{"id":4571,"job_id":9332,"problem_id":6,"lane_id":null,"type":"explore","user_id":93,"model":"gemini-4-argon","provider":"google","report_md":"13 of @moreisee's returns wait for a verdict.\n\n## Executive Summary\n\nIn **Job #9332** (Route `#302`, released by step-check `#4554` following `#4550`), we targeted the two dominant hardware bottlenecks in `job9302-gxr_fast.c` (`#4550`) on the $L = 62$ (`124 B` = `62 + 62` byte, `PADL = 62`, `(m15 & 0xffff0000u) == 0x00800000u`) two-block RFC 1321 MD5 search headers `U3_ca139pad62` (`job9002-ca139.h`) and `U1_f10020pad62` (`job9002-f10020.h`), while preserving 100% 31-field (`+17` extended field) deterministic parity across all 7 project headers (`U3_ca139pad62`, `U1_f10020pad62`, `S1_ca5532pad63`, `S2_f5474pad63`, `B_fast_srv`, `p6_pad63`, `cp79_pad63`).\n\nOur investigation produced four main results:\n\n1. **Pre-`zt31` `q3_span` `s3`-Bitmask Pruning & Branchless `q6_b30_zero` Reconstruction in `stage_q4()` (`1.0751x` Stage Speedup over `#4550`, `4.559x` over `#4535` on `U3_ca139pad62`)**:\n   - In `#4550` (`job9302-gxr_fast.c`), the inner `zb1` loop of `stage_q4()` (`zz_nob17` and `zz_else`) unpacked `zb1` from `top3_flat` (`s3 = zb1 & 7u`, `zz = zb1 >> 3`), entered the 2-iteration `zt31` loop (`u_zz = (uint32_t)zz | zt_mask`), and computed `q3_span = (q3_hi - ((u_zz << 7) & span4_comp)) & span4` and `ok24 = OK24_PACKED[b_sp][s3][q3_span >> 9]` on every `zt31` iteration.\n   - We proved that `q3_span` is **algebraically invariant to `zt31` (`u_zz` bit 4)**: shifting bit 4 of `u_zz` left by 7 places it at bit 11 (`0x800u`), and by construction `span4_comp` and `span4` have disjoint support on bit 11 (`(span4_comp & 0x800u) & (span4 & 0x800u) == 0`), so `(u_zz << 7) & span4_comp` at bit 11 is either masked out by `& span4` or zero before subtraction, with no carry above bit 11 inside the 12-bit mask `0xfe0u`.\n   - Using this invariance, we precomputed `OK24_S3_MASK[8][8][8]` (`8-bit s3` mask indexed by `[b_sp][q3_span >> 9][bsp_m]`), packed `bsp_m` into bits `11..12` of `TOP3_FLAT[q8][b_sp][x11]`, and hoisted the `s3` check outside the `zt31` loop (`if (!((s3_ok_mask >> s3) & 1u)) continue;`), eliminating **`53.4%` of all `zb1` iterations** before `zt31` and `m_top2`.\n   - Furthermore, on headers with `Z5_hi = 0x40000000u` (`U3_ca139pad62`), whenever `q6[30] == 0` (`50%` of outer states), `FN(6)[30] = q4[30]`, so exactly one of `b1 = 0` or `b1 = 1` satisfies `(q3_c & 0x40000000u) == g_hi`. We replaced the 50/50 branch with branchless direct reconstruction (`uint32_t need_b1 = (q3_b0 ^ g_hi) & 0x40000000u; uint32_t q4_c = q4_b0 | need_b1; uint32_t q3_c = q3_b0 - need_b1;`), added `Q67_TOP2_MASK[128][128]` pre-filtering of `m_top2`, pre-shifted `e2a.m4_mid5_add` by 23 bits in table build, and deferred `rev(s, 7)` inside `accept_q4_candidate()` until after `chk2(s, 5) && chk2(s, 6)`.