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adv-accept report: the 0.995 floor against eight measured concentrations (five refused, three residuals incl. Devnet 3 epoch 0); logs copied

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Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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igneum-labs 2026-10-07 20:37:20 +00:00
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142
docs/analysis/cryptanalysis/logs/adv-accept/gap-five-d20730.log Normal file
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lease: 0 of 4 pool cores free (88 leased); waiting
lease: holding 8 pool cores (42,43,44,45,46,47,48,49, waited 31 s, class adv): adv-accept gap-five-d20730
gap: hex program adv-cache-2-era-fixed-20: epoch bc6ad5ae912e203edbba9f74bc1c2ae35d8670d74a66c3939674366ae28e2746 era edc4fa844da9dc98d37e965176f6558a31560e40502ab3ae5491b21aaaabfb07
gap: program id 11f9f955b21d56c9 attempt 1 class mx8-erad810f22d+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 127.999 saturated 0 bias_max 54; live distinct_mean 128.000 saturated 1 bias_max 57
gap: site 0 closed ratio 1.0000 (1046495) live ratio 1.0001 (1046588) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 0.9999 (1044385) live ratio 0.9999 (1044399) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0001 (1040439) live ratio 1.0000 (1040401) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1046505) live ratio 1.0000 (1046516) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1046571) live ratio 1.0000 (1046501) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1046505) live ratio 1.0000 (1046524) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 0.9999 (1046439) live ratio 1.0000 (1046569) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 0.9999 (1046459) live ratio 1.0000 (1046498) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0001 (1044536) live ratio 0.9999 (1044413) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 1.0000 (1044444) live ratio 0.9999 (1044416) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0000 (1044519) live ratio 1.0000 (1044453) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 0.9997 (1046229) live ratio 0.9997 (1046174) diff +0.0001; reads on indices read >= 8 times: closed 0.0008% live 0.0000%
gap: site 12 closed ratio 1.0000 (1046567) live ratio 1.0000 (1046536) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1046543) live ratio 1.0000 (1046548) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 0.9999 (1044374) live ratio 1.0000 (1044433) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 0.9999 (1044385) live ratio 0.9999 (1044349) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9997 live 0.9997; largest site gap -0.0001 at site 6; verdict under the 0.98 floor: closed accept live accept; 14.1 s
gap DONE 11f9f955b21d56c9
gap: hex program adv-cache-2-era-drawn-2: epoch 348a0e0a344d74eed85878dddbd6008d363188db30d3b1e7335e8588ed694101 era 6469f1b0f5d45ff506504b1fea38093175f651ad082e229b8b76d4f3f6c9af31
gap: program id 7ceb797d31eedb3e attempt 0 class mx8-eracd0def15+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 56; live distinct_mean 128.000 saturated 0 bias_max 50
gap: site 0 closed ratio 1.0000 (1044481) live ratio 1.0001 (1044590) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046558) live ratio 0.9999 (1046461) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1044519) live ratio 0.9999 (1044427) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0001 (1044587) live ratio 1.0001 (1044546) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0001 (1046586) live ratio 1.0000 (1046527) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1040333) live ratio 1.0001 (1040438) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0000 (1040352) live ratio 1.0000 (1040433) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0001 (1044534) live ratio 1.0000 (1044526) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0000 (1044482) live ratio 1.0000 (1044490) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 0.9998 (1040206) live ratio 1.0002 (1040556) diff -0.0003; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0000 (1046517) live ratio 1.0000 (1046476) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1046505) live ratio 1.0000 (1046522) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0000 (1044520) live ratio 1.0000 (1044522) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 0.9992 (1045687) live ratio 0.9993 (1045757) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0001 (1040438) live ratio 1.0000 (1040368) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0001 (1044583) live ratio 1.0000 (1044523) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9992 live 0.9993; largest site gap -0.0003 at site 9; verdict under the 0.98 floor: closed accept live accept; 14.1 s
gap DONE 7ceb797d31eedb3e
gap: seed 4346
