Triple

T10991364
Position Surface form Disambiguated ID Type / Status
Subject prime number theorem E259759 entity
Predicate elementaryProofBy P21917 FINISHED
Object Atle Selberg E49639 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: Atle Selberg | Statement: [prime number theorem, elementaryProofBy, Atle Selberg]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Atle Selberg
Context triple: [prime number theorem, elementaryProofBy, Atle Selberg]
  • A. Atle Selberg chosen
    Atle Selberg was a Norwegian mathematician renowned for his profound contributions to analytic number theory, particularly the Selberg trace formula and work related to the Riemann zeta function.
  • B. Harald Cramér
    Harald Cramér was a Swedish mathematician and statistician renowned for his foundational contributions to probability theory and mathematical statistics.
  • C. Frigyes Reiner
    Frigyes Reiner was a renowned 20th-century Hungarian-American conductor celebrated for his precise technique and influential leadership of major orchestras, especially the Chicago Symphony Orchestra.
  • D. Rolf Nevanlinna
    Rolf Nevanlinna was a Finnish mathematician best known for founding value distribution theory (Nevanlinna theory) in complex analysis.
  • E. Edmund Landau
    Edmund Landau was a prominent German mathematician known for his foundational work in analytic number theory and the rigorous development of mathematical analysis.
  • 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: elementaryProofBy
Context triple: [prime number theorem, elementaryProofBy, Atle Selberg]
  • A. partialProofBy
    Indicates that one entity serves as an incomplete or intermediate proof contributing toward the full proof of another entity.
  • B. typicalProofUses
    Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
  • C. lemma
    Indicates that one entity is the canonical dictionary form (lemma) from which the other entity’s inflected or derived forms originate.
  • D. proved chosen
    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.
  • E. usedInProofStyle
    Indicates that one entity is employed as a method, technique, or approach within the proof style or strategy of another entity.
  • 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69e34504ebec8190a78e4795765b0c24 completed April 18, 2026, 8:47 a.m.
PD Predicate disambiguation batch_69d72e93ac648190b46c5d12bf3eb1e9 completed April 9, 2026, 4:44 a.m.
Created at: April 8, 2026, 9:24 p.m.