Math Literature Track

Contract

• Input: researcher's keywords, authors, categories, and time window.
• Output: Markdown digest and optional BibTeX/CSV.
• Side effects: none.
• Dependencies: none.
• Stop condition: digest saved with grouped papers, citations, and relevance notes.
• Risk: low.
• Boundary: reads and summarises; no new mathematical claims.

Math Literature Tracking

Track the front of mathematics that matters to the researcher, with explicit sources and a personal relevance signal.

Process

1. Define the tracking set

State:

• Categories — arXiv (e.g. math.AG + math.NT + math.PR).
• Authors — names to follow.
• Keywords — title / abstract terms (e.g. "Galois representation", "Lyapunov exponent").
• Window — since last digest (default 7 days).
• Citation triggers — when a paper cites an old paper of interest.

Completion criterion: set is explicit; queries reproducible.

2. Pull from primary sources

• arXiv: arxiv API / RSS by category, then filter.
• MathSciNet / zbMATH: metadata, reviews, MSC codes.
• Crossref / DOI: journal versions.
• Semantic Scholar / OpenAlex: citation graph.

Each item carries: title, authors, abstract, source, link, MSC codes, citation count.

Completion criterion: each item sourced; missing data flagged.

3. Score relevance

For each paper, score 1–5:

• 5: by a tracked author, in a tracked category, matches a tracked keyword.
• 4: close match (one of three).
• 3: neighbouring field; possibly useful.
• 2: tangentially related.
• 1: not relevant.

State the score reason in one sentence.

Completion criterion: every paper scored; reason stated.

4. Group

Group by:

• By topic (cluster of papers on the same question).
• By author (output of a followed researcher).
• By method (which technique family).
• By milestone (e.g. "extends Theorem X", "refutes Conjecture Y").

Completion criterion: groupings explicit; at least two perspectives.

5. Deliver the digest

Markdown artifact with: header (window), groups, scored items, follow-ups (papers to read deeply), citations, and suggested reading order (most relevant first).

Completion criterion: digest saved; reading order stated.

Notes

• This is monitoring, not review — for deep analysis use research or scientific-literature-review.
• Maintain a persistent digest/ folder indexed by date.