Had an idea - looking for a math buff to tell me if it's possible

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> no no no.. it's simply, since the OP posited a math solution, md5.
> ship the size of file + hash, compute file on the other side. All
> files can be moved anywhere regardless of the size of the file in a
> single packet.

MD5 compression is lossy in this context.  Given big enough files
you're going to start seeing hash collisions.

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