Plurigrid ASI - gay branch

<<<<<<< HEAD SplitMixTernary: GF(3)-balanced splittable random streams extending SplittableRandoms.jl.

Purpose

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Homebrew for AI agent skills.
Universal Skills installer for any agent that follows the open standard spec

>>>>>>> origin/feature/skill-connectivity-hub-20251226

This branch focuses on ternary extensions to splittable random number generation:

1. SplitMixTernary algorithm - Three parallel streams with GF(3) conservation
2. Extension proposal for SplittableRandoms.jl - split3() API
3. Verified properties - Dafny + Narya proofs

Core Algorithm

# Three streams from one seed
const STREAM_MINUS   = 0x243f6a8885a308d3  # π
const STREAM_ERGODIC = 0xb7e151628aed2a6a  # e  
const STREAM_PLUS    = 0x452821e638d01377  # √2

function split3(seed::UInt64)
    base = splitmix64(seed)
    (
        splitmix64(base ⊻ STREAM_MINUS),   # -1 stream
        splitmix64(base ⊻ STREAM_ERGODIC), #  0 stream
        splitmix64(base ⊻ STREAM_PLUS)     # +1 stream
    )
end

Skill Triads

SplitMixTernary Triad

Skill	Trit	Description
splitmix-ternary	0	Core ternary RNG algorithm
spi-parallel-verify	-1	Verification tooling
triad-interleave	+1	Stream interleaving

Sum: 0 ✓ GF(3) conserved

BB(6) Oracle Triad

Skill	Trit	Description
busy-beaver-oracle	+1	Generate BB(n) lower bound proofs
levin-levity	0	Nash equilibrium + WEV
prediction-market-oracle	-1	Market-making

Sum: 0 ✓ GF(3) conserved

Skills

Skill	Origin	Description
splitmix-ternary	new	SplittableRandoms.jl extension
unison-acset	PR #36	ACSet-structured docs, seed 1069
markov-game-acset	PR #34	Markov games with derangement
rama-gay-zig	PR #37	Gay.jl + Rama + Zig triad
levin-levity	original	Levin search + WEV extraction
autopoiesis	original	Self-modifying config
open-games	original	Compositional game theory
bisimulation-game	original	Skill dispersal
world-hopping	original	Possible world navigation

SplitMix64 Constants

GOLDEN = 0x9e3779b97f4a7c15
MIX1   = 0xbf58476d1ce4e5b9
MIX2   = 0x94d049bb133111eb
SEED   = 0x42D (1069)

Verified Properties

Property	Dafny	Narya
Determinism	✅ SplitMixTernary.dfy	✅ spi_conservation.ny
Path invariance	✅	—
GF(3) conservation	✅	✅ gf3.ny
Reafference closure	✅ GayMcpCriticalProofs.dfy	✅

SplittableRandoms.jl Extension Proposal

# Proposed additions to SplittableRandoms.jl

struct SplittableRandom3
    minus::SplittableRandom
    ergodic::SplittableRandom
    plus::SplittableRandom
end

split3(rng::SplittableRandom)::SplittableRandom3
trit(sr3::SplittableRandom3)::Int  # -1, 0, or +1
rand_trit(sr3::SplittableRandom3)::Symbol

Installation

git clone https://github.com/plurigrid/asi -b gay
cd asi
amp skill splitmix-ternary

Related

• Gay.jl - Reference implementation
• SplittableRandoms.jl - Base library
• Pigeons.jl - SPI inspiration

License

Apache-2.0

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<<<<<<< HEAD "In the ternary splitting, the colors find their balance."

Quick Start

# Browse skills interactively
npx ai-agent-skills browse

# Install from our curated catalog
npx ai-agent-skills install frontend-design

# Install for specific agents
npx ai-agent-skills install frontend-design --agent cursor
npx ai-agent-skills install frontend-design --agent codex
npx ai-agent-skills install frontend-design --agent amp

# Install from any GitHub repo
npx ai-agent-skills install anthropics/skills
npx ai-agent-skills install anthropics/skills/pdf    # specific skill

# Install from local path
npx ai-agent-skills install ./my-custom-skill

That's it. The skill installs to the right location for your agent automatically.

Why This Exists

Every major AI coding agent now supports skills. But they're scattered everywhere.

This repo curates the best in one place. Quality over quantity. All skills follow the Agent Skills spec.

Compatible Agents

Works with Claude Code, Cursor, Amp, VS Code, GitHub Copilot, Goose, Letta, OpenCode, and Claude.ai.

