I was a theoretical physicist for 13 years, and struggled a lot with this question. I found it very useful to develop several different styles for reading mathematics and physics. Mostly I did this in the context of reading papers, not books, but the comments below are easily adapted to books. One unusual but very useful style was to set a goal like reading 15 papers in 3 hours. I use the term "reading" here in an un…
Here's my list of distributed papers, I think you're missing quite a few good ones: http://bytepawn.com/readings-in-distributed-systems/ But, more importantly, I'm curious about the 15/3-routine. How often do you do this? Recently I subscribed to the arxiv RSS (astro-ph.co, gr-qc), there's lots of papers uploaded daily, but most don't look very interesting, so 15 interesting ones would be ~1 weeks worth for me.
As regards how often I do this: I go through periods where I do it a lot (sometimes several times in a week), and then months where I don't do it at all. I do it thematically (i.e., with closely related papers), so I've never tried doing something like what you suggest with the arXiv's recent papers. They're usually not all that closely connected.