Triple
T25602531
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GF(p) |
E641824
|
entity |
| Predicate | hasFrobeniusEndomorphism |
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), hasFrobeniusEndomorphism, x -> x^p]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasFrobeniusEndomorphism Context triple: [GF(p), hasFrobeniusEndomorphism, x -> x^p]
-
A.
isComplexMultiplicationField
Indicates that a given field is a number field obtained by adjoining complex multiplication (i.e., it is a CM field, a totally imaginary quadratic extension of a totally real number field).
-
B.
FrobeniusAutomorphism
chosen
Indicates the automorphism of a field extension that raises each element to its p-th power (for a prime p), capturing the canonical Galois action in characteristic p.
-
C.
hasMinimalPolynomialOverQ
Indicates that one element is the minimal polynomial over the rational numbers ℚ of another element, i.e., the monic irreducible polynomial in ℚ[x] for which that element is a root.
-
D.
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.
-
E.
isGaloisEquivariant
Indicates that a map or structure is compatible with a given Galois group action, i.e., it commutes with the action of all Galois automorphisms.
- 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_69f4a0f7c6008190ae8cee3e71e19b94 |
completed | May 1, 2026, 12:47 p.m. |
Created at: April 21, 2026, 4:36 p.m.