  This is a Reply to the Comment from F. Cinti and M. Boninsegni on our recent
work on the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in a
two-dimensional dipolar system [R.Bomb\'in, F. Mazzanti and J. Boronat,
Physical Review A 100, 063614 (2019)]. The main criticism about our work,
expressed in that Comment, is that we did not explicitly report the two spatial
contributions to the total superfluid fraction. Here, we analyze our results
for a point of the phase diagram corresponding to the stripe phase, close to
the gas to stripe transition line, and for a temperature below the BKT critical
temperature. The scaling with the system size of the contribution to the
superfluid fraction, coming from the direction in which spatial order appears,
shows that it remains finite in the thermodynamic limit, as we already stated
in our original work. This allow us to state that the stripe phase is
superfluid at low temperatures. Furthermore, we offer some comments that help
to understand where the differences between the results of Cinti and Boninsegni
and ours comes from.
