Triple

T34585589
Position Surface form Disambiguated ID Type / Status
Subject JSJ decomposition E888035 entity
Predicate instanceOf P0 FINISHED
Object tool in 3-manifold topology C28855 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: tool in 3-manifold topology
Context triple: [JSJ decomposition, instanceOf, tool in 3-manifold topology]
  • A. 3-manifold invariant
    A 3-manifold invariant is a quantity or structure assigned to a 3-dimensional manifold that remains unchanged under homeomorphisms or diffeomorphisms, used to distinguish and classify such manifolds.
  • B. tool in algebraic topology chosen
    A tool in algebraic topology is a conceptual or computational method—such as homology, cohomology, or spectral sequences—used to translate topological problems into algebraic ones to analyze and classify topological spaces.
  • C. work in geometric topology
    Work in geometric topology studies the properties and structures of spaces that are preserved under continuous deformations, focusing on the interplay between geometry and topology in shapes and manifolds.
  • D. result in low-dimensional topology
    A result in low-dimensional topology is a theorem or proposition that characterizes the structure, classification, or properties of topological spaces and manifolds of dimension four or less.
  • E. Laurent polynomial-valued invariant
    A Laurent polynomial-valued invariant is a quantity assigned to mathematical objects (such as knots, links, or manifolds) that remains unchanged under specified transformations and takes the form of a Laurent polynomial in one or more variables.
  • 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_69f349d25cbc8190869998de5915886b completed April 30, 2026, 12:23 p.m.
Created at: May 1, 2026, 2:03 a.m.