Triple

T23837171
Position Surface form Disambiguated ID Type / Status
Subject Spin(2,d) E590885 entity
Predicate hasProjectiveRepresentation P93943 FINISHED
Object conformal group of d-dimensional Minkowski 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: conformal group of d-dimensional Minkowski space | Statement: [Spin(2,d), hasProjectiveRepresentation, conformal group of d-dimensional Minkowski space]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasProjectiveRepresentation
Context triple: [Spin(2,d), hasProjectiveRepresentation, conformal group of d-dimensional Minkowski space]
  • A. isProjectiveRepresentationOf chosen
    Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
  • B. hasRepresentationTheoryProperty
    Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
  • C. hasConjugateFundamentalRepresentation
    Indicates that one entity serves as the conjugate (dual) of the fundamental representation associated with another entity.
  • D. hasProjectionSystem
    Indicates that one entity uses or is defined by a particular coordinate or map projection system associated with another entity.
  • E. hasIrreducibleRepresentationOfDimension
    Indicates that an entity possesses an irreducible representation whose vector space has the specified dimension.
  • F. None of above.

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_69e25d1de32c8190a907afe9c3d6cd6d completed April 17, 2026, 4:17 p.m.
NER Named-entity recognition batch_69f1c883c7108190b3cce6fec0b8609a completed April 29, 2026, 8:59 a.m.
PD Predicate disambiguation batch_69f156036ad48190bc2ffdaf39218bcb completed April 29, 2026, 12:51 a.m.
Created at: April 17, 2026, 8:07 p.m.