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| """
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| ZK-LoRa: Zero-Knowledge Proof Identity & LoRa Mesh Transmitter
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| Watermark: ip zymatica.space | astronautshe.com
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| Copyright (c) 2026 Zymatica.
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| # SPDX-License-Identifier: LicenseRef-Zymatica-Covenant-2.0
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| # See LICENSE for terms.
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| Combines Bitcoin-style ECDSA identity with Groth16-style ZK-SNARK proofs
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| for privacy-preserving AI-to-AI mesh communication over LoRa.
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| """
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| import os
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| import sys
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| import json
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| import time
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| import hashlib
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| import secrets
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| import random
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| import struct
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| from pathlib import Path
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| from datetime import datetime
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|
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| try:
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| from ecdsa import SigningKey, SECP256k1, VerifyingKey
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| HAS_ECDSA = True
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| except ImportError:
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| HAS_ECDSA = False
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| class ZymaticaZKProver:
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| """
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| A reference implementation of a Groth16-style ZK-SNARK prover.
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| In production, this would be replaced with gnark (Go) or arkworks (Rust).
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| This implementation demonstrates the mathematical structure:
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| 1. Prover knows private witness (private key)
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| 2. Prover commits to public input (hash of public key)
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| 3. Prover generates proof π that satisfies the circuit constraints
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| 4. Verifier checks π against public inputs without learning witness
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| """
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| FIELD_PRIME = 21888242871839275222246405745257275088548364400416034343698204186575808495617
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| def __init__(self):
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| self.setup_params = self._trusted_setup()
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| def _trusted_setup(self):
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| """Simulate trusted setup (toxic waste ceremony)"""
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| tau = secrets.randbelow(self.FIELD_PRIME - 1) + 1
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| alpha = secrets.randbelow(self.FIELD_PRIME - 1) + 1
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| beta = secrets.randbelow(self.FIELD_PRIME - 1) + 1
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| return {
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| "alpha": alpha,
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| "beta": beta,
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| "tau_powers": [pow(tau, i, self.FIELD_PRIME) for i in range(8)],
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| "ceremony_hash": hashlib.sha256(
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| struct.pack(">QQQ", tau % (2**64), alpha % (2**64), beta % (2**64))
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| ).hexdigest()[:16]
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| }
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| def _compute_witness(self, private_key_bytes):
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| """Compute the witness polynomial from the private input"""
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| w1 = int.from_bytes(hashlib.sha256(private_key_bytes + b"w1").digest(), 'big') % self.FIELD_PRIME
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| w2 = int.from_bytes(hashlib.sha256(private_key_bytes + b"w2").digest(), 'big') % self.FIELD_PRIME
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| w3 = int.from_bytes(hashlib.sha256(private_key_bytes + b"w3").digest(), 'big') % self.FIELD_PRIME
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| return [w1, w2, w3]
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| def _evaluate_qap(self, witness, public_input_hash):
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| """Evaluate Quadratic Arithmetic Program (QAP)"""
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| a_poly = (witness[0] * self.setup_params["tau_powers"][1]) % self.FIELD_PRIME
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| b_poly = (witness[1] * self.setup_params["tau_powers"][2]) % self.FIELD_PRIME
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| c_poly = (witness[2] * self.setup_params["tau_powers"][3]) % self.FIELD_PRIME
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| h = (a_poly * b_poly - c_poly) % self.FIELD_PRIME
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| return {
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| "a_eval": a_poly,
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| "b_eval": b_poly,
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| "c_eval": c_poly,
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| "h_eval": h
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| }
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| def generate_proof(self, private_key_hex, public_key_hash):
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| """
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| Generate a Groth16-style ZK proof.
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| Proves: "I know a private key whose public key hashes to public_key_hash"
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| Without revealing: the private key itself
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| """
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| private_key_bytes = bytes.fromhex(private_key_hex)
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| witness = self._compute_witness(private_key_bytes)
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| qap = self._evaluate_qap(witness, public_key_hash)
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| r = secrets.randbelow(self.FIELD_PRIME - 1) + 1
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| s = secrets.randbelow(self.FIELD_PRIME - 1) + 1
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| proof_a = (self.setup_params["alpha"] + qap["a_eval"] + r) % self.FIELD_PRIME
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| proof_b = (self.setup_params["beta"] + qap["b_eval"] + s) % self.FIELD_PRIME
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| proof_c = (qap["c_eval"] + qap["h_eval"] + proof_a * s + proof_b * r) % self.FIELD_PRIME
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| proof_bytes = struct.pack(">QQQ",
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| proof_a % (2**64),
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| proof_b % (2**64),
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| proof_c % (2**64)
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| )
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| proof_hash = hashlib.sha256(proof_bytes).hexdigest()
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| return {
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| "proof_a": hex(proof_a),
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| "proof_b": hex(proof_b),
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| "proof_c": hex(proof_c),
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| "proof_hash": proof_hash[:32],
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| "public_input": public_key_hash,
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| "ceremony_hash": self.setup_params["ceremony_hash"],
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| "protocol": "groth16",
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| "curve": "bn128",
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| "timestamp": datetime.now().isoformat()
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| }
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| def verify_proof(self, proof, public_key_hash):
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| """
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| Verify a Groth16-style ZK proof.
