Triple
T32789965
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gröbner fan |
E838598
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | polyhedral fan |
C61361
|
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: polyhedral fan Context triple: [Gröbner fan, instanceOf, polyhedral fan]
-
A.
polyhedral optimizer
A polyhedral optimizer is a compiler component that analyzes and transforms loop nests using polyhedral models to improve performance through advanced loop restructuring, parallelization, and locality optimization.
-
B.
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.
-
C.
fibration
A fibration is a structure-preserving map between spaces (often in topology or category theory) that behaves like a fiber bundle, allowing one to consistently view the domain as being “fibered” over the codomain.
-
D.
algebraic variety
An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
-
E.
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.
- 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_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:14 a.m.