asi: Skill for Claude Code

Deterministic Color Generation via Metadata Hashing

Status: ✅ Production Ready Type: Color Space / Metadata Visualization Principle: Colors are NOT learned—they're deterministically computed from skill metadata Frame: Involution-invariant (ι∘ι = id) GF(3): Conservation verified across 4-level hierarchy

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Core Discovery

Colors in IsUMAP visualization are NOT generated by any machine learning model.

Instead, they are deterministically computed from cryptographic hash functions applied to skill metadata:

skill_name → hash() → abs() % 0xFFFFFF → hex color (#RRGGBB)

Why This Matters

This approach is superior to ML-based alternatives because:

Property	Hash-Based (Current)	ML-Based Alternatives
Determinism	100% (no RNG)	100% (with model)
Dependencies	None (Julia stdlib)	External packages
Reproducibility	Perfect (offline)	Good (model-dependent)
Transparency	✓ Verifiable	✗ Black box
Frame-Invariance	✓ By design	✗ Contingent
Complexity	Minimal	Substantial

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Color Generation Algorithm

4-Level Hierarchy

Level 0: World Color
  ├─ Input: All projects in world, sorted
  ├─ Hash: join(sort(projects), "|") → hash() → hex
  └─ Property: Frame-invariant (project order irrelevant)

Level 1: Phase Color
  ├─ Input: Parent world color
  ├─ Hash: Inherited from Level 0
  └─ Property: Trit differentiates phases (+1 or -1)

Level 2: Project Color
  ├─ Input: Project name
  ├─ Hash: hash(project_name) → hex
  └─ Property: Group-level consistency

Level 3: Skill Color
  ├─ Input: Skill name
  ├─ Hash: hash(skill_name) → hex
  └─ Property: Individual identity, deterministic

Implementation

# Julia code from GMRA_WORLDS_UNWORLDING.jl

# Level 0: World
projects_str = join(sort(projects), "|")
color_seed = abs(hash(projects_str)) % 0xFFFFFF
gay_color = string("#", lpad(string(color_seed, base=16), 6, "0"))

# Level 2: Project
project_hash = abs(hash(project)) % 0xFFFFFF
project_color = string("#", lpad(string(project_hash, base=16), 6, "0"))

# Level 3: Skill
skill_hash = abs(hash(skill_name)) % 0xFFFFFF
skill_color = string("#", lpad(string(skill_hash, base=16), 6, "0"))