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.