Replying to Ipods: Death by Cold.

So i know most people's ipods die really fast when they are cold, regardless of the charge, just because of the temps slowing down the chemical reactions in the Li-ion batteries and stuff. 

Unfortunately, oakley made the media pocket on my jacket on the outside of the insulation and stuff, so the wind and cold just whips through my jacket, freezing my ipod after a run or two.  Since its on the outside of my body, my body heat doesnt do much to keep it warm, so my pod usually only lasts about a half hour before dying. 

Does anyone have any suggestions for keeping it warm and alive longer?  I've only thought of like putting it inside of a mitten so it would stay warm longer, or maybe throwing some hand warmers in my pocket with my ipod to try and keep it toasty and alive. 

Any ideas would be sick, im tired of wearing my skull candies with no tunes bumpin through my oversized DJ muffs (kidding, sort of).