Triple
T21077308
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Playfair's axiom |
E519271
|
entity |
| Predicate | parallelLineCountInHyperbolicGeometry |
P131877
|
FINISHED |
| Object | infinitely many parallels through a point not on a given line |
—
|
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: infinitely many parallels through a point not on a given line | Statement: [Playfair's axiom, parallelLineCountInHyperbolicGeometry, infinitely many parallels through a point not on a given line]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: parallelLineCountInHyperbolicGeometry Context triple: [Playfair's axiom, parallelLineCountInHyperbolicGeometry, infinitely many parallels through a point not on a given line]
-
A.
hasHyperbolicArea
Indicates that one entity possesses or is associated with a specific area measured in hyperbolic geometry.
-
B.
hasParallelPostulateFormulation
chosen
Indicates that one formulation of the parallel postulate corresponds to or can be expressed equivalently as another formulation.
-
C.
hasLinesThroughEachPoint
Indicates that for every point in the relevant space or set, there exists at least one line that passes through that point.
-
D.
parallelOfLatitude
Indicates that one entity is a line or circle on a sphere (typically Earth) that is at a constant latitude relative to another reference.
-
E.
hasStraightLines
Indicates that the related entity possesses or is characterized by straight, non-curved lines.
- 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_69e0b506e59c8190849b71ed07929215 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e702d77b8081908ecfb05ab391fd39 |
completed | April 21, 2026, 4:53 a.m. |
| PD | Predicate disambiguation | batch_69e5dbfcd5e881908f1e4e0d2d237856 |
completed | April 20, 2026, 7:55 a.m. |
Created at: April 16, 2026, 2:49 p.m.