Triple
T27674996
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert symbol |
E697755
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | invariant |
C53147
|
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: invariant Context triple: [Hilbert symbol, instanceOf, invariant]
-
A.
integer-valued invariant
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.
-
B.
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.
-
C.
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.
-
D.
classical invariant
A classical invariant is a quantity or property associated with a mathematical object that remains unchanged under a specified group of classical transformations, such as rotations, translations, or linear changes of coordinates.
-
E.
object in invariant theory
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
- 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_69ef590d458c81909583290c3cd0478b |
completed | April 27, 2026, 12:39 p.m. |
Created at: April 27, 2026, 2:43 p.m.