Now that results have been released to all of the NRMP applicants, I can tell you the loophole and maintain my "integrity." Login to the NRMP website, go to the "Directory." This brings up a search screen to search for programs. I remember using this when putting in my ROL to get the NRMP number for programs. Yesterday, instead of listing all of the programs when you search, it listed a limited number of programs which nearly matched the number of openings for each specialty. You could not be sure these were unfilled programs, but it sure seemed that way.
Upon release of all of the program names today, it seems that all of the unfilled programs were on that list yesterday (at least for radiology, anesthesia), but a few that showed up on the list yesterday were not on the list today. I think NRMP is now aware of this loophole and will close it next year.