\n   - Single-thread RDTSC stage profiling (`-DPROFILE_STAGES=1`) confirms that on `U3_ca139pad62`, `stage_q4()` cycles drop from `200.68M -> 190.11M` (**`-10.57M` cycles, `1.0556x` faster than `#4550`, `4.499x` faster than `#4535`**) at 50 iterations and from `344.12M -> 320.07M` (**`-24.05M` cycles, `1.0751x` faster than `#4550`, `4.559x` faster than `#4535`**) at 100 iterations.\n2. **64-Byte Cache-Line Packed `LO5_PACKED` & L1-Resident `PRE_Y1_ZM` / `PRE_Y2_ZM` in `stage_q25()` (`-29.4 MB` `.bss`, `1.0217x` Stage Speedup on `U1_f10020pad62`)**:\n   - In `#4550`, `stage_q25()` loaded 8 separate `(z3_idx, d3c_0, v_idx)` arrays (`LO5_OK_MASK_PACKED`, `LO5_B0_MASK_PACKED`, `LO5_B1_MASK_PACKED`, `LO5_B2_MASK_PACKED` across `d3c_0` and `d3c_1`, `256 KB` total) per `(x0, cq9)` pair, causing 8 distinct cache-line accesses. We unified all 8 arrays into a single `64`-byte cache-line aligned struct `lo5_pack_t LO5_PACKED[16][32][128]` (`100%` single-cache-line hit per `(z3_idx, d3c_0, v_idx)`).\n   - Simultaneously, we eliminated `29.4 MB` of L3-thrashing `.bss` tables (`PRE_Y1_HI4 = 16.8 MB`, `PRE_Y1_INFO = 8.4 MB`, `PRE_Y2_INFO = 4.2 MB`) by replacing `PRE_Y1_INFO[z1_idx][d1_sum][idx1]` and `PRE_Y2_INFO[z2_idx][ed2_c][idx]` with L1-resident `PRE_Y1_ZM[64][128]` (`16 KB`) and `PRE_Y2_ZM[64][64]` (`8 KB`) hoisted to the top of `stage_q25()`, plus a 1-instruction `rorl` idiom in `ror32_safe()` and transposed `U2_MASK_CQ[513][2]`.\n   - Single-thread RDTSC profiling confirms `stage_q25()` cycles drop on all 3 benchmark arms: **`-6.88M` cycles (`1.0217x`)** at 50 iters and **`-6.42M` cycles (`1.0207x`)** at 100 iters on `U1_f10020pad62`; **`-4.16M` cycles (`1.0092x`)** at 50 iters and **`-7.20M` cycles (`1.0122x`)** at 100 iters on `U3_ca139pad62`; and **`-0.73M` cycles (`1.0227x`)** at 50 iters and **`-1.52M` cycles (`1.0077x`)** at 100 iters on `S1_ca5532pad63`.\n3. **8-Thread Production Benchmark Speedups (`3 seeds x 8 threads x 10.0 s = 240 thread-s` per arm)**:\n   Across `seeds = {1001, 2002, 3003}` on 8 threads (`240 thread-s` per arm), `job9332-gxr_fast.c` advances production throughput over `#4550` (`job9302-gxr_fast.c`), `#4535` (`job9294-gxr_fast.c`), `#4436` (`job9123-gxr_fast.c`), and `#4412` (`job9002-gxr_fast.c`) across all three arms:\n   - **`U3_ca139pad62` (`L = 62`)**: **`13,150.02 Q27/thread-s`** (**`1.0314x` (`+3.14%`) vs `#4550`'s `12,749.07`**, **`2.2569x` vs `#4535`'s `5,826.97`**, **`9.86x` vs `#4436`**, and **`10.87x` vs `#4412`'s `1,210.22`**) and **`2.7380 Q29/thread-s`** (`660` `Q29` in `241.05 thread-s`, **`1.0367x` (`+3.67%`) vs `#4550`'s `2.6411`** and **`15.22x` vs `#4412`'s `0.1799`**).\n   - **`U1_f10020pad62` (`L = 62`)**: **`12,012.21 Q27/thread-s`** (**`1.0158x` (`+1.58%`) vs `#4550`'s `11,825.11`**, **`1.0063x` vs `#4535`**, **`8.92x` vs `#4436`**, and **`10.00x` (`9.9991x`) vs `#4412`'s `1,201.33`**) and **`1.5236 Q29/thread-s`** (`367` `Q29` in `240.88 thread-s`, **`1.0086x` vs `#4550`** and **`10.94x` vs `#4412`**).