Triple
T13893954
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hadamard matrix |
E334040
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | orthogonal matrix over ±1 |
C26958
|
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: orthogonal matrix over ±1 Context triple: [Hadamard matrix, instanceOf, orthogonal matrix over ±1]
-
A.
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.
-
B.
24-dimensional lattice
A 24-dimensional lattice is a discrete, periodic arrangement of points in 24-dimensional Euclidean space generated by integer linear combinations of 24 independent basis vectors.
-
C.
structured matrix
chosen
A structured matrix is a matrix whose entries follow a specific pattern or rule (such as Toeplitz, circulant, or banded structure), enabling more efficient storage and computation than a general dense matrix.
-
D.
representation of Clifford algebra
A representation of a Clifford algebra is a homomorphism from the Clifford algebra to the algebra of linear operators on a vector space, realizing its generators as matrices or operators that satisfy the defining Clifford relations.
-
E.
quadratic character
A quadratic character is a group homomorphism from a multiplicative group (often of a field or modulo n) to {±1} that indicates whether elements are quadratic residues or non-residues.
- 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_69d81c5dd2d48190b7a5fc1e009de936 |
completed | April 9, 2026, 9:38 p.m. |
Created at: April 9, 2026, 10:15 p.m.