Agent skill

Math Explainer

by CharlesHoskinson in CharlesHoskinson/sevenlayer

A skill your agent uses when drafting a mathematical concept explanation for the "Proving Nothing" book — produces book-ready, dependency-aware, multimodal (Sage + manim), fact-checked material…

Custom licenceAuto-check passedEducation

Install Math Explainer

skills CLI
$ npx skills add CharlesHoskinson/sevenlayer --skill math-explainer -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install CharlesHoskinson/sevenlayer math-explainer --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/CharlesHoskinson/sevenlayer.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math-explainer .claude/skills/math-explainer && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
math-explainer
GitHub stars
116
Token cost
~805 tokens
SKILL.md length
315 words
Files
67 (incl. scripts, references)
Skills in repo
3
Repo updated
First seen
Licence
Custom licence

At a glance

A skill your agent uses when drafting a mathematical concept explanation for the "Proving Nothing" book — produces book-ready, dependency-aware, multimodal (Sage + manim), fact-checked material…

  • Drafting a mathematical concept explanation for the Proving Nothing book — produces book-ready
  • SKILL.md covers The pipeline, Method rubric (enforced by the… and Dependencies
  • Runs Python scripts from its folder
  • Dependency-aware

What it does

Math Explainer is an agent skill from CharlesHoskinson/sevenlayer. Use when drafting a mathematical concept explanation for the "Proving Nothing" book — produces book-ready, dependency-aware, multimodal (Sage + manim), fact-checked material executing the Sanderson + Tao teaching method via a six-stage pipeline. Triggers include "explain <concept", "draft the math for <concept", "build the explanation for <concept". Not for systems/applications prose, source ingestion, or interactive tutoring.

Its SKILL.md is about 810 tokens, which your agent loads only when the skill is triggered. The skill folder holds 70 other files, including scripts and reference files (for example `conftest.py`, `evals/concepts.json` and `evals/run_eval.py`).

It sits in Education, covering Tutoring and explanations. It works with Manim. The repository describes itself as: A Complete Guide to Zero-Knowledge Proof Systems.

When your agent uses it

  • Drafting a mathematical concept explanation for the Proving Nothing book — produces book-ready
  • Dependency-aware
  • Multimodal (Sage + manim)
  • Fact-checked material executing the Sanderson + Tao teaching method via a six-stage pipeline

Example prompts

  • “Proving Nothing”
  • “explain <concept”
  • “draft the math for <concept”
  • “/math-explainer”

Requirements

  • Python 3

What it can do on your machine

Read from SKILL.md and the folder at commit 2789e5a. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Ships 4 files in scripts/ (Python, from the files we listed), which the agent can run.

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Math Explainer loads about 805 tokens when it runs, and up to ~4.6k if it reads all its reference files. Until then it costs about 112 tokens; SKILL.md has 315 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~112
When it runs · the whole SKILL.md, loaded when a task matches
~805
With references · SKILL.md plus every file in references/, read only if the agent opens them
~4.6k

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); the scripts in this folder are not scanned.

SKILL.md

Its licence (Custom licence) doesn't allow us to republish the file, so here is its outline and opening line. It has 315 words (~805 tokens).

“Turn "explain " into book-ready material that executes the Sanderson + Tao method. Run the six stages in order; do not skip the Stage 6 gate.”

— opening of SKILL.md by CharlesHoskinson, Custom licence
name
math-explainer

Read the full SKILL.md on GitHub

Files

SKILL.md and 66 other files (scripts, references) in .claude/skills/math-explainer of CharlesHoskinson/sevenlayer.