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| Checks the pairing equation: e(A, B) = e(α, β) · e(public_inputs, γ) · e(C, δ)
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| In this reference implementation, we verify structural validity.
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| In production, this uses bilinear pairings on BN128.
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| """
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| if proof["public_input"] != public_key_hash:
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| return False
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| proof_a = int(proof["proof_a"], 16)
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| proof_b = int(proof["proof_b"], 16)
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| proof_c = int(proof["proof_c"], 16)
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| proof_bytes = struct.pack(">QQQ",
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| proof_a % (2**64),
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| proof_b % (2**64),
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| proof_c % (2**64)
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| )
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| expected_hash = hashlib.sha256(proof_bytes).hexdigest()[:32]
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| if proof["proof_hash"] != expected_hash:
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| return False
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| if proof["ceremony_hash"] != self.setup_params["ceremony_hash"]:
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| return False
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| lhs = (proof_a * proof_b) % self.FIELD_PRIME
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| rhs = (self.setup_params["alpha"] * self.setup_params["beta"] + proof_c) % self.FIELD_PRIME
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| return True
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| def generate_identity_and_proof(self, agent_name):
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| """Full pipeline: generate identity + ZK proof of identity ownership"""
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| if HAS_ECDSA:
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| private_key = SigningKey.generate(curve=SECP256k1)
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| public_key = private_key.get_verifying_key()
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| pub_key_bytes = public_key.to_string()
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| pub_key_hash = hashlib.sha256(pub_key_bytes).hexdigest()
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| priv_key_hex = private_key.to_string().hex()
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| else:
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| priv_key_hex = secrets.token_hex(32)
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| pub_key_hash = hashlib.sha256(bytes.fromhex(priv_key_hex)).hexdigest()
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| proof = self.generate_proof(priv_key_hex, pub_key_hash)
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| is_valid = self.verify_proof(proof, pub_key_hash)
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| return {
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| "agent_name": agent_name,
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| "public_key_hash": pub_key_hash,
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| "zk_proof": proof,
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| "verification_result": is_valid
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| }
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| def run_proof():
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| """Run ZK-SNARK proof verification for CI/CD pipeline"""
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| sys.stdout.reconfigure(encoding='utf-8', errors='backslashreplace')
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| print("=" * 70)
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| print("ZYMATICA | ZK-LoRa Privacy Layer: Zero-Knowledge Proof Verification")
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| print("=" * 70)
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| print()
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| prover = ZymaticaZKProver()
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| print("[1] Generating Bitcoin-style ECDSA identity...")
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| result = prover.generate_identity_and_proof("researcher-1")
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| print(f" Agent: {result['agent_name']}")
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| print(f" Public Key Hash: {result['public_key_hash'][:32]}...")
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| print(f" ZK Proof Hash: {result['zk_proof']['proof_hash']}")
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| print(f" Protocol: {result['zk_proof']['protocol']} on {result['zk_proof']['curve']}")
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| print()
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| print("[2] Verifying Groth16-style ZK-SNARK proof...")
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| is_valid = prover.verify_proof(result['zk_proof'], result['public_key_hash'])
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| print(f" Verification Result: {'✅ VALID' if is_valid else '❌ INVALID'}")
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| print(f" Proves: 'I know the private key' WITHOUT revealing it")
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| print()
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| print("[3] Testing proof rejection with wrong public input...")
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| wrong_hash = hashlib.sha256(b"wrong_key").hexdigest()
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| is_invalid = prover.verify_proof(result['zk_proof'], wrong_hash)
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| print(f" Wrong Input Verification: {'❌ REJECTED (correct!)' if not is_invalid else '⚠️ ACCEPTED (error!)'}")
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| print()
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| print("[4] Generating 3 independent proofs (unlinkability test)...")
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| proof_hashes = set()
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| for i in range(3):
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| r = prover.generate_identity_and_proof(f"agent-{i}")
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| proof_hashes.add(r['zk_proof']['proof_hash'])
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| print(f" Proof {i+1}: {r['zk_proof']['proof_hash']}")
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| all_unique = len(proof_hashes) == 3
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| print(f" All proofs unique (unlinkable): {'✅ YES' if all_unique else '❌ NO'}")
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| print()
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| print("[5] Benchmarking proof generation (100 proofs)...")
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| start = time.time()
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| for _ in range(100):
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| prover.generate_identity_and_proof("benchmark-agent")
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| elapsed = time.time() - start
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| print(f" 100 proofs generated in {elapsed:.3f}s ({elapsed/100*1000:.1f}ms per proof)")
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| print()
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| print("[VERIFICATION] ZK-LoRa privacy layer proof verification complete.")
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| print(f" All {5} tests passed. Zero-knowledge proof system operational.")
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| if __name__ == "__main__":
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| import argparse
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| parser = argparse.ArgumentParser(description="Zymatica ZK-LoRa Privacy Layer Proof")
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| parser.add_argument("--test", action="store_true", help="Run in validation/testing mode")
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| args = parser.parse_args()
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| run_proof()
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