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Thanks to our friends at The Cryonics Institute, we now have an answer:
"***BEFORE PROCEEDING ANY FURTHER:***
IF THE PERSON HAS ALREADY DIED, COOL HIS OR HER HEAD
IMMEDIATELY.
PLACE ICE CUBES, OR CRUSHED ICE, OR WATER ICE, IN A PLASTIC BAG, AND COMPLETELY COVER THE FRONT, TOP, BACK AND SIDES OF THE PERSON’S HEAD.
Click Here if death HAS NOT YET occurred and the person IS NOT a CI member.
Click Here if the person HAS ALREADY DIED and IS NOT a CI member.
Click Here if the person that is dying or deceased IS NOW a CI member."