Triple

T20690581
Position Surface form Disambiguated ID Type / Status
Subject category theory E508538 entity
Predicate hasKeyText P7166 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: [category theory, hasKeyText, 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: [category theory, hasKeyText, 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. Invitation to General Algebra and Universal Constructions
    "Invitation to General Algebra and Universal Constructions" is a graduate-level mathematics textbook by George Bergman that introduces general algebraic structures and category-theoretic methods, emphasizing universal properties and constructions.
  • D. 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.
  • E. 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.
  • 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_69e0b4c1ed408190b72dd26b1e33f8a1 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6c10d83548190a52b9ef84c8f9205 completed April 21, 2026, 12:13 a.m.
NED1 Entity disambiguation (via context triple) batch_6a08d7e226808190bf05b85afb173e36 completed May 16, 2026, 8:47 p.m.
Created at: April 16, 2026, 12:08 p.m.