Triple
T36640584
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S5 |
E904571
|
entity |
| Predicate | isGaloisGroupOf |
P72958
|
FINISHED |
| Object | generic irreducible quintic polynomial over Q |
—
|
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: generic irreducible quintic polynomial over Q | Statement: [S5, isGaloisGroupOf, generic irreducible quintic polynomial over Q]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isGaloisGroupOf Context triple: [S5, isGaloisGroupOf, generic irreducible quintic polynomial over Q]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
isGaloisExtensionOf
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.
-
E.
GaloisGroupOver
chosen
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.
- 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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69f7c777e924819081a6634f549fe552 |
completed | May 3, 2026, 10:08 p.m. |
| PD | Predicate disambiguation | batch_69f7c477a4d481908f52e55b6688f60c |
completed | May 3, 2026, 9:56 p.m. |
Created at: May 3, 2026, 4:11 p.m.