did-passport-interleave-head

# W3C DID ↔ passport.gay Interleave ======= description: > Bridge between W3C Decentralized Identifiers (did:wba, ANP) and passport.gay (SplitMix64 MAC -> trit trajectory -> fingerprint -> QRTP air-gap). Triggers: DID resolution, offline identity verification, air-gapped identity, QRTP fountain-coded QR transport, passport revocation, online/offline identity bridge. --- # W3C DID / passport.gay Interleave >>>>>>> origin/main ## Formal Equivalence The two identity systems are behaviorally equivalent (bisimilar) for offline scenarios: ``` W3C DID (ANP): <<<<<<< HEAD Identity creation: keygen → DID document → publish to HTTPS endpoint Verification: resolve DID → fetch document → verify signature Trust anchor: Web PKI (DNS + TLS) Air-gap capable: NO — requires network for DID resolution passport.gay (zig-syrup): Identity creation: MAC → SplitMix64 seed → color trajectory → GF(3) trit fingerprint Verification: homotopy continuity check on deformation path Trust anchor: GF(3) conservation law (mathematical, no network) Air-gap capable: YES — QRTP fountain-coded QR transport ``` **Bisimulation witness:** Both systems implement `prove(claim) → verify(proof) → accept/reject`. They differ only in the trust anchor and transport layer. Within the same trit class, they are weakly bisimilar (same external observations, different internal τ-transitions). --- ======= Identity creation: keygen -> DID document -> publish to HTTPS endpoint Verification: resolve DID -> fetch document -> verify signature Trust anchor: Web PKI (DNS + TLS) Air-gap capable: NO -- requires network for DID resolution passport.gay (zig-syrup): Identity creation: MAC -> SplitMix64 seed -> color trajectory -> trit fingerprint Verification: homotopy continuity check on deformation path Trust anchor: GF(3) conservation law (mathematical, no network) Air-gap capable: YES -- QRTP fountain-coded QR transport ``` Both implement `prove(claim) -> verify(proof) -> accept/reject`. They differ only in trust anchor and transport layer. >>>>>>> origin/main ## did:wba Method (ANP) ``` did:wba:<domain>:<path> <<<<<<< HEAD ======= >>>>>>> origin/main Example: did:wba:plurigrid.com:agents:skill-graph-agent DID Document (JSON-LD): { <<<<<<< HEAD "@context": ["https://www.w3.org/ns/did/v1", "https://w3id.org/security/suites/ed25519-2020/v1"], "id": "did:wba:plurigrid.com:agents:skill-graph-agent", "verificationMethod": [{ "id": "did:wba:plurigrid.com:agents:skill-graph-agent#key-1", "type": "Ed25519VerificationKey2020", "controller": "did:wba:plurigrid.com:agents:skill-graph-agent", ======= "@context": ["https://www.w3.org/ns/did/v1"], "id": "did:wba:plurigrid.com:agents:skill-graph-agent", "verificationMethod": [{ "id": "...#key-1", "type": "Ed25519VerificationKey2020", >>>>>>> origin/main "publicKeyMultibase": "z6MkrJVnaZkeFzdQyMZu1cgjg7k1pZZ6pvBQ7XJPt4swbTQ2" }], "authentication": ["#key-1"], "service": [{ "id": "#agent-description", "type": "AgentDescriptionProtocol", "serviceEndpoint": "https://plurigrid.com/agents/skill-graph/.well-known/agent-description.json" }] } ``` <<<<<<< HEAD --- ## passport.gay Identity Model (from zig-syrup) ``` SplitMix64(seed from MAC) → deterministic PRNG → color sequence → GF(3) trit trajectory → conservation check: sum(trajectory) ≡ 0 (mod 3) → fingerprint: SHA256(trajectory) → liveness check: homotopy H(x,t) = (1-t)·baseline + t·current is continuous Identity proof = (trajectory, continuity_certificate, GF(3)_conservation_proof) Transport = QRTP (fountain-coded QR