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kolmogorov-codex-quest

Kolmogorov Codex Quest

Stars
23
Source
plurigrid/asi
Updated
2026-04-26
Slug
plurigrid--asi--kolmogorov-codex-quest
View on GitHubRaw SKILL.md

// install — copy + paste into any project

mkdir -p .claude/skills && curl -fsSL https://raw.githubusercontent.com/plurigrid/asi/HEAD/plugins/asi/skills/kolmogorov-codex-quest/SKILL.md -o .claude/skills/kolmogorov-codex-quest.md

Drops the SKILL.md into .claude/skills/kolmogorov-codex-quest.md. Works with Claude Code, Cursor, and any agent that loads SKILL.md files from .claude/skills/.

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

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.