Triple

T36469886
Position Surface form Disambiguated ID Type / Status
Subject Liouville's inequality in Diophantine approximation E898513 entity
Predicate instanceOf P0 FINISHED
Object inequality in number theory C62681 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: inequality in number theory
Context triple: [Liouville's inequality in Diophantine approximation, instanceOf, inequality in number theory]
  • A. 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.
  • B. 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.
  • C. theorem in metric number theory
    A theorem in metric number theory is a rigorous statement describing the behavior of number-theoretic objects (such as Diophantine approximations or distribution of sequences) for "almost all" real numbers with respect to a given measure, typically Lebesgue measure.
  • 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. 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
Created at: May 3, 2026, 4:10 p.m.