Triple

T31403248
Position Surface form Disambiguated ID Type / Status
Subject geometric algebra E801055 entity
Predicate dimensionOfAlgebra P171835 FINISHED
Object 2^n for an n-dimensional vector space LITERAL 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: 2^n for an n-dimensional vector space | Statement: [geometric algebra, dimensionOfAlgebra, 2^n for an n-dimensional vector space]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: dimensionOfAlgebra
Context triple: [geometric algebra, dimensionOfAlgebra, 2^n for an n-dimensional vector space]
  • A. dimensionAsVectorSpaceOverℚ
    Indicates that the dimension of a given vector space is being considered specifically as a vector space over the field of rational numbers ℚ.
  • B. hasLieAlgebraDimension
    Indicates that an algebraic structure is associated with a Lie algebra having a specified vector-space dimension.
  • C. dimensionOfAmbientSpace
    Indicates the dimensionality of the surrounding or embedding space in which an object or structure exists.
  • D. hasCartanSubalgebraDimension
    Indicates that an algebraic or Lie algebraic structure has a Cartan subalgebra whose dimension equals a specified value.
  • E. dimensionOverℝ
    Indicates that the dimension of a given mathematical structure is being considered or measured as a vector space over the field of real numbers ℝ.
  • 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_69f224ea9998819086ae2e4f4f4091c8 completed April 29, 2026, 3:34 p.m.
NER Named-entity recognition batch_69f6a5f71b2c8190aade8a83f465be0c completed May 3, 2026, 1:33 a.m.
PD Predicate disambiguation batch_69f69fe66df08190958558d63ee623d9 completed May 3, 2026, 1:07 a.m.
PDg Predicate description generation batch_69f6a5f656ec81909e02b0b873303adf completed May 3, 2026, 1:33 a.m.
Created at: April 29, 2026, 9:20 p.m.