Triple
T25549988
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Mordell curve |
E640411
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | plane cubic curve |
C19257
|
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: plane cubic curve Context triple: [Mordell curve, instanceOf, plane cubic curve]
-
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.
cubic graph
A cubic graph is a graph in which every vertex has degree exactly three, meaning each vertex is connected to exactly three edges.
-
C.
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.
-
D.
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.
-
E.
curve over the rational numbers
chosen
A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic 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_69e75dc101a881909fd33b02174e9768 |
completed | April 21, 2026, 11:21 a.m. |
Created at: April 21, 2026, 3:36 p.m.