Triple
T5256369
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carathéodory–Jacobi–Lie theorem |
E118708
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in symplectic geometry |
C716
|
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: theorem in symplectic geometry Context triple: [Carathéodory–Jacobi–Lie theorem, instanceOf, theorem in symplectic geometry]
-
A.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
B.
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.
-
C.
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.
-
D.
tool in geometric analysis
A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
-
E.
geometric structure
A geometric structure is an abstract mathematical entity defined by sets of points and the relationships between them (such as distances, angles, or incidences) that determine its shape and spatial 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_69bd446978108190bb5f9c5c23d93f88 |
completed | March 20, 2026, 12:58 p.m. |
Created at: March 20, 2026, 1:50 p.m.