Triple

T2394156
Position Surface form Disambiguated ID Type / Status
Subject Riemann zeta function E47609 entity
Predicate RiemannHypothesisStatement P12675 FINISHED
Object all nontrivial zeros lie on Re(s) = 1/2 LITERAL FINISHED

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: all nontrivial zeros lie on Re(s) = 1/2 | Statement: [Riemann zeta function, RiemannHypothesisStatement, all nontrivial zeros lie on Re(s) = 1/2]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: RiemannHypothesisStatement
Context triple: [Riemann zeta function, RiemannHypothesisStatement, all nontrivial zeros lie on Re(s) = 1/2]
  • 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. primeInGaussianIntegersCondition
    Indicates that a number remains prime when considered within the ring of Gaussian integers, typically meaning it cannot be factored nontrivially in that domain.
  • D. mathematicallyExpressedBy chosen
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • E. mathematicallyFormulatedBy
    Indicates that something (such as a concept, model, or theory) is expressed or defined using mathematical formulations created by a particular agent.
  • F. None of above.

Provenance (3 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.
PD Predicate disambiguation batch_69abc5a3825c81909ec6111dfc165453 completed March 7, 2026, 6:28 a.m.
Created at: March 4, 2026, 7:57 p.m.