How do I install the Universal Captp Derivation skill?

Run npx skillmds@latest add tomevault-io/universal-captp-derivation in your terminal (requires Node.js), paste this page's agent-chat prompt into Claude, Cursor, or any MCP-connected agent, or download the SKILL.md file and copy it into your agent's skills directory.

What does the Universal Captp Derivation skill do?

Universal CapTP Derivation Skill Use when this capability is needed. It is listed under Coding & Dev Tools on SkillMD.

Is Universal Captp Derivation safe to use?

This skill has not completed SkillMD's automated safety review yet. Independent scanners report: SkillSpector: PASS, Skill Scanner: PASS. SkillMD never runs a skill's scripts for you; review the SKILL.md before installing.

Which AI agents work with Universal Captp Derivation?

This skill is tagged as working with Claude Code, Claude.ai, OpenAI Codex. SKILL.md is an open format, so most agents that read a skills directory can load it too.

Is Universal Captp Derivation free to use?

Yes. Installing skills from SkillMD is free, and the skill stays under its author's original license.

Who published Universal Captp Derivation?

tomevault-io (@tomevault-io) published this skill. Their other Agent Skills are listed on their SkillMD profile.

Universal Captp Derivation by tomevault-io

Name: Universal Captp Derivation
Author: tomevault-io

File contents

Universal CapTP Derivation Skill

Traces capability derivation chains through 3×3 expert poset with GF(3) conservation.

Core Principle

A capability IS the (seed, index) tuple. Expertise IS the trit alignment.

3×3 Expert Poset Structure

Layer	Validator (-1)	Coordinator (0)	Generator (+1)	Domain
1	Jules Hedges	John Baez	Fabrizio Genovese	categorical-games
2	David Egolf	Mike Shulman	sarahzrf	sheaf-theory
3	Betweenness	Mantissa	ModalNoah	neural-categorical

Derivation Chains

capability(-1) → vat(0) → invoke(+1)     [spawn-lifecycle]
membrane(-1)   → netlayer(0) → lambda(+1) [invoke-path]
handoff(-1)    → syrup(0) → sturdy_ref(+1) [transfer-path]
revoke(-1)     → promise(0) → goblin(+1)   [revoke-path]

Superposition States

Each capability exists in superposition across expert domains:

generator-dominant: Red channel highest (trit=+1)
coordinator-dominant: Green channel highest (trit=0)
validator-dominant: Blue channel highest (trit=-1)
superposed: Balanced RGB

GF(3) Conservation

Term Σ + Expert Σ ≡ 0 (mod 3)

Current state: COHERENT (residue = 0)

Commands

# Trace derivation chains
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM derivation_chains').df())"

# View expert triads
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM expert_triads').df())"

# Query NOW superposition
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM now_superposition').df())"

# Universal skill derivation
python3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM universal_skill_derivation LIMIT 20').df())"

Integration Points

Database	Table/View	Purpose
culture_evolution.duckdb	derivation_chains	CapTP flow traces
culture_evolution.duckdb	expert_triads	3×3 expert poset
culture_evolution.duckdb	capability_poset	Lattice structure
culture_evolution.duckdb	now_superposition	Current state
culture_evolution.duckdb	universal_skill_derivation	Full matrix
gh_interactome.duckdb	captp_third_party_contributions	Contributor mapping

Key Files

lib/culture_alter.rb - Stigmergic evolution
lib/color_capability.rb - CapTP goblin swarm
lib/interactome_open_games.rb - Expert triads
scripts/culture_games.rb - Culture × Open Games

Trit Assignments

Trit	Role	Color Channel	Experts
-1	Validator	Blue	Hedges, Egolf, Betweenness
0	Coordinator	Green	Baez, Shulman, Mantissa
+1	Generator	Red	Genovese, sarahzrf, ModalNoah

Converted and distributed by TomeVault — claim your Tome and manage your conversions.

---name: universal-captp-derivationdescription: Universal CapTP Derivation Skill Use when this capability is needed.---# Universal CapTP Derivation SkillTraces capability derivation chains through 3×3 expert poset with GF(3) conservation.## Core Principle> **A capability IS the (seed, index) tuple. Expertise IS the trit alignment.**## 3×3 Expert Poset Structure| Layer | Validator (-1) | Coordinator (0) | Generator (+1) | Domain ||-------|----------------|-----------------|----------------|--------|| 1 | Jules Hedges | John Baez | Fabrizio Genovese | categorical-games || 2 | David Egolf | Mike Shulman | sarahzrf | sheaf-theory || 3 | Betweenness | Mantissa | ModalNoah | neural-categorical |## Derivation Chains```capability(-1) → vat(0) → invoke(+1) [spawn-lifecycle]membrane(-1) → netlayer(0) → lambda(+1) [invoke-path]handoff(-1) → syrup(0) → sturdy_ref(+1) [transfer-path]revoke(-1) → promise(0) → goblin(+1) [revoke-path]```## Superposition StatesEach capability exists in superposition across expert domains:- **generator-dominant**: Red channel highest (trit=+1)- **coordinator-dominant**: Green channel highest (trit=0)- **validator-dominant**: Blue channel highest (trit=-1)- **superposed**: Balanced RGB## GF(3) Conservation```Term Σ + Expert Σ ≡ 0 (mod 3)```Current state: **COHERENT** (residue = 0)## Commands```bash# Trace derivation chainspython3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM derivation_chains').df())"# View expert triadspython3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM expert_triads').df())"# Query NOW superpositionpython3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM now_superposition').df())"# Universal skill derivationpython3 -c "import duckdb; c=duckdb.connect('culture_evolution.duckdb'); print(c.execute('SELECT * FROM universal_skill_derivation LIMIT 20').df())"```## Integration Points| Database | Table/View | Purpose ||----------|------------|---------|| culture_evolution.duckdb | derivation_chains | CapTP flow traces || culture_evolution.duckdb | expert_triads | 3×3 expert poset || culture_evolution.duckdb | capability_poset | Lattice structure || culture_evolution.duckdb | now_superposition | Current state || culture_evolution.duckdb | universal_skill_derivation | Full matrix || gh_interactome.duckdb | captp_third_party_contributions | Contributor mapping |## Key Files- [lib/culture_alter.rb](../../lib/culture_alter.rb) - Stigmergic evolution- [lib/color_capability.rb](../../lib/color_capability.rb) - CapTP goblin swarm- [lib/interactome_open_games.rb](../../lib/interactome_open_games.rb) - Expert triads- [scripts/culture_games.rb](../../scripts/culture_games.rb) - Culture × Open Games## Trit Assignments| Trit | Role | Color Channel | Experts ||------|------|---------------|---------|| -1 | Validator | Blue | Hedges, Egolf, Betweenness || 0 | Coordinator | Green | Baez, Shulman, Mantissa || +1 | Generator | Red | Genovese, sarahzrf, ModalNoah |---> Converted and distributed by [TomeVault](https://tomevault.io/claim/plurigrid) — claim your Tome and manage your conversions.

Frequently asked questions

Universal Captp Derivation