kolmogorov-codex-quest
Kolmogorov Codex Quest
When & Why to Use This Skill
The Kolmogorov Codex Quest is a sophisticated cryptographic puzzle and identity verification skill designed for the Plurigrid ASI ecosystem. It operates on the Aptos Mainnet, requiring solvers to prove their mastery of the skill lattice through a four-layer verification process. By integrating blockchain technology, oracle attestations, and advanced mathematical concepts like GF(3) conservation, this skill serves as a high-level benchmark for AI agent orchestration and cross-domain knowledge synthesis.
Use Cases
- Advanced Agent Evaluation: Challenging AI agents to demonstrate multi-skill orchestration by completing a complex quest involving blockchain interaction, graph theory, and relational thinking.
- On-Chain Identity Verification: Implementing secure, decentralized 'Proof of Skill' using ed25519 oracle attestations to verify that a user or agent has traversed specific digital environments.
- Scientific Knowledge Synthesis: Engaging in 'Glass-Bead Game' style puzzles that require the integration of Wikidata concepts, mathematical group theory, and automated reasoning.
- Blockchain Security Testing: Utilizing the Aptos-based contract and oracle model to practice secure execution and attestation of off-chain computations.
| 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:
- Quest creator specifies a trusted oracle's ed25519 public key
- Solver executes skills via Plurigrid ASI
- Oracle monitors execution and signs attestation:
(solver, quest, proof_data, timestamp) - Contract verifies oracle signature before releasing bounty
- Attestations expire after 1 hour (replay protection)
Invocation
/kolmogorov-codex-quest
Skills Required
aptos-agent- Blockchain interactiongay-mcp- GF(3) coloringacsets-relational-thinking- Wikidata schemaglass-bead-game- World-hopping synthesisbisimulation-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.