Triple

T22964984
Position Surface form Disambiguated ID Type / Status
Subject Bombieri–Pila determinant method E571014 entity
Predicate instanceOf P0 FINISHED
Object technique in analytic number theory C41099 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: technique in analytic number theory
Context triple: [Bombieri–Pila determinant method, instanceOf, technique in analytic number theory]
  • A. analytic number theory technique chosen
    An analytic number theory technique is a method that applies tools from analysis—such as complex functions, series, and integrals—to study and solve problems about integers and their distribution.
  • B. 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.
  • C. object of analytic number theory
    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.
  • D. 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.
  • E. 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.
  • 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_69e245b212a88190b5259caf51606084 completed April 17, 2026, 2:37 p.m.
Created at: April 17, 2026, 3:47 p.m.