Triple
T5425528
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euclidean metric |
E121352
|
entity |
| Predicate | isRiemannianMetricOn |
P63675
|
FINISHED |
| Object | Rn with standard inner product |
—
|
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: Rn with standard inner product | Statement: [Euclidean metric, isRiemannianMetricOn, Rn with standard inner product]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isRiemannianMetricOn Context triple: [Euclidean metric, isRiemannianMetricOn, Rn with standard inner product]
-
A.
isConformallyFlat
Indicates that a geometric space or metric can be transformed by a smooth, position-dependent scaling into a flat (Euclidean or Minkowski) metric, preserving angles but not necessarily lengths.
-
B.
isGeodesicallyComplete
Indicates that every geodesic in the given space can be extended indefinitely in both directions without leaving the space.
-
C.
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.
-
D.
isSymmetric
Indicates that a relationship holds in both directions between two entities, so if it applies from A to B, it also applies from B to A.
-
E.
isMaximallySymmetric
Indicates that the subject exhibits the highest possible degree of symmetry allowed by the relevant structure, constraints, or context.
- 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_69bd463b58d88190b258261573de9e91 |
completed | March 20, 2026, 1:06 p.m. |
| NER | Named-entity recognition | batch_69bd8911a7348190ad9378a248190f07 |
completed | March 20, 2026, 5:51 p.m. |
| PD | Predicate disambiguation | batch_69bd846b8bdc81909dcdc2a3084226f2 |
completed | March 20, 2026, 5:31 p.m. |
| PDg | Predicate description generation | batch_69bd8910de688190aa0cd80627849a60 |
completed | March 20, 2026, 5:51 p.m. |
Created at: March 20, 2026, 2:06 p.m.