Triple
T26255186
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré upper half-plane model |
E656696
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | conformal model of the hyperbolic plane |
C51336
|
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: conformal model of the hyperbolic plane Context triple: [Poincaré upper half-plane model, instanceOf, conformal model of the hyperbolic plane]
-
A.
Kleinian group
A Kleinian group is a discrete subgroup of the group of Möbius transformations acting on the Riemann sphere (or equivalently on hyperbolic 3-space), often studied via its geometric and dynamical properties.
-
B.
geodesic in moduli space
A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
-
C.
Penrose diagram
A Penrose diagram is a spacetime diagram used in general relativity that compactifies infinite regions to finite size, allowing the global causal structure of a spacetime to be visualized.
-
D.
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.
-
E.
projective plane of order 2
A projective plane of order 2 is a finite incidence structure with 7 points and 7 lines where each line contains 3 points, each point lies on 3 lines, and any two distinct points (or lines) determine a unique line (or point).
- F. None of above. chosen
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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
Created at: April 26, 2026, 9:08 p.m.