foocker

Use when drafting or revising English mathematical papers, surveys, theses, abstracts, introductions, proof prose, notation, equations, conclusions, cover letters, or reviewer responses.

Comprehensive citation management for academic research. Search Google Scholar and PubMed for papers, extract accurate metadata, validate citations, and generate properly formatted BibTeX entries. This skill should be used when you need to find papers, verify citation information, convert DOIs to BibTeX, or ensure reference accuracy in scientific writing.

Conduct comprehensive, systematic literature reviews using multiple academic databases (PubMed, arXiv, bioRxiv, Semantic Scholar, etc.). This skill should be used when conducting systematic literature reviews, meta-analyses, research synthesis, or comprehensive literature searches across biomedical, scientific, and technical domains. Creates professionally formatted markdown documents and PDFs with verified citations in multiple citation styles (APA, Nature, Vancouver, etc.).

Search 10 academic paper databases via REST APIs for research papers, preprints, and scholarly articles. Covers PubMed, PMC (full text), bioRxiv, medRxiv, arXiv, OpenAlex, Crossref, Semantic Scholar, CORE, Unpaywall. Use when searching for papers, citations, DOI/PMID lookups, abstracts, full text, open access, preprints, citation graphs, author search, or any scholarly literature query. Triggers on mentions of any supported database or requests like "find papers on X" or "look up this DOI".

Use when searching papers, organizing literature, validating citations, cleaning BibTeX, checking citation consistency, or positioning mathematical work against prior literature.

Use when evaluating a mathematical manuscript, proof draft, theorem claim, contribution statement, review report, referee response, revision plan, or research-progress note for rigor, novelty, evidence, attribution, and referee-style risk.

Screen a decomposition plan by first trying to prove all of its subgoals directly, then identifying the key stuck points if the plan does not fully go through. Use when a decomposition plan is created.

Launch one sub-agent per decomposition plan after direct screening has identified the key stuck points for each plan. Use when all current plans have been screened by direct proving, none fully solves the problem, and parallel recursive work is needed.

Plan and insert sourced mathematician biographies into relevant mathematical-book chapters with project-configured count, length, format, placement, and whole-book de-duplication.

生成**装饰 / 叙事类位图插画**（题图、概念氛围图、绘本 / 场景感插画）的图像生成技能。基于 GPT Image 2，可在 3 种环境下使用：(A) Garden 本地模式，通过 OpenAI 兼容接口直接出图并落盘；(B) Host-Native 模式，把渲染好的 prompt 交给宿主 Agent 自带的图像工具出图；(C) Advisor 模式，宿主无图像工具时退化为高质量 prompt 顾问。产出的是**非精确的装饰 / 叙事位图**；对几何精确、可无损缩放的技术图（数据图表、结构图、示意图等），调用方应改用矢量工具，本 Skill 不负责。

面向本地素材库 / 知识库目录的检索和溯源助手。核心流程：(1)优先检索已构建的 KB unit index / canonical Markdown (2)遇到外部或搜索来的 PDF 时，不直接把 PDF 当 KB 检索，必须先按调用方摄取门完成 OCR/raw capture、修复为 repaired/canonical Markdown、再构建 units (3)答案必须带来源锚点。用户问题涉及"从素材库/知识库回答问题、检索信息、查资料、给某段内容找出处"时使用。当调用方需要"每条内容有来源"时，它是内容检索 + 溯源的运行时执行者。

Plan and insert sourced mathematician biographies into relevant mathematical-book chapters with project-configured count, length, format, placement, and whole-book de-duplication.

从一批写作范本中提取一份可操作、可检查的「风格宪法」(style constitution)。输入任意文体的样本(书、文章、文档、脚本…)，输出一组分维度、每条都能被 critic 判定的写作规则，用于指导后续生成并支持逐轮迭代优化。用户说"提取写作风格 / 分析这些范文的风格 / 建一份风格指南 / 让生成对齐某种文风"时使用。它产出的是**方法的一次运行结果**，不绑定任何题材或领域。