I don't understand what a Pourbaix diagram is supposed to represent, and although I know what a solubility diagram is, its a lot for me to process, quickly glancing at the paper. Maybe, like you said, you'll begin to understand better, once you've read the references. Or maybe, the references found in the references, for the most basic concepts. Or, if you can find the author in Science or Nature, they'll give a simpler summary.