One method that I have used, if you have a soldering gun is to replace the standard tip with a piece of 10 awg. copper wire to make a loop of about 2" in diameter. Turn on the gun to the 140 watt position and pass the jaws of the calipers into and out of the loop. Do not release the trigger until you have removed the calipers from the vicinity of the loop. This should demagnetize them.
The wire will heat up so act quickly and don't touch anything heat sensitive to the wire. I use 10 awg wire to make my own soldering tips rather than buying the pre-made tips.
In theory, you should be able to make multiple loops of the same gauge wire since the magnetic flux is proportional to the number of turns times the current flowing and the resistance of the wire is proportional to the length of wire and therefore current will be inversely proportional to the number of turns so, for constant voltage, the flux is a constant.
Another method involves an old CRT TV or monitor. They all had a degaussing circuit consisting of a coil of wire wrapped around the perimeter of the CRT which was energized when the set was turned on. One of those coils run with a Variac would enable you to degauss a larger item. Again, they were made for short term use so this is a get in/get out quickly kind of thing.
Finally, I had an old cassette tape eraser that used a rotating permanent magnet.The rotation creates the changing magnetic field instead of the alternating current. To use, you start the magnet(s) rotating and slowly bring your tool in as close as possible and withdraw it slowly. Stop the rotation after the tool is removed from the vicinity. With some of the rare earth magnets available now, you could probably make a degausser by epoxying two magnets to a steel bar or plate that has an central axle you can mount in a lathe or mill. It would be best to put it magnets in a pocket or use other restraints to prevent them from being thrown out by centrifugal force and become unguided missiles. Based on the tape demagnetizer, you will not need high rpm. I would think that 200rpm would work.
The principle behind all demagnetizers is that you have to use a spatially magnetic field strong enough to align the domains in opposition to the existing magnetism. By pulling the object out of the varying magnetic field, the domains are random ly aligned again and the object is demagnetized.