Triple

T2394138
Position Surface form Disambiguated ID Type / Status
Subject Riemann zeta function E47609 entity
Predicate relatedConjecture P38188 FINISHED
Object Riemann hypothesis E47346 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: Riemann hypothesis | Statement: [Riemann zeta function, relatedConjecture, Riemann hypothesis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann hypothesis
Context triple: [Riemann zeta function, relatedConjecture, 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. 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.
  • C. 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.
  • D. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • E. Birch and Swinnerton-Dyer Conjecture
    The Birch and Swinnerton-Dyer Conjecture is a central unsolved problem in number theory that predicts a deep connection between the arithmetic of rational points on an elliptic curve and the behavior of its associated L-function at a specific value.
  • 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: relatedConjecture
Context triple: [Riemann zeta function, relatedConjecture, Riemann hypothesis]
  • A. announcedMillenniumProblems
    Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
  • B. relatedByFormula
    Indicates that one entity is mathematically or logically derived from, or connected to, another according to a specific formula.
  • C. relatedTest
    Indicates that there exists some form of connection or association between one test and another.
  • D. relatedConstant
    Indicates that one entity is a fixed, unchanging value or constant that is associated with or linked to another entity.
  • E. relatedRFC
    Indicates that one resource or specification is connected or associated with another through a shared or relevant RFC (Request for Comments) document.
  • F. None of above. chosen

Provenance (5 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_69a88a1c450c81909f61abb8b6863885 completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc87827d88190bb2351a688e6de32 completed March 7, 2026, 6:40 a.m.
NED1 Entity disambiguation (via context triple) batch_69aef09854fc8190bab0415e3815a920 completed March 9, 2026, 4:08 p.m.
PD Predicate disambiguation batch_69abc5a1b5748190b4cd8989700f4dd2 completed March 7, 2026, 6:28 a.m.
PDg Predicate description generation batch_69abc682d094819081a96ffb77c4c42a completed March 7, 2026, 6:32 a.m.
Created at: March 4, 2026, 7:57 p.m.