Triple

T25432707
Position Surface form Disambiguated ID Type / Status
Subject Selberg–Delange method results E637300 entity
Predicate instanceOf P0 FINISHED
Object theorem in multiplicative number theory C28450 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: theorem in multiplicative number theory
Context triple: [Selberg–Delange method results, instanceOf, theorem in multiplicative number theory]
  • A. object of analytic number theory chosen
    An object of analytic number theory is a mathematical entity—such as a function, sequence, or set of numbers—studied using tools of analysis (like complex analysis, Fourier analysis, or measure theory) to understand the distribution and properties of integers and related structures.
  • B. 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.
  • C. phenomenon in analytic number theory
    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.
  • D. additive number theory problem
    An additive number theory problem studies how integers can be expressed as sums of other integers, often under specific constraints or using particular sets of numbers.
  • E. 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.
  • 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_69e75db58a1c8190891b9ff7c2f8414e completed April 21, 2026, 11:21 a.m.
Created at: April 21, 2026, 1:58 p.m.