  We determine the skein-valued Gromov-Witten partition function for a single
toric Lagrangian brane in $\mathbb{C}^3$ or the resolved conifold. We first
show geometrically they must satisfy a certain skein-theoretic recursion, and
then solve this equation. The recursion is a skein-valued quantization of the
equation of the mirror curve. The solution is the expected hook-content
formula.
