Triple

T23372449
Position Surface form Disambiguated ID Type / Status
Subject GL(n,ℝ) E593509 entity
Predicate isRealPointsOf P152471 FINISHED
Object algebraic group GL_n over ℝ NE NERFINISHED

How this triple was built (3 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: algebraic group GL_n over ℝ | Statement: [GL(n,ℝ), isRealPointsOf, algebraic group GL_n over ℝ]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: algebraic group GL_n over ℝ
Context triple: [GL(n,ℝ), isRealPointsOf, algebraic group GL_n over ℝ]
  • A. general linear group GL(n,R) chosen
    The general linear group GL(n,ℝ) is the Lie group consisting of all invertible n×n real matrices under matrix multiplication, fundamental in linear algebra and differential geometry.
  • B. general linear group GL(n,C)
    The general linear group GL(n,ℂ) is the Lie group consisting of all invertible n×n complex matrices under matrix multiplication, fundamental in linear algebra and representation theory.
  • C. special linear group SL(n,R)
    The special linear group SL(n,ℝ) is the Lie group of all n×n real matrices with determinant 1, fundamental in linear algebra and differential geometry as the group of volume-preserving linear transformations.
  • D. special linear group SL(n,C)
    The special linear group SL(n,ℂ) is the Lie group of n×n complex matrices with determinant 1, fundamental in representation theory, geometry, and many areas of modern mathematics and physics.
  • E. affine group of R^n
    The affine group of ℝⁿ is the group of all invertible affine transformations of n-dimensional real space, combining linear transformations with translations.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isRealPointsOf
Context triple: [GL(n,ℝ), isRealPointsOf, algebraic group GL_n over ℝ]
  • A. hasNumberOfPoints
    Indicates that an entity is associated with a specific count of points it possesses or comprises.
  • B. isPointWhere
    Indicates that one entity is the specific location or point at which another entity, event, or condition occurs or is defined.
  • C. hasComplexPoints
    Indicates that something possesses or includes points that are intricate, detailed, or composed of multiple interconnected parts.
  • D. isReferencePointFor
    Indicates that one entity serves as a positional or conceptual basis used to locate, measure, or interpret another entity.
  • E. hasRealWorldOrigin
    Indicates that something is derived from, based on, or directly connected to an actual entity, event, or source in the real world.
  • F. None of above. chosen

Provenance (4 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_69e25d2593c88190bcdf4a716a94ccb2 completed April 17, 2026, 4:17 p.m.
NER Named-entity recognition batch_69f1a3af45ec8190a32aa4e5f04f6756 completed April 29, 2026, 6:22 a.m.
PD Predicate disambiguation batch_69f061c7aaa48190a58ce93f87155ffc completed April 28, 2026, 7:29 a.m.
PDg Predicate description generation batch_69f0bd4a0e408190ad8916faf23562d9 completed April 28, 2026, 1:59 p.m.
Created at: April 17, 2026, 5:32 p.m.