Triple

T37258354
Position Surface form Disambiguated ID Type / Status
Subject Mertens theorems E924193 entity
Predicate instanceOf P0 FINISHED
Object theorems in number theory C65795 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: theorems in number theory
Context triple: [Mertens theorems, instanceOf, theorems in number theory]
  • A. theory in algebraic number theory
    A theory in algebraic number theory is a coherent framework of definitions, structures, and results that explains and predicts arithmetic properties of algebraic numbers and related objects such as number fields, ideals, and Galois groups.
  • 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. number theory work
    A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
  • D. inequality in number theory
    Inequality in number theory is a conceptual class that studies relationships expressing that one number-theoretic quantity is greater or smaller than another, often to bound functions like divisor counts, prime distributions, or arithmetic functions.
  • E. 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.
  • 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_69f76eabd6c481909d414a80a1345c98 completed May 3, 2026, 3:50 p.m.
Created at: May 3, 2026, 4:15 p.m.