Triple
T38260717
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brenier map |
E1017920
|
entity |
| Predicate | isPushforwardMapOf |
P190216
|
FINISHED |
| Object | convex potential gradient |
—
|
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: convex potential gradient | Statement: [Brenier map, isPushforwardMapOf, convex potential gradient]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isPushforwardMapOf Context triple: [Brenier map, isPushforwardMapOf, convex potential gradient]
-
A.
hasQuotientMapFrom
Indicates that there exists a quotient map from one space or structure onto another, making the latter the quotient of the former under some equivalence relation or identification.
-
B.
hasCanonicalMapFrom
Indicates that there exists a standard or uniquely determined structure-preserving map from one entity to another.
-
C.
hasCoveringMapTo
Indicates that one mathematical space is related to another by a covering map, i.e., a continuous surjective map where each point in the target has a neighborhood evenly covered by disjoint homeomorphic copies in the source.
-
D.
isRegularMap
Indicates that a mapping between two mathematical structures preserves the required regularity conditions (such as continuity, differentiability, or algebraic regularity) specified for that context.
-
E.
isDiffeomorphicTo
Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
- 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_69f76de33e4481909099fa812709bd42 |
completed | May 3, 2026, 3:46 p.m. |
| NER | Named-entity recognition | batch_69fcc3321ef081908023590ba70ba0cf |
completed | May 7, 2026, 4:52 p.m. |
| PD | Predicate disambiguation | batch_69fcb0fdc6e08190b05e894c59481a0d |
completed | May 7, 2026, 3:34 p.m. |
| PDg | Predicate description generation | batch_69fcc330b4288190858b49d986160706 |
completed | May 7, 2026, 4:52 p.m. |
Created at: May 3, 2026, 4:30 p.m.