Kirk meeting five different Spocks from five different alternate universes, AOS, K/S

[jcatgrl.livejournal.com]

Basically, Kirk gets sent to various alternate universes, meets that universe's Spock and sleeps with them because he's in love with his Spock, but it's not reciprocated (as far as he knows). Includes a female Spock, who was bonded to her Kirk but he very recently died on an away mission, a hipster!Spock who was raised primarily as a human on Earth, possibly/probably an AOS!mirror!Spock (I don't remember, but it's highly likely), and I think Spock Prime may have also counted as one of the alternate universe Spocks. I'm pretty sure it had a happy ending, with his Spock reciprocating after all. Also, I believe it was a fill on the STXI kink meme.

ETA: Fic found! Look in the comments.