Triple

T18479911
Position Surface form Disambiguated ID Type / Status
Subject twin prime conjecture E451529 entity
Predicate historicalAttribution P9909 FINISHED
Object studied by Atle Selberg NE NERFINISHED

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: studied by Atle Selberg | Statement: [twin prime conjecture, historicalAttribution, studied by Atle Selberg]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: studied by Atle Selberg
Context triple: [twin prime conjecture, historicalAttribution, studied by Atle Selberg]
  • A. Atle Selberg
    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. Selberg sieve chosen
    The Selberg sieve is a powerful analytic number theory method developed by Atle Selberg for estimating the size of sets of integers filtered by divisibility conditions, particularly in the study of prime numbers.
  • C. Selberg eigenvalue conjecture
    The Selberg eigenvalue conjecture is a major open problem in analytic number theory and spectral theory that predicts a specific lower bound for the nontrivial eigenvalues of the Laplace operator on certain arithmetic hyperbolic surfaces.
  • D. Selberg trace formula
    The Selberg trace formula is a fundamental result in analytic number theory and spectral theory that relates lengths of closed geodesics on a Riemannian manifold to the spectrum of its Laplace operator, serving as a non-abelian analogue of the Poisson summation formula.
  • E. Dutch school of number theory
    The Dutch school of number theory is a mathematical tradition centered in the Netherlands, known for its influential contributions to Diophantine approximation, uniform distribution, and analytic number theory.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53066a7108190a50eda9b489c90ca completed April 19, 2026, 7:43 p.m.
Created at: April 10, 2026, 11:35 a.m.