The conjecture that the modified Bloch group computes indecomposable K3

Let $F$ be a number field. Let $\overline{B}(F)$ be the modified Bloch group and let $K_3(F)^{\mathrm{ind}}_{\mathrm{tf}}$ be the torsion-free quotient of the indecomposable part of $K_3(F)$. The canonical homomorphism is

$$\psi_{F,\mathrm{tf}}:\overline{B}(F)_{\mathrm{tf}}\longrightarrow K_3(F)^{\mathrm{ind}}_{\mathrm{tf}}.$$

Modified Bloch group conjecture. The homomorphism $\psi_{F,\mathrm{tf}}$ is an isomorphism. Extensive computations for imaginary quadratic fields motivate the claim that the modified Bloch group accounts for all of the indecomposable $K_3$-group modulo torsion. The source gives no resolution, so the conjecture remains open.