Triple
T11098874
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Clebsch diagonal surface |
E262450
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | smooth cubic surface |
C18972
|
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: smooth cubic surface Context triple: [Clebsch diagonal surface, instanceOf, smooth cubic surface]
-
A.
nonsingular curve
A nonsingular curve is an algebraic curve with no singular points, meaning it is smooth everywhere and has a well-defined tangent line at every point.
-
B.
spline
A spline is a smooth, piecewise-defined mathematical curve constructed from polynomial segments joined together with continuity constraints, commonly used for interpolation, approximation, and geometric modeling.
-
C.
closed surface
A closed surface is a continuous two-dimensional manifold in three-dimensional space that is finite in extent and has no boundary, completely enclosing a volume.
-
D.
lemniscate
A lemniscate is a plane curve shaped like a figure-eight or infinity symbol, typically defined by a specific algebraic equation that produces two symmetric loops meeting at a point.
-
E.
algebraic variety
chosen
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.
- 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_69d6aa9a40d88190a373e2c7e48285db |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:27 p.m.