Triple
T23837073
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(2,d-1) |
E590883
|
entity |
| Predicate | hasTypeInCartanClassification |
P78097
|
FINISHED |
| Object | B_n or D_n depending on d+1 |
—
|
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: B_n or D_n depending on d+1 | Statement: [SO(2,d-1), hasTypeInCartanClassification, B_n or D_n depending on d+1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasTypeInCartanClassification Context triple: [SO(2,d-1), hasTypeInCartanClassification, B_n or D_n depending on d+1]
-
A.
hasCartanSubalgebraDimension
Indicates that an algebraic or Lie algebraic structure has a Cartan subalgebra whose dimension equals a specified value.
-
B.
hasCartanInvolution
Indicates that one mathematical object (typically a Lie group or Lie algebra) possesses a specific Cartan involution, i.e., an involutive automorphism satisfying the Cartan conditions for that structure.
-
C.
hasCoxeterDiagram
Indicates that an abstract Coxeter group or system is associated with a specific Coxeter diagram that encodes its generating reflections and their relations.
-
D.
hasDynkinDiagram
chosen
Indicates that an algebraic or Lie-theoretic structure is associated with a specific Dynkin diagram that encodes its root system or classification.
-
E.
hasWeylGroup
Indicates that an algebraic or geometric structure is associated with a specific Weyl group capturing its symmetry properties.
- 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_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. |
Created at: April 17, 2026, 8:07 p.m.