gap: program id bbb38e847011c354 attempt 2 class mx8-eraa577896a+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 127.999 saturated 0 bias_max 61; live distinct_mean 127.997 saturated 0 bias_max 53
gap: site 0 closed ratio 0.9997 (1044186) live ratio 0.9996 (1044074) diff +0.0001; reads on indices read >= 8 times: closed 0.0349% live 0.0354%
gap: site 1 closed ratio 1.0000 (1046562) live ratio 1.0000 (1046559) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 0.9840 (1029769) live ratio 0.9839 (1029638) diff +0.0001; reads on indices read >= 8 times: closed 0.3636% live 0.3881%
gap: site 3 closed ratio 1.0000 (1044459) live ratio 1.0000 (1044480) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 0.9998 (1044268) live ratio 0.9999 (1044326) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0001 (1044547) live ratio 1.0001 (1044568) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0001 (1040464) live ratio 0.9999 (1040326) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1046571) live ratio 1.0000 (1046482) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 0.9981 (1042510) live ratio 0.9982 (1042562) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 0.9981 (1042465) live ratio 0.9982 (1042603) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 0.9990 (1045529) live ratio 0.9990 (1045478) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1046518) live ratio 1.0000 (1046521) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 0.9997 (1040086) live ratio 1.0000 (1040385) diff -0.0003; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1046523) live ratio 1.0000 (1046479) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1046513) live ratio 0.9999 (1046467) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1046568) live ratio 1.0000 (1046529) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9840 live 0.9839; largest site gap -0.0003 at site 12; verdict under the 0.98 floor: closed accept live accept; 13.5 s
gap DONE bbb38e847011c354
gap: seed 5245
gap: program id beaad44840bb9e4e attempt 5 class mx8-erae7b2abfb+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 59; live distinct_mean 128.000 saturated 0 bias_max 59
gap: site 0 closed ratio 1.0001 (1044601) live ratio 1.0001 (1044603) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046564) live ratio 1.0000 (1046555) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1046519) live ratio 1.0000 (1046485) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0001 (1040482) live ratio 1.0002 (1040593) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1044483) live ratio 1.0000 (1044453) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0001 (1046612) live ratio 1.0000 (1046504) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 0.9999 (1044373) live ratio 1.0001 (1044575) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1040430) live ratio 1.0000 (1040353) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 0.9831 (1022759) live ratio 0.9833 (1023050) diff -0.0003; reads on indices read >= 8 times: closed 0.3495% live 0.3639%
gap: site 9 closed ratio 1.0000 (1040392) live ratio 1.0001 (1040448) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0000 (1046546) live ratio 0.9999 (1046451) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1046545) live ratio 1.0000 (1046528) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0000 (1046507) live ratio 1.0000 (1046540) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0001 (1044572) live ratio 1.0000 (1044465) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1046491) live ratio 1.0000 (1046484) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1040415) live ratio 1.0001 (1040442) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9831 live 0.9833; largest site gap -0.0003 at site 8; verdict under the 0.98 floor: closed accept live accept; 13.6 s
gap DONE beaad44840bb9e4e
gap: seed 106924
gap: program id 8aa3c604dba9d11b attempt 1 class mx8-erac4d89708+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 127.750 saturated 0 bias_max 60; live distinct_mean 127.760 saturated 0 bias_max 56
gap: site 0 closed ratio 1.0000 (1044464) live ratio 1.0001 (1044564) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0001 (1040449) live ratio 1.0000 (1040348) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0001 (1046623) live ratio 1.0001 (1046599) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1040393) live ratio 1.0000 (1040350) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1044446) live ratio 1.0000 (1044498) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1046555) live ratio 1.0000 (1046494) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0001 (1044546) live ratio 1.0000 (1044476) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1046531) live ratio 1.0000 (1046549) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0002 (1040552) live ratio 1.0000 (1040413) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 1.0000 (1046497) live ratio 1.0000 (1046546) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 0.9821 (1027800) live ratio 0.9823 (1027954) diff -0.0001; reads on indices read >= 8 times: closed 0.0937% live 0.0897%
