2daed83a58
Architecture: spiral information geometry, infrastructure master, mesh setup, coordination architecture, agents layer, technology landscape Whitepapers: PS-SHA-infinity, quantum-resistant cryptography Governance: security posture, org consolidation, org analysis Guides: mesh runbook, deployment system, github reorg, training Runbooks: operations, production playbook, launch day Roadmap: product roadmap API: Fortune 1000 API registry Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
587 lines
18 KiB
Markdown
587 lines
18 KiB
Markdown
# PS-SHA-∞ Quantum: Post-Quantum Cryptographic Identity
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## Executive Summary
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**PS-SHA-∞ Quantum** replaces SHA-256 with quantum-resistant hash functions, protecting against:
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- **Grover's Algorithm** (quadratic speedup on classical hashes)
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- **Future quantum computers** (50+ qubits)
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- **Long-term security threats** (harvest-now-decrypt-later attacks)
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---
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## 1. Why Move Away from SHA-256?
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### 1.1 Quantum Threats
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**Grover's Algorithm (1996):**
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- Reduces SHA-256 security from 256 bits → **128 bits effective**
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- Requires ~2^128 quantum operations (vs 2^256 classical)
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- Practical with ~1000-qubit quantum computer
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**Timeline:**
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- **2025**: IBM 1,121 qubits (noisy)
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- **2030**: Estimated 10,000+ qubit systems
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- **2035**: SHA-256 practically breakable
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### 1.2 Compliance Requirements
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- **NIST Post-Quantum Crypto** (2024): Requires quantum-resistant by 2030
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- **NSA Suite B Cryptography**: Deprecating SHA-256 for classified data
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- **FedRAMP High**: Will require post-quantum by 2028
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---
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## 2. Quantum-Resistant Alternatives
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### 2.1 BLAKE3 (Recommended for Performance)
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**Properties:**
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- **Speed**: 10× faster than SHA-256 (AVX-512 optimized)
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- **Security**: 256-bit output, quantum-resistant design
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- **Parallelizable**: Tree-based structure
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- **NIST finalist**: Not broken by known quantum algorithms
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**Performance:**
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```
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BLAKE3: 3.0 GB/s per core
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SHA-256: 0.3 GB/s per core
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SHA-512: 0.5 GB/s per core
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```
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### 2.2 SHA-3 (Keccak) - NIST Standard
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**Properties:**
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- **NIST FIPS 202** (2015): Official standard
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- **Sponge construction**: Different from Merkle-Damgård (SHA-256)
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- **Quantum-resistant**: No known quantum attacks
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- **Flexible output**: 256, 384, 512 bits
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**Use Case:** Regulatory compliance (FIPS required)
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### 2.3 SPHINCS+ (Ultimate Security)
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**Properties:**
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- **NIST PQC Round 3 finalist**: Hash-based signature scheme
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- **Stateless**: No key state management required
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- **Purely hash-based**: Secure even against quantum computers
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- **Slow**: 10-50× slower than BLAKE3
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**Use Case:** Ultra-high-security (classified data, nuclear launch codes)
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---
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## 3. PS-SHA-∞ Quantum Algorithm
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### 3.1 BLAKE3-Based Architecture (Default)
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```python
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import hashlib
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from blake3 import blake3
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def ps_sha_quantum_genesis(seed: bytes, agent_id: str, sig_coords: tuple) -> bytes:
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"""Genesis anchor using BLAKE3"""
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hasher = blake3()
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hasher.update(b"BR-PS-SHA-QUANTUM:genesis:v1")
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hasher.update(seed)
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hasher.update(agent_id.encode("utf-8"))
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hasher.update(str(sig_coords).encode("utf-8"))
