Triple

T2815359
Position Surface form Disambiguated ID Type / Status
Subject Euler’s totient function φ(n) E54269 entity
Predicate instanceOf P0 FINISHED
Object number-theoretic function C3507 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: number-theoretic function
Context triple: [Euler’s totient function φ(n), instanceOf, number-theoretic function]
  • A. 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.
  • B. Conway number
    A Conway number is a recursively defined number system introduced by John Conway that generalizes real numbers and ordinals, allowing arithmetic and game-theoretic values to be represented within a unified framework.
  • C. mathematical object chosen
    A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
  • D. random variable functional
    A random variable functional is a mapping that takes one or more random variables (or their distributions) as input and returns a real-valued quantity summarizing some aspect of their probabilistic behavior.
  • E. mathematical structure
    A mathematical structure is a set (or collection of objects) equipped with specified operations, relations, or properties that satisfy given axioms, providing a framework for studying abstract patterns and relationships.
  • 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_69ab49de0af08190b3da69683be1e728 completed March 6, 2026, 9:40 p.m.
Created at: March 6, 2026, 9:59 p.m.