Triple

T19050879
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet convolution E466252 entity
Predicate instanceOf P0 FINISHED
Object operation on arithmetic functions C41098 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: operation on arithmetic functions
Context triple: [Dirichlet convolution, instanceOf, operation on arithmetic functions]
  • A. arithmetical function
    An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
  • B. operation on analytic functions
    An operation on analytic functions is a rule or transformation that takes one or more analytic (holomorphic) functions as input and produces another function, typically preserving analyticity within a given domain.
  • 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. L-function
    An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
  • E. Dirichlet series
    A Dirichlet series is an infinite series of the form ∑ₙ₌₁^∞ aₙ n^(-s), where s is a complex variable and aₙ are complex coefficients, used extensively in analytic number theory to study arithmetic functions and L-functions.
  • 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_69d8dd040fb881909af2a964f65ad208 completed April 10, 2026, 11:20 a.m.
Created at: April 10, 2026, 12:03 p.m.