Kolmogorov Codex Quest

---
name: kolmogorov-codex-quest
description: Kolmogorov Codex Quest
version: 1.0.0
---

# Kolmogorov Codex Quest

**Type:** Quest / Puzzle  
**Bounty:** 2 APT  
**Status:** Active  
**Chain:** Aptos Mainnet  

## Description

A cryptographic puzzle requiring solvers to prove they traversed the Plurigrid ASI skill lattice via four-layer identity verification.

## Identity Proof Requirements

| Layer | Description | Count |
|-------|-------------|-------|
| Wikidata | Q-items per world letter | 26 × 69 = 1794 |
| GayMCP | Interaction colors | GF(3) conserved |
| Skills | Minimum invoked | ≥ 6 |
| Worlds | Minimum visited | ≥ 6 |
| **Oracle** | ed25519 attestation | Required |

## Security Model

The contract uses **oracle attestation** to prevent spoofing:

1. Quest creator specifies a trusted oracle's ed25519 public key
2. Solver executes skills via Plurigrid ASI
3. Oracle monitors execution and signs attestation: `(solver, quest, proof_data, timestamp)`
4. Contract verifies oracle signature before releasing bounty
5. Attestations expire after 1 hour (replay protection)

## Invocation

```
/kolmogorov-codex-quest
```

## Skills Required

- `aptos-agent` - Blockchain interaction
- `gay-mcp` - GF(3) coloring
- `acsets-relational-thinking` - Wikidata schema
- `glass-bead-game` - World-hopping synthesis
- `bisimulation-game` - Identity proof verification
- `_integrated` - Unified ASI orchestration

## References

- Valeria Nikolaenko: Data Availability Sampling
- Lee Cronin: Assembly Theory
- Badiou: Triangle Inequality
- GF(3): Galois Field conservation

## Contract

See `sources/kolmogorov_codex_quest.move` for full implementation.

## Glass-Bead Synthesis

```
┌─────────────────────────────────────────────────────────────────┐
│                    IDENTITY PROOF LAYERS                        │
├─────────────────────────────────────────────────────────────────┤
│  WIKIDATA ──────▶ 26 letters × 69 Q-items = 1794 concepts      │
│  GAYMCP ────────▶ GF(3) colored interaction trace              │
│  SKILLS ────────▶ ≥6 Plurigrid ASI skills invoked              │
│  WORLDS ────────▶ ≥6 ~/worlds directories visited               │
└─────────────────────────────────────────────────────────────────┘
```



## Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

### Graph Theory
- **networkx** [○] via bicomodule
  - Universal graph hub

### Bibliography References

- `dynamical-systems`: 41 citations in bib.duckdb



## SDF Interleaving

This skill connects to **Software Design for Flexibility** (Hanson & Sussman, 2021):

### Primary Chapter: 10. Adventure Game Example

**Concepts**: autonomous agent, game, synthesis

### GF(3) Balanced Triad

```
kolmogorov-codex-quest (−) + SDF.Ch10 (+) + [balancer] (○) = 0
```

**Skill Trit**: -1 (MINUS - verification)

### Secondary Chapters

- Ch6: Layering

### Connection Pattern

Adventure games synthesize techniques. This skill integrates multiple patterns.
## Cat# Integration

This 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
```

### GF(3) Naturality

The skill participates in triads satisfying:
```
(-1) + (0) + (+1) ≡ 0 (mod 3)
```

This ensures compositional coherence in the Cat# equipment structure.