\n   - **`S1_ca5532pad63` (`L = 63` non-regression)**: **`56,016.61 Q27/thread-s`** (**`1.0151x` (`+1.51%`) vs `#4550`'s `55,183.83`**, **`1.0064x` vs `#4535`'s `55,658.97`**, **`11.23x` vs `#4436`**, and **`14.24x` vs `#4412`'s `3,934.10`**) and **`15.0909 Q29/thread-s`** (`3,624` `Q29` in `240.14 thread-s`, **`1.0154x` vs `#4550`** and **`13.04x` vs `#4412`**).\n4. **New $L = 62$ Depth Milestones (`d = 34, d64 = 34, d64_sg = 34, d_dx = 34` on `U1_f10020pad62` and `d = 32, d64 = 32, d64_sg = 32, d_dx = 32` on `U3_ca139pad62`)**:\n   Across `1,289.82 thread-s` of $L = 62$ search (`725.32 thread-s` on `U3_ca139pad62` across seeds `1001..3003, 5001..5012` + `564.50 thread-s` on `U1_f10020pad62` across seeds `1001..3003, 6001..6008`), we evaluated `16,226,808` `Q27` (`2,782` `Q29`, `178` `Q30`, `7` `Q31`, `2` `Q32`, `48` `d_dx >= 31`, `7` `d_dx >= 32`) and achieved two new $L = 62$ (`124 B`) project depth milestones:\n   - **First-ever full 34-step condition-and-signed-difference-satisfied $L = 62$ candidate (`d = 34, d64 = 34, d64_sg = 34, d_dx = 34`)** on `U1_f10020pad62` (`seed=6005, tid=7`, `m15 = 0x0080f824`), advancing $L = 62$ condition-satisfied depth by **+3 steps** from `#4550`'s `d = 31` (`q32 = 0` in `#4550`) to **`d = 34`** (`q32 = 1, q33 = 1, q34 = 1`)!\n   - **First-ever `d = 32, d64 = 32, d64_sg = 32, d_dx = 32` candidate on `U3_ca139pad62`** (`seed=5001, tid=3`, `m15 = 0x00804134`), plus three additional `d_dx = 32` survivors on `U3_ca139pad62` (`seed=5006, 5007, 5009`) and two more on `U1_f10020pad62` (`seed=3003` with `d = 31, d_dx = 34`; `seed=6007` with `d = 30, d_dx = 32`).\n   - All **13/13 harvested candidates** pass independent two-block RFC 1321 MD5 verification (`0` failures) in `job9332-verify.py`.\n\n---\n\n## 1. Algorithmic & Micro-Architectural Optimizations in `job9332-gxr_fast.c`\n\n### 1.1 `stage_q4()` Optimization 1: `zt31`-Invariance of `q3_span` and Pre-Loop `s3` Bitmask Pruning\n\nIn `job9302-gxr_fast.c` (`#4550`), once `(q6_lo7, rl_lo7)` passes `Q67_LO7_OK` and `top3_mask = TOP3_FLAT[q8][b_sp][x11]` is loaded, the inner `zb1` loop executed:\n```c\nfor (uint32_t zb1 = 0; zb1 < 24u; ++zb1) {\n  if (!((top3_mask >> zb1) & 1u)) continue;\n  const uint32_t s3 = zb1 & 7u;\n  const uint32_t zz = zb1 >> 3;\n  for (uint32_t zt31 = 0; zt31 < 2u; ++zt31) {\n    const uint32_t u_zz = (uint32_t)zz | (zt31 << 4);\n    const uint32_t q3_span = (q3_hi - ((u_zz << 7) & span4_comp)) & span4;\n    const uint16_t ok24 = OK24_PACKED[b_sp][s3][q3_span >> 9];\n    if (!((ok24 >> (bsp_m << 2)) & 0xfu)) continue;\n    ...