I appologize for the mini-hijack, but feel compelled to comment.
I like the blocking (bridging). You wouldn't believe how this assists in transferring load and reducing deflection. I would have preferred it being in line to get the biggest bang for the buck.
Now as far as using 4x4's....one of the worst choices using it for horizontal support. You would have been better off screwing and glueing two 2x4's together. Granted it's between 16 inch centers, but I'm still willing to bet that if you hold up a steel straight edge, you'll see a nice little bend. Also, I'd suggest redoing this and grabbing at least three joists. The reason is that by only using two, the jack post could act like a fulcrum and have one joist "dip" while the other goes up, causing for a catastrophic failure. Hope that makes sense.