Triple
T25677050
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GF(p^m) |
E643835
|
entity |
| Predicate | FrobeniusAutomorphism |
P158980
|
FINISHED |
| Object | x -> x^p |
—
|
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: x -> x^p | Statement: [GF(p^m), FrobeniusAutomorphism, x -> x^p]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: FrobeniusAutomorphism Context triple: [GF(p^m), FrobeniusAutomorphism, x -> x^p]
-
A.
fullAutomorphismGroupOf
Indicates that one entity is the complete group of all automorphisms (structure-preserving bijections from an object to itself) of the other entity.
-
B.
automorphismGroupIsomorphicTo
Indicates that the automorphism group of one structure is isomorphic, as a group, to the automorphism group of another structure.
-
C.
isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
-
D.
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.
-
E.
outerAutomorphismGroup
Indicates that one group is the group of all outer automorphisms (automorphisms modulo inner automorphisms) of another 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_69e77e7f69808190ad27df1006f6037a |
completed | April 21, 2026, 1:41 p.m. |
| NER | Named-entity recognition | batch_69f5fb3712cc8190b6e851960cc7c9e9 |
completed | May 2, 2026, 1:25 p.m. |
| PD | Predicate disambiguation | batch_69f4807f8680819098a524158d049c63 |
completed | May 1, 2026, 10:29 a.m. |
| PDg | Predicate description generation | batch_69f48b9058d081908ec9af261ee092e2 |
completed | May 1, 2026, 11:16 a.m. |
Created at: April 21, 2026, 7:40 p.m.