Triple
T25851746
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Arnold conjecture |
E651228
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | statement in symplectic geometry |
C50799
|
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: statement in symplectic geometry Context triple: [Arnold conjecture, instanceOf, statement in symplectic geometry]
-
A.
theory in symplectic geometry
A theory in symplectic geometry is a coherent framework of definitions, structures, and results that studies manifolds equipped with a closed, nondegenerate 2-form and the geometric, dynamical, and topological phenomena arising from this structure.
-
B.
problem in differential geometry
A problem in differential geometry involves analyzing and solving questions about the properties of curves, surfaces, and higher-dimensional manifolds using tools from calculus, linear algebra, and topology.
-
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.
geometric invariant
A geometric invariant is a property of a geometric object that remains unchanged under a specified group of transformations, such as rotations, translations, or more general symmetries.
-
E.
generalization of Poisson bracket
A generalization of the Poisson bracket is a bilinear operation on functions (or observables) that extends the classical Poisson structure—often relaxing antisymmetry, the Jacobi identity, or locality—to encompass broader algebraic or geometric frameworks such as Nambu, Gerstenhaber, or higher/derived brackets.
- 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_69e7ab39035c8190be15c8aaee1bb858 |
completed | April 21, 2026, 4:52 p.m. |
Created at: April 22, 2026, 7:58 a.m.