Unified Spectral Adjugate Program After AIT: Core Theorems, Cohomological Signs, and Topological Extensions

Key Points

• The aim is to synthesize results from post-AIT using structured taxonomy and error correction.
• Developed a verification-oriented synthesis framework
• Created a claim-status taxonomy
• Constructed a dependency directed acyclic graph (DAG)
• Included retrospective analysis for error correction
• Identified explicit claim statuses for post-AIT results
• Demonstrated the importance of taxonomy in organizing findings
• Revealed dependencies between different theorem outcomes