Goncharov's scissor-congruence realization conjecture for mixed Tate motives

For a field $F$, let $A_n(F)$ be the generalized scissor congruence group generated by admissible pairs of oriented simplices in $P^n(F)$, and let ${\cal A}_n(F)$ be the group of framed mixed Tate motives over a number field $F$. Theorem 11.18.01.5(c) constructs a canonical homomorphism

$$h_n:A_n(F)\longrightarrow {\cal A}_n(F).$$

Goncharov's scissor-congruence realization conjecture. The map constructed in theorem 11.18.01.5(c) is an isomorphism.

The conjecture asserts that the generalized scissor-congruence presentation captures all framed mixed Tate motives in the stated setting. The supplied text does not provide a resolution status.