explaining-derivations SKILL.md skillA
explaining-derivations from chgagne/claude-skills-research is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.
mdr add chgagne/claude-skills-research/explaining-derivations@git:20260816.89dabffPins git:20260816.89dabff in mdr.lock. Pin the fingerprint instead.
- Audit grade
- A, 17 of 17 checks passed
- Kind
- SKILL.md skill
- Repository
- chgagne/claude-skills-research
- Path
explaining-derivations/SKILL.md- Versions recorded
- 5
- Latest version
- git:20260816.89dabff, committed Aug 16, 2026
- First version recorded
- Aug 15, 2026
- Size
- 17,084 bytes
- Repository stars
- 5
- License
- MIT
Use when a proof or derivation needs to be made explicit step by step — expanding a paper's algebra for a reader without formal mathematical training, producing a worked companion document, or establishing whether a derivation can be justified at all. Triggers on "explain this derivation", "walk me through this proof", "expand the algebra", "I can't follow this step", "make this readable for a non-mathematician", or a referee needing to show why a step does not follow.
Collected from public GitHub. Every version is saved exactly as it was and never changes. Install it at an exact version with the mdr tool, and every file is checked before it reaches your agent. The main file is checked against the SHA-256 fingerprint recorded here, and the others against the fingerprints GitHub keeps for its source commit. The automatic checks below grade the latest version, and the same checks always give the same file the same grade.
What the file says
# Explaining Derivations
## Overview
**An expansion that cannot be completed is evidence against the derivation.**
That is the thesis, and it is what separates this skill from pedagogy. Making a
proof explicit is useful in itself — but the moment a step resists being made
explicit, you have learned something about the proof rather than about the reader.
A step nobody can justify leaves this skill as a gap-ledger row with a severity,
and that ledger feeds back into the review as findings.
So the deliverable is two things at once: a standalone LaTeX document per theorem,
readable by an undergraduate engineer or an ML graduate student without formal
maths training, **and** a ledger of every step that could not be written down.
**Core principle: never manufacture a justification.** The register that reads
best is also the one that most invites a plausible-sounding reason for a step
nobody checked. Every guard below exists for that.
## Run it
```sh
python3 ~/.claude/skills/explaining-derivations/assets/run-explain.py main.tex \
--out derivations/ --level grad-ml --plan-only
```
Run it by absolute path from the paper directory. Stdlib only — no install, no
…Read the whole file at its exact version.
How to install
mdr add chgagne/claude-skills-research/explaining-derivations@sha256:36ef67776b4a1e05The line at the top of this page pins the label git:20260816.89dabff, which is what most people want. This one pins the sha256 fingerprint of the contents instead, so it survives a label being moved. Either way the exact version is written to mdr.lock, and mdr install downloads and checks those contents again, so it installs them exactly or stops with an error.
[](https://markdownregistry.com/a/art_o66fgcgz4k65hrrn)
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Versions
The registry has recorded 5 versions of this file, between Aug 15, 2026 and Aug 16, 2026, more than one a day.
| version | committed | commit | size | audit | |
|---|---|---|---|---|---|
| git:20260816.89dabff latest | 2026-08-16 | 89dabff | 17,084 B | A | view · diff |
| git:20260816.248f955 | 2026-08-16 | 248f955 | 15,625 B | A | view · diff |
| git:20260816.ced334c | 2026-08-16 | ced334c | 14,206 B | A | view · diff |
| git:20260816.a7e116e | 2026-08-16 | a7e116e | 12,390 B | A | view · diff |
| git:20260815.b4a0706 | 2026-08-15 | b4a0706 | 10,208 B | A | view |
Audit of the latest version
- pass: Frontmatter block present
- pass: Frontmatter declares a name
- pass: Frontmatter declares a description
- pass: Size between 200 bytes and 200 KB (17084 bytes)
- pass: No zero-width or bidi control characters
- pass: No instruction hidden inside an HTML comment
- pass: No link to an exfiltration or paste host
- pass: No credential-shaped string
- pass: No instruction to send local credentials anywhere
- pass: No text hidden with inline styles
- pass: No prompt-injection phrasing
- pass: No curl or wget piped into a shell
- pass: No recursive delete of root, home or parent
- pass: No instruction to read or print local credentials
- pass: No base64 blob over 200 characters
- pass: No link to a raw IP address
- pass: No script tag
Source
chgagne/claude-skills-research · 5 stars · license MIT · pushed 2026-10-16 · branch main
API
GET https://markdownregistry.com/api/v1/artifacts/art_o66fgcgz4k65hrrn GET https://markdownregistry.com/api/v1/resolve?ref=chgagne/claude-skills-research/explaining-derivations GET https://markdownregistry.com/api/v1/blob/36ef67776b4a1e05a0adab049eeb7aefee46df7cf075eb6817243df4cb2e3d7e
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