Triple

T10992134
Position Surface form Disambiguated ID Type / Status
Subject Fourier inversion theorem E259775 entity
Predicate isFormulatedUsing P96516 FINISHED
Object Lebesgue integration 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: Lebesgue integration | Statement: [Fourier inversion theorem, isFormulatedUsing, Lebesgue integration]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isFormulatedUsing
Context triple: [Fourier inversion theorem, isFormulatedUsing, Lebesgue integration]
  • A. hasFormulation
    Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
  • B. formulatedIn
    Indicates that something was created, developed, or expressed within a particular context, place, or framework.
  • C. isFormedFor
    Indicates that something is created, established, or brought into existence for a particular purpose, function, or beneficiary.
  • D. coFormulated
    Indicates that two or more entities were jointly formulated, designed, or created together as part of the same process or product.
  • E. hasFormulationType
    Indicates the specific way something is physically prepared or presented, such as its dosage form, composition, or delivery format.
  • 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
PD Predicate disambiguation batch_69d72e93ac648190b46c5d12bf3eb1e9 completed April 9, 2026, 4:44 a.m.
PDg Predicate description generation batch_69d732242fdc8190be77d1f730a42935 completed April 9, 2026, 4:59 a.m.
Created at: April 8, 2026, 9:24 p.m.