Triple

T2394172
Position Surface form Disambiguated ID Type / Status
Subject Riemann zeta function E47609 entity
Predicate VoroninUniversality P37895 FINISHED
Object translates of ζ(s) approximate wide classes of analytic functions in critical strip 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: translates of ζ(s) approximate wide classes of analytic functions in critical strip | Statement: [Riemann zeta function, VoroninUniversality, translates of ζ(s) approximate wide classes of analytic functions in critical strip]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: VoroninUniversality
Context triple: [Riemann zeta function, VoroninUniversality, translates of ζ(s) approximate wide classes of analytic functions in critical strip]
  • A. symbolInComplexAnalysis
    Indicates that a given symbol is used specifically within the context or notation of complex analysis.
  • B. announcedMillenniumProblems
    Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
  • C. EuclideanFunction
    Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
  • D. numberOfMillenniumProblems
    Indicates the total count of Millennium Problems associated with a given subject or context.
  • E. isUniversal
    Indicates that the relationship or property holds for all relevant entities or cases without exception.
  • 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.