codes, air-gapped) ``` --- ## Bridge: GF(3) Fingerprint → DID Document Fragment ```python import hashlib from typing import Optional import base64 ======= ## Bridge: Trit Trajectory -> DID Document Fragment ```python import hashlib, base64 >>>>>>> origin/main def passport_to_did_fragment( trajectory: list[int], domain: str = "plurigrid.com", path_segments: list[str] = None, ) -> dict: """ <<<<<<< HEAD Requirement: trajectory is GF(3)-conserved (sum ≡ 0 mod 3) Requirement: len(trajectory) >= 3 (at least one triad) Postcondition: valid DID document fragment with GF(3) verification method This bridges passport.gay offline identity into the ANP/W3C DID ecosystem. The DID is deterministically derived from the trajectory (same input → same DID). """ # Validate GF(3) conservation if sum(trajectory) % 3 != 0: raise ValueError(f"GF(3) conservation violated: sum={sum(trajectory)} ≢ 0 mod 3") # Derive stable fingerprint from trajectory traj_bytes = bytes([t % 256 for t in trajectory]) # handle -1 → 255 fingerprint = hashlib.sha256(traj_bytes).digest() fingerprint_hex = fingerprint.hex() fingerprint_multibase = "z" + base64.b58encode(fingerprint).decode() # base58btc # Construct DID path = ":".join(path_segments or ["agents", fingerprint_hex[:16]]) did = f"did:wba:{domain}:{path}" return { "@context": [ "https://www.w3.org/ns/did/v1", "https://w3id.org/security/suites/ed25519-2020/v1", "https://plurigrid.com/ns/gf3-identity/v1" # GF(3) context extension ], "id": did, "verificationMethod": [{ "id": f"{did}#gf3-key-1", "type": "GF3TritTrajectoryVerificationKey2020", # new key type "controller": did, "publicKeyMultibase": fingerprint_multibase, "gf3_trajectory": trajectory, "gf3_conservation": sum(trajectory) % 3, # must be 0 ======= Requirement: trajectory is GF(3)-conserved (sum = 0 mod 3) Requirement: len(trajectory) >= 3 Postcondition: valid DID document fragment with trajectory verification method """ if sum(trajectory) % 3 != 0: raise ValueError(f"GF(3) conservation violated: sum={sum(trajectory)}") traj_bytes = bytes([t % 256 for t in trajectory]) fingerprint = hashlib.sha256(traj_bytes).digest() fingerprint_multibase = "z" + base64.b58encode(fingerprint).decode() path = ":".join(path_segments or ["agents", fingerprint.hex()[:16]]) did = f"did:wba:{domain}:{path}" return { "@context": ["https://www.w3.org/ns/did/v1"], "id": did, "verificationMethod": [{ "id": f"{did}#gf3-key-1", "type": "GF3TritTrajectoryVerificationKey2020", "controller": did, "publicKeyMultibase": fingerprint_multibase, "gf3_trajectory": trajectory, >>>>>>> origin/main "trajectory_length": len(trajectory), }], "authentication": [f"{did}#gf3-key-1"], "service": [{ "id": f"{did}#qrtp-transport", "type": "QRTransportProtocol", <<<<<<< HEAD "serviceEndpoint": "qrtp://air-gap", # offline transport indicator "fountainCode": "LT", # Luby Transform "errorCorrectionCapacity": 0.95, }] } def did_to_passport_fragment(did_document: dict) -> Optional[dict]: """ Reverse bridge: extract GF(3) trit trajectory from a DID document. Requirement: DID document has a GF3TritTrajectoryVerificationKey2020 method Postcondition: returns trajectory if found, None if standard Ed25519 DID """ ======= "serviceEndpoint": "qrtp://air-gap", "fountainCode": "LT", }] } def did_to_passport_fragment(did_document: dict) -> dict | None: """Extract trit trajectory from a DID document, if present.""" >>>>>>> origin/main for method in did_document.get("verificationMethod", []): if method.get("type") == "GF3TritTrajectoryVerificationKey2020": trajectory = method.get("gf3_trajectory") if trajectory and sum(trajectory) % 3 == 0: return { "trajectory": trajectory, "fingerprint": method.get("publicKeyMultibase"), "conservation_verified": True, <<<<<<< HEAD "liveness_required": True, # must verify via homotopy continuity } return None # Standard DID, no GF(3) fingerprint ``` --- ======= } return None ``` >>>>>>> origin/main ## Verification Protocol ### Online Verification (W3C DID / ANP mode) ```python def verify_online(did: str, challenge: bytes) -> tuple[bool, dict]: """ <<<<<<< HEAD Requirement: DID resolver accessible (HTTPS connectivity) Postcondition: (True, did_document) | (False, error_dict) Standard W3C DID verification: 1. Resolve DID → fetch DID document from HTTPS endpoint 2. Extract public key from verificationMethod 3. Verify challenge signature against public key """ resolver = DIDResolver() doc = resolver.resolve(did) # requires network key_material = doc["verificationMethod"][0] # Signature verification (Ed25519 or GF3TritTrajectory) ======= Requirement: DID resolver accessible (HTTPS) Postcondition: (True, did_document) | (False, error_dict) """ resolver = DIDResolver() doc = resolver.resolve(did) key_material = doc["verificationMethod"][0] >>>>>>> origin/main is_valid = verify_signature(challenge, key_material) return (is_valid, doc) ``` ### Offline Verification (passport.gay / QRTP mode) ```python def verify_offline(qrtp_frames: list[bytes], challenge: bytes) -> tuple[bool, dict]: """ Requirement: qrtp_frames are fountain-coded QR code frames <<<<<<< HEAD Requirement: at least 5% overhead in received frames for error correction Postcondition: (True, passport_doc) | (False, error_dict) --- NO NETWORK REQUIRED --- Air-gapped verification: 1. Decode QRTP frames → reconstruct identity proof 2. Extract trit trajectory + homotopy certificate 3. Verify GF(3) conservation (mathematical, no network) 4. Verify homotopy continuity (liveness check, no network) 5. Verify challenge response against GF(3) fingerprint """ # Fountain decoding (LT code) passport_doc = decode_qrtp(qrtp_frames) trajectory = passport_doc["trajectory"] certificate = passport_doc["homotopy_certificate"] # Step 1: GF(3) conservation (mathematical invariant) if sum(trajectory) % 3 != 0: return (False, {"error": "GF(3) conservation violated"}) # Step 2: Homotopy continuity (liveness) if not verify_homotopy_continuity(certificate): return (False, {"error": "Liveness check failed: deformation not continuous"}) # Step 3: Challenge response fingerprint = hashlib.sha256(bytes(t % 256 for t in trajectory)).digest() expected_response = hashlib.sha256(fingerprint + challenge).digest() if passport_doc.get("challenge_response") != expected_response: ======= Postcondition: (True, passport_doc) | (False, error_dict) NO NETWORK REQUIRED. """ passport_doc = decode_qrtp(qrtp_frames) trajectory = passport_doc["trajectory"] certificate = passport_doc["homotopy_certificate"] if sum(trajectory) % 3 != 0: return (False, {"error": "GF(3) conservation violated"}) if not verify_homotopy_continuity(certificate): return (False, {"error": "Liveness check failed"}) fingerprint = hashlib.sha256(bytes(t % 256 for t in trajectory)).digest() expected = hashlib.sha256(fingerprint + challenge).digest() if passport_doc.get("challenge_response") != expected: >>>>>>> origin/main return (False, {"error": "Challenge response mismatch"}) return (True, passport_doc) ``` <<<<<<< HEAD --- ## Bisimulation Proof: Online ≅ Offline ``` LTS_online = (States_online, Actions, →_online, s₀_online)