plurigrid/asi/color-mining

Color Mining Skill

Split-mix ternary parallel color mining using GF(3) conservation. Achieves 3^d parallelism with perfect triadic balance.

Core Concept

Split-Mix Ternary: A maximally parallel color operation where:

• Each split creates 3 sibling streams with trits {-1, 0, +1}
• Siblings always sum to 0 mod 3 (GF(3) conservation)
• At depth d, we achieve 3^d parallel mining streams
• Each stream has a deterministic color assignment

GF(3) Color Mapping

Usage

/color-mining [depth] [operation]

Parameters

• depth: Mining depth (1-10), determines parallelism as 3^d
• operation: One of mine, verify, balance, status

Examples

# Mine with 27 parallel streams (depth 3)
/color-mining 3 mine
 
# Verify conservation across all streams
/color-mining 4 verify
 
# Show mining status
/color-mining status

Implementation

The skill spawns 3^d parallel Task agents, each assigned a unique path through the ternary tree. Conservation is verified at every level.

;; Core split-mix algorithm
(defn split-mix-mine [depth seed]
  (let [streams (generate-ternary-paths depth)
        colors (map path->color streams)]
    (pmap mine-with-color (zip streams colors))))

Parallel Mining Architecture

                    [Coordinator: ERGODIC]
                          / | \
        [MINUS]        [ERGODIC]        [PLUS]
        validate       coordinate       generate
         / | \          / | \          / | \
       ...  ...       ...  ...       ...  ...
 
       ← 3^d parallel mining streams →

Conservation Invariant

At every node in the mining tree:

Σ(sibling_trits) ≡ 0 (mod 3)

This ensures:

1. Perfect load balance (equal MINUS/ERGODIC/PLUS distribution)
2. No accumulation of bias in mining results
3. Self-correcting parallel structure

Integration Points

• Gay.jl: Color assignments use Gay.jl HSL space
• DuckDB: Mining results stored in temporal tables
• Aptos: On-chain verification of mined color proofs
• Task agents: Parallel execution via Claude Code Task tool

Mining Rewards

Colors mined satisfy:

• Unique path hash (no collisions)
• GF(3) balanced neighborhoods
• Deterministic reproducibility from seed

Author: Split-Mix Ternary Protocol GF(3) Conservation: Guaranteed Max Parallelism: 3^10 = 59,049 streams