Triple
T34585654
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S^2 × R geometry |
E888036
|
entity |
| Predicate | isLocallyIsometricTo |
P185689
|
FINISHED |
| Object | S^2 × R with product metric |
—
|
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: S^2 × R with product metric | Statement: [S^2 × R geometry, isLocallyIsometricTo, S^2 × R with product metric]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isLocallyIsometricTo Context triple: [S^2 × R geometry, isLocallyIsometricTo, S^2 × R with product metric]
-
A.
isLocallyIsomorphicTo
Indicates that two structures are isomorphic within some local neighborhood or restricted region, even if they may differ globally.
-
B.
isDiffeomorphicTo
Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
-
C.
isIsotropicWithRespectTo
Indicates that one entity exhibits identical properties or behavior in all directions relative to, or when measured with respect to, another specified frame, medium, or reference.
-
D.
isConformallyRelatedTo
Indicates that one entity can be transformed into the other by a conformal (angle-preserving) mapping, preserving local shapes but not necessarily sizes or distances.
-
E.
isIsometricTo
Indicates that two structures or spaces are related by a distance-preserving mapping, making them geometrically identical in shape and size.
- 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
| NER | Named-entity recognition | batch_69f7c33d59808190b647989a093f3488 |
completed | May 3, 2026, 9:50 p.m. |
| PD | Predicate disambiguation | batch_69f7c1b6e7a881908deb96bedb2713f4 |
completed | May 3, 2026, 9:44 p.m. |
| PDg | Predicate description generation | batch_69f7c29cf36481908e472d4dcb5573b9 |
completed | May 3, 2026, 9:48 p.m. |
Created at: May 1, 2026, 2:03 a.m.