Slight aside -- I am a long-time user of Cython and would love to contribute, but poking around the source code feels daunting -- like there is a huge learning curve to be able to contribute, and that other contributors will only view newcomers as an annoyance who will drain their time with questions.
Given all this, what's the best way for someone to pick up and start contributing to Cython?
It definitely is daunting; in particular because Cython isn't so much a goal as itself as a tool that developers are motivated to work on it because they use it in some other project they care about (e.g., lxml, Sage, ...). So it's been pragmatic development.
If you don't already, subscribe to and start to follow cython-devel. First step is probably repeat the question there for more up-to-date info than what I can give (I don't even follow any longer).
Think about what you want to achieve/change in Cython. A new feature may be easier than a bugfix, though I'm not sure how many "low hanging features" are left at this point.... Anyway, make sure you understand what the change would involve in changes in the C code. Write a testcase that uses Cython the way you would want it to work (elicit the failure/bug/feature); look at the C code that Cython generates, and make sure you understand why that C code is the wrong code and that you know how you'd want it to look. (Understanding the generated C code at this level and read it almost fluently may take a little bit of getting used to but is an absolute requirement for working with Cython -- eventually you look past all the __pyx_ everywhere).
Then somehow try to beat the Cython codebase into submission in generating that C code... as you repeat this process you'll gradually learn the code.
It seems like Robert Bradshaw and Stefan Behnel are still around, they are very capable and friendly people and I learned a lot of what I know about programming from them, they were very welcoming to me as a new contributor.
Given all this, what's the best way for someone to pick up and start contributing to Cython?