Triple
T23234938
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | orthogonal group O(n+1,2) |
E581259
|
entity |
| Predicate | hasCartanInvolution |
P151469
|
FINISHED |
| Object | conjugation by diag(I_{n+1},−I₂) |
—
|
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: conjugation by diag(I_{n+1},−I₂) | Statement: [orthogonal group O(n+1,2), hasCartanInvolution, conjugation by diag(I_{n+1},−I₂)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCartanInvolution
Context triple: [orthogonal group O(n+1,2), hasCartanInvolution, conjugation by diag(I_{n+1},−I₂)]
-
A.
hasCartanSubalgebraDimension
Indicates that an algebraic or Lie algebraic structure has a Cartan subalgebra whose dimension equals a specified value.
-
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.
hasConjugateFundamentalRepresentation
Indicates that one entity serves as the conjugate (dual) of the fundamental representation associated with another entity.
-
D.
hasAdjointRepresentation
Indicates that a mathematical object (typically a Lie group or Lie algebra) is associated with its adjoint representation, describing how it acts on its own Lie algebra via the adjoint action.
-
E.
hasCoxeterDiagram
Indicates that an abstract Coxeter group or system is associated with a specific Coxeter diagram that encodes its generating reflections and their relations.
- 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
| NER | Named-entity recognition | batch_69f192e8c7548190b53434eeb2620a6e |
completed | April 29, 2026, 5:11 a.m. |
| PD | Predicate disambiguation | batch_69effcdadec0819092ec1749ee453b4e |
completed | April 28, 2026, 12:18 a.m. |
| PDg | Predicate description generation | batch_69f01d8770d081908897c28b04e5faea |
completed | April 28, 2026, 2:37 a.m. |
Created at: April 17, 2026, 4:09 p.m.