Triple
T34585663
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S^2 × R geometry |
E888036
|
entity |
| Predicate | sectionalCurvatureInPlanesContainingRDirection |
P161401
|
FINISHED |
| Object | nonpositive or zero depending on metric choice |
—
|
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: nonpositive or zero depending on metric choice | Statement: [S^2 × R geometry, sectionalCurvatureInPlanesContainingRDirection, nonpositive or zero depending on metric choice]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: sectionalCurvatureInPlanesContainingRDirection Context triple: [S^2 × R geometry, sectionalCurvatureInPlanesContainingRDirection, nonpositive or zero depending on metric choice]
-
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.
RiemannTensor
Indicates how much and in what way a manifold’s geometry deviates from flatness by describing the curvature through the failure of parallel-transported vectors to return unchanged.
-
C.
RicciTensor
Indicates the curvature relationship between nearby geodesics in a space(time), summarizing how matter or energy causes volumes to converge or diverge through the contraction of the Riemann curvature tensor.
-
D.
curvatureCondition
chosen
Indicates that a specified geometric object or path satisfies a particular constraint or requirement on its curvature.
-
E.
isRiemannianMetricOn
Indicates that one object serves as a Riemannian metric defined on another object, typically a manifold, specifying an inner product on each tangent 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
| NER | Named-entity recognition | batch_69f7234bcaa48190ac970759d34e254a |
completed | May 3, 2026, 10:28 a.m. |
| PD | Predicate disambiguation | batch_69f72155c48881909bd40b9aa3febd5a |
completed | May 3, 2026, 10:20 a.m. |
Created at: May 1, 2026, 2:03 a.m.