Triple

T6834083
Position Surface form Disambiguated ID Type / Status
Subject Sheaves in Geometry and Logic E157405 entity
Predicate relatedTo P37 FINISHED
Object Categories for the Working Mathematician E157404 NE FINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Categories for the Working Mathematician | Statement: [Sheaves in Geometry and Logic, relatedTo, Categories for the Working Mathematician]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Categories for the Working Mathematician
Context triple: [Sheaves in Geometry and Logic, relatedTo, Categories for the Working Mathematician]
  • A. Categories for the Working Mathematician chosen
    Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
  • B. “Abelian Categories: An Introduction to the Theory of Functors”
    “Abelian Categories: An Introduction to the Theory of Functors” is a foundational monograph in category theory that systematically develops the theory of abelian categories and functors, significantly shaping modern homological algebra.
  • C. Sheaves in Geometry and Logic
    Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
  • D. Grothendieck toposes
    Grothendieck toposes are highly structured categories that generalize topological spaces and serve as a unifying framework for geometry, logic, and cohomology in modern mathematics.
  • E. L’Analysis Situs et la Géométrie Algébrique
    L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69c6882c53608190b99aebef079b23bd completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d67936288190829fedc3729aadd8 completed March 27, 2026, 7:11 p.m.
NED1 Entity disambiguation (via context triple) batch_69c72fab60708190825876e5715c0cc4 completed March 28, 2026, 1:32 a.m.
Created at: March 27, 2026, 2:18 p.m.