audit-structural-equivalence

audit-structural-equivalence is a skill for Claude Code, Codex from yogsoth-ai/de-anthropocentric-research-engine. It costs 55 tokens per session (679 once invoked), scanned A, original, Apache-2.0.

An audit of a claimed structural equivalence between two systems, models, or concepts. It builds an explicit mapping and checks whether their parts, operations, and important properties are preserved.

In plain words
What is it for?
Use it to assess claims of isomorphism, substructure, homomorphism, shared invariants, or analogy by mapping components and testing what the mapping preserves.
Why use it?
Two things can look alike while behaving differently in important cases. The audit searches for counterexamples and weakens the claim to a more accurate relationship when full equivalence fails.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it to assess claims of isomorphism, substructure, homomorphism, shared invariants, or analogy by mapping components and testing what the mapping preserves.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/yogsoth-ai/de-anthropocentric-research-engine/audit-structural-equivalence
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add yogsoth-ai/de-anthropocentric-research-engine --skill audit-structural-equivalence
Clone the repo
git clone --depth 1 https://github.com/yogsoth-ai/de-anthropocentric-research-engine

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for audit-structural-equivalence

README.md
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Your own site
<a href="https://agentmods.dev/skills/yogsoth-ai/de-anthropocentric-research-engine/audit-structural-equivalence"><img src="https://agentmods.dev/badge/skills/yogsoth-ai/de-anthropocentric-research-engine/audit-structural-equivalence/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for audit-structural-equivalence

Your own site · 80×15
<a href="https://agentmods.dev/skills/yogsoth-ai/de-anthropocentric-research-engine/audit-structural-equivalence"><img src="https://agentmods.dev/badge/skills/yogsoth-ai/de-anthropocentric-research-engine/audit-structural-equivalence.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 55 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 679 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00055 $0.00679
Opus 5.5 $0.00022 $0.00272
Sonnet 5.5 $0.00011 $0.00136
Haiku 4.5 $0.00006 $0.00068

Measured 1mo ago against content hash 11c63b40d55c, method: parsed. Prices are Anthropic first-party input rates as of 2026-10-07, from the pricing page.

Security

Grade A, and why

audit-structural-equivalence scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 1mo ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/audit-structural-equivalence/SKILL.md · 59 lines

How it starts

The opening of the file, as written. The whole thing — 59 lines — stays where its author put it; the contents beside it link to each section on GitHub.

audit-structural-equivalence

Purpose

Audit a claimed isomorphism or equivalence and downgrade it to the strongest defensible relation when preservation fails.

Input contract

mode_contracts:
  isomorphism: &structural_audit_input
    required: [source_structure, target_structure, equivalence_claim]
    optional: [required_invariants, operations, constraints]
    constraints: [mapping_domains_and_preservation_obligations_must_be_explicit]
  substructure: *structural_audit_input
  homomorphism: *structural_audit_input
  shared-invariant: *structural_audit_input
  analogy: *structural_audit_input

Execution protocol

Do not perform called SOP operations inline; each loaded SOP owns its contract and thresholds.

  1. You MUST load skill extract-structural-mapping to construct the object, relation, operation, and invariant mapping.
  2. You MUST load skill test-structure-preservation to test preservation. You MUST load skill generate-counterexample to search minimal counterexamples.
  3. You MUST load skill downgrade-equivalence-claim to downgrade the claim and record lost invariants. Deviation: if the claim is only analogy by scope, run the analogy branch and do not report isomorphism.

Output contract

mode_contracts:
  isomorphism: &structural_audit_output
    produces: [claimed_sides, maps_attempted, monsters_found, dimension_count_result, highest_defended_rung, required_wording_change]
    delta_fields: [findings, evidence_updates, uncertainties, decisions]
  substructure: *structural_audit_output
  homomorphism: *structural_audit_output
  shared-invariant: *structural_audit_output
  analogy: *structural_audit_output

Thresholds and quality gates

  • All required relations, operations, and invariants must have pass/fail/unknown status.
  • A full equivalence claim fails on one unprincipled preservation counterexample.

Failure and counterexamples

Do not infer equivalence from surface similarity. Exclusions introduced only after a counterexample are ad hoc unless independently justified.

Read the full file on GitHub · 59 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 1mo ago First seen · 59 lines · 55 tokens per session scan A 11c63b40d55c

Subscribe to this mod's changes

audit-structural-equivalence is a skill published in the GitHub repository yogsoth-ai/de-anthropocentric-research-engine (510 stars, last pushed 14d ago), licensed Apache-2.0. It adds 55 tokens to every session and 679 once invoked, about $0.0002 per session on Opus 5.5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-24.

Related

audit-structural-equivalence compared with skills from other repositories

audit-structural-equivalence next to 6 skills from other repositories
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