Triple

T31023927
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet density E790518 entity
Predicate instanceOf P0 FINISHED
Object density for subsets of prime numbers C57386 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: density for subsets of prime numbers
Context triple: [Dirichlet density, instanceOf, density for subsets of prime numbers]
  • A. 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.
  • B. method for estimating exponential sums
    A method for estimating exponential sums is a mathematical technique that provides bounds or approximations for sums of complex exponentials, typically to analyze oscillatory behavior in number theory or harmonic analysis.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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_69f224c811508190a7de096a5b1f5798 completed April 29, 2026, 3:33 p.m.
Created at: April 29, 2026, 8:58 p.m.