Hosted Note
A hosted note is a note nested within a host note and refers to only said note's domain thots.
Phrasing
An extracted note is still considered a hosted note.
Creating a new hosted note (by sponsorship)
When a body thot is first sponsored by a sponsor, the body thot becomes a header thot, consequently creating a new hosted note.
Creating a new hosted note (by extraction)
When an extracted note is created it consequently becomes a hosted note.