Triple

T30501036
Position Surface form Disambiguated ID Type / Status
Subject van der Corput method for estimating exponential sums E776136 entity
Predicate instanceOf P0 FINISHED
Object technique for bounding exponential sums 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 for bounding exponential sums
Context triple: [van der Corput method for estimating exponential sums, instanceOf, technique for bounding exponential sums]
  • A. exponential sum
    An exponential sum is a finite or infinite sum of complex exponentials, typically of the form \(\sum a_n e^{2\pi i f(n)}\), used to study oscillatory behavior and distribution properties in number theory and analysis.
  • B. circle method
    The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
  • C. 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.
  • D. 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.
  • E. result in probabilistic number theory
    A result in probabilistic number theory is a theorem or statement that describes the typical or average behavior of arithmetic objects (such as integers, primes, or multiplicative functions) using probabilistic models and methods.
  • 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_69f22498c5d481908aaea89e6fab8280 completed April 29, 2026, 3:32 p.m.
Created at: April 29, 2026, 8:14 p.m.