Way back when dinosaurs roamed the earth and comp.compression on Usenet was a place to be, usually we went beyond the pigeonhole principle by asking people to grab a megabyte from random.org, compress it, and then get back to us.
Nobody ever did.
Nobody ever did.
The other guy came back with a program that moved some of the random data into the metadata of the filesystem, in such a way so that the produced files did indeed become small enough.
Don't know if the other guy ever paid out.
I learned a little bit about information theory that day, and my sneakernet bandwidth was saturated for a while afterwards.
full story, for the perspective of the metadata guy is here
https://www.patrickcraig.co.uk/other/compression.htm
Excellent computer story, on a par with "We can't send email more than 500 miles" IMO.
That's a cheap trick. You gotta send someone the file, otherwise there's not much of a point.