This is painstakingly done, comprehensive work on the earnings of individuals who make minimum wage at some point in their careers (typically, though not always, at career onset). Recommended reading for anyone interested in how minimum wages fit into the big picture.
Workers earning minimum wages typically show stronger future careers, and state minimum wage policies do not significantly alter these relative trajectories, from Sari Pekkala Kerr, William R. Kerr, and Louis J. Maiden www.nber.org/papers/w34405