Triple
T6282458
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lie subgroup |
E140811
|
entity |
| Predicate | hasTangentSpaceAtIdentity |
P28830
|
FINISHED |
| Object | Lie subalgebra of the ambient Lie algebra |
—
|
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: Lie subalgebra of the ambient Lie algebra | Statement: [Lie subgroup, hasTangentSpaceAtIdentity, Lie subalgebra of the ambient Lie algebra]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasTangentSpaceAtIdentity Context triple: [Lie subgroup, hasTangentSpaceAtIdentity, Lie subalgebra of the ambient Lie algebra]
-
A.
hasLieAlgebra
chosen
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
B.
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.
-
C.
hasJacobian
Indicates that one entity is the Jacobian (derivative matrix) associated with another entity, typically describing how that entity changes with respect to its variables.
-
D.
hasStandardBasis
Indicates that a given vector space is equipped with or possesses its usual canonical set of basis vectors.
-
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_69c008cd17c8819082b82d3fbeb68047 |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c063f956c08190ae0f198ccbd68b42 |
completed | March 22, 2026, 9:49 p.m. |
| PD | Predicate disambiguation | batch_69c05608a5608190b22a1fdc4060470d |
completed | March 22, 2026, 8:50 p.m. |
Created at: March 22, 2026, 4:26 p.m.