  We compute the spectral density of the (Hermitean) Dirac operator in Quantum
Chromodynamics with two light degenerate quarks near the origin. We use
CLS/ALPHA lattices generated with two flavours of O(a)-improved Wilson fermions
corresponding to pseudoscalar meson masses down to 190 MeV, and with spacings
in the range 0.05-0.08 fm. Thanks to the coverage of parameter space, we can
extrapolate our data to the chiral and continuum limits with confidence. The
results show that the spectral density at the origin is non-zero because the
low modes of the Dirac operator do condense as expected in the Banks-Casher
mechanism. Within errors, the spectral density turns out to be a constant
function up to eigenvalues of approximately 80 MeV. Its value agrees with the
one extracted from the Gell-Mann-Oakes-Renner relation.
