Asi asi

Topological Superintelligence (TSI)

install

source · Clone the upstream repo

git clone https://github.com/plurigrid/asi

Claude Code · Install into ~/.claude/skills/

T=$(mktemp -d) && git clone --depth=1 https://github.com/plurigrid/asi "$T" && mkdir -p ~/.claude/skills && cp -r "$T/.claude-plugin/asi" ~/.claude/skills/plurigrid-asi-asi && rm -rf "$T"

manifest: .claude-plugin/asi/SKILL.md

source content

Topological Superintelligence (TSI)

Compositional AI framework using GF(3) triadic balance and category-theoretic foundations.

Core Principle

Every operation balances trits {-1, 0, +1}:

inject(+1) + bridge(0) + emit(-1) ≡ 0 (mod 3)

Tripartite Agent Architecture

Agent	Trit	Role	Color
PLUS	+1	Generation, creation, synthesis	#FF6B6B
ERGODIC	0	Coordination, balance, infrastructure	#4ECDC4
MINUS	-1	Verification, validation, analysis	#45B7D1

Skill Categories

PLUS Skills (+1)

```
gay-mcp
```
- Deterministic color generation with SplitMix64
```
triad-interleave
```
- Balanced schedule interleaving
```
world-hopping
```
- Badiou-inspired world navigation
```
crdt-vterm
```
- Collaborative terminal sharing
```
agent-o-rama
```
- Learning and pattern extraction

ERGODIC Skills (0)

```
skill-dispatch
```
- GF(3) triadic task routing
```
unwiring-arena
```
- Autopoietic closure
```
acsets-algebraic-databases
```
- Category-theoretic data
```
autopoiesis
```
- Self-modifying agent configuration
```
cognitive-surrogate
```
- Cognitive modeling
```
entropy-sequencer
```
- Information gain optimization

MINUS Skills (-1)

```
bisimulation-game
```
- Attacker/Defender verification
```
spi-parallel-verify
```
- Strong Parallelism Invariance
```
bafishka
```
- Shell operations verification
```
influence-propagation
```
- Network analysis

Mathematical Foundation

The bicomodule framework:

c (Control/Semantics)     ← High-level reasoning
↕ σ (effect handler)
m (Interface/State)       ← Middle layer  
↕ ε (counit), δ (comult)
d (Data/Matter)           ← Low-level execution

Key law: ε ∘ δ = id  (interpretability criterion)

Usage

Install via Claude Code marketplace:

claude plugin marketplace add plurigrid/asi
claude plugin install plurigrid@asi

Strong Parallelism Invariance (SPI)

Canonical seed:

0xf061ebbc2ca74d78

Same seed produces identical sequences across all implementations (15+ languages verified).