Triple

T12220468
Position Surface form Disambiguated ID Type / Status
Subject Plücker coordinates E291200 entity
Predicate relatedTo P37 FINISHED
Object Grassmannian Gr(k,n) E911363 NE FINISHED

How this triple was built (2 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Grassmannian Gr(k,n) | Statement: [Plücker coordinates, relatedTo, Grassmannian Gr(k,n)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Grassmannian Gr(k,n)
Context triple: [Plücker coordinates, relatedTo, Grassmannian Gr(k,n)]
  • A. Grassmann manifolds chosen
    Grassmann manifolds are smooth parameter spaces that classify all k-dimensional linear subspaces of an n-dimensional vector space and serve as fundamental objects in topology, geometry, and the study of characteristic classes.
  • B. Beilinson–Drinfeld Grassmannian
    The Beilinson–Drinfeld Grassmannian is a geometric object in algebraic geometry and representation theory that generalizes the affine Grassmannian to configurations of multiple points, playing a central role in the geometric Langlands program.
  • C. Plücker coordinates
    Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
  • D. Fubini–Study form
    The Fubini–Study form is the canonical Kähler form on complex projective space, encoding its standard Hermitian and symplectic geometry.
  • E. Schur–Weyl duality
    Schur–Weyl duality is a fundamental result in representation theory that links representations of the symmetric group and the general linear group via their commuting actions on tensor powers of a vector space.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

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_69d6ab668acc8190963ba424049d6aee completed April 8, 2026, 7:24 p.m.
NER Named-entity recognition batch_69d91c951f5881908db6edfda1153d6f completed April 10, 2026, 3:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69f60aa4f4388190a787dde12190c51a completed May 2, 2026, 2:31 p.m.
Created at: April 8, 2026, 9:51 p.m.