gap: site 11 closed ratio 1.0000 (1046558) live ratio 1.0000 (1046490) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 0.9999 (1044396) live ratio 1.0001 (1044563) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1046497) live ratio 1.0000 (1046478) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1046572) live ratio 1.0000 (1046502) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 0.9999 (1040314) live ratio 1.0000 (1040422) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9821 live 0.9823; largest site gap -0.0002 at site 12; verdict under the 0.98 floor: closed accept live accept; 13.9 s
gap DONE 8aa3c604dba9d11b
gap: seed 107022
gap: program id 0fd1d15a8bd627d4 attempt 1 class mx8-era12c72f2b+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 69; live distinct_mean 128.000 saturated 0 bias_max 49
gap: site 0 closed ratio 1.0000 (1046532) live ratio 1.0001 (1046633) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046574) live ratio 1.0000 (1046533) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0001 (1040444) live ratio 1.0000 (1040408) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1040361) live ratio 1.0002 (1040591) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1046574) live ratio 1.0000 (1046537) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0001 (1046603) live ratio 1.0000 (1046566) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0000 (1046537) live ratio 1.0001 (1046588) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0001 (1046596) live ratio 1.0000 (1046514) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0000 (1046570) live ratio 1.0000 (1046481) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 0.9999 (1040260) live ratio 1.0000 (1040374) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 0.9877 (1031592) live ratio 0.9876 (1031543) diff +0.0000; reads on indices read >= 8 times: closed 0.2035% live 0.2214%
gap: site 11 closed ratio 0.9940 (1038229) live ratio 0.9940 (1038256) diff -0.0000; reads on indices read >= 8 times: closed 0.0511% live 0.0534%
gap: site 12 closed ratio 0.9999 (1040269) live ratio 1.0001 (1040474) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1044507) live ratio 1.0001 (1044617) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1046491) live ratio 1.0000 (1046524) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0001 (1044566) live ratio 1.0000 (1044450) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9877 live 0.9876; largest site gap -0.0002 at site 3; verdict under the 0.98 floor: closed accept live accept; 13.4 s
gap DONE 0fd1d15a8bd627d4
Terminated
lease: released 8 pool cores after 138 s, exit 0

27
docs/analysis/cryptanalysis/logs/adv-accept/gap-five-d20733.log Normal file
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@ -0,0 +1,27 @@
lease: 0 of 4 pool cores free (88 leased); waiting
lease: holding 8 pool cores (42,43,44,45,46,47,48,49, waited 11 s, class adv): adv-accept gap-five-d20733
gap: hex program devnet3-epoch0-v4: epoch 4020cb4382e3fe4b281c817c02582e147d8f851f566ae9172b28912b8e68b925 era 4020cb4382e3fe4b281c817c02582e147d8f851f566ae9172b28912b8e68b925
gap: program id fce15bf61030be57 attempt 0 class mx8-eraaf3a9139+sh256x27 day 20733 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 58; live distinct_mean 128.000 saturated 0 bias_max 73
gap: site 0 closed ratio 0.9992 (1045725) live ratio 0.9993 (1045766) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 0.9999 (1040295) live ratio 1.0001 (1040513) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1044477) live ratio 1.0000 (1044480) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1046530) live ratio 1.0000 (1046549) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 0.9999 (1044399) live ratio 1.0001 (1044573) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0001 (1044584) live ratio 1.0000 (1044473) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0001 (1044568) live ratio 1.0000 (1044520) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1046573) live ratio 1.0000 (1046494) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0000 (1040408) live ratio 1.0000 (1040415) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 1.0000 (1044441) live ratio 1.0000 (1044429) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0001 (1044553) live ratio 1.0000 (1044438) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1046573) live ratio 1.0000 (1046532) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0000 (1040352) live ratio 1.0002 (1040544) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1046504) live ratio 0.9999 (1046439) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1044488) live ratio 0.9999 (1044407) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1044503) live ratio 1.0000 (1044429) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9992 live 0.9993; largest site gap -0.0002 at site 1; verdict under the 0.98 floor: closed accept live accept; 14.0 s
