Structured methodology for constructing and verifying mathematical proofs in statistical research

Custom licenceAuto-check passedResearch & Science

Install Proof Architect

skills CLI
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill proof-architect -a claude-code

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

GitHub CLI
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills proof-architect --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/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .claude/skills && cp -r skills-src/skills/26-Data-Wise-scholar/skills/mathematical/proof-architect .claude/skills/proof-architect && 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
proof-architect
GitHub stars
4.5k
Token cost
~2.7k tokens
SKILL.md length
806 words
Files
2
Skills in repo
364
Repo updated
First seen
Licence
Custom licence

At a glance

Structured methodology for constructing and verifying mathematical proofs in statistical research

  • Works in 11 steps: Identification Proofs → Consistency Proofs → Asymptotic Normality Proofs → …
  • Research & Science work in your project
  • SKILL.md covers Proof Structure Framework, Proof Types in Statistical…, Proof Verification Checklist and Common Proof Errors, plus 2 more sections
  • Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Proof Architect is an agent skill from brycewang-stanford/Auto-Empirical-Research-Skills. Structured methodology for constructing and verifying mathematical proofs in statistical research

Its SKILL.md is about 2.7k tokens, which your agent loads only when the skill is triggered. The skill folder holds 2 other files (for example `.backups/SKILL-2025-12-09T03-53-59-602Z.md`).

It sits in Research & Science. The repository describes itself as: 🔬 A curated collection of 23,000+ agent skills for empirical research across 8 social science disciplines. | 精选 23,000+ AI Agent 技能库,覆盖8大社会科学学科的实证研究。CoPaper.AI…

When your agent uses it

  • Research & Science work in your project

Example prompts

  • “/proof-architect”

Workflow steps

11 steps, taken from the step headings in SKILL.md.

  1. Identification Proofs
  2. Consistency Proofs
  3. Asymptotic Normality Proofs
  4. Efficiency Proofs
  5. Double Robustness Proofs
  6. Understand the Goal
  7. Gather Tools
  8. Outline Structure
  9. Write First Draft
  10. Verify
  11. Polish

What it can do on your machine

Read from SKILL.md and the folder at commit 9fa87d8. 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

    No scripts in the folder and no shell commands in SKILL.md (its code samples are latex).

    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

Proof Architect loads about 2.7k tokens when it runs. Until then it costs about 28 tokens; SKILL.md has 806 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~28
When it runs · the whole SKILL.md, loaded when a task matches
~2.7k

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); files beside SKILL.md 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 806 words (~2,738 tokens).

“Structured methodology for constructing and verifying mathematical proofs in statistical research”

— opening of SKILL.md by brycewang-stanford, Custom licence
name
proof-architect

Read the full SKILL.md on GitHub

Files

SKILL.md and 1 other file in skills/26-Data-Wise-scholar/skills/mathematical/proof-architect of brycewang-stanford/Auto-Empirical-Research-Skills.

  • SKILL.md
  • .backups/SKILL-2025-12-09T03-53-59-602Z.md

Open the folder on GitHubat commit 9fa87d8

Compare with similar skills

Proof Architect 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.

Proof Architect compared with similar skills
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Proof Architect this skillbrycewang-stanford/Auto-Empirical-Research-Skills4.5k—~2.7kAutomated safety check: PassCustom licence
Hypothesis Generationspacering-net/codeg3.8k15 repos~3.6kAutomated safety check: NotesMIT
GitHub Deep Researchbytedance/deer-flow83k5 repos~1.3kAutomated safety check: PassMIT
Nature Paper CardYuan1z0825/nature-skills46k2 repos~2.1kAutomated safety check: PassApache-2.0
Read arXiv Paperkarpathy/nanochat58k2 repos~494Automated safety check: PassMIT
Content Research Writerweapp-tailwindcss/weapp-tailwindcss1.9k25 repos~3.5kAutomated safety check: PassMIT

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Questions about Proof Architect

What does Proof Architect do?

Structured methodology for constructing and verifying mathematical proofs in statistical research. Proof Architect is an agent skill from brycewang-stanford/Auto-Empirical-Research-Skills.

When should I use Proof Architect?

Proof Architect fits situations like: research & Science work in your project.

How do I install Proof Architect in Claude Code?

Run `npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill proof-architect -a claude-code`. Or copy the skill folder (skills/26-Data-Wise-scholar/skills/mathematical/proof-architect in brycewang-stanford/Auto-Empirical-Research-Skills) into .claude/skills/proof-architect in your project. Claude Code loads it when a task matches its description.

How do I install Proof Architect in Codex?

Run `npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill proof-architect -a codex`. Or copy the skill folder (skills/26-Data-Wise-scholar/skills/mathematical/proof-architect in brycewang-stanford/Auto-Empirical-Research-Skills) into .agents/skills/proof-architect in your project. Codex loads it when a task matches its description.

Can I use Proof Architect 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 brycewang-stanford/Auto-Empirical-Research-Skills --skill proof-architect -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/proof-architect, .gemini/skills/proof-architect, .github/skills/proof-architect and .opencode/skills/proof-architect in your project.

What does Proof Architect need to run?

SKILL.md names no scripts, command-line tools or credentials: Proof Architect is instructions for the agent only.

Does Proof Architect 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 Proof Architect 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. Review the folder before installing.

What licence does Proof Architect use?

Proof Architect 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 Proof Architect use?

About 2.7k tokens (SKILL.md is roughly 11k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Proof Architect?

Skills that share tags, products or a category with Proof Architect: Hypothesis Generation (spacering-net/codeg, 3.8k stars), GitHub Deep Research (bytedance/deer-flow, 83k stars), Nature Paper Card (Yuan1z0825/nature-skills, 46k stars) and Read arXiv Paper (karpathy/nanochat, 58k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Proof Architect?

brycewang-stanford (a GitHub user) maintains it in brycewang-stanford/Auto-Empirical-Research-Skills, which has 4,529 GitHub stars. The repository holds 364 skills in this directory. The repository was last updated on October 5, 2026.

Source: brycewang-stanford/Auto-Empirical-Research-Skills on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.