I don't know about the big pieces yet, but you can push around a small piece found in D05 (near the actual Tayari Plaza) using the mongoose from the D05 Supply Cache. It's somewhat of a pain, though because you can push it from one side and use it as a ramp from another. Theoretically, we could get this into D06.
The POGG went to the trouble to note five "tether wreckage" landmarks in its maps:
D03: 2 sites (pp. 77,86,123)
D04: 1 site (pp. 70,77,124)
D06: 2 sites (pg. 125)
The small piece I mentioned above isn't listed and there are probably many more small pieces. I haven't visited all the POGG sites but I expect they are all the larger (if not burning) pieces.
As I was pushing around the piece with the Mongoose, I couldn't help but feel like
these guys. This video really cracked me up when it was originally posted to the Big Forum by Bungie member jinxst
here. (I began laughing around the 6:00 minute mark.) Such dedication! It just seemed an occult ritual was being performed as if the players were in a horror b-movie. But who knows???
Of course many will say my video was even sillier. Ah, well.