We’re writing this story up immediately after a press release from Sony stormed our inboxes with news of full PlayStation Network restoration. And while it’s publication will be delayed, the news is coming as of 1AM EST in the US. So, there’s a chance that by the time you’re seeing this article, the PlayStation Network will have been fully restored in your region.

Sony made mostly good on their promise to have the PlayStation Network fully rebuilt and available by May 31st, or within the few days following that date. As of writing this story it’s too early to tell exactly how well the network relaunch is going, but the press release sent from Sony came with a strong sense of the utmost confidence in their process.

Here are the major details from the press release sent from Tokyo, Japan at 2pm local time on June 2nd, 2011:

TOKYO, June 2, 2011 /PRNewswire/ — Sony Corporation and Sony Computer Entertainment (SCE) announced today that Sony Network Entertainment International (SNEI, the company) will fully restore all PlayStation®Network services Thursday, June 2, 2011, in the Americas, Europe/PAL territories and Asia, excluding Japan, Hong Kong, and South Korea. The company will also resume Music Unlimited powered by Qriocity™ for PlayStation®3 (PS3®), PSP® (PlayStation®Portable), VAIO and other PCs.

If the network is, in fact, up right now… hooray! It’s been more than a month since the initial hacker intrusion that forced Sony to shutter their online service. Since then, gamers saw a period of full outage and then a period of access to the multiplayer portions of games and not the PlayStation Store.

The Store should now be open for business. And that’s our cue to remind you to take advantage of Sony’s Welcome Back program and score your free PS3 and PSP games and content. For full details on that process, check out our original story. Remember, you have 30 days to claim your goods.

As more news comes of this restoration process, we’ll have it.

Update: The Welcome Back package will not be available until tomorrow, June 3rd, as per PlayStation.Blog. Make sure you check back then and snag your free stuff. We’re willing to be the PSN will have a hard time keeping up with the download pace, so prepare for a bit of a wait.