Triple
T27176480
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | sl(2,C) |
E683055
|
entity |
| Predicate | WeylGroup |
P128196
|
FINISHED |
| Object | Z2 |
—
|
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: Z2 | Statement: [sl(2,C), WeylGroup, Z2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: WeylGroup Context triple: [sl(2,C), WeylGroup, Z2]
-
A.
hasWeylGroup
chosen
Indicates that an algebraic or geometric structure is associated with a specific Weyl group capturing its symmetry properties.
-
B.
isCoxeterGroup
Indicates that the given group satisfies the defining relations of a Coxeter group, i.e., it is generated by reflections with relations of the form \((s_is_j)^{m_{ij}} = e\) for specified integers \(m_{ij}\).
-
C.
hasCoxeterPresentation
Indicates that a group or structure is defined or characterized by a Coxeter presentation, i.e., by generators subject to relations determined by a Coxeter matrix or Coxeter diagram.
-
D.
IwasawaDecomposition
Indicates that a group element is expressed as a product of elements from its Iwasawa components (typically a maximal compact subgroup, a maximal abelian subgroup, and a nilpotent subgroup) according to the Iwasawa decomposition.
-
E.
outerAutomorphismGroup
Indicates that one group is the group of all outer automorphisms (automorphisms modulo inner automorphisms) of another group.
- 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_69eefad086808190ab89816c0c300476 |
completed | April 27, 2026, 5:57 a.m. |
| NER | Named-entity recognition | batch_69f6257a5ae881908db3032511378836 |
completed | May 2, 2026, 4:25 p.m. |
| PD | Predicate disambiguation | batch_69f61b41f3848190bd38e697cf189a87 |
completed | May 2, 2026, 3:41 p.m. |
Created at: April 27, 2026, 9:26 a.m.