Triple
T27176473
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | sl(2,C) |
E683055
|
entity |
| Predicate | CasimirElement |
P153810
|
FINISHED |
| Object | central element in U(sl(2,C)) |
—
|
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: central element in U(sl(2,C)) | Statement: [sl(2,C), CasimirElement, central element in U(sl(2,C))]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: CasimirElement Context triple: [sl(2,C), CasimirElement, central element in U(sl(2,C))]
-
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.
minimalCouplingForm
Indicates that one entity is expressed in a form where its interaction or dependence on another entity is reduced to the simplest or least complex coupling necessary.
-
C.
symmetryAlgebraOf
Indicates that one entity is the symmetry algebra associated with, or governing the symmetries of, the other entity.
-
D.
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.
-
E.
cosmologicalElement
Indicates a relationship where something functions as, or is classified as, a fundamental component or aspect within a cosmological system or model.
- 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_69eefad086808190ab89816c0c300476 |
completed | April 27, 2026, 5:57 a.m. |
| NER | Named-entity recognition | batch_69f6257a5ae881908db3032511378836 |
completed | May 2, 2026, 4:25 p.m. |
| PD | Predicate disambiguation | batch_69f61b41f3848190bd38e697cf189a87 |
completed | May 2, 2026, 3:41 p.m. |
Created at: April 27, 2026, 9:26 a.m.