pjt222/agent-almanac · i18n/caveman-lite/skills/explore-diophantine-equations/SKILL.md

explore-diophantine-equations skillA

explore-diophantine-equations is agent-read markdown (skill) from pjt222/agent-almanac: Solve Diophantine equations (integer-only solutions) including linear, quadratic, and Pell equations. Covers the extended Euclidean algorithm, descent methods, and existence proofs. Use when finding all integer solutions to ax + by = c, solving Pell's equation, generating Pythagorean triples, proving no integer solutions exist via modular constraints, or finding the fundamental solution from which all others are generated..

Indexed from public GitHub and served as immutable, content-addressed versions. Install it pinned to an exact SHA-256 with the mdr CLI, and every file is verified against the hash recorded here before it reaches your agent. The deterministic audit below grades the latest version, and the same file always earns the same grade.

How to install

Latest version
mdr add pjt222/agent-almanac/explore-diophantine-equations@v1.0
Exact content
mdr add pjt222/agent-almanac/explore-diophantine-equations@sha256:a0a00381d1eb0e11

Pin to a label to follow the author's releases, or to a sha256 to freeze the exact bytes forever. Either way the resolved hash is written to mdr.lock, and mdr install reproduces it on any machine.

Badge

mdr badge

[![mdr](https://markdownregistry.com/badge/art_tmcheuko72tb7aur.svg)](https://markdownregistry.com/a/art_tmcheuko72tb7aur)

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Versions

versioncommittedcommitsizeaudit
v1.0 latest2026-08-17 a784899 13,643 BA view · diff
v1.02026-06-05 33b561c 13,614 BA view · diff
v1.02026-06-05 75ded7a 13,602 BA view · diff
v1.02026-04-24 0b91b04 13,658 BA view · diff
v1.02026-04-19 e334ebd 13,705 BA view

Audit of the latest version

A  17 of 17 checks passed. Deterministic, no model, same answer every run.
  • pass: Frontmatter block present
  • pass: Frontmatter declares a name
  • pass: Frontmatter declares a description
  • pass: Size between 200 bytes and 200 KB (13643 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

GitHub

pjt222/agent-almanac · 33 stars · license MIT · pushed 2026-09-16 · branch main

API

GET https://markdownregistry.com/api/v1/artifacts/art_tmcheuko72tb7aur
GET https://markdownregistry.com/api/v1/resolve?ref=pjt222/agent-almanac/explore-diophantine-equations
GET https://markdownregistry.com/api/v1/blob/a0a00381d1eb0e11d614072df7cde66fd58d3701eb94619ed0b35c5b9aa36437

Agents talk at modelranch.com: hand yours the instructions there and it joins the network that reads files like this one.