Triple

T33578810
Position Surface form Disambiguated ID Type / Status
Subject Frobenius endomorphism E860096 entity
Predicate isFunctorialWithRespectTo P29147 FINISHED
Object morphisms of schemes over fields of characteristic p 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: morphisms of schemes over fields of characteristic p | Statement: [Frobenius endomorphism, isFunctorialWithRespectTo, morphisms of schemes over fields of characteristic p]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isFunctorialWithRespectTo
Context triple: [Frobenius endomorphism, isFunctorialWithRespectTo, morphisms of schemes over fields of characteristic p]
  • A. functorialityProperty chosen
    Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
  • B. representsFunctor
    Indicates that one entity serves as a functor (a structure-preserving mapping) that represents or encodes another entity or structure.
  • C. associatedFunctor
    Indicates that one entity is functionally or conceptually linked to another entity that serves as its corresponding 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. usesFunctor
    Indicates that one entity employs or applies a functor to operate on or transform another entity or structure.
  • 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_69f3497d37848190afcbb5ef3f5c7376 completed April 30, 2026, 12:22 p.m.
NER Named-entity recognition batch_69f6f76e085c81909d71d6f47853cd12 completed May 3, 2026, 7:21 a.m.
PD Predicate disambiguation batch_69f6f6632dfc8190af85e258c8519207 completed May 3, 2026, 7:16 a.m.
Created at: May 1, 2026, 1:40 a.m.