Triple
T36470023
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville surface |
E898516
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Riemannian surface |
C3971
|
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: Riemannian surface Context triple: [Liouville surface, instanceOf, Riemannian surface]
-
A.
complex surface
A complex surface is a two-dimensional complex manifold (equivalently, a four-dimensional real manifold) equipped with a holomorphic structure, often studied via its complex-analytic, algebraic, and topological properties.
-
B.
hypersurface
A hypersurface is a high-dimensional generalization of a surface, defined as a subset of an n-dimensional space that has dimension n−1.
-
C.
simply connected surface
A simply connected surface is a two-dimensional topological space in which every closed loop can be continuously contracted to a point without leaving the surface.
-
D.
Lorentzian manifold
A Lorentzian manifold is a smooth manifold equipped with a metric tensor of signature \((-+\cdots+)\) (or its variants) that models spacetime in general relativity by distinguishing timelike, spacelike, and null directions.
-
E.
pseudo-Riemannian manifold
chosen
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.