Triple

T37475758
Position Surface form Disambiguated ID Type / Status
Subject Hurwitz zeta function E931273 entity
Predicate functionalEquationType P187806 FINISHED
Object generalized functional equation extending that of Riemann zeta 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: generalized functional equation extending that of Riemann zeta function | Statement: [Hurwitz zeta function, functionalEquationType, generalized functional equation extending that of Riemann zeta function]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: functionalEquationType
Context triple: [Hurwitz zeta function, functionalEquationType, generalized functional equation extending that of Riemann zeta function]
  • A. functionalEquationPartProvedBy
    Indicates that a specific part or component of a functional equation has been proven or established by a particular proof, method, or agent.
  • B. formulaType
    Indicates the specific kind or category of formula associated with an entity or expression.
  • C. mathematicallyExpressedBy
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • D. epithetOfFunction
    Indicates that a descriptive label or epithet is used to denote or characterize a particular function.
  • E. functie
    Indicates that one entity serves as a function, role, or operational purpose in relation to another entity.
  • F. None of above. chosen

Provenance (4 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_69f76ec2af148190897d101070d7f415 completed May 3, 2026, 3:50 p.m.
NER Named-entity recognition batch_69fb8e652328819082cff21f5a1fe709 completed May 6, 2026, 6:54 p.m.
PD Predicate disambiguation batch_69fb8d0c53c08190b64291bac58cdb4c completed May 6, 2026, 6:48 p.m.
PDg Predicate description generation batch_69fb8dfe70d08190b2558cdfcc1b15c0 completed May 6, 2026, 6:52 p.m.
Created at: May 3, 2026, 4:17 p.m.