Triple
T36871176
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Seifert fibered space |
E911225
|
entity |
| Predicate | fundamentalGroupProperty |
P78388
|
FINISHED |
| Object | contains infinite cyclic normal subgroup generated by a regular fiber |
—
|
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: contains infinite cyclic normal subgroup generated by a regular fiber | Statement: [Seifert fibered space, fundamentalGroupProperty, contains infinite cyclic normal subgroup generated by a regular fiber]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: fundamentalGroupProperty Context triple: [Seifert fibered space, fundamentalGroupProperty, contains infinite cyclic normal subgroup generated by a regular fiber]
-
A.
fundamentalGroup
chosen
Indicates the relationship that assigns to a topological space its fundamental group, capturing how loops in the space can be continuously deformed into one another.
-
B.
fundamentalDomain
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
-
C.
hasHomotopyGroup
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
-
D.
torsionSubgroup
Indicates that one group is the torsion subgroup of another, consisting of all elements that have finite order under the group operation.
-
E.
isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
- 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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69f9fd6834cc8190aa27153d6a99f3bb |
completed | May 5, 2026, 2:23 p.m. |
| PD | Predicate disambiguation | batch_69f7cf7890008190a8bc355ff2d61c86 |
completed | May 3, 2026, 10:43 p.m. |
Created at: May 3, 2026, 4:13 p.m.