Triple
T21046972
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | orthogonal group O(n) |
E518473
|
entity |
| Predicate | LieAlgebraNotation |
P6184
|
FINISHED |
| Object | 𝔬(n) |
—
|
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: 𝔬(n) | Statement: [orthogonal group O(n), LieAlgebraNotation, 𝔬(n)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: LieAlgebraNotation Context triple: [orthogonal group O(n), LieAlgebraNotation, 𝔬(n)]
-
A.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
B.
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.
-
C.
hasLieAlgebraDimension
Indicates that an algebraic structure is associated with a Lie algebra having a specified vector-space dimension.
-
D.
dimensionAsLieGroup
Indicates the dimension of an entity when it is considered as a Lie group, i.e., the number of independent parameters defining the group manifold.
-
E.
notation
chosen
Indicates a conventional way of symbolically representing or writing something, such as concepts, quantities, or operations, within a specific system.
- 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e6fcf4d26481908b639996500a8319 |
completed | April 21, 2026, 4:28 a.m. |
| PD | Predicate disambiguation | batch_69e5dbf6728881908a2a43a5c8804a2a |
completed | April 20, 2026, 7:55 a.m. |
Created at: April 16, 2026, 2:34 p.m.