Triple-Helix™ Quantum Proof System

White Paper v3.7 — Internal Draft

Abstract

Triple-Helix combines BLS12-381 elliptic curve pairings with Groth16 zero-knowledge SNARKs to create quantum-resistant document proofs. Each document is hashed through a Merkle tree of depth 32, producing a 256-byte proof that can be verified in O(log n) time.

Mathematical Foundation

Given: document D, salt S from hardware QRNG
1. h = Poseidon(D || S)           // ZK-friendly hash
2. π = Groth16.Prove(circuit, h)  // SNARK proof
3. anchor = BLS12-381.Sign(sk, π) // Quantum-resistant signature
4. Store(anchor) on         // 400ms finality

Verification: Groth16.Verify(vk, π, h) ∧ BLS12-381.Verify(pk, anchor, π)

Security Parameters

• Curve: BLS12-381 (128-bit security)
• Proof system: Groth16 (3 group elements, ~200 bytes)
• Hash: Poseidon over BN254 (ZK-optimized)
• Circuit size: 2^20 constraints

DECOY-TRIPLE-HELIX-FALSE-v1