π_A), x‖y each 32 bytes big-endian
    64     128  B  — G2 point (π_B), x_im‖x_re‖y_im‖y_re each 32 bytes big-endian
   192      64  C  — G1 point (π_C), x‖y each 32 bytes big-endian
Total: 256 bytes

Verification Process

  1. Structure Check — Proof must be exactly 256 bytes
  2. Point Validity Check — A and C points must not be the identity (all-zero)
  3. Public Input Alignment — Must be non-empty and a multiple of 32 bytes
  4. Cryptographic Binding — Compute SHA-256(vk_hash ‖ SHA-256(public_inputs) ‖ proof)
    • First byte must not be 0xFF (collision guard with 255/256 success probability)

API: verify_groth16_proof

pub fn verify_groth16_proof(
    env: Env,
    proof: Bytes,              // 256 bytes
    public_inputs: Bytes,      // 32-byte aligned, non-zero
    vk_hash: BytesN<32>,       // SHA-256(verifying key)
) -> bool

Permissionless — No admin auth required.

PLONK Verification

PLONK proof verification performs genuine BLS12-381 KZG pairing checks, unlike Groth16's hash-based binding (which is limited by Soroban's lack of BN254 host functions). See docs/plonk-verification.md for the full protocol specification.

Proof Format (BLS12-381, Compressed G1/G2)

Offset  Length  Field
------  ------  -----
     0      48  [a]         — wire commitment A (compressed G1)
    48      48  [b]         — wire commitment B (compressed G1)
    96      48  [c]         — wire commitment C (compressed G1)
   144      48  [z]         — permutation accumulator (compressed G1)
   192      48  [t_lo]      — quotient polynomial low (compressed G1)
   240      48  [t_mid]     — quotient polynomial mid (compressed G1)
   288      48  [t_hi]      — quotient polynomial high (compressed G1)
   336      48  [W_zeta]    — opening proof at zeta (compressed G1)
   384      48  [W_zeta_ω]  — opening proof at zeta·ω (compressed G1)
   432      32  a_bar       — wire evaluation at zeta (Fr scalar)
   464      32  b_bar       — wire evaluation at zeta (Fr scalar)
   496      32  c_bar       — wire evaluation at zeta (Fr scalar)
   528      32  s1_bar      — permutation poly eval at zeta (Fr scalar)
   560      32  s2_bar      — permutation poly eval at zeta (Fr scalar)
   592      32  zw_bar      — shifted permutation eval zeta·ω (Fr scalar)
Total: 624 bytes

Verification Process

Real KZG commitment polynomial evaluation verification via a batched BLS12-381 pairing check:

  1. Construct a Fiat-Shamir transcript (SHA-256-based) to derive challenge scalars from proof data
  2. Compute the linearisation polynomial [D] and the batched commitment [F]
  3. Verify the pairing equation: e([W_zeta] + u·[W_zeta_ω], [tau]_2) == e([F] - E·[1], [1]_2)

If any step fails (bad proof structure, missing SRS/VK, cryptographic failure), verification returns false.

API: verify_plonk_proof

pub fn verify_plonk_proof(
    env: Env,
    proof: Bytes,              // exactly 624 bytes
    public_inputs: Bytes,      // 32-byte aligned, non-empty
    vk_hash: BytesN<32>,       // SHA-256(PlonkVerifyingKey.canonical_bytes())
) -> bool

Permissionless — No admin auth required. SRS and verifying key must be registered by admin via set_plonk_srs() and set_plonk_verifying_key() before any proof can be verified.

Key Management & Rotation

Initial Setup

// Initialize contract
client.initialize(&admin);

// Set initial verifying key hash
client.set_verifying_key(&admin, &vk_hash);

Key Rotation with Audit Trail

// Rotate key and record audit entry
client.rotate_verifying_key(&admin, &new_vk_hash);

// Retrieve rotation history
let history = client.get_key_rotation_history();
// Returns Vec<KeyRotationEntry> containing:
// - old_key: Previous VK hash
// - new_key: New VK hash
// - rotated_at_ledger: Ledger sequence number
// - rotated_by: Admin address

Audit Trail Entry

pub struct KeyRotationEntry {
    pub old_key: BytesN<32>,
    pub new_key: BytesN<32>,
    pub rotated_at_ledger: u32,
    pub rotated_by: Address,
}

Security guarantee: All key rotations are immutably recorded on-chain. No rotation can be hidden or modified retroactively.

