Inverse-limit Shintani–Rubin–Stark conjecture

Assume that $(S,T,V)$ satisfies (C1), and let $\hat{\Theta}_{S,T,V}$, $p_H$, and $\hat{R}_{H/F,S,T}$ be the inverse-limit Shintani element, projection, and regulator defined in the source. Inverse-limit Shintani–Rubin–Stark conjecture. For the Rubin–Stark element $\epsilon_{H,S,T,V}$,

$$p_H(\hat{\Theta}_{S,T,V})=\hat{R}_{H/F,S,T}(\epsilon_{H,S,T,V}).$$

The source states that this is equivalent to the finite-level main conjecture and relates the inverse-limit Shintani construction to Rubin–Stark elements. The source gives no resolution status.