#!/usr/bin/env python3 """ Add golden ratio CRC equations to math_entities.db database This script adds the specific mathematical equations from the golden ratio CRC UDP reassembly code to the math_entities.db database. """ import sqlite3 import hashlib import json # Database path DB_PATH = "/home/allaun/Documents/Research Stack/data/math_entities.db" def create_entity_id(name, year): """Create deterministic entity ID from name and year.""" content = f"{name}:{year}" hash_prefix = hashlib.sha256(content.encode()).hexdigest()[:16] return f"golden-crc-{hash_prefix}" def add_golden_crc_equations(): """Add golden ratio CRC equations to database.""" conn = sqlite3.connect(DB_PATH) # Golden ratio CRC equations equations = [ { 'name': 'Golden Polynomial Generation', 'statement': 'P = ⌊(φ mod 1) × 10^8⌋ ⊕ 0x1021', 'variables': 'φ=1.61803398875 (golden ratio), ⊕=bitwise XOR', 'purpose': 'Generates CRC polynomial seed from golden ratio fractional part for cryptographic provenance', 'subject': 'number_theory', 'proof_status': 'proven', 'formal_status': 'informal', 'lean_module': None, 'complexity_score': 32768, 'year': 2026, 'source_file': 'shared-data/data/extraneous/golden_crc_udp_reassembly.py' }, { 'name': 'Invisible Unicode Encoding', 'statement': 'E: {00,01,10,11} → {U+200B, U+200C, U+200D, U+200B+U+200C}', 'variables': 'U+200B=zero-width space, U+200C=zero-width non-joiner, U+200D=zero-width joiner', 'purpose': 'Encodes 2-bit pairs into invisible Unicode characters for covert channel transmission', 'subject': 'cryptography', 'proof_status': 'proven', 'formal_status': 'informal', 'lean_module': None, 'complexity_score': 32768, 'year': 2026, 'source_file': 'shared-data/data/extraneous/golden_crc_udp_reassembly.py' }, { 'name': 'Golden CRC Checksum', 'statement': 'CRC(d) = CRC32(d, P)', 'variables': 'd=data string, P=golden polynomial, CRC32=standard CRC-32 with seed', 'purpose': 'Computes 32-bit CRC using golden ratio polynomial as seed for segment integrity verification', 'subject': 'cryptography', 'proof_status': 'proven', 'formal_status': 'informal', 'lean_module': None, 'complexity_score': 32768, 'year': 2026, 'source_file': 'shared-data/data/extraneous/golden_crc_udp_reassembly.py' }, { 'name': 'Phonon Graph Reassembly', 'statement': 'R = ⋃ {s_i | CRC(s_i) = crc_i}', 'variables': 's_i=segment i, crc_i=stored checksum for segment i, R=reassembled message', 'purpose': 'Reassembles message by accepting only segments with valid golden CRC checksums; implements distributed consensus without central sequencer', 'subject': 'graph_theory', 'proof_status': 'proven', 'formal_status': 'informal', 'lean_module': None, 'complexity_score': 32768, 'year': 2026, 'source_file': 'shared-data/data/extraneous/golden_crc_udp_reassembly.py' } ] inserted = 0 updated = 0 skipped = 0 for eq in equations: entity_id = create_entity_id(eq['name'], eq['year']) try: # Check if entity already exists cursor = conn.execute("SELECT entity_id FROM math_entities WHERE entity_id = ?", (entity_id,)) existing = cursor.fetchone() if existing: # Update existing conn.execute(""" UPDATE math_entities SET subject = ?, secondary_subjects = ?, name = ?, statement = ?, proof_status = ?, formal_status = ?, lean_module = ?, dependencies = ?, citations = ?, complexity_score = ?, year = ?, source_file = ?, last_synced = CURRENT_TIMESTAMP WHERE entity_id = ? """, ( eq['subject'], json.dumps([]), eq['name'], eq['statement'], eq['proof_status'], eq['formal_status'], eq['lean_module'], json.dumps([]), json.dumps([]), eq['complexity_score'], eq['year'], eq['source_file'], entity_id )) updated += 1 print(f"[UPDATE] {eq['name']}") else: # Insert new conn.execute(""" INSERT INTO math_entities ( entity_id, subject, secondary_subjects, name, statement, proof_status, formal_status, lean_module, dependencies, citations, complexity_score, year, source_file ) VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?) """, ( entity_id, eq['subject'], json.dumps([]), eq['name'], eq['statement'], eq['proof_status'], eq['formal_status'], eq['lean_module'], json.dumps([]), json.dumps([]), eq['complexity_score'], eq['year'], eq['source_file'] )) inserted += 1 print(f"[INSERT] {eq['name']}") # Log insert conn.execute(""" INSERT INTO sync_log (operation, entity_id, source_file, details) VALUES (?, ?, ?, ?) """, ('INSERT', entity_id, eq['source_file'], 'Added golden ratio CRC equation')) except sqlite3.IntegrityError: skipped += 1 print(f"[SKIP] {eq['name']} - integrity error") except Exception as e: print(f"[ERROR] Failed to add {eq['name']}: {e}") conn.commit() conn.close() print(f"[OK] Inserted: {inserted}, Updated: {updated}, Skipped: {skipped}") if __name__ == "__main__": print("[INFO] Adding golden ratio CRC equations to math_entities.db") add_golden_crc_equations()