Triple

T21494028
Position Surface form Disambiguated ID Type / Status
Subject Taniyama–Shimura–Weil conjecture E530307 entity
Predicate provedInSpecialCaseBy P78876 FINISHED
Object Andrew Wiles NE NERFINISHED

How this triple was built (3 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: Andrew Wiles | Statement: [Taniyama–Shimura–Weil conjecture, provedInSpecialCaseBy, Andrew Wiles]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Andrew Wiles
Context triple: [Taniyama–Shimura–Weil conjecture, provedInSpecialCaseBy, Andrew Wiles]
  • A. Andrew Wiles chosen
    Andrew Wiles is a British mathematician renowned for proving Fermat’s Last Theorem, resolving a centuries-old problem in number theory.
  • B. Ken Ribet
    Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
  • C. Robert Langlands
    Robert Langlands is a Canadian mathematician best known for initiating the Langlands program, a far-reaching web of conjectures connecting number theory, representation theory, and geometry.
  • D. Roger Heath-Brown
    Roger Heath-Brown is a prominent British mathematician known for his influential work in analytic number theory, particularly on prime numbers and Diophantine equations.
  • E. Manjul Bhargava
    Manjul Bhargava is a Canadian-American mathematician renowned for his groundbreaking work in number theory, for which he received the Fields Medal in 2014.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: provedInSpecialCaseBy
Context triple: [Taniyama–Shimura–Weil conjecture, provedInSpecialCaseBy, Andrew Wiles]
  • A. specialCaseOf
    Indicates that one entity represents a more specific, exceptional, or restricted instance of the general situation, rule, or relationship expressed by another entity.
  • B. partiallyProvenFor chosen
    Indicates that something has been shown to hold or be true for part of a domain or set of cases, but not yet for all cases.
  • C. proved
    Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
  • D. independentlyProvedBy
    Indicates that a statement or result is established by a proof that does not rely on or derive from another specified proof or source.
  • E. provedUndecidableUsing
    Indicates that the undecidability of one problem, theory, or statement was established by applying or reducing it to another specific method, result, or formal system.
  • 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.