Perinet (also known as Garnidot) is the ship of Peridot and Garnet.
At the beginning of the episode when Peridot is having a breakdown over her actions in "Message Recieved" Garnet lifts her up and tries to calm her down. They are seen talking at the end of the episode.
Garnet constantly silently supported Peridot in "Log Date 7 15 2".
Peridot tried her best to understand fusion but then stated she had better understood Garnet instead.
When Garnet offered to fuse with Peridot, rather than refusing, Peridot reluctantly accepted and used the stilts Steven had previously given to her.
After Peridot had watched 'Camp Pining Hearts' for days, Garnet had remained and stayed as Peridot went on explaining how Pierre and Percy were the perfect pair.
Peridot was flustered when Garnet had found her as she donned the alien shorts.