Triple
T36468981
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré metric |
E898491
|
entity |
| Predicate | geodesicsOnUnitDisk |
P22985
|
FINISHED |
| Object | circles and lines orthogonal to unit circle |
—
|
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: circles and lines orthogonal to unit circle | Statement: [Poincaré metric, geodesicsOnUnitDisk, circles and lines orthogonal to unit circle]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: geodesicsOnUnitDisk Context triple: [Poincaré metric, geodesicsOnUnitDisk, circles and lines orthogonal to unit circle]
-
A.
geodesicsAre
chosen
Indicates that certain paths or curves in a space are geodesics, i.e., they locally minimize distance or follow the straightest possible trajectory according to the space’s geometry.
-
B.
hasGeodesics
Indicates that the subject possesses or is characterized by geodesic paths, typically representing shortest or straightest possible routes within a given space or geometry.
-
C.
BlaschkeCondition
Indicates that a sequence of points in the unit disk satisfies the Blaschke condition, meaning the sum of their distances from the boundary (1 − |zₙ|) is finite, ensuring convergence of the associated Blaschke product.
-
D.
EuclideanFunction
Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
-
E.
isDistanceDecreasingUnderHolomorphicMaps
Indicates that under holomorphic (complex analytic) maps, the distance between points does not increase and in certain contexts strictly decreases, reflecting a contraction-like behavior with respect to an appropriate metric.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7c371931c8190afb1d4dd5157f92c |
completed | May 3, 2026, 9:51 p.m. |
| PD | Predicate disambiguation | batch_69f7c1b91fd88190ab85afd626603769 |
completed | May 3, 2026, 9:44 p.m. |
Created at: May 3, 2026, 4:10 p.m.