To build the Guix System (The complete system you would call a GNU/Linux 
distribution),
first, install Guix its self on your existing distribution.

https://guix.gnu.org/manual/en/html_node/Binary-Installation.html

It's a bit involved since Guix is a unique program.
Then, download the git repository

https://git.savannah.gnu.org/git/guix.git

cd guix;
Then you can build an image for any operating system definition. Start with one 
of the
examples in gnu/system/examples:
guix system image -t iso9660 gnu/system/examples/desktop.tmpl

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