While they're still giving no specific date, Sony still wants you to know that they're working hard to solve the PSN catastrophe. Addressing the service restoration, Senior Director of Corporate Communications Patrick Seybold posted the following:

I know you all want to know exactly when the services will be restored. At this time, I can’t give you an exact date, as it will likely be at least a few more days. We’re terribly sorry for the inconvenience and appreciate your patience as we work through this process.

Here's hoping "a few more days" doesn't turn into "a couple more weeks."

Source: Playstation Blog