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.
npx skills add plurigrid/asi --skill compositional-acset-comparisongit clone --depth 1 https://github.com/plurigrid/asiWrote 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.
[](https://agentmods.dev/skills/plurigrid/asi/compositional-acset-comparison)<a href="https://agentmods.dev/skills/plurigrid/asi/compositional-acset-comparison"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/compositional-acset-comparison/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.
<a href="https://agentmods.dev/skills/plurigrid/asi/compositional-acset-comparison"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/compositional-acset-comparison.svg" alt="Reviewed on agentmods" width="80" height="20"></a>- NVIDIA SkillSpector warn
SkillSpector: 1 finding, up to medium
These are SkillSpector’s own severities. On a checked sample its high-severity flags on skills were ~96% false positives — a documented command, a public API, a “never do X” rule — so we show them as a caution to read, not a verdict. Why →
- medium analysis-evasion · line 1 Suspicious Unicode normalization or mixed-script contentFix: Review the flagged content for security risks. Ensure no credentials, secrets, or sensitive data are exposed.
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.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00033 | $0.04766 |
| Opus 5 | $0.00016 | $0.02383 |
| Sonnet 5 | $0.00007 | $0.00953 |
| Haiku 4.5 | $0.00003 | $0.00477 |
Grade A, and why
compositional-acset-comparison 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 6d 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.
How it starts
The opening of the file, as written. The whole thing — 493 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Compositional ACSet Comparison Skill
"The algorithm IS the data, the data IS the algorithm" — Homoiconic Principle
Trit: 0 (ERGODIC - Coordinator) Color: #26D826 (Green) Domain: Compositional algorithm/data analysis via algebraic databases
SYNOPSIS (Man Page)
compositional-acset-comparison - compare storage schemas via algebraic databases
USAGE:
include("DuckDBACSet.jl")
include("LanceDBACSet.jl")
compare_schemas(SchDuckDB, SchLanceDB)
TOOLS:
ComparisonUtils.jl - 12-dimension golden spiral comparison
GhristCoverage.jl - Persistent homology coverage analysis
ColoringFunctor.jl - GF(3) coloring and 3-colorability
GeometricMorphism.jl - Presheaf topos translation analysis
IrreversibleMorphisms.jl - Detect lossy morphisms
SideBySideComparison.jl - Visual diff tables
SEEDS:
1000000 - Core schemas and comparison
2000000 - Irreversibility analysis
3000000 - Side-by-side streams
4000000 - Ghrist/Coloring/Morphism analysis
SEE ALSO:
acsets(7), gay-mcp(7), three-match(7), temporal-coalgebra(7)
INFO (Quick Reference)
| Key | Value |
|---|---|
| Type | ERGODIC (0) - Coordinator |
| Color | #26D826 (Green) |
| Seed | 1000000 (core), 4000000 (analysis) |
| Golden Angle | 137.508° |
| Dimensions | 12 comparison axes |
| Schemas | DuckDB (10 Ob, 11 Hom), LanceDB (14 Ob, 18 Hom) |
| Irreversible | 0 (DuckDB), 2 (LanceDB) |
| Coverage | Table ↔ Table ✓, Column ↔ Column ✓ |
| Dead Zones | Segment, Manifest, VectorIndex |
Quick Commands
# Full 12-dimension comparison
full_comparison()
# Coverage analysis (Ghrist)
run_coverage_analysis()
# Coloring functor with GF(3) verification
run_coloring_comparison()
# Geometric morphism (presheaf topos translation)
run_geometric_morphism_analysis()
# Reversibility statistics
reversibility_summary()
Homoiconic Insight
In self-hosted Lisps, the boundary between data structures and algorithms dissolves:
- Code is data, data is code (homoiconicity)
- Evaluation time is phase-scoped (RED/BLUE/GREEN gadgets)
- Entanglement avoided by leaving phases open until explicitly closed
- Compositional structure preserved across algorithm ↔ data boundary
What ships with it
8 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.
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.
- 6d ago First seen · 493 lines · 33 tokens per session scan A 99ac784ea53f
compositional-acset-comparison is a skill published in the GitHub repository plurigrid/asi (62 stars, last pushed 2mo ago), licensed MIT. It adds 33 tokens to every session and 4,766 once invoked, about $0.0002 per session on Opus 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 2026-09-03.
Other skills, from other repositories
create-pr
Creates a GitHub PR with a Linear-ticket-prefixed title and a decision-led, narrative description for prisma-next. Use when the user wants to create a pull request, open a PR, or submit changes for review.
schema-exploration
Lists tables, describes columns and data types, identifies foreign key relationships, and maps entity relationships in a database. Use when the user asks about database schema, table structure, column types, what tables exist, ERD, foreign keys, or how entities relate.
ha-data-stores
Map of Hope Agent's local data stores and safe read-only query workflow. Use when the user asks where Hope Agent stores data, wants to inspect sessions/messages/memory/logs/background jobs/knowledge indexes/settings, asks the model to query local app data, or debugging requires checking persisted state. Trigger…
supabase
Supabase / PostgREST Row-Level-Security playbook — pull the anon (or leaked servicerole) key out of the frontend JS, map tables from the auto-generated OpenAPI spec, test anonymous RLS READ disclosures (PII/secret leaks), and anonymous RLS WRITE abuse (insert/update/delete — e.g. forging…
nornicdb-cypher-queries
Pick fast, predictable Cypher query shapes in NornicDB — point lookups, batch retrieval, pagination, search, traversal, batched UNWIND/MERGE writes, cleanup, multi-tenant isolation. Use when writing or reviewing Cypher whose latency or throughput matters; maps user intent to the executor's hot-path query templates.
dsql
Build with Aurora DSQL — manage schemas, execute queries, handle migrations, diagnose query plans, diagnose cluster performance, load data, and develop applications with a serverless, distributed SQL database. Covers IAM auth, multi-tenant patterns, MySQL-to-DSQL and PostgreSQL-to-DSQL schema conversion, foreign key…