2003 Nissan Pathfinder Owners Manual
If they gave you the original owners manual, check to see if a previous owner may have written down the code. Also check the glovebox for a sticker with six numbers printed on it. There's a long shot that the code sticker could be on the back of the radio as well. Failing that, afaik the dealership should be able to retrieve the code based on your VIN without calling corporate. If that dealership doesn't want to cooperate, I'd try a different one. You'll most likely have to go in person to prove ownership, as they won't give it out to some random caller on the phone.
Of course there's always Plan B: replace it with something better.
BTW, saying your vehicle has a BOSE system is a bit of a misnomer. This topic came up awhile back in the Rogue Forum as generally people were unimpressed with the sound system. The overall system was
designed by BOSE engineers to Nissan's specifications. By and large the individual components are
not made by BOSE, which helps explain why you couldn't find their nameplate.