  We show that the implications of the generalized uncertainty principle (GUP)
in the black hole physics are consistent with the predictions of the
corpuscular theory of gravity, in which a black hole is conceived as a
Bose-Einstein condensate of weakly interacting gravitons stuck at the critical
point of a quantum phase transition. In particular, we prove that the
GUP-induced shift of the Hawking temperature can be reinterpreted in terms of
non-thermal corrections to the spectrum of the black hole radiation, in
accordance with the corpuscular gravity picture. By comparing the two
scenarios, we are able to estimate the GUP deformation parameter $\beta$, which
turns out to be of the order of unity, in agreement with the expectations of
some models of string theory. We also comment on the sign of $\beta$, exploring
the possibility of having a negative deformation parameter when a corpuscular
quantum description of the gravitational interaction is assumed to be valid.
