Triple
T36876895
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grassmann manifolds |
E911363
|
entity |
| Predicate | hasInvariantMetric |
P63675
|
FINISHED |
| Object | metric induced from Killing form on Lie group |
—
|
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: metric induced from Killing form on Lie group | Statement: [Grassmann manifolds, hasInvariantMetric, metric induced from Killing form on Lie group]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasInvariantMetric Context triple: [Grassmann manifolds, hasInvariantMetric, metric induced from Killing form on Lie group]
-
A.
isRiemannianMetricOn
chosen
Indicates that one object serves as a Riemannian metric defined on another object, typically a manifold, specifying an inner product on each tangent space.
-
B.
hasRicciScalar
Indicates that an entity (typically a spacetime or geometric manifold) is associated with a specific value of the Ricci scalar curvature derived from its metric.
-
C.
isFinslerMetric
Indicates that a given structure on a manifold defines a Finsler metric, i.e., a norm on each tangent space that varies smoothly and satisfies the Finsler metric axioms.
-
D.
hasCurvatureInvariant
Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.
-
E.
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.
- 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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_6a00ca5e907481909d391afd55938a1b |
completed | May 10, 2026, 6:11 p.m. |
| PD | Predicate disambiguation | batch_6a00ca2214348190a674a85ede709e2e |
completed | May 10, 2026, 6:10 p.m. |
Created at: May 3, 2026, 4:13 p.m.