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.