Triple
T34585671
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S^2 × R geometry |
E888036
|
entity |
| Predicate | isProductOfConstantCurvatureSpaces |
P179672
|
FINISHED |
| Object | true |
—
|
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: true | Statement: [S^2 × R geometry, isProductOfConstantCurvatureSpaces, true]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isProductOfConstantCurvatureSpaces Context triple: [S^2 × R geometry, isProductOfConstantCurvatureSpaces, true]
-
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.
isConformallyFlat
Indicates that a geometric space or metric can be transformed by a smooth, position-dependent scaling into a flat (Euclidean or Minkowski) metric, preserving angles but not necessarily lengths.
-
C.
isConformalGroupOf
Indicates that one entity is the conformal symmetry group associated with another entity, typically preserving angles and the conformal structure of that object or space.
-
D.
isGeodesicallyComplete
Indicates that every geodesic in the given space can be extended indefinitely in both directions without leaving the space.
-
E.
isHomogeneousSpaceOf
Indicates that one mathematical space forms a homogeneous space under the transitive action of another (typically a group), meaning the acting structure moves any point of the space to any other point.
- 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
| NER | Named-entity recognition | batch_69f7238172748190b8cd340ad1f4ba80 |
completed | May 3, 2026, 10:29 a.m. |
| PD | Predicate disambiguation | batch_69f72155c48881909bd40b9aa3febd5a |
completed | May 3, 2026, 10:20 a.m. |
| PDg | Predicate description generation | batch_69f72349f1108190b6a06758ab2f40bb |
completed | May 3, 2026, 10:28 a.m. |
Created at: May 1, 2026, 2:03 a.m.