Borrowing it
Nothing to install: this file belongs to vantasnerdan/substrate-framework. 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/vantasnerdan/substrate-framework/main/.agents/skills/physics-erdos-loop/SKILL.mdgit clone --depth 1 https://github.com/vantasnerdan/substrate-frameworkWrote 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/vantasnerdan/substrate-framework/physics-erdos-loop)<a href="https://agentmods.dev/skills/vantasnerdan/substrate-framework/physics-erdos-loop"><img src="https://agentmods.dev/badge/skills/vantasnerdan/substrate-framework/physics-erdos-loop/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/vantasnerdan/substrate-framework/physics-erdos-loop"><img src="https://agentmods.dev/badge/skills/vantasnerdan/substrate-framework/physics-erdos-loop.svg" alt="Reviewed on agentmods" width="80" 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 | $0.00078 | $0.02498 |
| Opus 5.5 | $0.00031 | $0.00999 |
| Sonnet 5.5 | $0.00016 | $0.00500 |
| Haiku 4.5 | $0.00008 | $0.00250 |
Grade A, and why
physics-erdos-loop 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 1mo 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 — 205 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Physics Erdős Loop
The elite outcome is the requested positive object, promoted with its real
dependency closure. Bank useful route results, then pursue the next construction.
A tally, a smaller question, or a polished obstruction earns only the scientific
progress it actually supplies. Apply the reward, supervision, continuation,
authority, ten-achievement, and terminal-PR contract in AGENTS.md; this skill
adds the execution details rather than duplicating that contract.
Load the decision-changing references
- Load
../physics-discovery/SKILL.mdbefore choosing an open mechanism or constructing a replacement route; it owns focused briefs, analogies and generation methods. Fixed proofs and routine checks can proceed directly. - Read governance.md for claim, convention, invariant, release, or canonical-API changes.
- Read oracles.md when selecting or auditing verification.
- Read problem-deconstruction.md before freezing a multi-rung campaign or a representation of an object, ensemble, localization, mode, stability, force, or interaction.
- Load
small-ratio-numerics/SKILL.mdbefore designing or replaying soft eigenvalue, Morse-index, stability-edge, force, or splitting measurements within roughly three orders of the numerical floor, including reused code. Record applicable error-budget, zero-mode, eigenpair, lambda_min/lambda_2, observed-order, and jitter prescriptions as measured, bounded, or explicitly unresolved below the floor. - Load
theorem-synthesis/SKILL.mdfor higher claims composed from accepted atoms; reground periodically during long synthesis work.
Achievement 1 — a sourced, consequential target
Read AGENTS.md, current release, relevant registry claims and source modules;
inspect git history/status, generated state, and uncommitted ownership. Search
memory, then verify every reused fact at source:
memory search "<topic>" --base "$PWD/memory"
memory grep "<symbol>" --base "$PWD/memory"
memory validate --base "$PWD" "$PWD/memory"
.agents/skills/physics-erdos-loop/scripts/preflight.sh
What ships with it
8 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.
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.
- 1mo ago Changed · +10 lines efa6d07ba8ec
- 1mo ago Changed · -184 lines · -31 tokens per session 0c27069840fb
- 1mo ago Changed · +50 lines 960af2330830
- 2mo ago First seen · 329 lines · 109 tokens per session scan A d7ad2e626cf8
physics-erdos-loop is a skill published in the GitHub repository vantasnerdan/substrate-framework (5 stars, last pushed 11d ago), licensed Apache-2.0. It adds 78 tokens to every session and 2,498 once invoked, about $0.0003 per session on Opus 5.5. 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 2026-08-31.
Other skills, from other repositories
instrument-data-to-allotrope
Convert laboratory instrument output files (PDF, CSV, Excel, TXT) to Allotrope Simple Model (ASM) JSON format or flattened 2D CSV. Use this skill when scientists need to standardize instrument data for LIMS systems, data lakes, or downstream analysis. Supports auto-detection of instrument types. Outputs include full…
matlab
Builds, reviews, migrates, and plans MATLAB or GNU Octave numerical workflows. Use for arrays, tabular/time data, tests, projects, graphics, MAT files, and explicit Python interoperability.
exploratory-data-analysis
Performs bounded, local exploratory analysis of explicitly supported scientific files. Supports redacted CSV/TSV/JSON profiles; optional NumPy, HDF5, FASTA/FASTQ, and basic image metadata inspection; missingness/leakage audits; outlier and transformation sensitivity; and rigorous EDA report scaffolds. Other domain…
phylogenetics
Builds and analyzes phylogenetic trees using MAFFT multiple sequence alignment, IQ-TREE maximum likelihood with ModelFinder and branch support, and FastTree approximate inference. Uses ETE3 for tree summaries and visualization. Applies to homologous nucleotide or protein sequences, microbial gene trees, protein…
research-engineer
An uncompromising Academic Research Engineer. Operates with absolute scientific rigor, objective criticism, and zero flair. Focuses on theoretical correctness, formal verification, and optimal implementation across any required technology.
presenting-conference-talks
Generates conference presentation slides (Beamer LaTeX PDF and editable PPTX) from a compiled paper with speaker notes and talk script. Use when preparing oral talks, spotlight presentations, or invited talks for ML and systems conferences.