Triple

T19050893
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet convolution E466252 entity
Predicate identityFunctionDefinition P57965 FINISHED
Object δ(1)=1 and δ(n)=0 for n>1 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: δ(1)=1 and δ(n)=0 for n>1 | Statement: [Dirichlet convolution, identityFunctionDefinition, δ(1)=1 and δ(n)=0 for n>1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: identityFunctionDefinition
Context triple: [Dirichlet convolution, identityFunctionDefinition, δ(1)=1 and δ(n)=0 for n>1]
  • A. definesFunctioningOf
    Indicates that one entity specifies or determines how another entity operates or functions.
  • B. identifierFor
    Indicates that one entity serves as a unique identifying label or code for another entity.
  • C. identityBasis
    Indicates that one entity serves as the defining basis, criterion, or foundation for determining the identity of another entity.
  • D. definitionType chosen
    Indicates the specific kind or category of definition that characterizes how one entity is defined in relation to another.
  • E. establishedBodyFunction
    Indicates that an entity has created, defined, or instituted an official organizational structure, group, or body to perform a specific function or role.
  • 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_69d8dd040fb881909af2a964f65ad208 completed April 10, 2026, 11:20 a.m.
NER Named-entity recognition batch_69e5dc02597c8190b39fd2c7b7e42258 completed April 20, 2026, 7:55 a.m.
PD Predicate disambiguation batch_69e4b99633c8819097988608c278ecf8 completed April 19, 2026, 11:16 a.m.
Created at: April 10, 2026, 12:03 p.m.