Triple

T22329086
Position Surface form Disambiguated ID Type / Status
Subject de Rham cohomology E551975 entity
Predicate isFunctorTo P146679 FINISHED
Object category of graded real vector spaces LITERAL 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: category of graded real vector spaces | Statement: [de Rham cohomology, isFunctorTo, category of graded real vector spaces]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isFunctorTo
Context triple: [de Rham cohomology, isFunctorTo, category of graded real vector spaces]
  • A. associatedFunctor chosen
    Indicates that one entity is functionally or conceptually linked to another entity that serves as its corresponding functor.
  • B. usesFunctor
    Indicates that one entity employs or applies a functor to operate on or transform another entity or structure.
  • C. functorialityProperty
    Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
  • D. isAssociativeUpToIsomorphism
    Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
  • E. isIsomorphicTo
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • F. None of above.

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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f1576ab52c819087563cd778d6bc5e completed April 29, 2026, 12:57 a.m.
PD Predicate disambiguation batch_69e73004d9e88190bb862319a5aea06b completed April 21, 2026, 8:06 a.m.
Created at: April 16, 2026, 8:43 p.m.