Localization conjecture for Rubin–Stark elements

Let $\epsilon_{H,S,T,V}$ be the Rubin–Stark element and let $\epsilon_{H,S,T,V}^{\mathrm{an}}$ be the analytic Rubin–Stark element defined in the inverse-limit localized module. Let $\operatorname{loc}$ be the localization map. Localization conjecture.

$$\operatorname{loc}(\epsilon_{H,S,T,V})=\epsilon_{H,S,T,V}^{\mathrm{an}}.$$

This gives a conjectural construction of the localized Rubin–Stark element from the Shintani zeta-function construction. The source gives no resolution status.