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.