Triple
T17772183
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gaussian unitary ensemble |
E443666
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | unitary invariant ensemble |
C30702
|
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: unitary invariant ensemble Context triple: [Gaussian unitary ensemble, instanceOf, unitary invariant ensemble]
-
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.
even unimodular lattice
An even unimodular lattice is a free abelian group of finite rank equipped with a positive-definite symmetric bilinear form whose Gram matrix has determinant 1 and for which the squared length of every lattice vector is an even integer.
-
C.
projective unitary representation
A projective unitary representation is a map from a group to unitary operators on a Hilbert space that preserves group multiplication up to a phase factor, i.e., up to multiplication by complex numbers of modulus one.
-
D.
statistical ensemble
chosen
A statistical ensemble is a large collection of hypothetical copies of a system, each representing a possible microstate consistent with given macroscopic conditions, used to calculate average physical properties in statistical mechanics.
-
E.
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.
- 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_69d8b9ef17708190bdf7e2adbf14ddc2 |
completed | April 10, 2026, 8:50 a.m. |
Created at: April 10, 2026, 10:11 a.m.