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This skill provides a mathematical and topological framework for managing capability-based security within distributed systems. It leverages a 3×3 expert poset—categorizing roles as Validators, Coordinators, or Generators—to ensure compositional coherence across derivation chains. By integrating with DuckDB to track culture evolution and expert triads, it allows Claude to audit lifecycle paths, manage revocation, and maintain ergonomic, category-theoretic state alignment in complex 'topological chemputer' environments. It is particularly useful for developers working with distributed capability-based security (CapTP) and category theory-informed software architecture.
