Triple
T13035746
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Monge problem in optimal transport |
E326555
|
entity |
| Predicate | solutionRegularity |
P107555
|
FINISHED |
| Object | linked to regularity of Monge–Ampère type equations |
—
|
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: linked to regularity of Monge–Ampère type equations | Statement: [Monge problem in optimal transport, solutionRegularity, linked to regularity of Monge–Ampère type equations]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: solutionRegularity Context triple: [Monge problem in optimal transport, solutionRegularity, linked to regularity of Monge–Ampère type equations]
-
A.
regularityAssumption
Indicates that a relationship or process is assumed to behave in a consistent, well-behaved manner (e.g., continuity, smoothness, or stability) so that certain analyses or inferences are valid.
-
B.
solutionType
Indicates the specific category or kind of solution associated with an entity or problem.
-
C.
wellPosedness
Indicates that a problem or system satisfies the conditions (such as existence, uniqueness, and stability of solutions) required to be considered mathematically well-posed.
-
D.
admitsSolution
Indicates that a problem, system, or situation allows for or possesses at least one valid solution.
-
E.
hasRegularity
Indicates that one entity exhibits a consistent, recurring pattern or uniform behavior with respect to another entity or over time.
- 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_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. |
| PDg | Predicate description generation | batch_69d97e3df2288190a7f27d31d248bb7f |
completed | April 10, 2026, 10:48 p.m. |
Created at: April 9, 2026, 8:55 p.m.