From asi
Traces CapTP capability derivation chains through 3×3 expert poset with GF(3) conservation using DuckDB queries on culture_evolution.duckdb.
npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
Traces capability derivation chains through 3×3 expert poset with GF(3) conservation.
Generates behavioral patterns via deterministic GF(3) seed chaining as alternative to temporal training like agent-o-rama. Useful for fast, verifiable derivation without epochs.
Guides Next.js Cache Components and Partial Prerendering (PPR) with cacheComponents enabled. Implements 'use cache', cacheLife(), cacheTag(), revalidateTag(), static/dynamic optimization, and cache debugging.
Guides building MCP servers enabling LLMs to interact with external services via tools. Covers best practices, TypeScript/Node (MCP SDK), Python (FastMCP).
Share bugs, ideas, or general feedback.
Traces capability derivation chains through 3×3 expert poset with GF(3) conservation.
A capability IS the (seed, index) tuple. Expertise IS the trit alignment.
| Layer | Validator (-1) | Coordinator (0) | Generator (+1) | Domain |
|---|---|---|---|---|
| 1 | Jules Hedges | John Baez | Fabrizio Genovese | categorical-games |
| 2 | David Egolf | Mike Shulman | sarahzrf | sheaf-theory |
| 3 | Betweenness | Mantissa | ModalNoah | neural-categorical |
capability(-1) → vat(0) → invoke(+1) [spawn-lifecycle]
membrane(-1) → netlayer(0) → lambda(+1) [invoke-path]
handoff(-1) → syrup(0) → sturdy_ref(+1) [transfer-path]
revoke(-1) → promise(0) → goblin(+1) [revoke-path]
Each capability exists in superposition across expert domains:
Term Σ + Expert Σ ≡ 0 (mod 3)
Current state: COHERENT (residue = 0)
# Trace derivation chains
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM derivation_chains').df())"
# View expert triads
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM expert_triads').df())"
# Query NOW superposition
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM now_superposition').df())"
# Universal skill derivation
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM universal_skill_derivation LIMIT 20').df())"
| Database | Table/View | Purpose |
|---|---|---|
| culture_evolution.duckdb | derivation_chains | CapTP flow traces |
| culture_evolution.duckdb | expert_triads | 3×3 expert poset |
| culture_evolution.duckdb | capability_poset | Lattice structure |
| culture_evolution.duckdb | now_superposition | Current state |
| culture_evolution.duckdb | universal_skill_derivation | Full matrix |
| gh_interactome.duckdb | captp_third_party_contributions | Contributor mapping |
| Trit | Role | Color Channel | Experts |
|---|---|---|---|
| -1 | Validator | Blue | Hedges, Egolf, Betweenness |
| 0 | Coordinator | Green | Baez, Shulman, Mantissa |
| +1 | Generator | Red | Genovese, sarahzrf, ModalNoah |
This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
general: 734 citations in bib.duckdbThis skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
The skill participates in triads satisfying:
(-1) + (0) + (+1) ≡ 0 (mod 3)
This ensures compositional coherence in the Cat# equipment structure.