Triple

T14334756
Position Surface form Disambiguated ID Type / Status
Subject Ramanujan’s sum E355439 entity
Predicate hasSeriesUse P53947 FINISHED
Object basis for expansions of arithmetic functions with period q 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: basis for expansions of arithmetic functions with period q | Statement: [Ramanujan’s sum, hasSeriesUse, basis for expansions of arithmetic functions with period q]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasSeriesUse
Context triple: [Ramanujan’s sum, hasSeriesUse, basis for expansions of arithmetic functions with period q]
  • A. usedInSeries chosen
    Indicates that something (such as an element, component, or concept) is employed or appears within a particular series.
  • B. hasSeriesNumber
    Indicates that an entity is assigned a specific ordinal or sequence number within a series or ordered set.
  • C. hasHumanUse
    Indicates that something is used, employed, or utilized by humans for a particular purpose or benefit.
  • D. hasStandardSeries
    Indicates that an entity is associated with, or belongs to, a designated standard series or standardized sequence.
  • E. hasSupportSeries
    Indicates that one entity is backed, reinforced, or maintained by a sequence or set of supporting elements provided by another entity.
  • 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_69d8278fa2108190bc0d0e7939c1eb03 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de8c20d2148190bb534bef338e871d completed April 14, 2026, 6:49 p.m.
PD Predicate disambiguation batch_69de2a9515f4819081aabf251bca5878 completed April 14, 2026, 11:52 a.m.
Created at: April 10, 2026, 1:13 a.m.