Borrowing it
Nothing to install: this file belongs to plurigrid/asi. Take a copy, put it at the same path in your own repository, and replace the rules that are about this project with yours.
curl -O https://raw.githubusercontent.com/plurigrid/asi/main/.claude/skills/wev-hodge-decomp/SKILL.mdgit 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/wev-hodge-decomp)<a href="https://agentmods.dev/skills/plurigrid/asi/wev-hodge-decomp"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/wev-hodge-decomp/github.svg" alt="Measured on agentmods" height="20"></a>Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.
<a href="https://agentmods.dev/skills/plurigrid/asi/wev-hodge-decomp"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/wev-hodge-decomp.svg" alt="Reviewed on agentmods" width="80" height="20"></a>- NVIDIA SkillSpector warn
SkillSpector: 1 finding, up to medium
These are SkillSpector’s own severities. On a checked sample its high-severity flags on skills were ~96% false positives — a documented command, a public API, a “never do X” rule — so we show them as a caution to read, not a verdict. Why →
- medium analysis-evasion · line 1 Suspicious Unicode normalization or mixed-script contentFix: Review the flagged content for security risks. Ensure no credentials, secrets, or sensitive data are exposed.
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 | $0.00000 | $0.02029 |
| Opus 5 | $0.00000 | $0.01014 |
| Sonnet 5 | $0.00000 | $0.00406 |
| Haiku 4.5 | $0.00000 | $0.00203 |
Grade A, and why
wev-hodge-decomp 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.
How it starts
The opening of the file, as written. The whole thing — 126 lines — stays where its author put it; the contents beside it link to each section on GitHub.
World Extractable Value via Pair-Graph Hodge Decomposition
Status: 🧪 Draft — K₃/K₄/K₅ verified Type: Discrete cohomology / optimal transport / market microstructure Principle: WEV = non-exactness of the world, measured in L^p over H₁ Frame: Antisymmetric 1-cochain on pair graph → Hodge splits into coboundary (potential) + harmonic (residue) GF(3)/GF(5): Both required — GF(3) collapses uniform-sign RPS cycles; GF(5) witnesses orientation-H¹
Core Construction
Given pair graph G = (V, E) observed at epoch t with signed 1-cochain α : E → ℝ satisfying α(i,j) = −α(j,i):
- Form incidence matrix
B : ℝ^|E| × ℝ^|V|,B[e=(u,v), u] = −1,B[e, v] = +1. - Solve normal equations
BᵀB φ = Bᵀα(Tikhonov-damped if graph has isolated components).L := BᵀBis the graph Laplacian on vertices. - Decompose
α = δφ* + harmonicwhereδφ*(e=(u,v)) = φ*(v) − φ*(u). WEV := ‖harmonic‖_p— edge-spacep-norm. Common choices:WEV_L¹= min trade volume to close harmonic under uniform cost per trade.WEV_L²= min trade energy under quadratic price-impact cost.
The coboundary part δφ* is explained by a vertex potential φ* — this is the Kantorovich dual / "type price" / clearing prices. The harmonic part is what no potential can explain — the extractable residue.
5-Instance Unification
Antisymmetric α required. Semantics splits into extractive (closure = transaction) vs diagnostic (observational):
| Layer | Vertex | α (edge signal) | WEV semantics |
|---|---|---|---|
| RPS / games | agent | regret-sign | gap-to-Nash |
| Hough MM harness | trader / MM | PnL-asymmetry | arb budget [extractive] |
| MEV | tx | ordering-regret | MEV bound [extractive] |
| Wardrop / Braess | road segment | travel-time-Δ | Braess cost [extractive] |
| MAC RF observer | device | sgn(RSSI_i − RSSI_j) |
flock evidence [diagnostic] |
| Passport sybil | address | sgn(first_stamp_t_i − t_j) under scorer C |
sybil evidence [diagnostic] |
| Face-patch fMRI | patch | partial-correlation precedence under stimulus | prosopagnosia index [diagnostic] |
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 · 126 lines · 0 tokens per session scan A 3386224baa1f
wev-hodge-decomp is a skill published in the GitHub repository plurigrid/asi (62 stars, last pushed 2mo ago), licensed MIT. It costs nothing until one of its globs matches a file; then it loads 2,029 tokens. 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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