Triple
T32789657
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Galois extension |
E838591
|
entity |
| Predicate | hasBijectionWith |
P160523
|
FINISHED |
| Object | subgroups of its Galois group |
—
|
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: subgroups of its Galois group | Statement: [Galois extension, hasBijectionWith, subgroups of its Galois group]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasBijectionWith Context triple: [Galois extension, hasBijectionWith, subgroups of its Galois group]
-
A.
isBijective
chosen
Indicates that a function establishes a one-to-one and onto correspondence between elements of its domain and codomain, with each element in both sets paired uniquely.
-
B.
hasHomomorphism
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
-
C.
isBiholomorphismOf
Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
-
D.
hasMorphismsCorrespondingTo
Indicates that there exist morphisms between two structures such that they correspond in a specified way (e.g., via a functor, equivalence, or structural mapping) according to the given context.
-
E.
isDiffeomorphicTo
Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
- 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_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
| NER | Named-entity recognition | batch_69f73ae120bc8190bff94d38d7a7a00d |
completed | May 3, 2026, 12:09 p.m. |
| PD | Predicate disambiguation | batch_69f73a38d0848190aa5139144b8561c6 |
completed | May 3, 2026, 12:06 p.m. |
Created at: May 1, 2026, 1:14 a.m.