Triple

T10388799
Position Surface form Disambiguated ID Type / Status
Subject Weil conjectures E244835 entity
Predicate RiemannHypothesisPartProvedBy P78876 FINISHED
Object Pierre Deligne E53196 NE FINISHED

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: Pierre Deligne | Statement: [Weil conjectures, RiemannHypothesisPartProvedBy, Pierre Deligne]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pierre Deligne
Context triple: [Weil conjectures, RiemannHypothesisPartProvedBy, Pierre Deligne]
  • A. Pierre Deligne chosen
    Pierre Deligne is a Belgian mathematician renowned for his groundbreaking work in algebraic geometry and number theory, including his proof of the Weil conjectures.
  • B. Jean-Pierre Serre
    Jean-Pierre Serre is a French mathematician renowned for his foundational contributions to algebraic topology, algebraic geometry, and number theory, and is considered one of the most influential mathematicians of the 20th century.
  • C. Laurent Lafforgue
    Laurent Lafforgue is a French mathematician renowned for his groundbreaking work on the Langlands program, for which he received the Fields Medal.
  • D. Alexander Grothendieck
    Alexander Grothendieck was a revolutionary 20th-century mathematician whose work in algebraic geometry and homological algebra profoundly reshaped modern mathematics.
  • E. Gerd Faltings
    Gerd Faltings is a German mathematician renowned for his groundbreaking work in arithmetic geometry, particularly his proof of the Mordell conjecture, for which he received the Fields Medal.
  • 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: RiemannHypothesisPartProvedBy
Context triple: [Weil conjectures, RiemannHypothesisPartProvedBy, Pierre Deligne]
  • A. 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.
  • B. announcedMillenniumProblems
    Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
  • C. statusOfFermatProof
    Indicates the current state or condition of the proof related to Fermat’s Last Theorem (e.g., whether it is proposed, verified, refuted, or incomplete).
  • D. wasFirstProvedBy
    Indicates that a particular statement, theorem, or result was originally and for the first time demonstrated or established as true by a specified agent.
  • E. VoroninUniversality
    Indicates that a function or object exhibits Voronin universality, meaning its values approximate those of a wide class of analytic functions arbitrarily well on certain domains.
  • F. None of above.

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_69d381b5116081908d85227bab6d3c0c completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4e9b40dd8819080ac839487020a44 completed April 7, 2026, 11:25 a.m.
NED1 Entity disambiguation (via context triple) batch_69d9881d84588190a9117064a0950ac1 completed April 10, 2026, 11:30 p.m.
PD Predicate disambiguation batch_69d4dfb0e7a88190bec0b7a52c70dfe2 completed April 7, 2026, 10:42 a.m.
Created at: April 6, 2026, 12:05 p.m.