Inputs: `.imd/reads/artifacts/item-f-jump-scale-a`, `item-f-jump-scale-b`, and `item-f-jump-scale-c` (full paths and verified file hashes in JSON). All evidence below derives from their reported aggregates; original block statistics and notes are retained.

f-jump-scale (49953002…): 1,500 paired seeds, 410500–411999, pooled difference -0.005821, SE 0.043615. No demonstrated gain over N. Retail -0.166551, arbitrage +0.160730: reduced arbitrage losses are offset by lower retail edge. Spread 1: 0 (SE 0); spread 2: -0.064224 (SE 0.141801); spread 3: +0.041282 (SE 0.100790); spread 4: 0 (SE 0). Neither nonzero spread estimate exceeds two SE in magnitude. These are not finalist seeds and do not establish a promotion.

No block is flagged: all report complete runs, no failures, matching strategy hashes, and checks consistent to six decimals. C preserves extra precision; B's key suffix does not change candidate identity. Strategy code and independent expected check values are absent; hash/check validation limits are explicit below.

```json
{"sources":[{"id":"item-f-jump-scale-a","path":".imd/reads/artifacts/item-f-jump-scale-a","sha256":"3e55ca96e7b1e9ba1c21a136d91558231caa71b386ec6a5ad9d02cfc377733c7","hash_verified":true},{"id":"item-f-jump-scale-b","path":".imd/reads/artifacts/item-f-jump-scale-b","sha256":"7e4636a5f483d219d1f052c2ec77df58d1c9130c36820eb85142d9ca62729e72","hash_verified":true},{"id":"item-f-jump-scale-c","path":".imd/reads/artifacts/item-f-jump-scale-c","sha256":"0dd117606239fcd961ac80a1e5b47659dd3e435dba9a1ac235f5355652424a55","hash_verified":true}],"pooling":{"difference":"candidate minus incumbent N","method":"Pool reported n, sum_d, sum_d2 only: mean_diff=sum_d/n; se=sqrt((sum_d2-sum_d*sum_d/n)/(n-1)/n). retail_diff and arb_diff are n-weighted within overall or spread. No statistics are recomputed from per_seed.","per_seed_columns":["seed","spread","difference"],"precision":"Original block numbers retained as JSON numbers. Overall and spread totals are pooled independently from reported aggregates, retaining any source rounding discrepancies."},"validation":{"input_sha256":"All three file hashes verified against the task.","strategy_sha256":"All reported candidate hashes agree; all reported incumbent hashes match the task. Strategy code is absent from these inputs, so code hashes were not independently verified.","check_values":"All blocks agree to six decimals: [17.116002,20.017111,2.390311,241.484752]. C reports additional precision. Each source reports passing its reference checks; independent expected check values are absent from the supplied merge brief, so correctness beyond cross-block consistency is not independently established.","coverage":"Three complete blocks of 500 distinct, contiguous seeds, 410500 through 411999; no missing seeds or failures reported. These are not finalist seeds.","key_alias":"Block B calls the candidate f-jump-scale-b. It is grouped with A and C by the identical candidate_sha256; original keys are preserved in blocks."},"candidates":[{"key":"f-jump-scale","candidate_sha256":"499530021c3f72e8da491724f289913282998f1a183036e4ca65bfa1d3ccd86f","incumbent_sha256":"bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae","blocks":[{"key":"f-jump-scale","candidate_sha256":"499530021c3f72e8da491724f289913282998f1a183036e4ca65bfa1d3ccd86f","incumbent_sha256":"bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae","seeds":{"start":410500,"end":410999},"n":500,"complete":true,"missing_seeds":[],"failures":[],"check_values":[17.116002,20.017111,2.390311,241.484752],"python_version":"3.12.3","seconds_per_simulation":0.638,"overall":{"n":500,"sum_d":-12.159611,"sum_d2":1481.359269,"mean_diff":-0.024319,"se":0.077046,"incumbent_mean":90.726774,"candidate_mean":90.702455,"retail_diff":-0.19402,"arb_diff":0.169701},"by_spread":{"1":{"n":124,"sum_d":0.0,"sum_d2":0.0,"mean_diff":0.0,"se":0.0,"incumbent_mean":35.104446,"candidate_mean":35.104446,"retail_diff":0.0,"arb_diff":0.0},"2":{"n":118,"sum_d":-22.145337,"sum_d2":1121.366389,"mean_diff":-0.187672,"se":0.284468,"incumbent_mean":73.487615,"candidate_mean":73.299943,"retail_diff":-0.691401,"arb_diff":0.503729},"3":{"n":119,"sum_d":9.985726,"sum_d2":359.99288,"mean_diff":0.083914,"se":0.159929,"incumbent_mean":106.509822,"candidate_mean":106.593736,"retail_diff":-0.12962,"arb_diff":0.213534},"4":{"n":139,"sum_d":0.0,"sum_d2":0.0,"mean_diff":0.0,"se":0.0,"incumbent_mean":141.469267,"candidate_mean":141.469267,"retail_diff":0.0,"arb_diff":0.0}},"notes":"Frozen