If this snake is over a year old and of a size and weight appropriate for age, not feeding for 1 month is not that big a deal yet.
However, if this non-feeding corn is a hatchling or very young, say 8 months or less, you should be getting concerned at the one month point of not eating. At the two month point of not eating, the potential for serious health declines and death becomes a real problem for such young snakes. I know because I went through that when I was a novice at snakekeeping, and numerous members here have had close calls or have lost their hatchlings because of this. I was very lucky to get my corn to a vet for syringe feeding with "AD" at the 2 month point, and today, Valentine is a very healthy 20 month old corn.
See my other post on gentler "force-feeding" options.
http://www.cornsnakes.com/forums/sho...=2207#post2207
Again, don't freak if you have an older snake, but I suspect your corn is a hatchling from your mention of pinkies for food.
Let us know how this goes.
Good health to your corn,
Doctor Mike