Can I use this for distributed systems?

Yes, it includes specific resources for infinity-topos distributed witnessing using RISC Zero zkVM, enabling higher-categorical reasoning in distributed environments.

How does Topos Unified handle data storage?

The skill utilizes DuckDB for topos artifact storage and Babashka (Clojure) for high-performance scripting and manifest management.

What is the Topos Unified skill for Claude Code?

It is a specialized capability that provides a unified interface for mathematical resources, specifically focusing on category theory, topos theory, and their applications in music, databases, and cognitive science.

What mathematical frameworks does this skill support?

It supports a wide range of frameworks including AlgebraicJulia (acsets), Mazzola's Topos of Music, Infinity Topos reasoning, and Active Inference modeling.

Topos Unified

Name: Topos Unified
Author: plurigrid

byplurigrid

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Data Science & ML

Unifies mathematical topos-theoretic resources, category theory tools, and cognitive modeling frameworks across the filesystem.

Topos Unified is a specialized skill designed to bridge high-level category theory with practical computational implementation. It provides a centralized interface for navigating and manipulating resources related to music theory, algebraic databases (acsets), infinity topoi, and active inference. By integrating frameworks like AlgebraicJulia and Mazzola’s Topos of Music, it enables developers and researchers to apply rigorous mathematical structures to complex problems in distributed systems, proof verification, and cognitive architecture within the Claude Code environment.

Key Features

01Algebraic database management via acsets and DuckDB integration for structured data

02Structured cognitive modeling via Active Inference in string diagrams

03Semantic navigation across filesystem world-markers and gayzip manifests

042 GitHub stars

05Higher-categorical reasoning through infinity-topos and zkVM distributed witnessing

06Unified access to mathematical music theory and Mazzola's MCP saturation workflows

Use Cases

01Designing complex database schemas using category theory and attributed C-sets

02Modeling multi-agent cognitive systems with active inference and sheaf cohomology

03Researching mathematical music theory using Mazzola’s framework and topos-theoretic tools

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi topos-unified

For use in Claude.ai and ChatGPT