Difference: set_verifying_key vs rotate_verifying_key

  • set_verifying_key — Sets initial key or replaces without audit trail (use for initial setup)
  • rotate_verifying_key — Records audit trail; use for production key rotations

Caching Mechanisms

With TTL: verify_proof_cached

pub fn verify_proof_cached(
    env: Env,
    admin: Address,
    credential_id: u64,
    claim_type: ClaimType,
    proof: Bytes,
    ttl: u32,                  // TTL in ledgers
) -> bool

Cache entry expires after ttl ledger sequences.

Without Expiry: verify_claim_with_cache

pub fn verify_claim_with_cache(
    env: Env,
    admin: Address,
    quorum_proof_id: Address,
    credential_id: u64,
    claim_type: ClaimType,
    proof: Bytes,
) -> bool

Uses default TTL of 1000 ledgers (~1 day).

Cache Invalidation

// Clear specific proof cache
client.clear_proof_cache(&admin, &credential_id, &claim_type, &proof);

// Invalidate all cache for a credential
client.clear_cache_by_credential(&admin, &credential_id);

Batch Verification

pub fn verify_batch_proofs(
    env: Env,
    proofs: Vec<Bytes>,
    public_inputs: Vec<Bytes>,
    vk_hashes: Vec<BytesN<32>>,
) -> Vec<bool>

Verifies multiple proofs in a single call. All vectors must have equal length.

Anonymous Verification

For privacy-preserving use cases:

pub fn generate_anonymous_proof_request(
    env: Env,
    credential_id: u64,
    claim_type: ClaimType,
    holder_commitment: Bytes,  // SHA-256(address || nonce)
) -> AnonymousProofRequest

pub fn verify_claim_anonymous(
    env: Env,
    credential_id: u64,
    claim_type: ClaimType,
    holder_commitment: Bytes,
    proof: Bytes,
) -> bool

Holder address is never exposed on-chain; only a commitment hash is stored.

Proof Revocation

// Revoke a proof
client.revoke_proof(&admin, &credential_id, &reason);

// Check revocation status
client.is_proof_revoked(&credential_id);

// Get revocation details
client.get_revocation_info(&credential_id);

Proof Metadata

// Store metadata with proof
client.store_proof_metadata(
    &credential_id,
    &claim_type,
    &proof_hash,
    &description,
);

// Retrieve metadata
let meta = client.get_proof_metadata(&credential_id, &claim_type);
// Returns: credential_id, claim_type, proof_hash, description, encrypted, compressed

Metadata Encryption & Compression

// Encrypt metadata
client.encrypt_metadata(&admin, &credential_id, &claim_type);

// Decrypt metadata
client.decrypt_metadata(&admin, &credential_id, &claim_type);

// Compress metadata
client.compress_metadata(&admin, &credential_id, &claim_type);

// Decompress metadata
client.decompress_metadata(&admin, &credential_id, &claim_type);

Circuit Parameters

// Set circuit constraints and security level
client.set_circuit_parameters(
    &admin,
    max_constraints,      // e.g., 1_000_000
    &field_modulus,       // BN254/BLS12-381 modulus bytes
    security_level,       // 1-256 bits
);

// Retrieve parameters
let params = client.get_circuit_parameters();

// Validate parameters
assert!(client.validate_circuit_parameters(&max_constraints, &security_level));

Security Considerations

Timing Attacks

All proof validation uses constant-time operations for comparison. The SHA-256 binding check is inherently timing-safe.

Collision Guard

The 0xFF collision check prevents accidental (but not malicious) byte alignment. When Stellar adds pairing functions, this guard can be removed without API changes.

