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pj
1008402558
The paired path had the same defect as the unpaired one: it subtracted two step counts and handed the differences to the signed-rank test, so a pair holding a run the wall clock stopped at step 12 entered as a difference neither run supports. Twenty seeds where the first arm was still clean at step 12 and the second violated at step 5 in six of them read sign -1 and p 0.0011, pointing at the arm that never violated. A pair is now scored the way the unpaired comparison scores one and tested by the exact sign test over the pairs whose order censoring determines, which is what the log-rank stratified by seed reduces to here. The signed-rank goes with the differences it needed: a magnitude-based paired test wants a difference from every pair, and the arms censor on different clocks. The median difference stays, over the pairs where both runs violated, and says so.