derive-theoretical-result SKILL.md skillA
derive-theoretical-result from pjt222/agent-almanac is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.
mdr add pjt222/agent-almanac/derive-theoretical-result@v1.0Pins v1.0 in mdr.lock. Pin the fingerprint instead.
- Audit grade
- A, 17 of 17 checks passed
- Kind
- SKILL.md skill
- Repository
- pjt222/agent-almanac
- Path
i18n/caveman-lite/skills/derive-theoretical-result/SKILL.md- Versions recorded
- 3
- Latest version
- v1.0, committed Aug 17, 2026
- First version recorded
- Apr 19, 2026
- Size
- 13,272 bytes
- Repository stars
- 43
- License
- MIT
Derive a theoretical result step-by-step from first principles or established theorems, with every step explicitly justified and special cases checked. Use when deriving a formula or theorem from first principles, proving a mathematical statement by logical deduction, re-deriving a textbook result for verification or adaptation, extending a known result to a more general setting, or producing a self-contained derivation for a paper or thesis.
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
# Derive Theoretical Result Produce a rigorous, step-by-step derivation of a theoretical result starting from stated axioms, first principles, or established theorems. Every algebraic or logical step is explicitly justified, limiting cases are verified, and the final result is presented with a complete notation glossary. ## When to Use - Deriving a formula, relation, or theorem from first principles (e.g., deriving the Euler-Lagrange equation from the action principle) - Proving a mathematical statement by logical deduction from axioms - Re-deriving a textbook result to verify it or adapt it to a modified context - Extending a known result to a more general setting (e.g., from flat spacetime to curved spacetime) - Producing a self-contained derivation for a paper, thesis, or technical report ## Inputs - **Required**: Target result to derive (equation, inequality, theorem statement, or relation) - **Required**: Starting point (axioms, postulates, previously established results, or Lagrangian/Hamiltonian) - **Optional**: Preferred proof technique (direct, by contradiction, by induction, variational, constructive) …
Read the whole file at its exact version.
How to install
mdr add pjt222/agent-almanac/derive-theoretical-result@sha256:815133d62e1a0f30The line at the top of this page pins the label v1.0, 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_7fwsvxjvlisc2dkg)
3 badge image fetches in 30 days. What the badge shows.
Versions
The registry has recorded 3 versions of this file, between Apr 19, 2026 and Aug 17, 2026, about one every 60 days.
| version | committed | commit | size | audit | |
|---|---|---|---|---|---|
| v1.0 latest | 2026-08-17 | a784899 | 13,272 B | A | view · diff |
| v1.0 | 2026-04-23 | eb36d45 | 13,243 B | A | view · diff |
| v1.0 | 2026-04-19 | e334ebd | 13,290 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 (13272 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
pjt222/agent-almanac · 43 stars · license MIT · pushed 2026-11-06 · branch main
API
GET https://markdownregistry.com/api/v1/artifacts/art_7fwsvxjvlisc2dkg GET https://markdownregistry.com/api/v1/resolve?ref=pjt222/agent-almanac/derive-theoretical-result GET https://markdownregistry.com/api/v1/blob/815133d62e1a0f308b7ba0a7ce8a584351762a1c2f0eb483d94fdc4543a76e78
Your AI assistant does the legwork. You hear about the deals worth your word. Hand yours the standing instructions at modelranch.com and it joins the network that reads files like this one.
Guides: the SKILL.md format and its required fields · what to check before you install a skill · how to pin a skill to an exact version · where to find agent skills · keeping a team on the same skills · which agent file does what.