gap DONE fce15bf61030be57
Terminated
lease: released 8 pool cores after 29 s, exit 0

50
docs/analysis/cryptanalysis/logs/adv-accept/gap-hot2.log Normal file
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@ -0,0 +1,50 @@
lease: 0 of 4 pool cores free (88 leased); waiting
lease: holding 8 pool cores (42,43,44,45,46,47,48,49, waited 1035 s, class adv): adv-accept gap-hot2
gap: seed 4346
gap: program id bbb38e847011c354 attempt 2 class mx8-eraa577896a+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 127.999 saturated 0 bias_max 61; live distinct_mean 127.997 saturated 0 bias_max 53
gap: site 0 closed ratio 0.9997 (1044186) live ratio 0.9996 (1044074) diff +0.0001; reads on indices read >= 8 times: closed 0.0349% live 0.0354%
gap: site 1 closed ratio 1.0000 (1046562) live ratio 1.0000 (1046559) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 0.9840 (1029769) live ratio 0.9839 (1029638) diff +0.0001; reads on indices read >= 8 times: closed 0.3636% live 0.3881%
gap: site 3 closed ratio 1.0000 (1044459) live ratio 1.0000 (1044480) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 0.9998 (1044268) live ratio 0.9999 (1044326) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0001 (1044547) live ratio 1.0001 (1044568) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0001 (1040464) live ratio 0.9999 (1040326) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1046571) live ratio 1.0000 (1046482) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 0.9981 (1042510) live ratio 0.9982 (1042562) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 0.9981 (1042465) live ratio 0.9982 (1042603) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 0.9990 (1045529) live ratio 0.9990 (1045478) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1046518) live ratio 1.0000 (1046521) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 0.9997 (1040086) live ratio 1.0000 (1040385) diff -0.0003; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1046523) live ratio 1.0000 (1046479) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1046513) live ratio 0.9999 (1046467) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1046568) live ratio 1.0000 (1046529) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9840 live 0.9839; largest site gap -0.0003 at site 12; verdict under the 0.98 floor: closed accept live accept; 13.8 s
gap DONE bbb38e847011c354
gap: seed 5245
gap: program id beaad44840bb9e4e attempt 5 class mx8-erae7b2abfb+sh256x27 day 20730 (cache filled in 0.6 s) plant zero-dataset false
gap: mirror validated against hash_warp on 8 units (closed form and live)
gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units
gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 59; live distinct_mean 128.000 saturated 0 bias_max 59
gap: site 0 closed ratio 1.0001 (1044601) live ratio 1.0001 (1044603) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046564) live ratio 1.0000 (1046555) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1046519) live ratio 1.0000 (1046485) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0001 (1040482) live ratio 1.0002 (1040593) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1044483) live ratio 1.0000 (1044453) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0001 (1046612) live ratio 1.0000 (1046504) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 0.9999 (1044373) live ratio 1.0001 (1044575) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1040430) live ratio 1.0000 (1040353) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 0.9831 (1022759) live ratio 0.9833 (1023050) diff -0.0003; reads on indices read >= 8 times: closed 0.3495% live 0.3639%
gap: site 9 closed ratio 1.0000 (1040392) live ratio 1.0001 (1040448) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0000 (1046546) live ratio 0.9999 (1046451) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1046545) live ratio 1.0000 (1046528) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0000 (1046507) live ratio 1.0000 (1046540) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0001 (1044572) live ratio 1.0000 (1044465) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1046491) live ratio 1.0000 (1046484) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1040415) live ratio 1.0001 (1040442) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9831 live 0.9833; largest site gap -0.0003 at site 8; verdict under the 0.98 floor: closed accept live accept; 14.9 s
gap DONE beaad44840bb9e4e
Terminated
lease: released 8 pool cores after 1071 s, exit 0

28
docs/analysis/cryptanalysis/report-acceptance-rule.md
View file

@ -266,6 +266,34 @@ site 6's reads on heavily repeated WORD indices and a ratio of 0.9919: the two r
(16 words each, 2^24 of them) are told from words (2^28), and the rule's sample does see it; its floor at
0.98 is set below it.
