Triple
T6833034
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | cyclotomic field |
E157383
|
entity |
| Predicate | hasGaloisGroup |
P72927
|
FINISHED |
| Object | multiplicative group of units modulo 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: multiplicative group of units modulo n | Statement: [cyclotomic field, hasGaloisGroup, multiplicative group of units modulo n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasGaloisGroup Context triple: [cyclotomic field, hasGaloisGroup, multiplicative group of units modulo n]
-
A.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
-
B.
hasSymmetryGroupOrder
Indicates that an entity possesses a symmetry group whose total number of distinct symmetry operations equals the given order.
-
C.
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.
-
D.
hasNormalSubgroup
Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the larger group.
-
E.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
- 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.