Triple
T30327811
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Regular Division of the Plane |
E771386
|
entity |
| Predicate | mathematicalConceptUsed |
P4746
|
FINISHED |
| Object | wallpaper groups |
—
|
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: wallpaper groups | Statement: [Regular Division of the Plane, mathematicalConceptUsed, wallpaper groups]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: mathematicalConceptUsed Context triple: [Regular Division of the Plane, mathematicalConceptUsed, wallpaper groups]
-
A.
mathematicallyUses
chosen
Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
-
B.
formulaUsed
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
-
C.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
D.
hasMathematicalProperty
Indicates that one entity possesses or exhibits a specific mathematical property or characteristic.
-
E.
mathematicalOutput
Indicates that one entity is the result or outcome produced by applying a mathematical operation or computation to another entity or set of entities.
- 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_69f22489ee8481909344649bfbb92e83 |
completed | April 29, 2026, 3:32 p.m. |
| NER | Named-entity recognition | batch_69f681c48ffc819098fa0303a15f2114 |
completed | May 2, 2026, 10:59 p.m. |
| PD | Predicate disambiguation | batch_69f67603526c81908295a1ece8727c66 |
completed | May 2, 2026, 10:09 p.m. |
Created at: April 29, 2026, 7:53 p.m.