The paper is very interesting! Really want to take the time to read it.
Bear in mind there is a matter of degree.
> The weight of that evidence points to little or no employment
response to modest increases in the minimum wage.
What will define "modest"?
In argentina, minimum wage is almost median real income. 40% of workers work under the table. Id be extremely surprised that lower minimum wage wouldn't increase formal employment tremendously.
After a 1 minute google, bam, figure 1, a cluster at 0.[0]
[0] http://cepr.net/documents/publications/min-wage-2013-02.pdf