Triple

T25432975
Position Surface form Disambiguated ID Type / Status
Subject Jarník–Besicovitch theorem E637306 entity
Predicate instanceOf P0 FINISHED
Object theorem in metric number theory C50360 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 metric number theory
Context triple: [Jarník–Besicovitch theorem, instanceOf, theorem in metric number theory]
  • A. 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.
  • 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. number theory constant
    A number theory constant is a specific real or complex number that arises naturally in number-theoretic contexts, often defined by infinite series, products, or limits, and encapsulates deep arithmetic properties.
  • D. 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.
  • E. 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.
  • F. None of above. chosen

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.