Unified Math Literature Search
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About this skill
Problem
Math literature search often scatters across MATLAS, zbMATH, OpenAlex, Semantic Scholar, and Crossref. Finding a theorem requires a proposition index, surveying a topic needs citation-order ranking, and resolving a DOI needs another metadata endpoint; mixing Chinese papers, English terms, and MSC codes easily causes missed records, duplicates, or inconsistent citation formatting.
How It Works
The skill maps query intent to the best sources: theorems, lemmas, propositions, and definitions go to MATLAS + zbMATH, where MATLAS provides precise statements and zbMATH adds MSC classification and citation data; direction-level reviews go to OpenAlex + Semantic Scholar, where OpenAlex ranks by citations and Semantic Scholar adds reference graphs; Chinese keywords prioritize OpenAlex, with zbMATH used to supplement Chinese mathematics journals; exact DOI lookups use Crossref for authoritative metadata and publisher details. It also performs cross-source retrieval, de-duplicates by DOI, keeps the most complete entry, and records hit sources in _sources. Output can be switched to text, json, markdown, or bibtex, which fits consoles, notes, reports, or LaTeX projects.
Caveats
MATLAS works best for English proposition-like items and is not suitable for non-proposition literature; zbMATH may hide some abstracts due to licensing; OpenAlex may have incomplete Chinese metadata; Semantic Scholar free endpoints have rate limits and weaker Chinese coverage; Crossref only handles exact DOI lookups, not keyword search. If a paper is only indexed by CNKI, manual verification is still required.
Use Cases
- When organizing literature in functional analysis, rank highly cited survey papers by citation count.
- Find the original statement and source of the Cauchy-Schwarz inequality, then generate BibTeX.
- Look up a math paper by DOI to complete publisher, year, and citation metadata.
- Search Chinese mathematics journal papers while using OpenAlex and zbMATH to reduce duplicates.
Best For
- Mathematics graduate students: need theorem sources, proposition statements, and topic surveys.
- Research writing assistants: need deduplicated search results converted to BibTeX or Markdown.
- Math journal editors: need to verify MSC classification, DOI, publisher, and citation details.
- Math software engineers: need to export literature search results as JSON for programmatic use.
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