Triple

T18479786
Position Surface form Disambiguated ID Type / Status
Subject Lebesgue differentiation theorem E451526 entity
Predicate robustUnder P27209 FINISHED
Object choice of reasonable differentiation bases such as balls or cubes 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: choice of reasonable differentiation bases such as balls or cubes | Statement: [Lebesgue differentiation theorem, robustUnder, choice of reasonable differentiation bases such as balls or cubes]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: robustUnder
Context triple: [Lebesgue differentiation theorem, robustUnder, choice of reasonable differentiation bases such as balls or cubes]
  • A. under
    Indicates that one entity is positioned below or beneath another entity, often implying vertical alignment or coverage.
  • B. holdsUnder chosen
    Indicates that one entity maintains possession, control, or validity of another entity subject to certain conditions, constraints, or a specific context.
  • C. strongerAt
    Indicates that one entity has greater strength, power, or effectiveness than another in a specified context, condition, or domain.
  • D. underpins
    Indicates that one entity serves as the fundamental basis, support, or justification for another.
  • E. underlies
    Indicates that one entity serves as a fundamental basis, support, or underlying cause for another entity, condition, or phenomenon.
  • 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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53066a7108190a50eda9b489c90ca completed April 19, 2026, 7:43 p.m.
PD Predicate disambiguation batch_69e469d671088190b619de96ea6f92ab completed April 19, 2026, 5:36 a.m.
Created at: April 10, 2026, 11:35 a.m.