Triple
T36640633
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | symmetric group S5 |
E904572
|
entity |
| Predicate | hasCoxeterType |
P97239
|
FINISHED |
| Object | A4 |
—
|
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: A4 | Statement: [symmetric group S5, hasCoxeterType, A4]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCoxeterType Context triple: [symmetric group S5, hasCoxeterType, A4]
-
A.
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 \(m_{ij}\).
-
B.
hasCoxeterDiagram
chosen
Indicates that an abstract Coxeter group or system is associated with a specific Coxeter diagram that encodes its generating reflections and their relations.
-
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.
hasCoxeterNumber
Indicates that an entity (typically a Coxeter group or related structure) is associated with a specific Coxeter number as its characteristic numerical invariant.
-
E.
hasDynkinDiagram
Indicates that an algebraic or Lie-theoretic structure is associated with a specific Dynkin diagram that encodes its root system or classification.
- 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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_6a037c8e2c648190a65fc9c7872861af |
completed | May 12, 2026, 7:16 p.m. |
| PD | Predicate disambiguation | batch_6a037a0bf4b88190bdcfae9a14b51f0a |
completed | May 12, 2026, 7:05 p.m. |
Created at: May 3, 2026, 4:11 p.m.