Available Skills

Development

Skill	Description
frontend-design	Production-grade UI components and styling
mcp-builder	Create MCP servers for agent tool integrations
skill-creator	Guide for creating new agent skills
code-review	Automated PR review patterns
code-refactoring	Systematic code improvement techniques
backend-development	APIs, databases, server architecture
python-development	Modern Python 3.12+ patterns
javascript-typescript	ES6+, Node, React, TypeScript
webapp-testing	Browser automation and testing with Playwright
database-design	Schema design and optimization
llm-application-dev	Build LLM-powered applications
artifacts-builder	Interactive React/Tailwind web components
changelog-generator	Generate changelogs from git commits

Documents

Skill	Description
pdf	Extract, create, merge, split PDFs
xlsx	Excel creation, formulas, data analysis
docx	Word documents with formatting
pptx	PowerPoint presentations

Creative

Skill	Description
canvas-design	Visual art and poster creation
algorithmic-art	Generative art with p5.js
image-enhancer	Improve image quality and resolution
slack-gif-creator	Create animated GIFs for Slack
theme-factory	Professional font and color themes
video-downloader	Download videos from various platforms

Business

Skill	Description
brand-guidelines	Apply brand colors and typography
internal-comms	Status updates and team communication
competitive-ads-extractor	Analyze competitor ad strategies
domain-name-brainstormer	Generate and check domain availability
lead-research-assistant	Identify and qualify leads

Productivity

Skill	Description
doc-coauthoring	Co-author docs, proposals, specs with structured workflow
job-application	Cover letters and applications using your CV
qa-regression	Automated regression testing with Playwright
code-documentation	Generate docs from code
content-research-writer	Research and write content with citations
developer-growth-analysis	Track developer growth metrics
file-organizer	Organize files and find duplicates
invoice-organizer	Organize invoices for tax prep
meeting-insights-analyzer	Analyze meeting transcripts
raffle-winner-picker	Randomly select contest winners

Commands

# Interactive browser (TUI)
npx ai-agent-skills browse

# List all available skills
npx ai-agent-skills list
npx ai-agent-skills list --category development
npx ai-agent-skills list --installed --agent cursor

# Install from catalog, GitHub, or local path
npx ai-agent-skills install <name>                    # from catalog
npx ai-agent-skills install <owner/repo>              # from GitHub
npx ai-agent-skills install <owner/repo/skill>        # specific skill from GitHub
npx ai-agent-skills install ./path                    # from local path
npx ai-agent-skills install <name> --agent cursor     # for specific agent
npx ai-agent-skills install <name> --dry-run          # preview only

# Manage installed skills
npx ai-agent-skills uninstall <name>
npx ai-agent-skills update <name>
npx ai-agent-skills update --all

# Discovery
npx ai-agent-skills search <query>
npx ai-agent-skills info <name>

# Configuration
npx ai-agent-skills config --default-agent cursor

Supported Agents

Agent	Flag	Install Location
Claude Code	--agent claude (default)	~/.claude/skills/
Cursor	--agent cursor	.cursor/skills/
Amp	--agent amp	~/.amp/skills/
VS Code / Copilot	--agent vscode	.github/skills/
Goose	--agent goose	~/.config/goose/skills/
OpenCode	--agent opencode	~/.opencode/skills/
Codex	--agent codex	~/.codex/skills/
Letta	--agent letta	~/.letta/skills/
Portable	--agent project	.skills/ (works with any agent)

Manual Install

# Clone the repo
git clone https://github.com/skillcreatorai/Ai-Agent-Skills.git

# Copy a skill to your skills directory
cp -r Ai-Agent-Skills/skills/pdf ~/.claude/skills/

Create Your Own

1. Build manually: Follow the Agent Skills spec

What Are Agent Skills?

An open standard from Anthropic for extending AI agents. A skill is just a folder:

my-skill/
├── SKILL.md       # Instructions + metadata
├── scripts/       # Optional code
└── references/    # Optional docs

All major AI coding tools support this format.

Contributing

1. Fork this repo
2. Add your skill to /skills/<name>/
3. Ensure SKILL.md follows the spec
4. Update skills.json
5. Submit PR

We review all contributions for quality and spec compliance.

Links

• Agent Skills Spec - Official format documentation
• Browse Skills - Visual skill gallery with one-click install
• Create Skills - Generate skills (waitlist)
• Anthropic Skills - Official example skills

See Also

openskills - another universal skills loader that inspired parts of this project (created pre the open agent skills standard) & Requires global install, AGENTS.md sync, and Bash calls. Great for flexibility.

ai-agent-skills - Just npx, installs to native agent folders. Homebrew for skills.

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Credits & Attribution

This repository builds upon and curates skills from the open-source community:

• Anthropic Skills - Official example skills from Anthropic that established the Agent Skills specification
• ComposioHQ Awesome Claude Skills - Curated community skills from the Composio ecosystem
• wshobson/agents - Development skills inspired by their plugin marketplace patterns

We believe in open source and giving credit where it's due. If you see your work here and want additional attribution, open an issue.

Community

• Follow @skillcreatorai for updates
• Open an issue for bugs or requests
• Read CONTRIBUTING.md to add skills

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_{Built with care by SkillCreator.ai}

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