Unless the instructions for the contest expressly say turn in a copy of the recipe, then you don't do it at all. I've never had a contest ask for one. Contests are done blindly, just the barest info on your registration label, that's why they don't even want any writing on the bottle cap, and want only the label they say they want which usually just has the brewers name, name of the beer, and bjcp category on it. And that is rubberbanded on, not even glued. And only certain sized bottles. They want nothing to stand out, except the beer.
If it isn't expressly asked for in the contest entry info. DON'T DO ANYTHING ELSE, you'll probably just get tossed out of the contest otherwise.They won't accommodate you by covering your cap, or remving your fancy glued on label, they'll just disqualify you...