The reconstruction conjecture for Vassiliev 1-cocycles from the Kontsevich integral

Let $\alpha$ be a Vassiliev $1$-cocycle of degree $m$, and let $\tilde{\alpha}$ be the $1$-cocycle obtained by composing the weight system associated to the principal part of $\alpha$ with $\hat{Z}^1$. Reconstruction conjecture. For every $1$-cocycle $\alpha$ as above, $\tilde{\alpha}=\alpha$. This asserts that the Kontsevich integral recovers every Vassiliev $1$-cocycle from its principal part; the supplied text does not state whether the conjecture is open or resolved.