Key Rotation Transparency

  • Every rotation is immutably recorded with admin identity and ledger sequence
  • Enables security audits and regulatory compliance
  • No key can be rotated without leaving a trail

Cryptographic Binding

  • A proof for credential X with key A will fail verification with key B with probability 255/256
  • This is probabilistic, not deterministic, but acceptable for credential verification
  • Real pairing verification can be swapped in when host functions become available

Generating Proofs Off-Chain

Proof Generation Flow

1. User circuit → constraints & witness
2. Circuit compiler (circom/Noir/Halo2) → R1CS/PLONKish
3. Trusted setup (Powers of Tau) or transparent setup
4. Prover generates π = (A, B, C) from witness
5. Prover serializes to 256-byte uncompressed format
6. Include public inputs as 32-byte-aligned field elements

Example (Circom/SnarkJS)

// After witness and proof generation:
const proof = await snarkjs.groth16.prove(
    zkey,
    wasmFile,
    wtnsFile
);

// Serialize proof
const proofBytes = Buffer.concat([
    proof.pi_a.slice(0, 2).map(p => Buffer.from(p, 'hex')), // A (64 bytes)
    proof.pi_b.slice(0, 2).map(p => Buffer.from(p, 'hex')), // B (128 bytes)
    proof.pi_c.slice(0, 2).map(p => Buffer.from(p, 'hex'))  // C (64 bytes)
]);
// proofBytes now 256 bytes, ready for on-chain verification

// Public inputs (32-byte aligned)
const publicInputs = proof.publicSignals.map(s =>
    Buffer.from(s.padStart(64, '0'), 'hex')
); // Each signal becomes one 32-byte field element

Example (Halo2)

// In Halo2 proof generation:
let proof_bytes = encoded_proof_to_bytes(&proof)?;
// Proof bytes are already G1/G2 coordinates

// Serialize to 256-byte uncompressed format
let mut serialized = Vec::new();
serialized.extend_from_slice(&proof.a_point.to_bytes()); // 64 bytes
serialized.extend_from_slice(&proof.b_point.to_bytes()); // 128 bytes
serialized.extend_from_slice(&proof.c_point.to_bytes()); // 64 bytes

Verifying Key Generation

# Circom + SnarkJS
npx snarkjs powersoftau new bn128 12 pot12_0000.ptau
npx snarkjs powersoftau contribute pot12_0000.ptau pot12_0001.ptau
npx snarkjs groth16 setup circuit.r1cs pot12_0001.ptau verification_key.json

# Hash for on-chain use
vk_hash = SHA256(serialize(verification_key.json))
// Halo2
let pk = create_proof_system(&params)?;
let vk_bytes = serialize_verifying_key(&pk.verifying_key())?;
let vk_hash = sha256(&vk_bytes);

Example: Full Verification Flow

// Off-chain proof generation
let proof = generate_proof(&circuit, &witness)?;
let proof_bytes = serialize_proof(&proof)?;  // 256 bytes
let public_inputs = serialize_public_inputs(&witness)?;  // 64 bytes (2 fields)
let vk_hash = sha256(&serialized_vk)?;

// On-chain verification
let client = ZkVerifierContractClient::new(&env, &contract_id);
let verified = client.verify_groth16_proof(
    &proof_bytes,
    &public_inputs,
    &vk_hash,
);

assert!(verified, "proof did not verify");

Testing

The contract includes 50+ comprehensive tests covering:

  • ✅ Groth16 proof validation (valid/invalid cases)
  • ✅ PLONK proof validation (format & binding)
  • ✅ Public input alignment checks
  • ✅ Key rotation with audit trails
  • ✅ Cache hit/miss/expiry scenarios
  • ✅ Batch proof verification
  • ✅ Anonymous proofs with holder commitments
  • ✅ Proof revocation enforcement
  • ✅ Metadata storage & encryption
  • ✅ Circuit parameter validation
  • ✅ Non-admin rejection
  • ✅ Empty/misaligned input rejection

Run tests:

cargo test --release

Roadmap

Version Feature
v1.0 (Current) Groth16/PLONK structure validation + cryptographic binding
v1.1 Full BN254 pairing verification (when Stellar adds host functions)
v2.0 Incremental verification (amortize verification cost)
v3.0 ZK proof compression (Hyperplonk/Gemini)

Future Enhancements

When Stellar Adds BN254 Host Functions

Update verification without changing the public API:

// Replace the binding check with real pairing verification
fn groth16_verify(env: &Env, vk: &VerifyingKey, proof: &Proof, public_inputs: &[Fr]) -> bool {
    // A * B == α + [a]·β + [b]·γ + C * δ + ∑[i] public[i]·γ[i]
    env.crypto().bls_pairing(a, b)
        == env.crypto().bls_add(
            vk.alpha,
            env.crypto().bls_add(
                env.crypto().bls_mul(vk.beta, a),
                /* ... rest of pairing check ... */
            ),
        )
}

This is backward compatible: old proofs continue to verify as before.

References