It is supposed to be back up the first week of May 2011 according to Sony: The system will "will shortly begin a phased restoration by region of PlayStation®Network and Qriocity™ services, beginning with gaming, music and video services to be turned on. The company also announced both a series of immediate steps to enhance security across the network and a new customer appreciation program to thank its customers for their patience and loyalty." see related questions
It Is! The PlayStation Store is still down on May 16 2011, but the network is up
Apparentally Yes! PlayStation Network said they launched May 15th....So if its not up now,maybe in the next few days,OH AND....update ps3 to version 3.61
The network was shut down on April 20 2011 and it is not known when it will be back up. The related question has the latest informationsee related question
The network was shut down and no information is available on when it will be back up except within a week. The related question has details and will be updated with new informationSee related question
PlayStation should be back up in a few weeks
PlayStation has announed that they will have it up before may/31/11
No the network is not up yet. But on May 1 2011 Sony PlayStation network did announce that they will start bringing services back online this week. See related question
PlayStation Network is the main service that PlayStation uses for all of its online services, such as online multiplayer. You are connected to PlayStation Network whenever you sign-in, or play a game online. You can also access the PlayStation Store on PlayStation Network, as well.
You must join the Playstation Network see related link or use the one for your PS3
It won't. Sony lost their entire database from hackers. So you can't log in, sign up, or download games.
The last item in the network to come back up was the PlayStation store on June 2 2011 after the April 20 2011 shutdown
The PlayStation network was shut down because of an Intrusion and it is not known when it will be back up. The related question will be updated with current information as it becomes available