HIPAA-Compliant Patient Data Anonymization Pipeline

Design a PostgreSQL stored procedure that automatically anonymizes patient medical records while preserving statistical integrity. The procedure must: 1) Replace personally identifiable information with cryptographically secure hashes, 2) Implement reversible tokenization for audit trails, 3) Maintain referential integrity across multiple related tables, and 4) Generate detailed anonymization logs with minimal performance overhead. Include error handling for edge cases like partial records or complex nested relationships.