Triple

T13035743
Position Surface form Disambiguated ID Type / Status
Subject Monge problem in optimal transport E326555 entity
Predicate hasConditionForUniqueness P1255 FINISHED
Object strict convexity of cost 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: strict convexity of cost function | Statement: [Monge problem in optimal transport, hasConditionForUniqueness, strict convexity of cost function]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasConditionForUniqueness
Context triple: [Monge problem in optimal transport, hasConditionForUniqueness, strict convexity of cost function]
  • A. uniquenessCondition
    Indicates that a specified element, value, or combination of attributes must be unique within a given set, context, or domain, with no duplicates allowed.
  • B. hasCondition chosen
    Indicates that an entity possesses, experiences, or is affected by a particular condition or state.
  • C. typeOfUniqueness
    Indicates that one entity’s uniqueness is characterized, classified, or constrained by the specific kind or mode of uniqueness associated with another entity.
  • D. hasUniqueStatus
    Indicates that an entity possesses a status or condition that is distinct and not shared with any other entity in the given context.
  • E. containsCondition
    Indicates that one entity includes, embodies, or is associated with a particular condition.
  • 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.