According to the UPS notification and RMA info in my profile, the part number for the video card (GeForce GTX 780 SC w/ EVGA ACX Cooler) I sent in and getting back (03G-P4-2784-KR) are exactly the same.
The video card I sent in was dead. I couldn't even get into Windows, let alone run any program. No, there was nothing wrong with my machine otherwise because Safe Mode (which doesn't rely on the GPU) worked just fine.
If this is a brand new GeForce GTX 780 SC w/ EVGA ACX Cooler I'm getting, that's fine. I don't want someone else's damaged hand-me-down nor do I want my original card back because it doesn't work. If it did, I wouldn't have gone through this entire mess.