Lost Prisoner Tally
The answer is, no.
The (trivial) proof:
The problem, of course, is that one does not know who played the last stone:
NB + PB = NW + PW + X <=> PB - PW = NW - NB + X
(with N on board, P off board, and X either 0 or 1)
I wouldn't have cared to add this go triviality if the tally master himself hadn't ignored it once ;-)
-- Robert Pauli