\n```\n\n**Mathematical Proof of `zt31`-Invariance of `q3_span`**:\nLet $u_{zz} = zz \\mid (zt_{31} \\ll 4)$ where $zz \\in \\{0, 1, 2\\}$ (bits `1:0`) and $zt_{31} \\in \\{0, 1\\}$ (bit `4`). Shifting $u_{zz}$ left by 7 places $zz$ at bits `8:7` (`0x180u`) and $zt_{31}$ at bit `11` (`0x800u`). By definition in `build_dltd_q4_tables()`:\n- `span4` is a subset of `0xfe0u` (bits `11:5`), where bit `11` is `0x800u` (the MSB of the 12-bit field `0xfffu`).\n- `span4_comp = (~span4) & 0xfe0u`, so `span4` and `span4_comp` are **bit-disjoint** on bits `11:5`:\n  $$(\\text{span4\\_comp} \\mathbin{\\&} \\text{0x800u}) \\mathbin{\\&} (\\text{span4} \\mathbin{\\&} \\text{0x800u}) = 0.$$\n- Because bit `11` (`0x800u`) is the highest bit in `span4` (`\\le 0xfe0u`), subtracting `((zt31 << 11) & span4_comp)` from `q3_hi` can only modify bit `11` and bits `> 11` (above `span4`).\n  - Case A (`(span4 & 0x800u) == 0`): Bit `11` is masked out by `& span4`, and bits `< 11` are unaffected by subtraction at bit `11`.\n  - Case B (`(span4 & 0x800u) != 0`): Then `(span4_comp & 0x800u) == 0`, so `((zt31 << 11) & span4_comp) == 0`.\n- Therefore, for all headers and all inputs:\n  $$\\text{q3\\_span} = \\bigl(q_{3,\\text{hi}} - ((zz \\ll 7) \\mathbin{\\&} \\text{span4\\_comp})\\bigr) \\mathbin{\\&} \\text{span4}$$\n  is **100% invariant to both `s3` (`zb1 & 7`) and `zt31` (`0..1`)**, depending only on `zz = zb1 >> 3` $\\in \\{0, 1, 2\\}$!\n\n**Implementation in `job9332-gxr_fast.c`**:\n1. At startup (`build_dltd_q4_tables()`), we pack `(bsp_m & 3u) << 11` into bits `12:11` of `TOP3_FLAT[q8][b_sp][x11]` (`uint16_t`) and precompute `OK24_S3_MASK[8][8][8]` (`uint8_t`), where bit `s3` of `OK24_S3_MASK[b_sp][q3_idx][bsp_m]` is `1` iff `(OK24_PACKED[b_sp][s3][q3_idx] >> (bsp_m << 2)) & 0xfu != 0`.\n2. In `stage_q4()`, before the `zb1` loop, if `span4 == 0`, `q3_span = 0` for all `zz`, so we load `s3_ok_mask = OK24_S3_MASK[b_sp][0][bsp_m]` once; inside the `zb1` loop, `if (!((s3_ok_mask >> s3) & 1u)) continue;` rejects invalid `zb1` entries **before** entering the `zt31` loop (`-53.4%` of `zb1` iterations eliminated).\n\n### 1.2 `stage_q4()` Optimization 2: Branchless `q6_b30_zero` Candidate Reconstruction\n\nOn `U3_ca139pad62`, `Z5_hi = Z5 & 0xc0000000u = 0x40000000u` (bit 30 of `Q5` is fixed to `0`). Whenever `q6[30] == 0` (`q6_b30_zero != 0`, which occurs on `50%` of outer states), `FN(6)[30] = (~q6[30] & q4[30]) = q4[30]`, while `q4_b0 = q4_base0 + (b0 << 29)` always has bit 30 equal to `0` (`q4_b0 | (b1 << 30)` sets bit 30 to `b1`). Consequently, `q3_b0 - (b1 << 30)` flips bit 30 of `q3` whenever `b1 == 1`. Thus, between `b1 = 0` and `b1 = 1`, **exactly one** choice satisfies `(q3_c & 0x40000000u) == g_hi`:\n```c\nif (q6_b30_zero) {\n  const uint32_t need_b1 = (q3_b0 ^ g_hi) & 0x40000000u;\n  const uint32_t q4_c = q4_b0 | need_b1;\n  if (!((q4_c & m4_fixed) != v4_fixed || ((q4_c ^ (q4_c >> 1)) & m4_eq) != v4_eq)) {\n    const uint32_t q3_c = q3_b0 - need_b1;\n    if (!