Android 4.1 update to the Galaxy S3 will start pushing out from October 25. That's tomorrow then. We've got a build number, a reminder to the stores to update their own devices, pretty much everything.
It also looks like the Sprint update will bring some LTE related improvements too. It does say that it will be rolling out over the course of a few weeks, so be patient. But, from tomorrow, start checking for those updates.
