Triple

T22328546
Position Surface form Disambiguated ID Type / Status
Subject Fubini–Study form E551964 entity
Predicate instanceOf P0 FINISHED
Object closed 2-form C3506 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: closed 2-form
Context triple: [Fubini–Study form, instanceOf, closed 2-form]
  • A. alternating form
    An alternating form is a multilinear map on a vector space that changes sign whenever two of its arguments are swapped, and hence vanishes whenever any two arguments are equal.
  • B. quadratic form
    A quadratic form is a homogeneous polynomial of degree two in several variables, typically expressed as xᵀAx for a symmetric matrix A, that defines a scalar-valued function capturing curvature and geometric properties such as lengths, angles, and conic sections.
  • C. closed surface
    A closed surface is a continuous two-dimensional manifold in three-dimensional space that is finite in extent and has no boundary, completely enclosing a volume.
  • D. differential geometric object chosen
    A differential geometric object is a mathematical entity, such as a manifold, tensor, or connection, defined on smooth spaces and characterized by properties that are invariant under smooth coordinate transformations.
  • E. Kähler metric
    A Kähler metric is a Riemannian metric on a complex manifold that is compatible with both the complex structure and a symplectic form, such that the associated Kähler form is closed.
  • 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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
Created at: April 16, 2026, 8:43 p.m.