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Vibe Mathing Router

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tradecatlabs
vibe-mathing-router

数学研究任务路由器。用户提出找问题、查文献、推公式、做计算、写证明或形式化验证，但当前瓶颈尚未明确时使用；每次只选择一个主 skill。

Overview

Publishertradecatlabs
Repositoryvibe-coding-cn
Skill namevibe-mathing-router
Stars
17.4K
Forks
1.8K
Bundled files
5
LicenseMIT
Links
Skill sourceRepositoryHomepage
  • Markdown instructions

    A SKILL.md file the model loads on demand, so it only costs tokens when a request actually matches.

  • Works with any LLM

    AI skills are plain Markdown, not provider-specific code, so this works with GPT, Claude, Gemini, Grok, or a local model.

  • 5 bundled files

    Scripts, templates, and references the model can read while it works. Files are read-only and never executed.

  • Open source

    Published by tradecatlabs on GitHub. Read the source before you install it.

Installation

Install the Vibe Mathing Router AI skill in TypingMind to use it with any LLM, or drop it into another agent that reads SKILL.md.

1

Install in TypingMind

TypingMind installs a skill straight from its GitHub folder — it reads SKILL.md, bundles the resource files, and stores the result locally.

  1. Open the app and go to Plugins → Skills.
  2. Choose "Install from GitHub".
  3. Paste the skill folder URL below and confirm.
    https://github.com/tradecatlabs/vibe-coding-cn/tree/develop/research/vibe-mathing-cn-public/.codex/skills/vibe-mathing-router
  4. Enable the skill in any chat where you want it available.
Plugins → Skills → Add skill → From GitHub URL, then paste the folder URL and press Continue.
2

Install in another agent

Any agent that reads the Agent Skills format can use this skill — copy the folder into that agent's skills directory.

Claude Code — .claude/skills
git clone --depth 1 https://github.com/tradecatlabs/vibe-coding-cn.git /tmp/vibe-coding-cn
mkdir -p .claude/skills
cp -r /tmp/vibe-coding-cn/research/vibe-mathing-cn-public/.codex/skills/vibe-mathing-router .claude/skills/vibe-mathing-router
Restart Claude Code after copying so it picks up the new skill.

Use it in TypingMind

Enable Vibe Mathing Router in any TypingMind chat and the model takes it from there. Its name and description sit in the system prompt, and the moment a request matches, the model loads the full instructions itself — you never invoke it by hand, and it costs no tokens until it is actually used.

The model loads Vibe Mathing Router on its own as soon as a request matches it.

Works with any AI model

AI skills are plain Markdown instructions rather than provider-specific code, so Vibe Mathing Router is not tied to the model it was written for. Install it once in TypingMind and use it with GPT-5, Claude, Gemini, Grok, DeepSeek, Mistral, Llama, or a local model you run yourself — all on your own API keys.

  • Loaded only when it is needed

    The system prompt carries just the name and description. The instructions are fetched on the first matching request, so an idle skill costs nothing.

  • Switch models mid-chat

    Because the skill is instructions rather than code, changing model does not break it — the next model reads the same SKILL.md.

Skill instructions

This is the SKILL.md content the model loads. Read it before installing — a skill is instructions your model will follow.

Vibe Mathing Router

识别当前数学研究瓶颈，只把任务交给一个 owner；不把整条研究链同时启动。

Position in the Method Map

路由器先问“规格和语义是否已经冻结”，再区分演绎证明、模型检查、抽象解释、SAT/SMT/符号推理（含符号执行）或精化/综合的验证范式。Lean 是依赖类型理论型演绎验证的主战场，不是整张形式化方法地图。完整的上位/二级地图见 FORMAL-METHODS-MAP.md。顶层编排语言见 RESEARCH-LIFECYCLE-MODEL-v0.1.md：路由器为 Step 选择 owner，不能把一次 Job 成功解释为数学结果。

When to Use This Skill

  • 用户提出开放式数学问题，但尚未说明需要检索、推导、计算还是证明。
  • 输入混合了论文、公式、猜想和代码，需要先决定当前最短验证路径。
  • 用户问“下一步该做什么”或“该用哪个数学 skill”。

