"On a side note, do infinite streams of (gzip) compressed data exist?"
If you need one: 
$ gzip -f - </dev/urandom

[download]

In reply to Re^2: Uncompress streaming gzip on the fly in LWP::UserAgent/WWW::Mechanize by kschwab
in thread Solved: Uncompress streaming gzip on the fly in LWP::UserAgent/WWW::Mechanize by Your Mother

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