Triple
T38438183
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lefschetz number |
E904006
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | fixed point invariant |
C52317
|
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: fixed point invariant Context triple: [Lefschetz number, instanceOf, fixed point invariant]
-
A.
invariant
An invariant is a property or condition of a system that remains unchanged throughout its execution or transformations, despite variations in other aspects.
-
B.
local invariant
A local invariant is a property or quantity associated with a specific point or small neighborhood in a mathematical or physical structure that remains unchanged under a given class of local transformations.
-
C.
integer-valued invariant
chosen
An integer-valued invariant is a property of a mathematical object that assigns an integer in a way that remains unchanged under a specified class of transformations or equivalences.
-
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.
invariant splitting
An invariant splitting is a decomposition of a vector space or manifold’s tangent space into complementary subspaces that are preserved under the action of a given linear operator or dynamical system.
- 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_69f76e6a2024819081aa04f4932f89d2 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:31 p.m.