On RPi's website FAQ...
What Linux distros will be supported at launch?
Fedora, Debian and ArchLinux will be supported from the start. We hope to see support from other distros later. (Because of issues with newer releases of Ubuntu and the ARM processor we are using, Ubuntu cant commit to support Raspberry Pi at the moment.) You will be able to download distro images from us as soon as the Raspberry Pi is released, and we will also be selling pre-loaded SD cards shortly after release.
Do any of the current LTC miners work with Fedora, Debian and ArchLinux?
Sure on all of them