Hi,
Others will soon way in here. Be sure to check, unplug and clean the jacks of whatever device you're plugging the bass into making sure it's not the device first before tearing into the bass. If it's not your device....
A good start is to clean all the output jacks on the bass and also clean the cables connectors (1/4 & XLR) with a Q-tip dunked in contact cleaner or alcohol--if alcohol is all you have it will work fine. Wring out the q-tip so it's not dripping before cleaning the barrel of the 1/4" jack and XLR jack on the bass. Unplug the Alembic power supply box and clean all those jacks, too. Further, you can unscrew the bass back plate, expose the cavity, and then unplug each of the pickups and single humcancellor connectors on the preamp card, clean them, re-attach them, and then be sure to slide the plastic cover/tubes back over each of the pickup connection points on the preamp card. Also, while in the open cavity, unplug the big black square connector on the preamp card, (the black connector with an arrow on it) and very, very, gently clean the pins being careful not to bend the pins so it will re-attach properly. If you're worried about this just carefully unplug and replug the black square connector a couple of times without cleaning.
If this problem happens with both the 1/4' output and the XLR outputs, I would assume it's not a problem with the Alembic power supply box. If your problem only happens when using the XLR with power supply, and works fine with 1/4" jack I would look into a faulty power supply needing a capacitor-replacement, maybe.
After checking and cleaning everything, but still having a problem, you can unplug the pickups and the black square connector from the pickup card and send just the preamp card in to Mica and Ron.
Lastly, a broken or compromised 1/4" jack on the bass will cause problems when using --either-- the XLR or 1/4" connector, so check the 1/4" jack housing while in the cavity with a flashlight, watching how it behaves when wigglying a plugged in 1/4" jack.
As always, fully rotating each of the pots 100 times or more, and moving the switches quite a few times is always recommended.