Triple

T24313911
Position Surface form Disambiguated ID Type / Status
Subject Gale diagram E612749 entity
Predicate instanceOf P0 FINISHED
Object representation of a polytope via Gale transform C36673 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: representation of a polytope via Gale transform
Context triple: [Gale diagram, instanceOf, representation of a polytope via Gale transform]
  • A. 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.
  • B. configuration in projective geometry chosen
    A configuration in projective geometry is a structured arrangement of points, lines, and sometimes higher-dimensional subspaces, together with specified incidence relations among them.
  • C. 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.
  • D. polyhedral optimizer
    A polyhedral optimizer is a compiler component that analyzes and transforms loop nests using polyhedral models to improve performance through advanced loop restructuring, parallelization, and locality optimization.
  • E. 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.
  • 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_69e2d7da491c8190b6e6218af50923db completed April 18, 2026, 1:01 a.m.
Created at: April 18, 2026, 1:45 a.m.