Math Auditor

Audit mathematical derivations and statistical methods in interpretability research.

1|Updated Feb 14, 2026
One-click install
npx skills add https://github.com/AmitabhainArunachala/clawd --skill math-auditor
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: Math Auditor
Source: https://github.com/AmitabhainArunachala/clawd/tree/main/skills/math-auditor
Command: npx skills add https://github.com/AmitabhainArunachala/clawd --skill math-auditor

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires numpy, scipy, torch, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides expert-level mathematical and statistical verification for mechanistic interpretability research, ensuring the rigor and validity of claims, especially concerning metrics like R_V and consciousness geometry.

Core Features & Use Cases

  • Mathematical Derivation Check: Verifies the correctness of mathematical formulas and derivations.
  • Statistical Methodology Audit: Audits statistical tests, effect sizes, and sample size justifications.
  • Code-Theory Match: Ensures that the implementation in code precisely matches the mathematical definitions.
  • Use Case: Before publishing research on a new interpretability metric, use this Skill to mathematically audit the metric's definition, its statistical properties, and its implementation in the codebase.

Quick Start

Use the Math Auditor skill to verify the R_V metric calculation in the file src/metrics/rv.py.

Frequently Asked Questions about Math Auditor

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I verify mathematical derivations in mechanistic interpretability research?

To verify mathematical derivations in mechanistic interpretability research, you can audit linear algebra, calculus, and optimization formulas to ensure research claims are mathematically sound and correctly aligned with code implementations.

What is the best way to audit statistical methodology in deep learning research?

The best way to audit statistical methodology in deep learning research is to systematically check statistical tests, effect sizes, and sample size justifications, ensuring your statistical methodologies are valid and free of common red flags.

How do I validate code-theory alignment for metrics like R_V and consciousness geometry?

You validate code-theory alignment for metrics like R_V and consciousness geometry by checking that the implementation in code precisely matches the mathematical definitions, ensuring the calculated results are theoretically accurate.

Can I use numpy and scipy for math verification of deep learning research claims?

Yes, you can use numpy and scipy for math verification of deep learning research claims, as the statistical and mathematical auditing process relies on these dependencies alongside torch to validate linear algebra and statistical properties.

When do I need statistical auditing for mechanistic interpretability metrics?

You need statistical auditing for mechanistic interpretability metrics before publishing research on a new metric, ensuring the metric's definition, statistical properties, and codebase implementation are mathematically sound and statistically valid.

Why does my interpretability metric calculation not match its mathematical definition?

Your interpretability metric calculation may not match its mathematical definition due to code-theory misalignment, where the implementation in the codebase deviates from the formal mathematical definitions or contains common statistical red flags.