"Everyone knows" that there is an equivalence between vector bundles on a smooth complete orbicurve and parabolic bundles with rational weights on its coarse moduli space. Roughly, it proceeds by pulling back the bundle, then performing elementary modifications along the flags.

But is this thoroughly explained anywhere in the literature? I know the paper of Furuta-Steer, but that is really about a Mehta-Seshadri-type result in differential geometry, associating flat connections with poles to both, whereas I seek a purely algebraic statement.

Also, is anything similar true for principal bundles with reductive structure group? Why?