Triple
T5425674
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E(n) |
E121355
|
entity |
| Predicate | isHomogeneousSpace |
P12998
|
FINISHED |
| Object | R^n ≅ E(n)/O(n) |
—
|
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: R^n ≅ E(n)/O(n) | Statement: [E(n), isHomogeneousSpace, R^n ≅ E(n)/O(n)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isHomogeneousSpace Context triple: [E(n), isHomogeneousSpace, R^n ≅ E(n)/O(n)]
-
A.
isHomogeneous
Indicates that all elements or parts involved share the same type, nature, or characteristics, without significant variation among them.
-
B.
hasIsometryGroup
Indicates that one entity possesses or is associated with a particular isometry group describing all distance-preserving transformations of that entity.
-
C.
isMaximallySymmetric
Indicates that the subject exhibits the highest possible degree of symmetry allowed by the relevant structure, constraints, or context.
-
D.
usesSymmetryGroup
chosen
Indicates that one entity employs or is based on a particular symmetry group in its structure, behavior, or formulation.
-
E.
isSemidirectProductOf
Indicates that a group is constructed as a semidirect product of two subgroups, where one subgroup acts on the other via automorphisms in a way that generalizes the direct product.
- 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_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. |
Created at: March 20, 2026, 2:06 p.m.