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

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/kolmogorovcodexquest.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.