  We compute the contribution of all multiple covers of an isolated rigid
embedded holomorphic annulus, stretching between Lagrangians, to the
skein-valued count of open holomorphic curves in a Calabi-Yau 3-fold. The
result agrees with the predictions from topological string theory and we use it
to prove the Ooguri-Vafa formula that identifies the colored HOMFLYPT
invariants of a link with a count of holomorphic curves ending on the conormal
Lagrangian of the link in the resolved conifold. This generalizes our previous
work which proved the result for the fundamental color.
