"what is really amusing is that the govt asked the public for help in locating it"
Whats so amusing about that? To most thinkers it would be quite obvious why help was sought ? It is a stealth fighter, and apparently didn't have the reflective tabs deployed at the time. Therefore it was invisible to radar? After the pilot ejected it could have maintained flight for 20 klm's or more. It would also be the target of looters and even foreign agencies. Of course there would be urgency to locate it, it just takes thought..