Triple
T33579937
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | metaplectic group |
E860123
|
entity |
| Predicate | hasNontrivialElementInKernelOfCoveringMap |
P203696
|
FINISHED |
| Object | element of order 2 |
—
|
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: element of order 2 | Statement: [metaplectic group, hasNontrivialElementInKernelOfCoveringMap, element of order 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasNontrivialElementInKernelOfCoveringMap Context triple: [metaplectic group, hasNontrivialElementInKernelOfCoveringMap, element of order 2]
-
A.
hasCoveringMapTo
Indicates that one mathematical space is related to another by a covering map, i.e., a continuous surjective map where each point in the target has a neighborhood evenly covered by disjoint homeomorphic copies in the source.
-
B.
hasHomotopyGroup
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
-
C.
hasUniversalCoverTopology
Indicates that one space is equipped with the topology inherited from, or corresponding to, its universal covering space.
-
D.
isNontrivialCoverWhen
Indicates that one entity serves as a cover of another in a way that is not trivial, meaning the covering relationship is proper and carries substantive structural or contextual significance.
-
E.
hasTrivialAbelianization
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
- 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_69f3497d37848190afcbb5ef3f5c7376 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_6a01ca0db6f08190bed479584114e63d |
completed | May 11, 2026, 12:22 p.m. |
| PD | Predicate disambiguation | batch_6a01c96ff4a08190a4fbf0cebbda95b4 |
completed | May 11, 2026, 12:20 p.m. |
| PDg | Predicate description generation | batch_6a01ca0bf57881908d0dcfb2a25556b3 |
completed | May 11, 2026, 12:22 p.m. |
Created at: May 1, 2026, 1:40 a.m.