Triple
T20627253
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pfaffian form |
E506851
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | differential 1-form |
C27995
|
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: differential 1-form Context triple: [Pfaffian form, instanceOf, differential 1-form]
-
A.
differential geometric object
A differential geometric object is a mathematical entity, such as a manifold, tensor, or connection, defined on smooth spaces and characterized by properties that are invariant under smooth coordinate transformations.
-
B.
alternating form
chosen
An alternating form is a multilinear map on a vector space that changes sign whenever two of its arguments are swapped, and hence vanishes whenever any two arguments are equal.
-
C.
example in differential topology
An example in differential topology is a specific smooth manifold or smooth map, often constructed to illustrate or test particular concepts such as smooth structures, embeddings, immersions, or invariants.
-
D.
branch of differential geometry
A branch of differential geometry is a specialized area of study within differential geometry that focuses on analyzing smooth manifolds and related geometric structures using differential and integral calculus techniques.
-
E.
elliptic differential operator
An elliptic differential operator is a linear differential operator whose principal symbol is invertible away from the zero section, ensuring strong regularity and smoothing properties for its solutions.
- 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_69e0b4bd4a0081908d4e97a590a33fb2 |
completed | April 16, 2026, 10:06 a.m. |
Created at: April 16, 2026, 11:42 a.m.