Triple

T5634014
Position Surface form Disambiguated ID Type / Status
Subject Fermat polygonal number theorem E147900 entity
Predicate statusOfFermatProof P64708 FINISHED
Object Fermat did not leave a complete proof 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: Fermat did not leave a complete proof | Statement: [Fermat polygonal number theorem, statusOfFermatProof, Fermat did not leave a complete proof]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: statusOfFermatProof
Context triple: [Fermat polygonal number theorem, statusOfFermatProof, Fermat did not leave a complete proof]
  • A. associatedConjecture
    Indicates that one entity is linked or connected to a particular conjecture, typically as its subject, source, or relevant context.
  • B. relatedConjecture
    Indicates that one conjecture is connected or associated with another conjecture, such as by similarity, dependency, or thematic relation.
  • C. announcedMillenniumProblems
    Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
  • D. 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.
  • E. hasTheorem
    Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
  • F. None of above. chosen

Provenance (4 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_69c00907bc8881909ed760d3ed73ef35 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c0226118548190877793dadf6cacba completed March 22, 2026, 5:09 p.m.
PD Predicate disambiguation batch_69c01b1f12ec8190b4b9d9ee31cabe19 completed March 22, 2026, 4:38 p.m.
PDg Predicate description generation batch_69c01f0684908190ae2d14f0bd2ab892 completed March 22, 2026, 4:55 p.m.
Created at: March 22, 2026, 3:41 p.m.