Triple

T21494452
Position Surface form Disambiguated ID Type / Status
Subject analytic number theory E530316 entity
Predicate centralConjecture P144606 FINISHED
Object Riemann hypothesis NE NERFINISHED

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: Riemann hypothesis | Statement: [analytic number theory, centralConjecture, Riemann hypothesis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann hypothesis
Context triple: [analytic number theory, centralConjecture, Riemann hypothesis]
  • A. Riemann hypothesis chosen
    The Riemann hypothesis is a famous unsolved conjecture in number theory asserting that all nontrivial zeros of the Riemann zeta function lie on a critical line in the complex plane, with deep implications for the distribution of prime numbers.
  • B. Lindelöf hypothesis
    The Lindelöf hypothesis is an unproven conjecture in analytic number theory about the growth rate of the Riemann zeta function along the critical line, with deep implications for the distribution of prime numbers.
  • C. Hilbert–Pólya conjecture
    The Hilbert–Pólya conjecture is an unproven idea in number theory suggesting that the nontrivial zeros of the Riemann zeta function correspond to eigenvalues of a suitable self-adjoint operator, offering a potential spectral approach to proving the Riemann hypothesis.
  • D. grand Riemann hypothesis
    The grand Riemann hypothesis is a far-reaching conjecture in number theory asserting that all nontrivial zeros of all automorphic L-functions lie on a critical line in the complex plane, generalizing the classical and generalized Riemann hypotheses.
  • E. generalized Riemann hypothesis
    The generalized Riemann hypothesis is a major unproven conjecture in number theory asserting that the nontrivial zeros of all Dirichlet L-functions lie on a critical line in the complex plane, extending the classical Riemann hypothesis.
  • 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: centralConjecture
Context triple: [analytic number theory, centralConjecture, Riemann hypothesis]
  • A. centralQuestion
    Indicates that something is the main issue, problem, or inquiry around which a discussion, work, or investigation is focused.
  • B. centralWork
    Indicates that a particular work is the primary, most important, or focal work associated with an entity or context.
  • C. centralIn
    Indicates that one entity occupies a central or most important position within another entity, context, or structure.
  • D. centralMystery
    Indicates that something serves as the primary unresolved question or puzzle around which a narrative, situation, or investigation is structured.
  • E. centralConflictIn
    Indicates that one situation, issue, or opposition serves as the primary source of tension or struggle within another context, such as a story, event, or scenario.
  • 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_69e0c45bd15481909fba5910765cdda2 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69e9ea567244819091863350fedae3ae completed April 23, 2026, 9:45 a.m.
PD Predicate disambiguation batch_69e631f6e68081908f5ee4ce7413803e completed April 20, 2026, 2:02 p.m.
PDg Predicate description generation batch_69e6386c5a4481909c37f7de7e9fc025 completed April 20, 2026, 2:30 p.m.
Created at: April 16, 2026, 6:23 p.m.