Triple

T25979677
Position Surface form Disambiguated ID Type / Status
Subject Pauli–Lubanski pseudovector E646032 entity
Predicate isCasimirOf P153810 FINISHED
Object Poincaré algebra NE NERFINISHED

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: Poincaré algebra | Statement: [Pauli–Lubanski pseudovector, isCasimirOf, Poincaré algebra]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isCasimirOf
Context triple: [Pauli–Lubanski pseudovector, isCasimirOf, Poincaré algebra]
  • A. hasCasimirOperators chosen
    Indicates that an algebraic structure (such as a Lie algebra or group) possesses associated Casimir operators that commute with all elements of the structure and characterize its representations.
  • B. isCarnotAlgebra
    Indicates that the given algebra satisfies the defining structural properties of a Carnot algebra (a stratified, nilpotent Lie algebra with a graded decomposition).
  • C. isCanonicalFormOf
    Indicates that one entity is the standard or officially accepted form or representation of another, often more variant, entity.
  • D. hasCartanInvolution
    Indicates that one mathematical object (typically a Lie group or Lie algebra) possesses a specific Cartan involution, i.e., an involutive automorphism satisfying the Cartan conditions for that structure.
  • E. isMaximalSymmetryGroupOf
    Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
  • 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_69e77e881fc08190ba1c8dc7e2a07f97 completed April 21, 2026, 1:41 p.m.
NER Named-entity recognition batch_69f6050e507881909e3bc0c33e8a8c7e completed May 2, 2026, 2:07 p.m.
PD Predicate disambiguation batch_69f4a10480748190a2e67bd399fc435d completed May 1, 2026, 12:48 p.m.
Created at: April 22, 2026, 8:54 a.m.