Triple

T27176472
Position Surface form Disambiguated ID Type / Status
Subject sl(2,C) E683055 entity
Predicate universalEnvelopingAlgebra P163476 FINISHED
Object U(sl(2,C)) 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: U(sl(2,C)) | Statement: [sl(2,C), universalEnvelopingAlgebra, U(sl(2,C))]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: universalEnvelopingAlgebra
Context triple: [sl(2,C), universalEnvelopingAlgebra, U(sl(2,C))]
  • A. symmetryAlgebraOf
    Indicates that one entity is the symmetry algebra associated with, or governing the symmetries of, the other entity.
  • B. hasLieAlgebra
    Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
  • C. CartanFormula
    Indicates how a derivation or differential operator acts on a product, expressing the result as a graded Leibniz rule that distributes over the product with appropriate signs.
  • D. isComplexificationOf
    Indicates that one entity is a more complex or elaborated version derived from another, simpler entity.
  • E. associatedGradedIs
    Indicates that one mathematical object is the associated graded object (e.g., graded structure derived from a filtration) of another.
  • 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_69eefad086808190ab89816c0c300476 completed April 27, 2026, 5:57 a.m.
NER Named-entity recognition batch_69f638d11c988190af7fd4572b08e038 completed May 2, 2026, 5:48 p.m.
PD Predicate disambiguation batch_69f63709e4848190b5cf322e06b23fb6 completed May 2, 2026, 5:40 p.m.
PDg Predicate description generation batch_69f638344b148190bf0414ef7c5f1f38 completed May 2, 2026, 5:45 p.m.
Created at: April 27, 2026, 9:26 a.m.