Is it compatible with other Claude Code skills?

Yes, as a Trit -1 validator skill, it is designed to form valid triads with ERGODIC (0) and PLUS (+1) skills for comprehensive system analysis.

Can this skill analyze compiled binaries?

Yes, it includes a Radare2 analyzer that builds simplicial complexes from function call graphs to identify structural holes in binary files.

How does this help with refactoring?

It identifies 'stable' features—long-lived cycles or components—that represent fundamental structures vs. 'noise' that can be simplified without breaking the architecture.

What do Betti numbers indicate for my code?

β₀ measures connected components (modules), β₁ identifies 1-dimensional holes (cyclic dependencies), and β₂ highlights higher-order structural voids.

What is Persistent Homology in the context of code?

It is a mathematical method that tracks how topological features, such as clusters or cycles, persist as you vary a complexity threshold, helping identify significant architectural patterns.

Persistent Homology Analysis

Name: Persistent Homology Analysis
Author: plurigrid

byplurigrid

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Analytics & Monitoring

Analyzes codebase architecture using topological data analysis to identify stable structural features and cyclic dependencies.

This skill implements Persistent Homology, a sophisticated topological data analysis (TDA) technique, to evaluate the structural integrity and complexity of software. By treating code as a simplicial complex and applying filtrations based on complexity metrics, it identifies 'stable features' that persist across scales while filtering out architectural noise. It is uniquely equipped to detect structural holes, deep-seated cyclic dependencies, and voids in both source code and binaries, providing a mathematically rigorous framework for verifying stability during refactoring or version transitions.

Key Features

01Automated Betti number calculation (β₀, β₁, β₂) for clusters and cycles

02Stability verification using bottleneck distance between codebase versions

037 GitHub stars

04Radare2 integration for topological analysis of compiled binaries

05Complexity-based filtration for multiscale structural analysis

06Persistence diagram generation for birth-death tracking of features

Use Cases

01Verifying architectural stability across different versions of a codebase

02Analyzing binary structures for structural 'holes' and anomalous connectivity

03Detecting and refactoring persistent cyclic dependencies in large-scale systems

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi persistent-homology

For use in Claude.ai and ChatGPT

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