$ python3 -u delta_spotcheck.py 9 stored: 1395 values, m = 1046..2440 checking 9 of them m=1046 prec= 2601 ok recomputed rad 0.000e+00 vs stored [2.5333e-467 +/- 3.21e-472] (4.7s) m=1220 prec= 2984 ok recomputed rad 0.000e+00 vs stored [2.8386e-530 +/- 1.84e-535] (7.5s) m=1394 prec= 3366 ok recomputed rad 0.000e+00 vs stored [7.1825e-593 +/- 4.77e-598] (11.6s) m=1568 prec= 3749 ok recomputed rad 0.000e+00 vs stored [9.2702e-656 +/- 2.98e-661] (17.3s) m=1742 prec= 4132 ok recomputed rad 0.000e+00 vs stored [1.1450e-718 +/- 1.83e-723] (23.9s) m=1916 prec= 4515 ok recomputed rad 0.000e+00 vs stored [1.3122e-781 +/- 8.98e-787] (30.7s) m=2090 prec= 4898 ok recomputed rad 0.000e+00 vs stored [1.5520e-844 +/- 9.08e-851] (40.7s) m=2264 prec= 5280 ok recomputed rad 0.000e+00 vs stored [4.0544e-907 +/- 4.50e-912] (53.5s) m=2440 prec= 5668 ok recomputed rad 0.000e+00 vs stored [6.2090e-971 +/- 2.36e-976] (69.6s) 9 of 9 agree Settings of record: 9 samples, stride 174, m = 1046..2440, each at the precision its own shard entry records. Wall clock 260s single-core. This is a SAMPLE, not a reproduction. The full extension is ~9.4 core-hours (delta_arb scales near m^2.6: 4.7s at m=1046, 69.6s at m=2440) and the original run used 256 cores. What the sample establishes is that the committed shards were produced by the delta_arb in this tree at the precisions they record -- it would catch a drifted precision rule, a truncated shard, or a stride off-by-one. It would not catch a wrong value at an m that was not sampled.