Triple
T23837084
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(2,d-1) |
E590883
|
entity |
| Predicate | hasCasimirOperators |
P153810
|
FINISHED |
| Object | quadratic and higher-order Casimirs used to label representations |
—
|
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: quadratic and higher-order Casimirs used to label representations | Statement: [SO(2,d-1), hasCasimirOperators, quadratic and higher-order Casimirs used to label representations]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCasimirOperators Context triple: [SO(2,d-1), hasCasimirOperators, quadratic and higher-order Casimirs used to label representations]
-
A.
hasCommutationRelations
Indicates that there exist specific commutation relations governing how two operators or elements combine or reorder with respect to each other.
-
B.
areEigenfunctionsOf
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
-
C.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
D.
isMassEigenstateOf
Indicates that one entity is a quantum state with a definite mass that results from diagonalizing the mass operator (or mass matrix) associated with the other entity.
-
E.
isCarnotAlgebra
Indicates that the given algebra satisfies the defining structural properties of a Carnot algebra (a stratified, nilpotent Lie algebra with a graded decomposition).
- 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_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. |
| PDg | Predicate description generation | batch_69f158b0e320819090b947ee7eb14116 |
completed | April 29, 2026, 1:02 a.m. |
Created at: April 17, 2026, 8:07 p.m.