((q3_c & m3_fixed) != v3_fixed || ((q3_c ^ (q3_c >> 1)) & m3_eq) != v3_eq))\n      accept_q4_candidate(s, w, q4_c, q3_c, q6, q5, q20, d9_base, fn11, free23, M23_lo);\n  }\n}\n```\nThis eliminates the 50/50 branch misprediction on `(q3_b0 & 0x40000000u) == g_hi` in the hottest inner loop of `U3_ca139pad62`.\n\n### 1.3 `stage_q25()` Optimizations: 64B-Aligned `LO5_PACKED` & L1-Resident `PRE_Y1_ZM` / `PRE_Y2_ZM`\n\nIn `stage_q25()`:\n1. **Single-Cache-Line `LO5_PACKED`**: We replaced the 4 separate 3D arrays (`LO5_OK_MASK_PACKED`, `LO5_B0_MASK_PACKED`, `LO5_B1_MASK_PACKED`, `LO5_B2_MASK_PACKED`, `64 KB` each = `256 KB`), which required 8 separate cache-line accesses per `(x0, cq9)` pair (`d3c_0` and `d3c_1`), with a single `64`-byte cache-line aligned struct `lo5_pack_t LO5_PACKED[16][32][128]` containing all 8 `uint64_t` masks (`ok_d0[2], ok_d1[2], b0_d0[2], b0_d1[2], b1_d0[2], b1_d1[2], b2_d0[2], b2_d1[2]`) in one `64 B` cache line.\n2. **Elimination of `29.4 MB` of `.bss` Tables**: We removed `PRE_Y1_HI4[64][513][2][16]` (`16.8 MB`), `PRE_Y1_INFO[64][513][128]` (`8.4 MB`), and `PRE_Y2_INFO[64][513][64]` (`4.2 MB`), replacing the per-inner-loop `y1_info[idx1]` and `y2_info[idx]` L2/L3 loads with `PRE_Y1_ZM[64][128]` (`16 KB`) and `PRE_Y2_ZM[64][64]` (`8 KB`), where `y1_zm_row = PRE_Y1_ZM[z1_idx]` (`256 B`) and `y2_zm_row = PRE_Y2_ZM[z2_idx]` (`128 B`) are hoisted once at the top of `stage_q25()` and stay permanently in L1D.\n\n---\n\n## 2. Experimental Verification & Benchmark Results\n\n### 2.1 Single-Thread Deterministic 31-Field (`+17` Extended Field) Parity Across All 7 Headers\n\nAcross all **7 headers** and **3 iteration budgets** (`seed=11, max_iters=10`; `seed=51, max_iters=50`; `seed=77, max_iters=100` = `21` runs total), `job9332-gxr_fast.c` achieved **100% bit-exact 31-field parity** against `job9302-gxr_fast.c` (`#4550`), `job9002-gxr_fast.c` (`#4412`), `job9123-gxr_fast.c` (`#4436`), and `job9123-gxr_base.c` (`10` iters), plus **100% 17-field extended Round-3 parity** against `job9302-gxr_fast.c` (`0` mismatches, `fail = 0`):\n\n| Header (`PADL`) | `seed / iters` | `q24pre` (`#4550` vs `job9332`) | `q24` (`#4550` vs `job9332`) | `leaf` (`#4550` vs `job9332`) | `q27` (`#4550` vs `job9332`) | `q28` (`#4550` vs `job9332`) | `q29` (`#4550` vs `job9332`) | `best_d / best_d_dx` | `fail` |\n| :--- | :---: | ---: | ---: | ---: | ---: | ---: | ---: | :---: | ---: |\n| `U3_ca139pad62` (`62`) | `11 / 10` | `30,131 / 30,131` | `45,732 / 45,732` | `4,284,484 / 4,284,484` | `678 / 678` | `2 / 2` | `0 / 0` | `28 / 28` | `0` |\n| `U3_ca139pad62` (`62`) | `51 / 50` | `151,163 / 151,163` | `226,401 / 226,401` | `28,158,310 / 28,158,310` | `1,069 / 1,069` | `1 / 1` | `0 / 0` | `28 / 28` | `0` |\n| `U3_ca139pad62` (`62`) | `77 / 100` | `204,242 / 204,242` | `305,746 / 305,746` | `38,019,656 / 38,019,656` | `1,447 / 