Triple
T34585683
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Nil geometry |
E888037
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Thurston geometry |
C3505
|
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: Thurston geometry Context triple: [Nil geometry, instanceOf, Thurston geometry]
-
A.
model of hyperbolic geometry
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.
-
B.
geometric structure
chosen
A geometric structure is an abstract mathematical entity defined by sets of points and the relationships between them (such as distances, angles, or incidences) that determine its shape and spatial properties.
-
C.
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.
-
D.
geodesic structure
A geodesic structure is a framework composed of short, straight elements arranged along geodesic lines on a surface to create a lightweight, stable, and often dome-like form.
-
E.
geometer
A geometer is a mathematician who studies the properties, relationships, and structures of shapes, spaces, and figures in 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
Created at: May 1, 2026, 2:03 a.m.