Triple

T2394168
Position Surface form Disambiguated ID Type / Status
Subject Riemann zeta function E47609 entity
Predicate primeNumberTheoremRelation P37892 FINISHED
Object nonvanishing of ζ(s) on Re(s) = 1 equivalent to prime number theorem — 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: nonvanishing of ζ(s) on Re(s) = 1 equivalent to prime number theorem | Statement: [Riemann zeta function, primeNumberTheoremRelation, nonvanishing of ζ(s) on Re(s) = 1 equivalent to prime number theorem]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: primeNumberTheoremRelation
Context triple: [Riemann zeta function, primeNumberTheoremRelation, nonvanishing of ζ(s) on Re(s) = 1 equivalent to prime number theorem]
  • A. primeFactorization
    Indicates that one entity is the decomposition of another entity into a multiset or sequence of prime factors whose product equals the original.
  • B. numberOfMillenniumProblems
    Indicates the total count of Millennium Problems associated with a given subject or context.
  • C. notableNumber
    Indicates that a number associated with an entity is distinguished or significant in some notable way (e.g., record-setting, symbolic, or otherwise remarkable).
  • D. mathematicallyExpressedBy
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • E. EuclideanFunction
    Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
  • 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_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.
PDg Predicate description generation batch_69abc664317c8190a6bb5a5065c21bde completed March 7, 2026, 6:32 a.m.
Created at: March 4, 2026, 7:57 p.m.