How to verify the running kernel's architecture?

[Marcelo Magno T. Sales]

People,

How do I know if the kernel I'm running is the i586 or i686 version? 
uname -m is not useful in this case, because it shows me the machine 
architecture (which I know is i686), not the architecture for which the 
running kernel was compiled. It always shows i686, even if the running kernel 
is i586.

Thanks, 

Marcelo