https://en.wikipedia.org/wiki/Brumer%E2%80%93Stark_conjecture
Resolves once a proof is well-accepted among the mathematical community. If it's proven to be unprovable or not well-defined, resolves N/A.
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It seems that a proof of the conjecture "away from p = 2" has already been given: https://annals.math.princeton.edu/2023/197-1/p05
The same authors (and two other authors) have given a proof over Z here: https://arxiv.org/abs/2310.16399
I am not capable of evaluating whether the proofs of the latter paper are correct. I still take the article as evidence for YES, as based on other information it seems likely that they are.
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