npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
A skill for coordinating multi-agent systems using GF(3) (Galois Field of 3 elements) conservation. Implements the core pattern: **local choice χ ∈ {-1, 0, +1} determines all state transitions**.
Routes tasks to GF(3) triads of subagent skills (validator/ergodic/generator) ensuring balance mod 3. Dispatches and executes for bundles like core, learning.
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.
A skill for coordinating multi-agent systems using GF(3) (Galois Field of 3 elements) conservation. Implements the core pattern: local choice χ ∈ {-1, 0, +1} determines all state transitions.
This skill enables agents to:
When orchestrating multiple agents or operations, assign trits:
| Trit | Role | Semantics |
|---|---|---|
| +1 (PLUS) | Generator | Create, advance, produce |
| 0 (ERGODIC) | Transformer | Process, maintain, equilibrate |
| -1 (MINUS) | Absorber | Consume, validate, verify |
For any triplet of operations to compose correctly:
trit(A) + trit(B) + trit(C) ≡ 0 (mod 3)
Valid triplets:
Three orthogonal vectors for change:
| Vector | Type | Trit | Description |
|---|---|---|---|
| α | Behavioral/State | 0 (ERGODIC) | Time evolution within fixed ontology |
| β | Structural/Type | +1 (PLUS) | Mutation of code, morphology, parameters |
| γ | Bridge/Coherence | -1 (MINUS) | Meta-layer mapping structure to function |
Sum: α(0) + β(+1) + γ(-1) = 0 ✓
Agent A (Explorer, +1) - generates new possibilities
Agent B (Processor, 0) - transforms and routes
Agent C (Validator, -1) - verifies and absorbs
Σ = +1 + 0 + (-1) = 0 ✓
World-Hopping (+1) - explore parallel worlds
Triad-Interleave (0) - weave between possibilities
Epistemic-Arbitrage (-1) - exploit knowledge differentials
Σ = 0 ✓
DisCoPy-Monoidal (+1) - compose diagrams
Categorical-Rewriting (0) - apply DPO/SPO rules
Graph-Grafting (-1) - attach/detach subgraphs
Σ = 0 ✓
Each trit maps to a deterministic color via Gay.jl:
| Trit | Index | Hex (seed=69) |
|---|---|---|
| +1 | 1 | #301ADC |
| 0 | 2 | #7330AD |
| -1 | 3 | #D192DD |
For GF(3)² (9 colors), use indices 0-8:
(0,0)=#301ADC (0,+)=#7330AD (0,-)=#D192DD
(+,0)=#D9DE86 (+,+)=#DD77D4 (+,-)=#E1798E
(-,0)=#A80EA2 (-,+)=#EB39A7 (-,-)=#A724AB
julia scripts/validate.jl
guile -l scripts/gf3-kanren.scm
GADGET-SYNTHESIS.mdALIFE-STRUCTURAL-DIFFING.mdGenerated via GF(3) Tripartite Orchestration skill.
gf3 tripartite multi-agent coordination conservation coloring
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.