Triple

T20509305
Position Surface form Disambiguated ID Type / Status
Subject Weyl denominator E503517 entity
Predicate instanceOf P0 FINISHED
Object invariant under root lattice translations up to sign C43706 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 under root lattice translations up to sign
Context triple: [Weyl denominator, instanceOf, invariant under root lattice translations up to sign]
  • 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. 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.
  • D. problem in invariant theory
    A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
  • E. automorphic representation (in a broad sense)
    An automorphic representation (in a broad sense) is an irreducible unitary representation of an adelic or locally compact group that arises in the spectral decomposition of spaces of automorphic forms, encoding number-theoretic and geometric information via harmonic analysis on arithmetic quotients.
  • 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_69e0b4b1e52c8190894281cf7e3283ab completed April 16, 2026, 10:06 a.m.
Created at: April 16, 2026, 11:36 a.m.