# Merge 06: remove-s4-ask-risk-premium versus N

Candidate: **remove-s4-ask-risk-premium**, removing the spread-4 1.4× ask-loss risk premium in ask sizing. Comparator: **frozen N**. Identity and mechanism are reported by inputs [A], [B], [C]; strategy code is not included in these inputs, so its hashes cannot be independently recomputed here.

Candidate SHA-256: `324acde86027cc793cdb88482560d00c720494e60ceee8720b76ed03ebfb141e`

Comparator SHA-256: `bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae`

All measurements below come from [A]–[C]; pooled values are arithmetic derived from their reported sufficient statistics. Seeds **430500–431999 are screening seeds, not finalist seeds**. No finalist evidence or promotion is established by this merge. No simulations were run.

| key / source | seeds (inclusive) | n | complete | failures count | mean_diff | se | retail_diff | arb_diff | python_version | flag |
|---|---|---:|---|---:|---:|---:|---:|---:|---|---|
| s4-norisk-a [A] | 430500–430999 | 500 | true | 0 | -0.112856149001 | 0.095039763876 | 0.403538378436 | -0.516394527438 | 3.12.3 | none |
| s4-norisk-b [B] | 431000–431499 | 500 | true | 0 | -0.339588454373 | 0.184150239523 | 0.218743194618 | -0.558331648995 | 3.10.12 | none |
| s4-norisk-c [C] | 431500–431999 | 500 | true | 0 | -0.054882730841 | 0.047332715918 | 0.365535409712 | -0.420418140547 | 3.12.3 | none |

Paired differences are candidate minus comparator. All three blocks report complete results without failures or missing seeds, and matching candidate/comparator hashes. Input file SHA-256 values were verified against the supplied digests. Seed coverage, uniqueness, spread counts, moment/mean/SE identities, component differences, and rounded per-seed moment consistency were checked arithmetically.

Check values [A], [B]: `[17.1160017503, 20.0171113118, 2.3903113616, 241.4847522404]`; [C]: `[17.116002, 20.017111, 2.390311, 241.484752]`. These agree to six decimal places; C reports less precision, which is not flagged as a discrepancy. No independent expected check vector is present in the supplied inputs, so correctness against an external reference cannot be certified. Python versions differ as shown; checks agree at the available common precision.

Pooling uses only reported moments: `n = Σnᵢ`, `S = Σsum_dᵢ`, `Q = Σsum_d2ᵢ`, `mean = S/n`, `se = sqrt((Q − S*S/n)/(n−1)/n)`. Retail and arbitrage differences use n-weighted means within each scope. Rounded per-seed rows are copied unchanged and are not used to pool.

| scope | n | sum_d | sum_d2 | mean_diff | se | retail_diff | arb_diff |
|---|---:|---:|---:|---:|---:|---:|---:|
| overall | 1500 | -253.663667107000 | 11339.005702290760 | -0.169109111405 | 0.070879066422 | 0.329272327589 | -0.498381438993 |
| spread 1 | 360 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 |
| spread 2 | 382 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 |
| spread 3 | 384 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 | 0.000000000000 |
| spread 4 | 374 | -253.663667107000 | 11339.005702290760 | -0.678245099217 | 0.282928863303 | 1.320610939527 | -1.998856038743 |

The pooled screening difference is -0.169109 with SE 0.070879. The retail gain (0.329272) is outweighed by the arbitrage difference (-0.498381); spreads 1–3 report zero change in every block. This evidence does not support promoting the candidate. [A–C; pooled arithmetic above]

Source records (supplied local artifacts; their statistics and rows are preserved below):

- [A] `.imd/reads/artifacts/item-s4-norisk-a`; logical artifact `artifacts/goal/batches/r4-extend/items/s4-norisk-a/result.json`; SHA-256 `6448cdc2fa7ffd717f5adb9798dc43c09d94c313fa4a00e941b811bd094e20af`.
- [B] `.imd/reads/artifacts/item-s4-norisk-b`; logical artifact `artifacts/goal/batches/r4-extend/items/s4-norisk-b/result.json`; SHA-256 `03d703d201a294c0950f950bb36347fc7f74903322dc3a0f431be06cf5ae98fb`.
- [C] `.imd/reads/artifacts/item-s4-norisk-c`; logical artifact `artifacts/goal/batches/r4-extend/items/s4-norisk-c/result.json`; SHA-256 `32451a2789e547468cf073ee51f4577c38eab5265a62b53579c8d54ff130e62e`.

Machine-readable merge follows. Each block’s `overall` and `by_spread` objects are preserved exactly as parsed from its input; `per_seed` rows have shape `[seed, spread, paired_edge_difference]` and retain the supplied six-decimal precision.

```json
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```