Triple

T12011689
Position Surface form Disambiguated ID Type / Status
Subject Whitney umbrella E285918 entity
Predicate instanceOf P0 FINISHED
Object real algebraic variety C18972 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: real algebraic variety
Context triple: [Whitney umbrella, instanceOf, real algebraic variety]
  • A. algebraic variety chosen
    An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
  • B. area of algebraic geometry
    An area of algebraic geometry is a subfield focused on a specific collection of problems, techniques, and structures related to the study of solutions to polynomial equations and their geometric properties.
  • C. divisor in algebraic geometry
    A divisor in algebraic geometry is a formal finite integer linear combination of irreducible codimension-one subvarieties (or points on a curve), used to encode zeros and poles of rational functions and to study line bundles and linear systems.
  • D. 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.
  • E. equidimensional equation
    An equidimensional equation is a differential equation in which each term scales by the same factor under a power-law change of the independent variable, allowing it to be solved via a substitution that reduces it to one with constant coefficients.
  • 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_69d6ab45a368819084fce08bf0dc3705 completed April 8, 2026, 7:23 p.m.
Created at: April 8, 2026, 9:46 p.m.