Not For / Boundaries

  • 已明确要求符号计算、证明或 Lean 验证时，直接使用对应 owner。
  • 不生成数学结论，不替代领域知识或机械验证。
  • 不因输出文件类型选择路线；按当前阻塞选择。

Quick Reference

text
缺少问题边界/前人工作 -> math-discovery
公式对象、假设或近似不清 -> math-derivation
需要精确计算、数值实验、反例搜索 -> math-computation
需要定理证明、补步骤、攻击证明 -> math-proof
需要 Lean/内核级验证 -> math-formalization

路由输出必须包含：当前阶段、主 skill、选择理由、必需输入、停止条件、唯一下一步。

Examples

Example 1：开放问题

  • 输入：“研究一下这个数列。”
  • 动作：选择 math-discovery，先固定数列、已知项和检索边界。
  • 验收：没有直接声称新定理，只给出可检索问题。

Example 2：明确恒等式

  • 输入：“检查这个积分恒等式。”
  • 动作：选择 math-computation。
  • 验收：产出可重跑计算和适用条件，不标记为一般性证明。

Example 3：形式化请求

  • 输入：“把这个证明写成 Lean。”
  • 动作：选择 math-formalization 并先运行工具预检。
  • 验收：Lean 缺失时状态为 blocked/calibration，不伪造 kernel-check。

References

  • references/source-map.md：项目 owner 映射来源。
  • references/pressure-tests.md：路由误触发压力场景。

Maintenance

  • Sources：本项目 owner mapping 与供应链审计结果。
  • Last updated：2026-09-07。
  • Verification：python3 scripts/validate_project.py。

Bundled files

The model reads these on demand while the skill is loaded. They are exposed as readable files and are never executed.

Frequently asked questions

What does the Vibe Mathing Router AI skill do?

数学研究任务路由器。用户提出找问题、查文献、推公式、做计算、写证明或形式化验证，但当前瓶颈尚未明确时使用；每次只选择一个主 skill。

Why use Vibe Mathing Router on TypingMind?

Because you install it once and use it with any model. Vibe Mathing Router is plain Markdown rather than provider-specific code, so the same skill runs on GPT-5, Claude, Gemini, Grok, or a local model — and you can switch model mid-chat without it breaking. TypingMind runs on your own API keys, so you pay providers directly instead of a per-seat subscription, and your skills and chats stay in your own storage.

How do I install Vibe Mathing Router in TypingMind?

Open Plugins → Skills → Install from GitHub in TypingMind and paste https://github.com/tradecatlabs/vibe-coding-cn/tree/develop/research/vibe-mathing-cn-public/.codex/skills/vibe-mathing-router. TypingMind reads its SKILL.md and bundles its files and installs it as a skill you can enable per chat.

Which AI models can use Vibe Mathing Router?

Any model you connect in TypingMind. AI skills are plain Markdown instructions rather than provider-specific code, so GPT, Claude, Gemini, Grok, and local models can all load this skill when a request matches it.

How many AI models can I use with Vibe Mathing Router?

As many as you like. As long as a model supports skills, you can use Vibe Mathing Router with it — GPT, Claude, Gemini, Grok, DeepSeek, Mistral, Llama and more — all on TypingMind with your own API keys.

Is the Vibe Mathing Router AI skill free?

Yes. It is published on GitHub by tradecatlabs under the MIT license. You only pay your own AI provider for the tokens you use.

What are AI skills?

An AI skill is a reusable instruction bundle that teaches an AI model how to do one specific task. It follows the open Agent Skills format: a SKILL.md file with a name and description, plus any scripts, templates or reference files the model may need. The model reads the instructions only when your request matches the skill, so an installed skill costs nothing until it is used.

How are AI skills different from plugins or MCP servers?

A plugin or MCP server gives a model new tools to call — code that runs somewhere and returns a result. An AI skill gives the model knowledge and process instead: how to approach a task, which steps to follow, what good output looks like. Skills are plain Markdown, so they need no server, no API key and no runtime, and they work with any model.

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