Triple

T13035742
Position Surface form Disambiguated ID Type / Status
Subject Monge problem in optimal transport E326555 entity
Predicate hasConditionForExistence P67472 FINISHED
Object absolute continuity of source measure for quadratic cost 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: absolute continuity of source measure for quadratic cost | Statement: [Monge problem in optimal transport, hasConditionForExistence, absolute continuity of source measure for quadratic cost]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasConditionForExistence
Context triple: [Monge problem in optimal transport, hasConditionForExistence, absolute continuity of source measure for quadratic cost]
  • A. hasCondition
    Indicates that an entity possesses, experiences, or is affected by a particular condition or state.
  • B. existsIf chosen
    Indicates that the existence or validity of one entity or condition depends on the presence or truth of another specified condition.
  • C. hasExistentiale
    Indicates that an entity possesses or is associated with an existential characteristic, condition, or mode of being.
  • D. containsCondition
    Indicates that one entity includes, embodies, or is associated with a particular condition.
  • E. hasNumberOfConditions
    Indicates that an entity is associated with a specific count of conditions it has or is subject to.
  • 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_69d8076cc45c81908123123f43e69266 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d97f2a71a0819098bb6cf8a4b2208a completed April 10, 2026, 10:52 p.m.
PD Predicate disambiguation batch_69d97dc39a0881908119c62e31bf6182 completed April 10, 2026, 10:46 p.m.
Created at: April 9, 2026, 8:55 p.m.