Triple
T3821364
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Atiyah–Singer index theorem |
E84379
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | index theorem |
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: index theorem Context triple: [Atiyah–Singer index theorem, instanceOf, index theorem]
-
A.
Green’s function in Euclidean space
A Green’s function in Euclidean space is a fundamental solution to a linear differential operator that represents the response at one point due to a unit source located at another point, enabling the construction of solutions to boundary value problems via superposition.
-
B.
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.
-
C.
integration theory
Integration theory is a branch of mathematical analysis that rigorously defines and studies the process of assigning numerical values (integrals) to functions, generalizing area, accumulation, and measure concepts under various frameworks such as Riemann and Lebesgue integration.
-
D.
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.
-
E.
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.
- 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_69aed931f5908190be2c07af66d4df25 |
completed | March 9, 2026, 2:29 p.m. |
Created at: March 9, 2026, 3:17 p.m.