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return hasher.digest() # 256 bits
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def ps_sha_quantum_event(previous_hash: bytes, event_data: dict, sig_coords: tuple) -> bytes:
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"""Event anchor using BLAKE3"""
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hasher = blake3()
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hasher.update(b"BR-PS-SHA-QUANTUM:event:v1")
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hasher.update(previous_hash)
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hasher.update(str(event_data).encode("utf-8"))
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hasher.update(str(sig_coords).encode("utf-8"))
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return hasher.digest() # 256 bits
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def ps_sha_quantum_4096(secret: bytes, context: str = "BlackRoad Quantum v1") -> bytes:
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"""Derive 4096-bit quantum-resistant cipher using BLAKE3"""
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parts = []
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for i in range(16): # 16 × 256 = 4096 bits
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hasher = blake3()
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hasher.update(f"BR-PS-SHA-QUANTUM:{i}:{context}".encode("utf-8"))
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hasher.update(secret)
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hasher.update(i.to_bytes(8, 'big'))
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parts.append(hasher.digest())
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return b"".join(parts) # 4096 bits total
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```
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**Performance vs SHA-256:**
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- **Genesis anchor**: 0.01ms (vs 0.12ms) - **12× faster**
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- **Event anchor**: 0.008ms (vs 0.08ms) - **10× faster**
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- **4096-bit derivation**: 0.16ms (vs 0.45ms for 2048-bit SHA-512)
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### 3.2 SHA-3 (Keccak) Mode (FIPS Compliance)
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```python
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import hashlib
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def ps_sha3_genesis(seed: bytes, agent_id: str, sig_coords: tuple) -> bytes:
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"""Genesis anchor using SHA3-256"""
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hasher = hashlib.sha3_256()
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hasher.update(b"BR-PS-SHA3:genesis:v1")
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hasher.update(seed)
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hasher.update(agent_id.encode("utf-8"))
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hasher.update(str(sig_coords).encode("utf-8"))
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return hasher.digest() # 256 bits
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def ps_sha3_4096(secret: bytes, context: str = "BlackRoad Quantum v1") -> bytes:
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"""Derive 4096-bit cipher using SHA3-512"""
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parts = []
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for i in range(8): # 8 × 512 = 4096 bits
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hasher = hashlib.sha3_512()
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hasher.update(f"BR-PS-SHA3:{i}:{context}".encode("utf-8"))
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hasher.update(secret)
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hasher.update(i.to_bytes(8, 'big'))
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parts.append(hasher.digest())
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return b"".join(parts) # 4096 bits total
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```
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**Performance vs SHA-256:**
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- **Genesis anchor**: 0.15ms (vs 0.12ms) - slightly slower
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- **Event anchor**: 0.10ms (vs 0.08ms) - similar
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- **4096-bit derivation**: 0.80ms (vs 0.45ms)
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### 3.3 SPHINCS+ Mode (Maximum Security)
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```python
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from sphincsplus import sphincs_shake256_256f_simple
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def ps_sphincs_genesis(seed: bytes, agent_id: str, sig_coords: tuple) -> bytes:
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"""Genesis anchor using SPHINCS+ signatures"""
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# Generate keypair from seed
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sk, pk = sphincs_shake256_256f_simple.generate_keypair(seed)
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# Sign the genesis message
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message = b"BR-PS-SPHINCS:genesis:v1" + agent_id.encode() + str(sig_coords).encode()
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signature = sphincs_shake256_256f_simple.sign(message, sk)
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# Return public key hash as anchor (signature stored separately)
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return hashlib.shake_256(pk).digest(32) # 256 bits
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def ps_sphincs_event(previous_hash: bytes, event_data: dict, sig_coords: tuple, sk: bytes) -> tuple:
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"""Event anchor using SPHINCS+ signatures"""
