Triple
T36468957
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré metric |
E898491
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | metric of constant negative curvature |
C51335
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: metric of constant negative curvature Context triple: [Poincaré metric, instanceOf, metric of constant negative curvature]
-
A.
conformal model of the hyperbolic plane
A conformal model of the hyperbolic plane is a geometric representation (such as the Poincaré disk or upper half-plane) in which hyperbolic lines and distances are depicted so that angles are preserved while the metric differs from the Euclidean one.
-
B.
model of hyperbolic geometry
chosen
A model of hyperbolic geometry is a mathematical structure that represents the axioms and properties of hyperbolic space—where, unlike in Euclidean geometry, through any point not on a given line there exist infinitely many parallel lines—within a concrete setting such as the Poincaré disk or upper half-plane.
-
C.
Kähler metric
A Kähler metric is a Riemannian metric on a complex manifold that is compatible with both the complex structure and a symplectic form, such that the associated Kähler form is closed.
-
D.
Hermitian metric
A Hermitian metric is a smoothly varying, positive-definite Hermitian inner product on the tangent spaces of a complex manifold, compatible with its complex structure.
-
E.
pseudo-Riemannian manifold
A pseudo-Riemannian manifold is a smooth manifold equipped with a nondegenerate, symmetric metric tensor of arbitrary signature that allows measurement of lengths and angles, including those with indefinite sign as in spacetime geometry.
- F. None of above.
Provenance (1 batch)
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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.