Triple

T21047204
Position Surface form Disambiguated ID Type / Status
Subject Lindelöf hypothesis E518478 entity
Predicate isNotKnownToBeEquivalentTo P142622 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: [Lindelöf hypothesis, isNotKnownToBeEquivalentTo, Riemann Hypothesis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann Hypothesis
Context triple: [Lindelöf hypothesis, isNotKnownToBeEquivalentTo, 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: isNotKnownToBeEquivalentTo
Context triple: [Lindelöf hypothesis, isNotKnownToBeEquivalentTo, Riemann Hypothesis]
  • A. isDistinctFrom
    Indicates that two entities are not identical and can be clearly distinguished from one another.
  • B. isNotSynonymOf
    Indicates that two terms or expressions do not share the same or sufficiently similar meaning and therefore are not synonyms of each other.
  • C. isDynamicallyDistinctFrom
    Indicates that two entities differ in their behavior, state changes, or evolution over time, even if they may appear similar in static properties.
  • D. hasEquivalent
    Indicates that two entities are considered equal in value, meaning, or function within a given context.
  • E. isNotType
    Indicates that one entity is explicitly not of a specified type or category in relation to another.
  • 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
PD Predicate disambiguation batch_69e5dbf6728881908a2a43a5c8804a2a completed April 20, 2026, 7:55 a.m.
PDg Predicate description generation batch_69e5e2df1a888190b5b478e76bdf7fdf completed April 20, 2026, 8:25 a.m.
Created at: April 16, 2026, 2:34 p.m.