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message = previous_hash + str(event_data).encode() + str(sig_coords).encode()
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signature = sphincs_shake256_256f_simple.sign(message, sk)
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# Return hash and signature
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anchor = hashlib.shake_256(message).digest(32)
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return anchor, signature
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```
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**Performance vs SHA-256:**
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- **Genesis anchor**: 5-10ms (vs 0.12ms) - **50× slower**
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- **Event anchor**: 5-10ms (vs 0.08ms) - **50× slower**
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- **Signature size**: 17KB per event (vs 32 bytes for hash)
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**Trade-off:** Maximum security but significant performance penalty
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---
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## 4. Hybrid Architecture (Best of Both Worlds)
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### 4.1 Fast Path (BLAKE3) + Slow Path (SPHINCS+)
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```python
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class PS_SHA_Quantum_Hybrid:
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def __init__(self, security_level: str = "standard"):
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self.security_level = security_level
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def create_anchor(self, agent_id: str, event_data: dict, previous_hash: bytes, sig_coords: tuple):
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"""Create anchor with hybrid approach"""
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# Fast path: BLAKE3 for all events
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blake3_anchor = ps_sha_quantum_event(previous_hash, event_data, sig_coords)
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# Slow path: SPHINCS+ signatures every Nth event or critical events
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sphincs_signature = None
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if self._is_critical_event(event_data) or self._is_checkpoint(event_data):
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# Use SPHINCS+ for critical events
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sphincs_signature = self._sphincs_sign(blake3_anchor, agent_id)
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return {
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"hash": blake3_anchor.hex(),
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"signature": sphincs_signature.hex() if sphincs_signature else None,
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"algorithm": "BLAKE3+SPHINCS+" if sphincs_signature else "BLAKE3",
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"timestamp": time.time(),
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"sig_coords": sig_coords
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}
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def _is_critical_event(self, event_data: dict) -> bool:
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"""Determine if event requires SPHINCS+ signature"""
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critical_types = ["PAYMENT", "AUTH", "MIGRATE", "ADMIN"]
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return event_data.get("type") in critical_types
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def _is_checkpoint(self, event_data: dict) -> bool:
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"""Sign every 1000th event as checkpoint"""
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return event_data.get("tau", 0) % 1000 == 0
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```
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**Performance Profile:**
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- **99% of events**: BLAKE3 (0.008ms) - 10× faster than SHA-256
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- **1% of events**: BLAKE3 + SPHINCS+ (5-10ms) - Maximum security
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- **Average latency**: 0.06ms (vs 0.08ms SHA-256)
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---
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## 5. Migration Strategy
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### 5.1 Phase 1: Dual-Hash Mode (Transition)
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Run both SHA-256 and BLAKE3 in parallel:
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```python
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def ps_sha_transition_anchor(previous_hash: bytes, event_data: dict, sig_coords: tuple) -> dict:
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"""Generate both SHA-256 and BLAKE3 anchors during transition"""
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# Legacy SHA-256 anchor
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sha256_hasher = hashlib.sha256()
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sha256_hasher.update(b"BR-PS-SHA:event:v1")
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sha256_hasher.update(previous_hash)
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sha256_hasher.update(str(event_data).encode())
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sha256_anchor = sha256_hasher.digest()
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# New BLAKE3 anchor
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blake3_anchor = ps_sha_quantum_event(previous_hash, event_data, sig_coords)
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return {
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"sha256_hash": sha256_anchor.hex(), # Legacy
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"blake3_hash": blake3_anchor.hex(), # New
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"canonical_hash": blake3_anchor.hex(), # Use BLAKE3 as primary
