Triple
T5837358
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hodge theory |
E129504
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theory in differential geometry |
C13705
|
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: theory in differential geometry Context triple: [Hodge theory, instanceOf, theory in differential geometry]
-
A.
branch of differential geometry
chosen
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.
-
B.
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.
-
C.
geometric theory of gravity
A geometric theory of gravity describes gravitational phenomena as manifestations of the curvature or structure of spacetime itself, rather than as a traditional force acting at a distance.
-
D.
pseudo-Riemannian manifold
A pseudo-Riemannian manifold is a smooth manifold equipped with a nondegenerate, symmetric metric tensor of arbitrary signature that allows measurement of lengths and angles, including those with indefinite sign as in spacetime geometry.
-
E.
gauge theory
A gauge theory is a type of field theory in which the laws of physics are invariant under continuous local transformations of certain internal symmetries, leading to the introduction of gauge fields that mediate fundamental interactions.
- 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_69c0084af79c81908af128ccc29983d0 |
completed | March 22, 2026, 3:18 p.m. |
Created at: March 22, 2026, 3:54 p.m.