Distributed Identifiers: Theoretical and Practical Analysis of UUIDs 1. Foundations of Distributed Identifier Systems 1.1 The Distributed Uniqueness Problem 1.2 Historical Evolution and Standardization 2. Information Theoretic Properties and Collision Analysis 2.1 Entropy and State Space Analysis 2.2 Birthday Paradox and Collision Probability 3. UUID Version Specifications and Their Evolution 3.1 Version 1: Time and Node-Based Identifiers 3.2 Version 3 and Version 5: Namespace-Based Naming 3.3 Version 4: Pure Random Identifiers 3.4 Version 6: Reordered Time Components 3.5 Version 7: Time-Ordered Identifiers 3.6 Version 8: Custom Timestamp Formats 4. Database Indexing Architecture and UUID Performance 4.1 B-Tree Index Mechanics 4.2 Sequential versus Random Insert Behavior 4.3 Storage Engine Considerations 4.4 Performance Benchmarking 5. RFC 9562: Implementation and Best Practices 5.1 Version 7 Specification Details 5.2 Implementation Patterns 5.3 Storage Optimization Strategies 6. Security Considerations and Privacy Implications 6.1 Unguessability Requirements 6.2 Privacy Implications 6.3 Information Disclosure in URLs and Logs 7. Migration Strategies and Alternative Identifiers 7.1 Migration Approaches 7.2 Alternative Identifier Schemes 7.3 Decision Framework 8. Conclusion
