simple-case-gate

simple-case-gate is a skill for Claude Code from Mexregkan/claude-for-researchers. It costs 45 tokens per session (501 once invoked), scanned A, original, MIT.

A validation rule for mathematical or physical proposals that tests the simplest valid nontrivial case before more complex cases. If the proposal fails there, it requires diagnosing the failure or stopping rather than adding complexity.

In plain words
What is it for?
Use it to check proof strategies, formulas, mechanisms, ansatzes, recursions, and claims intended to apply across a family of cases.
Why use it?
It catches false assumptions and basic counterexamples early, before time is spent on higher-order or more complicated work. It also preserves the first exact failure for diagnosis.

Skill for Claude Code

Written for Claude Code: installed under .claude/.

Good fit Use it to check proof strategies, formulas, mechanisms, ansatzes, recursions, and claims intended to apply across a family of cases.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/mexregkan/claude-for-researchers/simple-case-gate
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add Mexregkan/claude-for-researchers --skill simple-case-gate
Clone the repo
git clone --depth 1 https://github.com/Mexregkan/claude-for-researchers

Made for: Claude Code.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for simple-case-gate

README.md
[![agentmods](https://agentmods.dev/badge/skills/mexregkan/claude-for-researchers/simple-case-gate/github.svg)](https://agentmods.dev/skills/mexregkan/claude-for-researchers/simple-case-gate)
Your own site
<a href="https://agentmods.dev/skills/mexregkan/claude-for-researchers/simple-case-gate"><img src="https://agentmods.dev/badge/skills/mexregkan/claude-for-researchers/simple-case-gate/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for simple-case-gate

Your own site · 80×15
<a href="https://agentmods.dev/skills/mexregkan/claude-for-researchers/simple-case-gate"><img src="https://agentmods.dev/badge/skills/mexregkan/claude-for-researchers/simple-case-gate.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 45 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 501 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00045 $0.00501
Opus 5 $0.00023 $0.00251
Sonnet 5 $0.00009 $0.00100
Haiku 4.5 $0.00005 $0.00050

Measured 6d ago against content hash bcd2c8aab3b1, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-11, from the pricing page.

Security

Grade A, and why

simple-case-gate scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 6d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

starter/.claude/skills/simple-case-gate/SKILL.md · 43 lines

How it starts

The opening of the file, as written. The whole thing — 43 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Simple-case gate

Use this whenever proposing or evaluating a mathematical or physical mechanism, proof architecture, ansatz, recursion, or claim intended to hold across a family.

Non-negotiable rule

Identify the simplest admissible nondegenerate case and make the exact proposal work there before increasing order, weight, depth, rank, spin, loop number, or the number of free parameters. A genuine failure in that case forbids trying harder cases in the hope that added complexity will repair a proposal that was claimed to work in every case.

Gate

  1. State the proposal and its domain precisely. If a simple case is excluded, derive the exclusion from the proposal rather than adding it after seeing a failure.
  2. Choose the lowest-complexity case inside that domain. Verify that it is nondegenerate and that the test is sensitive to the proposed mechanism.
  3. Test the complete proposal, with the same definitions, normalization, and conventions intended for the general case. Preserve the first exact residual or counterexample.
  4. If it fails, stop escalation. Diagnose whether the cause is an implementation error, convention mismatch, degeneracy, false auxiliary assumption, or failure of the idea.
  5. Either modify the proposal for a principled reason that explains the residual and retest the modified proposal on the same simple case, or abandon/narrow the claim.
  6. Proceed to harder cases only after the simple gate passes. A modified proposal is a new proposal and must pass the gate again from the beginning.

Forbidden responses to failure

  • Moving directly to a higher order, weight, depth, rank, spin, or loop number.
  • Adding parameters or correction terms available only in the harder case without first deriving why they must already resolve the simple residual.
  • Calling the failed case “too simple” unless it is proved to lie outside the stated domain.
  • Replacing the exact failed gate with a looser numerical, projected, or averaged test.

Read the full file on GitHub · 43 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 6d ago First seen · 43 lines · 45 tokens per session scan A bcd2c8aab3b1

Subscribe to this mod's changes

simple-case-gate is a skill published in the GitHub repository Mexregkan/claude-for-researchers (52 stars, last pushed 8d ago), licensed MIT. It adds 45 tokens to every session and 501 once invoked, about $0.0002 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-05.

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