Research-Stack/5-Applications/scripts/add_golden_crc_equations.py

#!/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()