Triple

T25432538
Position Surface form Disambiguated ID Type / Status
Subject Liouville function E637296 entity
Predicate instanceOf P0 FINISHED
Object completely multiplicative function C24992 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: completely multiplicative function
Context triple: [Liouville function, instanceOf, completely multiplicative function]
  • A. arithmetical function chosen
    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 arithmetic functions
    An operation on arithmetic functions is a rule that combines one or more arithmetic functions (defined on the positive integers) to produce a new arithmetic function, such as via addition, multiplication, convolution, or composition.
  • C. multiplicative character modulo p
    A multiplicative character modulo p is a homomorphism from the multiplicative group of nonzero residues modulo a prime p to the complex numbers of absolute value 1, extended by defining its value at 0 (often as 0).
  • 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.

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.