Getting it into your agent
One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.
npx skills add plurigrid/asi --skill oapply-colimitgit clone --depth 1 https://github.com/plurigrid/asiWrote this? Show the measurements
A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.
[](https://agentmods.dev/skills/plurigrid/asi/oapply-colimit)<a href="https://agentmods.dev/skills/plurigrid/asi/oapply-colimit"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/oapply-colimit.svg" alt="Measured on agentmods" height="20"></a>What it costs to keep this loaded
Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00023 | $0.00397 |
| Opus 5 | $0.00012 | $0.00198 |
| Sonnet 5 | $0.00005 | $0.00079 |
| Haiku 4.5 | $0.00002 | $0.00040 |
Grade A, and why
oapply-colimit scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 7d ago.
A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.
Nothing flagged
None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.
What it actually says
oapply-colimit Skill
Core Pattern
oapply computes colimit of component diagram over wiring pattern:
using AlgebraicDynamics
# Pattern + components → composite
composite = oapply(wiring_diagram, [machine1, machine2, ...])
Two Composition Modes
| Mode | Type | Gluing | Example |
|---|---|---|---|
| Undirected | ResourceSharer | Pushout (shared state) | Lotka-Volterra |
| Directed | Machine | Wiring (signal flow) | Control systems |
Implementation
function oapply(d::UndirectedWiringDiagram, xs::Vector{ResourceSharer})
# 1. Coproduct of state spaces
S = coproduct((FinSet ∘ nstates).(xs))
# 2. Pushout identifies shared variables
S′ = pushout(portmap, junctions)
# 3. Induced dynamics sum at junctions
return ResourceSharer(induced_interface, induced_dynamics)
end
GF(3) Triads
schema-validation (-1) ⊗ acsets (0) ⊗ oapply-colimit (+1) = 0 ✓
interval-presheaf (-1) ⊗ algebraic-dynamics (0) ⊗ oapply-colimit (+1) = 0 ✓
References
- Libkind "An Algebra of Resource Sharers" arXiv:2007.14442
- AlgebraicJulia/AlgebraicDynamics.jl
What this file has done since we first saw it
Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.
- 7d ago First seen · 55 lines · 23 tokens per session scan A 97be802f358f
oapply-colimit is a skill published in the GitHub repository plurigrid/asi (62 stars, last pushed 2mo ago), licensed MIT. It adds 23 tokens to every session and 397 once invoked, about $0.0001 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-01.
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