Arcelios, you may never be able to call it completely yours since whatever customizations you make to the Linux kernel, it still will be the Linux kernel. So, in this case, it will be called based on Kernel 2.6.x.x :)
And that's not a bad thing. Having a distro based on another distro does not make it less popular. There are distros based on Ubuntu, Fedora, and various live CDs, so that's not a bad thing.
You can base on your distro on any other distro, give it whatever name you want, change things the way you want them to be and there's no stopping you.
here's an excellently detailed tutorial on how to go about customizing a distro. It even tells you how to add your own artwork, apart from what applications it has and the works.
http://www.cyberpunkcafe.com/page.php?31
Cheers!
Coauthor of Beginning Fedora: From Novice to Professional published by Apress.
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