This may be of interest: http://harrisschool.uchicago.edu/about/publications/working-papers/pdf/wp_07_20.pdf It describes how the EITC works and discusses the empirical evidence on its effects, including labor supply effects. I haven't read it, so I can't vouch for it, but it looks interesting.
This links to some other research: http://modeledbehavior.com/2010/10/26/why-the-minimum-wage-should-go/
The concept of minimum wage is one I'm rather attached to. I have dozens of arguments for why it helps people, improves the world, etc. etc. I suspect this view is shared by most of this community, although I haven't seen any discussion of it.
I don't have much understanding of the harms that minimum wages cause; and at what level of minimum wage those harms become relevant (ie. a minimum wage that would not be a living wage even working 24 hours a day is unlikely to have any of the same problems that a minimum wage sufficient to buy an aircraft carrier an hour would have)
So what are the harms that such laws cause?