Triple
T34585648
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S^2 × R geometry |
E888036
|
entity |
| Predicate | isometryGroup |
P14251
|
FINISHED |
| Object | Isom(S^2) × Isom(R) |
—
|
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: Isom(S^2) × Isom(R) | Statement: [S^2 × R geometry, isometryGroup, Isom(S^2) × Isom(R)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isometryGroup Context triple: [S^2 × R geometry, isometryGroup, Isom(S^2) × Isom(R)]
-
A.
hasIsometryGroup
chosen
Indicates that one entity possesses or is associated with a particular isometry group describing all distance-preserving transformations of that entity.
-
B.
isMaximalSymmetryGroupOf
Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
-
C.
actsByIsometriesOn
Indicates that one entity acts on another through transformations that preserve distances (isometries), maintaining the metric structure of the acted-upon object.
-
D.
isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
-
E.
isConformalGroupOf
Indicates that one entity is the conformal symmetry group associated with another entity, typically preserving angles and the conformal structure of that object or space.
- 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
| NER | Named-entity recognition | batch_69f720c7ea608190bd92d69643330823 |
completed | May 3, 2026, 10:17 a.m. |
| PD | Predicate disambiguation | batch_69f71cc8074c81909ae09bea2acf1a09 |
completed | May 3, 2026, 10 a.m. |
Created at: May 1, 2026, 2:03 a.m.