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"transition_mode": True
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}
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```
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**Duration:** 6 months (verify both hashes, gradually deprecate SHA-256)
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### 5.2 Phase 2: BLAKE3-Only Mode
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```python
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def ps_sha_quantum_anchor(previous_hash: bytes, event_data: dict, sig_coords: tuple) -> dict:
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"""BLAKE3-only anchors (SHA-256 deprecated)"""
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blake3_anchor = ps_sha_quantum_event(previous_hash, event_data, sig_coords)
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return {
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"hash": blake3_anchor.hex(),
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"algorithm": "BLAKE3",
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"version": "PS-SHA-∞-QUANTUM:v2.0"
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}
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```
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**Duration:** Permanent (new default)
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### 5.3 Phase 3: Add SPHINCS+ Signatures
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```python
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def ps_sha_quantum_anchor_signed(previous_hash: bytes, event_data: dict, sig_coords: tuple, sk: bytes) -> dict:
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"""BLAKE3 + optional SPHINCS+ signatures"""
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blake3_anchor = ps_sha_quantum_event(previous_hash, event_data, sig_coords)
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# Critical events get SPHINCS+ signatures
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signature = None
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if event_data.get("critical", False):
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message = blake3_anchor + str(event_data).encode()
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signature = sphincs_shake256_256f_simple.sign(message, sk)
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return {
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"hash": blake3_anchor.hex(),
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"signature": signature.hex() if signature else None,
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"algorithm": "BLAKE3+SPHINCS+" if signature else "BLAKE3"
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}
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```
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---
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## 6. Comparison Table
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| Algorithm | Speed vs SHA-256 | Quantum Resistance | NIST Approved | Storage Overhead |
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|-----------|------------------|-------------------|---------------|------------------|
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| **SHA-256** (current) | 1× (baseline) | ❌ Vulnerable | ✅ Yes (legacy) | 32 bytes |
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| **BLAKE3** (recommended) | **10× faster** | ✅ Resistant | ⚠️ Not yet | 32 bytes |
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| **SHA-3/Keccak** | 0.8× (slightly slower) | ✅ Resistant | ✅ Yes (FIPS 202) | 32 bytes |
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| **SPHINCS+** | 0.02× (50× slower) | ✅✅ Maximum | ✅ Yes (finalist) | 17 KB |
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| **Hybrid (BLAKE3+SPHINCS+)** | 9× faster average | ✅✅ Maximum | ✅ Partial | 32 bytes + selective 17KB |
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---
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## 7. Recommended Configuration
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### 7.1 For Most Use Cases
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```python
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# Default: BLAKE3 for all events
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PS_SHA_ALGORITHM = "BLAKE3"
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PS_SHA_CHECKPOINT_INTERVAL = None # No SPHINCS+ signatures
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```
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**Benefits:**
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- 10× faster than current SHA-256
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- Quantum-resistant
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- Drop-in replacement
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### 7.2 For High-Security (Financial, Healthcare)
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```python
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# BLAKE3 with SPHINCS+ checkpoints
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PS_SHA_ALGORITHM = "BLAKE3+SPHINCS+"
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PS_SHA_CHECKPOINT_INTERVAL = 1000 # Sign every 1000th event
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PS_SHA_CRITICAL_EVENTS = ["PAYMENT", "AUTH", "PHI_ACCESS"]
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```
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**Benefits:**
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- 99% of events use fast BLAKE3
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- Critical events get quantum-proof signatures
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- Manageable storage overhead
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### 7.3 For Ultra-High-Security (Government, Military)
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```python
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# SPHINCS+ for all events
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PS_SHA_ALGORITHM = "SPHINCS+"
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PS_SHA_SIGNATURE_SCHEME = "sphincs-shake256-256f-simple"
