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engine gains a cover_rates axis: each rate plays a timeline through the same graph and pairs it with the epoch emission budget, which needs no graph and so is computed alongside rather than inside the window. Seeds are separate streams (traffic_seedseq for the timeline and clocks, stake_seedseq for the stake draw and budget), so the stake distribution is independent of the topology and of the message schedule. sweep writes traffic.parquet only when a cover-traffic study actually ran, so every existing config keeps producing exactly three tables. quota_summary reports the measured ceiling beside the predicted one in the same row, so a run can be checked against the closed form instead of asked to be believed. Two figures: blending against cover rate and release delay with the rate*(2M+1)/3 law overlaid, and the quota ceiling with the measured transition band against the prediction. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>