Triple
T35332740
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kantorovich problem in optimal transport |
E1020368
|
entity |
| Predicate | dualVariables |
P31338
|
FINISHED |
| Object | Kantorovich potentials |
—
|
NE NERFINISHED |
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: Kantorovich potentials | Statement: [Kantorovich problem in optimal transport, dualVariables, Kantorovich potentials]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: dualVariables Context triple: [Kantorovich problem in optimal transport, dualVariables, Kantorovich potentials]
-
A.
conjugateVariable
Indicates that one variable is the conjugate counterpart of another, typically related by a conjugation operation such as complex, algebraic, or canonical conjugation.
-
B.
dualPair
chosen
Indicates that two entities form a dual pair, standing in a mathematically defined dual relationship where each is the dual counterpart of the other.
-
C.
coordinateVariables
Indicates that the variables are aligned or paired together in a shared coordinate system or structured correspondence.
-
D.
domainOfVariables
Indicates that the predicate specifies the set or type of values that the variables involved in an expression or formula are allowed to take.
-
E.
hasDualBasis
Indicates that one mathematical structure serves as the dual basis corresponding to another basis, typically in a dual vector space.
- 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_69f76deacf4481908e7735a5a7715b0a |
completed | May 3, 2026, 3:46 p.m. |
| NER | Named-entity recognition | batch_69f79533b88c8190934ec4cb21770e24 |
completed | May 3, 2026, 6:34 p.m. |
| PD | Predicate disambiguation | batch_69f79104f5b48190a496cdffde8472da |
completed | May 3, 2026, 6:16 p.m. |
Created at: May 3, 2026, 4:03 p.m.