Triple
T5705560
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cartan subalgebras |
E125774
|
entity |
| Predicate | conjugacyProperty |
P65691
|
FINISHED |
| Object | all Cartan subalgebras of a finite-dimensional complex semisimple Lie algebra are conjugate |
—
|
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: all Cartan subalgebras of a finite-dimensional complex semisimple Lie algebra are conjugate | Statement: [Cartan subalgebras, conjugacyProperty, all Cartan subalgebras of a finite-dimensional complex semisimple Lie algebra are conjugate]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: conjugacyProperty Context triple: [Cartan subalgebras, conjugacyProperty, all Cartan subalgebras of a finite-dimensional complex semisimple Lie algebra are conjugate]
-
A.
isSemidirectProductOf
Indicates that a group is constructed as a semidirect product of two subgroups, where one subgroup acts on the other via automorphisms in a way that generalizes the direct product.
-
B.
invariantUnder
Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
-
C.
usesSymmetryGroup
Indicates that one entity employs or is based on a particular symmetry group in its structure, behavior, or formulation.
-
D.
isCommutative
Indicates that the result of applying an operation to two entities does not depend on their order (i.e., a ∘ b = b ∘ a).
-
E.
functorialityProperty
Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
- 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_69c0082c96988190b3a6a201edce472a |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c02459cd18819080fda0b481d11f08 |
completed | March 22, 2026, 5:18 p.m. |
| PD | Predicate disambiguation | batch_69c021c2d8bc8190b947c7d1f423d2f3 |
completed | March 22, 2026, 5:07 p.m. |
| PDg | Predicate description generation | batch_69c023dfec6881909ee6189b874b4348 |
completed | March 22, 2026, 5:16 p.m. |
Created at: March 22, 2026, 3:45 p.m.