Triple
T7705286
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(3) |
E174596
|
entity |
| Predicate | quotientGroupWith |
P77184
|
FINISHED |
| Object | O(3)/SO(3) ≅ ℤ₂ |
—
|
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: O(3)/SO(3) ≅ ℤ₂ | Statement: [SO(3), quotientGroupWith, O(3)/SO(3) ≅ ℤ₂]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: quotientGroupWith Context triple: [SO(3), quotientGroupWith, O(3)/SO(3) ≅ ℤ₂]
-
A.
quotientIs
chosen
Indicates that one entity is the result of dividing another entity by a specified divisor (i.e., it represents the quotient in a division relationship).
-
B.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
C.
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.
-
D.
isSubquotientOf
Indicates that one object can be obtained from another by first taking a subobject and then forming a quotient of that subobject.
-
E.
isClosedSubgroupOf
Indicates that one group is a subgroup of another and is closed in the topological sense within that larger group.
- 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_69c6995b3e8c8190833108f883d5f53c |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c70402169481909b219dc5f4a64b9b |
completed | March 27, 2026, 10:26 p.m. |
| PD | Predicate disambiguation | batch_69c70165e78c8190bf6b3c34e243cb81 |
completed | March 27, 2026, 10:15 p.m. |
Created at: March 27, 2026, 4:03 p.m.