Triple
T11098635
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | (2,3,7) triangle group |
E262443
|
entity |
| Predicate | hasCoxeterPresentation |
P97236
|
FINISHED |
| Object | ⟨ r1,r2,r3 | r1² = r2² = r3² = (r1r2)² = (r2r3)³ = (r1r3)⁷ = 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: ⟨ r1,r2,r3 | r1² = r2² = r3² = (r1r2)² = (r2r3)³ = (r1r3)⁷ = 1 ⟩ | Statement: [(2,3,7) triangle group, hasCoxeterPresentation, ⟨ r1,r2,r3 | r1² = r2² = r3² = (r1r2)² = (r2r3)³ = (r1r3)⁷ = 1 ⟩]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCoxeterPresentation Context triple: [(2,3,7) triangle group, hasCoxeterPresentation, ⟨ r1,r2,r3 | r1² = r2² = r3² = (r1r2)² = (r2r3)³ = (r1r3)⁷ = 1 ⟩]
-
A.
isMaximalSymmetryGroupOf
Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
-
B.
hasMinimalFaithfulPermutationRepresentation
Indicates that there exists a faithful permutation representation of the structure (e.g., a group acting on a set) whose degree is minimal among all such faithful permutation representations.
-
C.
hasIsometryGroup
Indicates that one entity possesses or is associated with a particular isometry group describing all distance-preserving transformations of that entity.
-
D.
hasMinimalFaithfulLinearRepresentation
Indicates that there exists a faithful linear representation of the entity (e.g., a group) whose dimension is minimal among all its faithful linear representations.
-
E.
hasAutomorphism
Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
- 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_69d6aa9a40d88190a373e2c7e48285db |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d79a0c46308190889b94c23ebaca62 |
completed | April 9, 2026, 12:22 p.m. |
| PD | Predicate disambiguation | batch_69d7441aa3548190b92dbde57841c135 |
completed | April 9, 2026, 6:15 a.m. |
| PDg | Predicate description generation | batch_69d750ca52ec8190a559432a5de106fd |
completed | April 9, 2026, 7:10 a.m. |
Created at: April 8, 2026, 9:27 p.m.