### The class v5 floor at 0.995 against the measured concentrations (main's five-program job, box 2, 21:35 BST)
`adv-accept gap --day 20733 --hex <devnet3>:<devnet3>:devnet3-epoch0-v4` and `adv-accept gap --day 20730
--seeds 4346,5245,106924,107022 --hex <era-fixed-20> --hex <era-drawn-2>`, each through `lease pool 8
--min 4` (logs logs/adv-accept/gap-five-d20733.log, gap-five-d20730.log, gap-hot2.log). The minimum per-site
distinct-index ratio at the acceptance's own 2^20 sample, against the class v5 floor (c''') of 0.995:
| Program | id, attempt | min site | ratio closed / live | against 0.995 | live concentration measured |
|---|---|---|---|---|---|
| seed 4346 (this lane) | bbb38e847011c354, 2 | 2 (instr 19) | 0.9840 / 0.9839 | refused | hot set, X_0.1% +0.178%, 2.24x |
| seed 5245 | beaad44840bb9e4e, 5 | 8 (instr 37) | 0.9831 / 0.9833 | refused | hot set, +0.129%, 1.86x |
| seed 106924 | 8aa3c604dba9d11b, 1 | 10 (instr 45) | 0.9821 / 0.9823 | refused | hot set, +0.221%, 2.21x (the second shape) |
| seed 107022 | 0fd1d15a8bd627d4, 1 | 10 (instr 44) | 0.9877 / 0.9876 | refused | hot set, +0.138%, 1.82x (the second shape) |
| seed 100767 (earlier read) | 9d68e6286fc817d4, 2 | 6 (instr 23) | 0.9919 / 0.9920 | refused | hot set, +0.155%, 2.05x |
| Devnet 3 epoch 0, class v4 | fce15bf61030be57, 0 (day 20733) | 0 (instr 3, src r6) | 0.9992 / 0.9993 | AT OR ABOVE: a residual the floor misses | adv-cache-2: site 0 bit law P(bit 0..2 = 1) = 0.250 / 0.375 / 0.4375, chi2/dof 3.70 at 2^26 |
| adv-cache-2 era-fixed-20 | 11f9f955b21d56c9, 1 | 11 (instr 46) | 0.9997 / 0.9997 | AT OR ABOVE: a residual | adv-cache-2: top 0.1% 1.26x its window control, one item read 512 times |
| adv-cache-2 era-drawn-2 | 7ceb797d31eedb3e, 0 | 13 (instr 55) | 0.9992 / 0.9993 | AT OR ABOVE: a residual | adv-cache-2: chi2/dof 2.04, top 0.1% 1.27x |
Reading. The floor at 0.995 refuses every program whose live hot set passes the f8 test X_f >= f (seven of
this lane's, minimum sites 0.9821 to 0.9919), and does not reach the three milder concentrations (top 0.1
percent share 1.26x to 1.27x, chi2/dof 2 to 3.7) whose minimum site reads 0.9992 to 0.9997, inside the clean
population's spread at 2^20 (clean median 0.9999, clean first percentile about 0.9993 over 29,032 programs).
Devnet 3's own first program is one of those three. What those residuals are worth to a chip: a 1.26x share
of the top 0.1 percent of items is 0.19 percent of reads on 1 MB against 0.15 expected, a gain of 1.0004x;
they are distinguishers at the chi-square level, not hot sets, and no floor on the distinct-index ratio that
keeps the clean rejection rate near 2.4 percent reaches them. The 1738 hot set's ratio (gap-hot3 on build-1)
lands when its lease gets cores.
### Q2, the stand-in gap: first bound (box 2, 19:46 BST, `adv-accept gap`)
Tool: a mirror interpreter with per-site index capture, run on the rule's own base nonces (seed-keyed