Triple
T6833033
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | cyclotomic field |
E157383
|
entity |
| Predicate | hasGaloisGroupIsomorphicTo |
P72926
|
FINISHED |
| Object | (Z/nZ)× |
—
|
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: (Z/nZ)× | Statement: [cyclotomic field, hasGaloisGroupIsomorphicTo, (Z/nZ)×]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasGaloisGroupIsomorphicTo Context triple: [cyclotomic field, hasGaloisGroupIsomorphicTo, (Z/nZ)×]
-
A.
hasAdditiveGroupIsomorphicTo
Indicates that the additive group structure of one algebraic object is isomorphic (structure-preserving bijection exists) to the additive group structure of another.
-
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.
hasSymmetryGroupOrder
Indicates that an entity possesses a symmetry group whose total number of distinct symmetry operations equals the given order.
-
D.
usesSymmetryGroup
Indicates that one entity employs or is based on a particular symmetry group in its structure, behavior, or formulation.
-
E.
hasNormalSubgroup
Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the larger group.
- 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_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d62b1e8c8190a81d91191a54b073 |
completed | March 27, 2026, 7:10 p.m. |
| PD | Predicate disambiguation | batch_69c6d09d95f0819091ca7f897dc21efe |
completed | March 27, 2026, 6:46 p.m. |
| PDg | Predicate description generation | batch_69c6d11fab808190b18160ff3829fcc6 |
completed | March 27, 2026, 6:49 p.m. |
Created at: March 27, 2026, 2:18 p.m.