Triple

T7743565
Position Surface form Disambiguated ID Type / Status
Subject Birch and Swinnerton-Dyer Conjecture E175567 entity
Predicate partiallyProvedBy P69143 FINISHED
Object Andrew Wiles E53197 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: Andrew Wiles | Statement: [Birch and Swinnerton-Dyer Conjecture, partiallyProvedBy, Andrew Wiles]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Andrew Wiles
Context triple: [Birch and Swinnerton-Dyer Conjecture, partiallyProvedBy, 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. 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.
  • E. Peter Swinnerton-Dyer
    Peter Swinnerton-Dyer was a British mathematician best known for co-formulating the Birch and Swinnerton-Dyer conjecture, one of the central problems in number theory.
  • 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_69c6995f9c60819092e386192bd63c6f completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c708b13c688190839c920ec196cada completed March 27, 2026, 10:46 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8c7c63c688190ac257a738759d59f completed March 29, 2026, 6:33 a.m.
Created at: March 27, 2026, 4:07 p.m.