Triple
T6833046
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | cyclotomic field |
E157383
|
entity |
| Predicate | generatedAsQAlgebraBy |
P72930
|
FINISHED |
| Object | root of Φ_n(x) |
—
|
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: root of Φ_n(x) | Statement: [cyclotomic field, generatedAsQAlgebraBy, root of Φ_n(x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: generatedAsQAlgebraBy Context triple: [cyclotomic field, generatedAsQAlgebraBy, root of Φ_n(x)]
-
A.
associatedGradedIs
Indicates that one mathematical object is the associated graded object (e.g., graded structure derived from a filtration) of another.
-
B.
associatedCayleyGraph
Indicates that there is a Cayley graph constructed from, or corresponding to, the given algebraic structure or group.
-
C.
isRingTheoreticAnalogueOf
Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
-
D.
isPIAlgebra
Indicates that an algebra satisfies a polynomial identity, meaning all its elements obey at least one nontrivial polynomial equation with coefficients from the base field.
-
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.