Hard to say because when there is a lot going on during the song it is hard to tell. As far as I can tell, It does seem that it is a bit random and scratchy. I didn't hear a consistent pink noise hiss the entire time I was listening. Certain times the static would come up and then go away. I did not really test if it got louder with the volume increase so hard to tell. I can test that later tonight.
Well if it's not at that loud of a volume in comparison to the music it's going to be completely masked in busy parts of the song, whether it's interference, a low SNR, or whatever. A good track to test what it sounds like is just a silent track. Try "Magic Window" by Boards of Canada.
My guess is that it's either a combination of amplifying a not too clean signal from your soundcards headphone out, the receiver itself doesn't have that great of a SNR, or maybe even a ground loop(but that's usually more of a hum). If the static is not amplified depending on your volume but instead stays consistent regardless of where the volume knob is, then it is probably interference from some component in your computer.