The DayZ servers for PS4 and Xbox One are currently UP.
DayZ Server Status – ONLINE
The reason for the DayZ PS4 servers and DayZ Xbox One serves being down originally is so developer Bohemia Interactive can tweak the new DayZ 1.06 console update.
You can catch the full DayZ 1.06 patch notes here.
The confirmation comes from the official DayZ Twitter account, as can be seen below:
All DayZ servers are up and running.