Triple

T9843377
Position Surface form Disambiguated ID Type / Status
Subject Hardy Z-function E239280 entity
Predicate instanceOf P0 FINISHED
Object object in analytic number theory C24790 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07 
Target class: object in analytic number theory
Context triple: [Hardy Z-function, instanceOf, object in analytic number theory]
  • A. identity in analytic number theory
    Identity in analytic number theory is a rigorously proven equality, often involving series, integrals, or arithmetic functions, that reveals structural relationships between number-theoretic objects and underpins analytic techniques such as transforms, convolutions, and explicit formulas.
  • B. phenomenon in analytic number theory chosen
    A phenomenon in analytic number theory is a recurring pattern or behavior in the distribution or properties of numbers—often primes or arithmetic functions—that is revealed and studied using tools from complex analysis and asymptotic methods.
  • C. result in additive number theory
    A result in additive number theory is a theorem or proposition that describes how integers can be expressed as sums of other integers, often revealing structural or combinatorial properties of sets under addition.
  • D. number theory work
    A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
  • E. conjecture in number theory
    A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.
  • F. None of above.

Provenance (1 batch)

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_69ca84e3f0c48190ada72a65ebd50efd completed March 30, 2026, 2:12 p.m.
Created at: March 30, 2026, 8:33 p.m.