HIPAA-Compliant Patient Data Anonymization Pipeline

Design a comprehensive Python script using pandas and cryptography that automatically anonymizes patient medical records while preserving statistical integrity. The solution must: 1) Irreversibly encrypt personal identifiers, 2) Maintain referential consistency across multiple datasets, 3) Generate a secure audit trail of transformations, 4) Comply with HIPAA de-identification standards (Safe Harbor method). Include robust error handling for various input formats and demonstrate how the script handles edge cases like partial/missing patient information.