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qsz comments on Even better cryonics – because who needs nanites anyway? - Less Wrong Discussion
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Very neat idea, but what kind of energy demands would be required to maintain that level of pressure over the long term? I also think the structural demands of maintaining pressure would be substantial.
Theoretically, zero. However you're right that the structural demands of maintaining pressure over long term (and, especially, maintaining cryogenic temperatures and high pressures at the same time) are high and there is a large risk of unintended pressure release.
There's also leakage by diffusion of gasses, which might be non-negligible due to the high pressure gradient, although the diffusion coefficient e.g. of water through steel should be low. Not sure how that works out.