Triple

T26441289
Position Surface form Disambiguated ID Type / Status
Subject HOMFLY-PT homology E665095 entity
Predicate instanceOf P0 FINISHED
Object categorified knot invariant C27157 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: categorified knot invariant
Context triple: [HOMFLY-PT homology, instanceOf, categorified knot invariant]
  • 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. quantum invariant
    A quantum invariant is a quantity associated with a quantum system or topological object that remains unchanged under specified transformations, often used to distinguish or classify quantum states, knots, or manifolds.
  • C. topological quantum field theory
    A topological quantum field theory is a quantum field theory whose observables and correlation functions depend only on the topology of the underlying spacetime manifold, not on its geometric details such as distances or angles.
  • D. concept in knot theory
    A concept in knot theory is an abstract idea or construct used to study and classify embeddings of circles (knots) and collections of circles (links) in three-dimensional space up to continuous deformation.
  • E. homological invariant chosen
    A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
  • 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_69ee883c851881909e2ab04efbb3c5fe completed April 26, 2026, 9:48 p.m.
Created at: April 26, 2026, 11:58 p.m.