The cord-algebra isomorphism conjecture for knot contact homology

Let $\Phi$ be the chain map from the degree-zero knot contact-homology complex at $Q=1$ to the cord algebra of a knot. Cord-algebra isomorphism conjecture. The map $\Phi$ induces an isomorphism between degree-zero knot contact homology at $Q=1$ and the cord algebra. The source explains that this would follow from the preceding disk-counting and rounding results together with work in progress; the conjecture is not resolved in the supplied text.