Triple
T34585662
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S^2 × R geometry |
E888036
|
entity |
| Predicate | sectionalCurvatureInS2Planes |
P28570
|
FINISHED |
| Object | constant positive |
—
|
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: constant positive | Statement: [S^2 × R geometry, sectionalCurvatureInS2Planes, constant positive]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: sectionalCurvatureInS2Planes Context triple: [S^2 × R geometry, sectionalCurvatureInS2Planes, constant positive]
-
A.
hasConstantHolomorphicSectionalCurvature
Indicates that a geometric space has holomorphic sectional curvature that is the same constant value at every point and in every complex tangent direction.
-
B.
curvatureCondition
Indicates that a specified geometric object or path satisfies a particular constraint or requirement on its curvature.
-
C.
exampleSurfaceWithPositiveCurvature
chosen
Indicates that the example surface exhibits positive curvature at the relevant points or regions.
-
D.
hasCurvatureInvariant
Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.
-
E.
usesCurvature
Indicates that one entity applies or relies on the curvature property or measure of another entity in its operation, definition, or analysis.
- 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
| NER | Named-entity recognition | batch_69f720c7ea608190bd92d69643330823 |
completed | May 3, 2026, 10:17 a.m. |
| PD | Predicate disambiguation | batch_69f71cc8074c81909ae09bea2acf1a09 |
completed | May 3, 2026, 10 a.m. |
Created at: May 1, 2026, 2:03 a.m.