So apparently there may be a loophole (info acquired from wikipedia confidence == low) The SSN wikipedia page at the very bottom mentions that SSN's used in advertising are considered invalid.
Possible solution advertise all SSN's in card format invalidate them all and force hand of government? Implausible but not improbable.
Or possibly advertise your own once it is known to be hacked...just throwing wet spaghetti at wall but there may be something that sticks.