Well, this just means you're a magnificent lucky bastard, I suppose. Just to be sure though I'd dump the game from the Sky cart via DiskWriter and check if the ID is used by the game and you didn't mess up. HxD will help you find the data. If it does work then wow, talk about Las Vegas kind of luck, buy a lottery ticket or something cause you're on a roll. XD
So I assume you meant to backup the game using DiskWriter and then open the bkg file in HxD...well...I did, and there are a lot more strings in this than I expected, where do I scroll to to find what you want me to find?(Which what I assume to be the Cart ID and Unique ID)