Triple
T25602536
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GF(p) |
E641824
|
entity |
| Predicate | isGaloisOver |
P72925
|
FINISHED |
| Object | its prime field |
—
|
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: its prime field | Statement: [GF(p), isGaloisOver, its prime field]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isGaloisOver Context triple: [GF(p), isGaloisOver, its prime field]
-
A.
isGaloisExtensionOf
chosen
Indicates that one field is a Galois extension of another, meaning it is a normal and separable field extension whose automorphism group over the base field captures all its symmetries.
-
B.
hasGaloisGroup
Indicates that one mathematical object (typically a field extension or polynomial) has the specified group as its Galois group, capturing the symmetries of its roots or structure.
-
C.
hasGaloisGroupIsomorphicTo
Indicates that the Galois group associated with one mathematical object is isomorphic (structure-preserving bijection exists) to the Galois group associated with another object.
-
D.
GaloisGroupOver
Indicates the relationship where a group is the Galois group of a given field extension, capturing the automorphisms of the extension field that fix the base field.
-
E.
isAlgebraicOver
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
- 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_69e75dc6ccf081908d49578fd36a76d5 |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f9a7d7d881909014fdf3746f981b |
completed | May 2, 2026, 1:18 p.m. |
| PD | Predicate disambiguation | batch_69f480789be08190ab252a6de3797200 |
completed | May 1, 2026, 10:29 a.m. |
Created at: April 21, 2026, 4:36 p.m.