Default [Q] is there a way to sync pinned music across devices

Does anybody know if google music stores what music I have pinned? issue now is that I have a lot of music pinned on my device, and with my other device and every new install I need to go through the whole list again....

Is there a way to back up the list of pinned songs?

Device = Nexus 4, Nexus 7 (2013)