  Infinite distance limits in the moduli space of a quantum gravity theory are
characterized by having infinite towers of states becoming light, as dictated
by the Distance Conjecture in the Swampland program. These towers imply a
drastic breakdown in the perturbative regimes of the effective field theory at
a quantum gravity cut-off scale known as the species scale. In this paper, we
find a universal pattern satisfied in all known infinite distance limits of
string theory compactifications, which relates the variation in field space of
the mass of the tower and the species scale: $\frac{\vec\nabla m}{m}
\cdot\frac{\vec\nabla \Lambda_{\rm sp}}{ \Lambda_{\rm sp}}=\frac{1}{d-2}$ in
$d$ spacetime dimensions. This implies a more precise definition of the
Distance conjecture and sharp bounds for the exponential decay rates. We
provide plethora of evidence in string theory and identify some sufficient
conditions that allow the pattern to hold from a bottom-up perspective.
