Lapidot

"Lapidot" is the Non-binary ship between Lapis Lazuli and Peridot from the Steven Universe fandom.

Canon
In the early episodes, Lapis was Peridot's informant to Earth. After Peridot's redemption, Peridot tried to become friends with Lapis, but the latter denied her friendship. Eventually, Lapis accepted Peridot as a roommate. For months after they became roommates, they created art together and watched TV. When Lapis heard about Steven’s trip to Homeworld, she became afraid to get caught up in another war, she took the barn and left with all of her and Peridot’s valuables, leaving Peridot with their pet pumpkin. It became fact that the relationship wasn’t so much of a friendship, but more of a companionship, with Peridot carrying all the emotional weight to the point where she became afraid to talk to Lapis about her own feelings. Their relationship after the events of "Raising the Barn" drastically changed. Peridot was really depressed when Lapis was gone, hardly anything could cheer Peridot up, not even training and hanging out with the Crystal Gems. However, Lapis eventually came back in the episode "Reunited". Peridot was really happy to see her again Lapis came back because, as she quoted, if Homeworld considered her a rebel/Crystal Gem, she might as well be one. Soon after they got poofed by the Diamonds and are currently still poofed.

Moments

 * In "Catch and Release", Peridot mentions how she knows Steven healed Lapis' gem, but in "The Message", Lapis told Steven she never told anyone, implying that Lapis lied about the event, keeping it a secret. Peridot most likely had found this out from seeing Lapis’ video broadcast, though.
 * In "Barn Mates", Peridot shows a lot of admiration to Lapis and tries her very best to make up for the past actions to Lapis. Lapis later protects Peridot and Steven and asks Peridot if she is alright, Peridot smiles brightly and Lapis turns away, frustrated and blushes while frowning.
 * In "Too Short Too Ride", Peridot encounters an advertisement for "cute roommates" on her tablet. She presses the decline option repeatedly saying that she “already has one"
 * In "Beta", Peridot and Lapis are shown to be making art together and they dance together with Steven and Amethyst watching. Before leaving to the Beta Kindergarten Peridot checks on Lapis to make sure she is doing alright.
 * In "Back to the Moon, when Amethyst asks Lapis is she wants to join them as prisoners, Peridot protectively reaches and holds Lapis' arm.
 * In “Room for Ruby,” Peridot makes fun of how Lapis snores in her sleep, resulting in Lapis blushing angrily in embarrassment.
 * In many of the show's episode promo images (which have a high school or college theme) Peridot and Lapis appear together or seemingly friends with each other.
 * When asked at a comic con, Rebecca Sugar stated she sees Peridot and Lapis’ friendship as the “big bored dog, little excited dog” trope seen in cartoons. Peridot is the small excited one while Lapis is the big stoic one that often gets annoyed but the smaller one (but doesn’t dislike the smaller one either).
 * On Peridot's Twitter account (Which was managed by ex-Crew-member Lauren Zuke, thus meaning it no longer has much canon substance), Peridot tweets about climbing onto the barn roof to investigate a noise, and posts an image of the night sky with Lapis slightly in shot. Quickly after, she posts that she will discuss her Camp Pining Hearts essay later and stops posting, leading few to believe that she and Lapis had a conversation or interacted.
 * In another "posting run" on Peridot's official Twitter account, Peridot posts about many random and odd things during the airing of "Alone at Sea" and says she has the barn to herself. Peridot posts images of spoons showing how she can move them with her mind and says she wants to show Lapis. Soon after, she posts about Lapis' return but seems to be surprised or stunned, and says she'll be back later and stops posting. Many have taken this as Lapis being upset upon returning to the barn after what happened on the boat and Peridot logging off Twitter to comfort her.

Fanon
Lapidot is a well-received ship, though there is often competition between these shippers and Amedot shippers. Lapidot being the more popular ship according to multiple shipping surveys on various apps and fandoms