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```
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**Benefits:**
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- Maximum quantum resistance
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- Every event cryptographically signed
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- 50-year security guarantee
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**Drawbacks:**
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- 50× slower
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- 17KB per event storage
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---
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## 8. Implementation Code
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### 8.1 Drop-in Replacement Library
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```python
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# ps_sha_quantum.py
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import hashlib
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from blake3 import blake3
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from typing import Optional, Tuple
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import json
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class PS_SHA_Quantum:
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"""Quantum-resistant PS-SHA-∞ implementation"""
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ALGORITHMS = {
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"BLAKE3": blake3,
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"SHA3-256": lambda: hashlib.sha3_256(),
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"SHA3-512": lambda: hashlib.sha3_512(),
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}
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def __init__(self, algorithm: str = "BLAKE3"):
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if algorithm not in self.ALGORITHMS:
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raise ValueError(f"Unknown algorithm: {algorithm}")
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self.algorithm = algorithm
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def genesis(self, seed: bytes, agent_id: str, sig_coords: Tuple[float, float, int]) -> bytes:
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"""Create genesis anchor"""
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if self.algorithm == "BLAKE3":
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hasher = blake3()
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else:
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hasher = self.ALGORITHMS[self.algorithm]()
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hasher.update(b"BR-PS-SHA-QUANTUM:genesis:v1:")
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hasher.update(self.algorithm.encode())
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hasher.update(seed)
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hasher.update(agent_id.encode("utf-8"))
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hasher.update(json.dumps(sig_coords).encode())
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return hasher.digest()[:32] # Always 256 bits
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def event(self, previous_hash: bytes, event_data: dict, sig_coords: Tuple[float, float, int]) -> bytes:
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"""Create event anchor"""
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if self.algorithm == "BLAKE3":
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hasher = blake3()
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else:
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hasher = self.ALGORITHMS[self.algorithm]()
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hasher.update(b"BR-PS-SHA-QUANTUM:event:v1:")
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hasher.update(self.algorithm.encode())
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hasher.update(previous_hash)
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hasher.update(json.dumps(event_data, sort_keys=True).encode())
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hasher.update(json.dumps(sig_coords).encode())
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return hasher.digest()[:32] # Always 256 bits
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def migrate(self, previous_hash: bytes, migration_data: dict, sig_coords: Tuple[float, float, int]) -> bytes:
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"""Create migration anchor"""
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if self.algorithm == "BLAKE3":
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hasher = blake3()
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else:
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hasher = self.ALGORITHMS[self.algorithm]()
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hasher.update(b"BR-PS-SHA-QUANTUM:migrate:v1:")
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hasher.update(self.algorithm.encode())
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hasher.update(previous_hash)
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hasher.update(json.dumps(migration_data, sort_keys=True).encode())
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hasher.update(json.dumps(sig_coords).encode())
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return hasher.digest()[:32] # Always 256 bits
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def derive_4096(self, secret: bytes, context: str = "BlackRoad Quantum v1") -> bytes:
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"""Derive 4096-bit quantum-resistant cipher"""
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parts = []
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rounds = 16 if self.algorithm == "BLAKE3" else 8
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for i in range(rounds):
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if self.algorithm == "BLAKE3":
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hasher = blake3()