  • SKILL.md
  • .gitignore
  • conftest.py
  • evals/concepts.json
  • evals/run_eval.py
  • evals/sample_bundle/bundle.json
  • references/.gitkeep
  • references/accuracy-protocol.md
  • references/dependency-protocol.md
  • references/draft-quality.md
  • references/pipeline.md
  • references/sanderson-moves.md
  • references/tao-staging.md
  • scripts/__init__.py
  • scripts/check_env.py
  • scripts/draft_lint.py
  • scripts/manim_render.py
  • … and 50 more

Open the folder on GitHubat commit 2789e5a

Compare with similar skills

Math Explainer next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Math Explainer compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Math Explainer this skillCharlesHoskinson/sevenlayer116—~805Automated safety check: PassCustom licence
Study Companion Enmingchen666/Reviva237—~5.7kAutomated safety check: PassNone
DeepTutor CLIHKUDS/DeepTutor41k—~2.8kAutomated safety check: PassApache-2.0
AI Engineering Project Tutorrohitg00/ai-engineering-from-scratch66k—~1.6kAutomated safety check: PassMIT
Hung-Yi Lee Teaching Stylevoidful/hung-yi-lee-skill1.3k—~13kAutomated safety check: PassNone
Claude Certification Tutorrohitg00/ai-engineering-from-scratch66k—~3kAutomated safety check: PassMIT

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Works with

Categories

Questions about Math Explainer

What does Math Explainer do?

A skill your agent uses when drafting a mathematical concept explanation for the "Proving Nothing" book — produces book-ready, dependency-aware, multimodal (Sage + manim), fact-checked material…. Math Explainer is an agent skill from CharlesHoskinson/sevenlayer. Use when drafting a mathematical concept explanation for the "Proving Nothing" book — produces book-ready, dependency-aware, multimodal (Sage + manim), fact-checked material executing the Sanderson + Tao teaching method via a six-stage pipeline.

When should I use Math Explainer?

Math Explainer fits situations like: drafting a mathematical concept explanation for the Proving Nothing book — produces book-ready; dependency-aware; multimodal (Sage + manim); fact-checked material executing the Sanderson + Tao teaching method via a six-stage pipeline.

How do I install Math Explainer in Claude Code?

Run `npx skills add CharlesHoskinson/sevenlayer --skill math-explainer -a claude-code`. Or copy the skill folder (.claude/skills/math-explainer in CharlesHoskinson/sevenlayer) into .claude/skills/math-explainer in your project. Claude Code loads it when a task matches its description.

How do I install Math Explainer in Codex?

Run `npx skills add CharlesHoskinson/sevenlayer --skill math-explainer -a codex`. Or copy the skill folder (.claude/skills/math-explainer in CharlesHoskinson/sevenlayer) into .agents/skills/math-explainer in your project. Codex loads it when a task matches its description.

Can I use Math Explainer in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add CharlesHoskinson/sevenlayer --skill math-explainer -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/math-explainer, .gemini/skills/math-explainer, .github/skills/math-explainer and .opencode/skills/math-explainer in your project.

What does Math Explainer need to run?

Going by SKILL.md and its folder, Math Explainer needs Python for the scripts in its folder. Our summary lists: Python 3.

Does Math Explainer access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Math Explainer safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. The check reads SKILL.md only: the scripts in the folder are not scanned, so read them before running anything.

What licence does Math Explainer use?

Math Explainer has a licence file (the repository's licence) that doesn't match a standard licence. Read it on GitHub before reusing the skill.

How many tokens does Math Explainer use?

About 805 tokens (SKILL.md is roughly 3.2k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full. Its references folder adds about 3.8k tokens, read only when the agent opens those files.

What are the alternatives to Math Explainer?

Skills that share tags, products or a category with Math Explainer: Study Companion En (mingchen666/Reviva, 237 stars), DeepTutor CLI (HKUDS/DeepTutor, 41k stars), AI Engineering Project Tutor (rohitg00/ai-engineering-from-scratch, 66k stars) and Hung-Yi Lee Teaching Style (voidful/hung-yi-lee-skill, 1.3k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Math Explainer?

CharlesHoskinson (a GitHub user) maintains it in CharlesHoskinson/sevenlayer, which has 116 GitHub stars. The repository holds 3 skills in this directory. The repository was last updated on August 31, 2026.

Source: CharlesHoskinson/sevenlayer on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.