Triple

T12596994
Position Surface form Disambiguated ID Type / Status
Subject Jordan’s totient functions E300758 entity
Predicate generatingFunctionType P46242 FINISHED
Object Dirichlet generating function LITERAL FINISHED

How this triple was built (2 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Dirichlet generating function | Statement: [Jordan’s totient functions, generatingFunctionType, Dirichlet generating function]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: generatingFunctionType
Context triple: [Jordan’s totient functions, generatingFunctionType, Dirichlet generating function]
  • A. hasGeneratingFunction chosen
    Indicates that one entity serves as the generating function associated with, or defining, another entity.
  • B. hasGeneratorType
    Indicates that an entity is associated with or uses a specific type or category of generator.
  • C. generationMethod
    Indicates the process, technique, or procedure by which something is created, produced, or derived.
  • D. hasGeneralFormula
    Indicates that an entity (such as a class of compounds or expressions) is characterized by a general or canonical formula that represents all its specific instances.
  • E. codeType
    Indicates the classification or category assigned to a particular code within a coding or encoding system.
  • F. None of above.

Provenance (3 batches)

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_69d7bdea2ca881908f379526c13b1145 completed April 9, 2026, 2:55 p.m.
NER Named-entity recognition batch_69d954e6e20481908bca684c4b497c48 completed April 10, 2026, 7:52 p.m.
PD Predicate disambiguation batch_69d95416cbd88190b2c65196162349bc completed April 10, 2026, 7:48 p.m.
Created at: April 9, 2026, 5:08 p.m.