We're getting closer. Sony has just announced
via the PlayStation Blog that work on rebuilding the PlayStation Network
at its new data center is complete, and that its "global network and security teams" teams are busy testing it internally.
According to the announcement, Sony is in "the final stages of internal testing of the new system, an important step towards restoring PlayStation Network and Qriocity services." The company didn't go so far as to estimate when PSN will be back online for everyone, but it's calling this a "milestone" in the process, so we'll hopefully learn more soon.