Triple

T21494052
Position Surface form Disambiguated ID Type / Status
Subject Taniyama–Shimura–Weil conjecture E530307 entity
Predicate statesCorrespondenceBetween P34 FINISHED
Object isogeny classes of elliptic curves over Q and newforms of weight 2 with rational Fourier coefficients 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: isogeny classes of elliptic curves over Q and newforms of weight 2 with rational Fourier coefficients | Statement: [Taniyama–Shimura–Weil conjecture, statesCorrespondenceBetween, isogeny classes of elliptic curves over Q and newforms of weight 2 with rational Fourier coefficients]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: statesCorrespondenceBetween
Context triple: [Taniyama–Shimura–Weil conjecture, statesCorrespondenceBetween, isogeny classes of elliptic curves over Q and newforms of weight 2 with rational Fourier coefficients]
  • A. states chosen
    Indicates that an entity formally declares, expresses, or asserts a fact, opinion, or condition about another entity or situation.
  • B. stateFederation
    Indicates that a state is a member of, or participates in, a larger federal union or federation.
  • C. primaryStates
    Indicates that certain states or conditions are the main or most fundamental ones within a given context or system.
  • D. provinceState
    Indicates that one entity is a province or state that is administratively contained within or associated with another, typically larger, territorial entity.
  • E. officialStateNameLinked
    Indicates that an entity is associated with an official state name through a specific linking or reference relationship.
  • 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_69e0c45bd15481909fba5910765cdda2 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69e9ea567244819091863350fedae3ae completed April 23, 2026, 9:45 a.m.
PD Predicate disambiguation batch_69e631f6e68081908f5ee4ce7413803e completed April 20, 2026, 2:02 p.m.
Created at: April 16, 2026, 6:23 p.m.