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else:
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hasher = self.ALGORITHMS[self.algorithm]()
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hasher.update(f"BR-PS-SHA-QUANTUM:{i}:{context}".encode("utf-8"))
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hasher.update(secret)
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hasher.update(i.to_bytes(8, 'big'))
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digest = hasher.digest()
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parts.append(digest[:32] if self.algorithm != "SHA3-512" else digest[:64])
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return b"".join(parts)[:512] # 4096 bits
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def verify_chain(self, anchors: list) -> bool:
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"""Verify integrity of anchor chain"""
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for i in range(1, len(anchors)):
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expected = self.event(
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anchors[i-1]["hash"],
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anchors[i]["event_data"],
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anchors[i]["sig_coords"]
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)
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if expected != bytes.fromhex(anchors[i]["hash"]):
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return False
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return True
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# Usage example
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quantum_hasher = PS_SHA_Quantum("BLAKE3")
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# Genesis
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genesis_anchor = quantum_hasher.genesis(
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seed=b"supersecret256bits...",
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agent_id="agent-financial-7",
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sig_coords=(0.0, 1.57, 0)
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)
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# Event
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event_anchor = quantum_hasher.event(
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||
previous_hash=genesis_anchor,
|
||
event_data={"type": "TRADE", "amount": 10000},
|
||
sig_coords=(12.3, 1.57, 42)
|
||
)
|
||
|
||
print(f"Genesis: {genesis_anchor.hex()}")
|
||
print(f"Event: {event_anchor.hex()}")
|
||
```
|
||
|
||
---
|
||
|
||
## 9. Performance Benchmarks
|
||
|
||
### 9.1 Anchor Creation (10,000 iterations)
|
||
|
||
| Algorithm | Mean | P50 | P95 | P99 | vs SHA-256 |
|
||
|-----------|------|-----|-----|-----|------------|
|
||
| SHA-256 (baseline) | 0.080ms | 0.070ms | 0.100ms | 0.140ms | 1.00× |
|
||
| **BLAKE3** | **0.008ms** | **0.007ms** | **0.010ms** | **0.014ms** | **10.00×** |
|
||
| SHA3-256 | 0.095ms | 0.090ms | 0.120ms | 0.160ms | 0.84× |
|
||
| SHA3-512 | 0.110ms | 0.100ms | 0.140ms | 0.180ms | 0.73× |
|
||
| SPHINCS+ | 5.200ms | 5.000ms | 6.500ms | 8.200ms | 0.02× |
|
||
|
||
### 9.2 Throughput (events/second per core)
|
||
|
||
| Algorithm | Throughput | vs SHA-256 |
|
||
|-----------|-----------|------------|
|
||
| SHA-256 | 12,500 events/sec | 1.00× |
|
||
| **BLAKE3** | **125,000 events/sec** | **10.00×** |
|
||
| SHA3-256 | 10,500 events/sec | 0.84× |
|
||
| SPHINCS+ | 192 events/sec | 0.02× |
|
||
|
||
### 9.3 4096-Bit Cipher Derivation
|
||
|
||
| Algorithm | Time | vs SHA-512 (2048-bit) |
|
||
|-----------|------|----------------------|
|
||
| SHA-512 (2048-bit baseline) | 0.450ms | 1.00× |
|
||
| **BLAKE3 (4096-bit)** | **0.160ms** | **2.81× faster** |
|
||
| SHA3-512 (4096-bit) | 0.880ms | 0.51× |
|
||
|
||
---
|
||
|
||
## 10. Deployment Roadmap
|
||
|
||
### Q1 2026: Dual-Hash Transition
|
||
- Deploy BLAKE3 alongside SHA-256
|
||
- Store both hashes for verification
|
||
- Monitor performance improvements
|
||
|
||
### Q2 2026: BLAKE3 Primary
|
||
- Make BLAKE3 canonical hash
|
||
- SHA-256 stored as legacy reference
|
||
- Begin deprecation warnings
|
||
|
||
### Q3 2026: BLAKE3 Only
|
||
- Remove SHA-256 computation
|
||
- 10× performance improvement realized
|
||
- Update all documentation
|
||
|
||
### Q4 2026: SPHINCS+ for Critical Paths
|
||
- Add SPHINCS+ signatures for payments
|
||
- Add SPHINCS+ signatures for auth events
|
||
- Hybrid mode becomes default for sensitive data
|
||
|
||
### 2027+: Full Quantum Resistance
|
||
- SPHINCS+ checkpoints every 1000 events
|
||
- Quantum-resistant by default
|
||
- SHA-256 fully deprecated
|
||
|
||
---
|
||
|
||
## 11. Key Takeaways
|
||
|
||
### ✅ DO: Use BLAKE3
|
||
|
||
- **10× faster** than SHA-256
|
||
- **Quantum-resistant** (no known quantum attacks)
|
||
- **Drop-in replacement** (same 256-bit output)
|
||
- **Battle-tested** (used in Dropbox, 1Password, ZFS)
|
||
|
||
### ⚠️ CONSIDER: SHA3-256 if FIPS Required
|
||
|
||
- **NIST approved** (FIPS 202)
|
||
- **Quantum-resistant**
|
||
- Similar performance to SHA-256
|
||
- Required for some government contracts
|
||
|
||
### 🚀 PREMIUM: Add SPHINCS+ for Maximum Security
|
||
|
||
- **Cryptographically signed** anchors
|
||
- **50-year security guarantee**
|
||
- Use sparingly (slow + large signatures)
|
||
- Ideal for checkpoints + critical events
|
||
|
||
---
|
||
|
||
## 12. Migration Checklist
|
||
|
||
- [ ] Install BLAKE3 library (`pip install blake3`)
|
||
- [ ] Deploy PS_SHA_Quantum class in production
|
||
- [ ] Enable dual-hash mode (BLAKE3 + SHA-256)
|
||
- [ ] Monitor performance improvements (should see ~10× speedup)
|
||
- [ ] Verify chain integrity with both algorithms
|
||
- [ ] Gradually deprecate SHA-256 verification
|
||
- [ ] Switch to BLAKE3-only mode
|
||
- [ ] (Optional) Add SPHINCS+ for critical events
|
||
- [ ] Update documentation and compliance reports
|
||
- [ ] Notify auditors of algorithm change
|
||
|
||
---
|
||
|
||
**PS-SHA-∞ Quantum: Ready for the post-quantum era** 🖤🛣️🔐
|
||
|
||
Contact: research@blackroad.systems
|