Triple
T21077309
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Playfair's axiom |
E519271
|
entity |
| Predicate | parallelLineCountInEllipticGeometry |
P142746
|
FINISHED |
| Object | no 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: no parallels through a point not on a given line | Statement: [Playfair's axiom, parallelLineCountInEllipticGeometry, no parallels through a point not on a given line]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: parallelLineCountInEllipticGeometry Context triple: [Playfair's axiom, parallelLineCountInEllipticGeometry, no parallels through a point not on a given line]
-
A.
hasLinesThroughEachPoint
Indicates that for every point in the relevant space or set, there exists at least one line that passes through that point.
-
B.
relationshipWithColline
Indicates a relationship or association that one entity has with another entity named or identified as Colline.
-
C.
trivialRationalPoints
Indicates that the only rational points satisfying the given condition or lying on the given object are the trivial or obvious ones (typically those forced by the structure, such as points at infinity or simple coordinate values).
-
D.
lineExtendedTo
Indicates that one line is formed by extending another line beyond its original endpoint.
-
E.
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.
- 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_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. |
| PDg | Predicate description generation | batch_69e5e2e03d88819086f8b641656ad8b0 |
completed | April 20, 2026, 8:25 a.m. |
Created at: April 16, 2026, 2:49 p.m.