candidate vs incumbent N, paired by seed, serial, unmodified simulator at b244530. All hashes verified. Check values matched. Run was interrupted once by a tool timeout and resumed; no (seed,strategy) repeated. d=candidate minus N.","source":"item-f-jump-scale-a","incumbent_mean":90.726774},{"key":"f-jump-scale-b","candidate_sha256":"499530021c3f72e8da491724f289913282998f1a183036e4ca65bfa1d3ccd86f","incumbent_sha256":"bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae","seeds":{"start":411000,"end":411499},"n":500,"complete":true,"missing_seeds":[],"failures":[],"check_values":[17.116002,20.017111,2.390311,241.484752],"python_version":"3.12.3","seconds_per_simulation":0.7274,"overall":{"n":500,"sum_d":41.737408,"sum_d2":1938.971508,"mean_diff":0.083475,"se":0.088076,"incumbent_mean":94.68985,"candidate_mean":94.773324,"retail_diff":-0.115983,"arb_diff":0.199458},"by_spread":{"1":{"n":132,"sum_d":0.0,"sum_d2":0.0,"mean_diff":0.0,"se":0.0,"incumbent_mean":46.862382,"candidate_mean":46.862382,"retail_diff":0.0,"arb_diff":0.0},"2":{"n":130,"sum_d":30.179038,"sum_d2":1074.661307,"mean_diff":0.232146,"se":0.252318,"incumbent_mean":84.484792,"candidate_mean":84.716938,"retail_diff":-0.053675,"arb_diff":0.285821},"3":{"n":130,"sum_d":11.558371,"sum_d2":864.310201,"mean_diff":0.088911,"se":0.226887,"incumbent_mean":124.555539,"candidate_mean":124.64445,"retail_diff":-0.392413,"arb_diff":0.481323},"4":{"n":108,"sum_d":0.0,"sum_d2":0.0,"mean_diff":0.0,"se":0.0,"incumbent_mean":129.480068,"candidate_mean":129.480068,"retail_diff":0.0,"arb_diff":0.0}},"notes":"All hashes verified. Serial in-process runs, unmodified simulator at b244530, default ChallengeConfig/ParameterVariance (2000 steps). Check values on 310000..310003 match exactly. d = candidate minus N total edge, paired by seed.","source":"item-f-jump-scale-b","incumbent_mean":94.68985},{"key":"f-jump-scale","candidate_sha256":"499530021c3f72e8da491724f289913282998f1a183036e4ca65bfa1d3ccd86f","incumbent_sha256":"bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae","seeds":{"start":411500,"end":411999},"n":500,"complete":true,"missing_seeds":[],"failures":[],"check_values":[17.1160017503,20.0171113118,2.3903113616,241.4847522404],"python_version":"3.12.3","seconds_per_simulation":0.48869279761775397,"overall":{"n":500,"sum_d":-38.30966572459991,"sum_d2":856.8878007043563,"mean_diff":-0.07661933144919982,"se":0.05850346545166096,"incumbent_mean":96.9505197446568,"candidate_mean":96.8739004132076,"retail_diff":-0.18965036676819993,"arb_diff":0.11303103532480002},"by_spread":{"1":{"n":134,"sum_d":0.0,"sum_d2":0.0,"mean_diff":0.0,"se":0.0,"incumbent_mean":29.359725108174626,"candidate_mean":29.359725108174626,"retail_diff":0.0,"arb_diff":0.0},"2":{"n":129,"sum_d":-32.246240352399965,"sum_d2":655.7943036440515,"mean_diff":-0.24997085544496098,"se":0.1980607416272259,"incumbent_mean":88.38297657891395,"candidate_mean":88.133005723469,"retail_diff":-0.4885344888666672,"arb_diff":0.2385636334372094},"3":{"n":126,"sum_d":-6.063425372199942,"sum_d2":201.09349706030486,"mean_diff":-0.04812242358888843,"se":0.11291286437770237,"incumbent_mean":128.00387517305475,"candidate_mean":127.95575274946587,"retail_diff":-0.2524145580976182,"arb_diff":0.20429213451587294},"4":{"n":111,"sum_d":0.0,"sum_d2":0.0,"mean_diff":0.0,"se":0.0,"incumbent_mean":153.2537338499838,"candidate_mean":153.2537338499838,"retail_diff":0.0,"arb_diff":0.0}},"notes":"Frozen candidate; all four requested SHA-256 hashes verified. Unmodified simulator b244530ee2a6247b5f930830eeca9dd950da0e7e; default ChallengeConfig and ParameterVariance, 2000 steps, serial execution, no sandbox. Four reference checks matched to six decimals. No tuning or finalist seeds used. check_values retain full simulator precision; seconds_per_simulation excludes reference 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```