Triple

T2364821
Position Surface form Disambiguated ID Type / Status
Subject Über die Anzahl der Primzahlen unter einer gegebenen Grösse E47355 entity
Predicate associatedConjecture P38260 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: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, associatedConjecture, Riemann Hypothesis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann Hypothesis
Context triple: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, associatedConjecture, 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. Millennium Prize Problem
    The Millennium Prize Problem is one of seven famous unsolved mathematical problems designated by the Clay Mathematics Institute, each carrying a $1 million reward for a correct solution.
  • E. Fermat's Last Theorem
    Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
  • 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: associatedConjecture
Context triple: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, associatedConjecture, Riemann Hypothesis]
  • A. announcedMillenniumProblems
    Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
  • B. numberOfMillenniumProblems
    Indicates the total count of Millennium Problems associated with a given subject or context.
  • C. associatedWithSee
    Indicates a relationship where one entity is contextually or functionally linked to another through the act or concept of seeing or visual observation.
  • D. associatedMatha
    Indicates a relationship where one entity is linked or affiliated with a particular matha (monastic or religious institution).
  • E. alsoHolds
    Indicates that a condition, property, or relation that applies in one context or case simultaneously applies in another context or case.
  • 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_69a88a1a4a6081908645b0f2914521ab completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc7486cb48190acef1891cc87bdb1 completed March 7, 2026, 6:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69aebf2eb7a88190b421df42acbd974b completed March 9, 2026, 12:38 p.m.
PD Predicate disambiguation batch_69abc599b92c819093d9e15d4437705d completed March 7, 2026, 6:28 a.m.
PDg Predicate description generation batch_69abc6a85e2c8190afec217ff29476be completed March 7, 2026, 6:33 a.m.
Created at: March 4, 2026, 7:55 p.m.