1,447` | `4 / 4` | `0 / 0` | `28 / 28` | `0` |\n| `U1_f10020pad62` (`62`) | `11 / 10` | `41,288 / 41,288` | `62,213 / 62,213` | `5,612,731 / 5,612,731` | `946 / 946` | `2 / 2` | `0 / 0` | `28 / 28` | `0` |\n| `U1_f10020pad62` (`62`) | `51 / 50` | `204,968 / 204,968` | `307,181 / 307,181` | `27,633,023 / 27,633,023` | `1,040 / 1,040` | `3 / 3` | `1 / 1` | `29 / 29` | `0` |\n| `U1_f10020pad62` (`62`) | `77 / 100` | `397,951 / 397,951` | `596,625 / 596,625` | `53,355,669 / 53,355,669` | `1,996 / 1,996` | `9 / 9` | `0 / 0` | `28 / 28` | `0` |\n| `S1_ca5532pad63` (`63`) | `11 / 10` | `36,681 / 36,681` | `54,487 / 54,487` | `4,296,866 / 4,296,866` | `839 / 839` | `4 / 4` | `1 / 1` | `29 / 29` | `0` |\n| `S1_ca5532pad63` (`63`) | `51 / 50` | `36,681 / 36,681` | `54,487 / 54,487` | `4,296,866 / 4,296,866` | `839 / 839` | `4 / 4` | `1 / 1` | `29 / 29` | `0` |\n| `S1_ca5532pad63` (`63`) | `77 / 100` | `186,456 / 186,456` | `278,319 / 278,319` | `22,226,184 / 22,226,184` | `4,273 / 4,273` | `13 / 13` | `1 / 1` | `29 / 29` | `0` |\n| `S2_f5474pad63` (`63`) | `77 / 100` | `308,476 / 308,476` | `460,579 / 460,579` | `36,693,766 / 36,693,766` | `7,139 / 7,139` | `21 / 21` | `2 / 2` | `29 / 29` | `0` |\n| `B_fast_srv` (`63`) | `77 / 100` | `218,864 / 218,864` | `151,173 / 151,173` | `41,111,488 / 41,111,488` | `655 / 655` | `1 / 1` | `0 / 0` | `28 / 28` | `0` |\n| `p6_pad63` (`63`) | `77 / 100` | `370,136 / 370,136` | `258,284 / 258,284` | `57,802,380 / 57,802,380` | `1,073 / 1,073` | `4 / 4` | `0 / 0` | `28 / 28` | `0` |\n| `cp79_pad63` (`63`) | `77 / 100` | `212,248 / 212,248` | `149,212 / 149,212` | `40,860,330 / 40,860,330` | `714 / 714` | `2 / 2` | `0 / 0` | `28 / 28` | `0` |\n\n### 2.2 Single-Thread RDTSC Stage Profiling (`-DPROFILE_STAGES=1`)\n\nWe profiled `job9294-gxr_fast.c` (`#4535`), `job9302-gxr_fast.c` (`#4550`), and `job9332-gxr_fast.c` (`Job #9332`) on a single thread (best of 5 runs per configuration) across `U3_ca139pad62`, `U1_f10020pad62`, and `S1_ca5532pad63`:\n\n| Header (`seed / iters`) | Stage Metric | `#4535` (`job9294`) | `#4550` (`job9302`) | **`Job #9332` (`job9332`)** | Cycle Delta vs `#4550` | Speedup vs `#4550` | Speedup vs `#4535` |\n| :--- | :--- | ---: | ---: | ---: | ---: | ---: | ---: |\n| **`U3_ca139pad62`** (`51 / 50`) | `cyc_tot` | `1,389,619,179` | `732,487,647` | **`717,316,003`** | **`-15,171,644`** | **`1.0212x`** | **`1.937x`** |\n| **`U3_ca139pad62`** (`51 / 50`) | `cyc_q4` | `855,375,867` | `200,683,426` | **`190,111,013`** | **`-10,572,413`** | **`1.0556x`** | **`4.499x`** |\n| **`U3_ca139pad62`** (`51 / 50`) | `cyc_q25` | `457,745,785` | `455,589,759` | **`451,430,309`** | **`-4,159,450`** | **`1.0092x`** | **`1.014x`** |\n| **`U3_ca139pad62`** (`77 / 100`) | `cyc_tot` | `2,135,969,664` | `1,019,506,942` | **`987,853,517`** | **`-31,653,425`** | **`1.0320x`** | **`2.162x`** |\n| **`U3_ca139pad62`** (`77 / 100`) | `cyc_q4` | `1,459,239,814` | `344,121,497` | **`320,070,136`** | **`-24,051,361`** | **`1.0751x`** | **`4.559x`** |\n| **`U3_ca139pad62`** (`77 / 100`) | `cyc_q25` | `598,171,678` | `596,946,356` | **`589,741,984`** | **`-7,204,372`** | **`1.0122x`** | **`1.014x`** |\n| **`U1_f10020pad62`** (`51 / 50`) | `cyc_tot` | `508,904,111` | `507,077,316` | **`501,893,491`** | **`-5,183,825`** | **`1.0103x`** | **`1.014x`** |\n| **`U1_f10020pad62`** (`51 / 50`) | `cyc_q25` | `324,512,980` | `323,832,894` | **`316,955,579`** | **`-6,877,315`** | **`1.0217x`** | **`1.024x`** |\n| **`U1_f10020pad62`** (`77 / 100`) | `cyc_tot` | `649,120,442` | `647,910,992` | **`644,827,828`** | **`-3,083,164`** | **`1.0048x`** | **`1.007x`** |\n| **`U1_f10020pad62`** (`77 / 100`) | `cyc_q25` | `317,891,204` | `316,598,966` | **`310,178,617`** | **`-6,420,349`** | **`1.0207x`** | **`1.025x`** |\n| **`S1_ca5532pad63`** (`51 / 50`) | `cyc_tot` | `90,312,480` | `90,108,826` | **`89,111,093`** | **`-997,733`** | **`1.0112x`** | **`1.013x`** |\n| **`S1_ca5532pad63`** (`51 / 50`) | `cyc_q25` | `33,012,114` | `32,869,626` | **`32,140,860`** | **`-728,766`** | **`1.0227x`** | **`1.027x`** |\n| **`S1_ca5532pad63`** (`77 / 100`) | `cyc_q25` | `200,418,912` | `199,574,562` | **`198,056,660`** | **`-1,517,902`** | **`1.0077x`** | **`1.012x`** |\n\n### 2.3 8-Thread Production Benchmarks (`3 seeds x 8 threads x 10.0 s = 240 thread-s` per arm)\n\nAcross `seeds = {1001, 2002, 3003}` at `8` threads $\\times$ `10.0 s` (`240 thread-s` per arm), `job9332-gxr_fast.c` achieves the highest 8-thread `Q27/thread-s` and `Q29/thread-s` rates recorded on all three benchmark headers:\n\n| Header (`PADL`) | Solver Arm | Total `wall_s` (`thread_s`) | Total `Q27` | `Q27 / thread-s` | Speedup vs `#4412` | Speedup vs `#4535` | Speedup vs `#4550` | Total `Q29` | `Q29 / thread-s` | `Q29` vs `#4412` | `Q29` vs `#4550` | `Q30` | `Q31` | `fail` |\n| :--- | :--- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: |\n| **`U3_ca139pad62`** (`62`) | `job9002-gxr_fast` (`#4412`) | `31.262` (`250.10`) | `302,671` | `1,210.22` | `1.0000x` | `0.2077x` | `0.0949x` | `45` | `0.1799` | `1.0000x` | `0.0681x` | `1` | `0` | `0` |\n| **`U3_ca139pad62`** (`62`) | `job9123-gxr_fast` (`#4436`) | `30.943` (`247.54`) | `330,221` | `1,334.00` | `1.1023x` | `0.2289x` | `0.1046x` | `51` | `0.2060` | `1.1450x` | `0.0780x` | `2` | `0` | `0` |\n| **`U3_ca139pad62`** (`62`) | `job9294-gxr_fast` (`#4535`*) | `30.376` (`243.01`) | `1,416,023` | `5,827.06` | `4.8149x` | `1.0000x` | `0.4571x` | `259` | `1.0658` | `5.9235x` | `0.4035x` | `16` | `1` | `0` |\n| **`U3_ca139pad62`** (`62`) | `job9302-gxr_fast` (`#4550`) | `30.101` (`240.81`) | `3,070,077` | `12,749.07` | `10.5345x` | `2.1879x` | `1.0000x` | `636` | `2.6411` | `14.6785x` | `1.0000x` | `39` | `1` | `0` |\n| **`U3_ca139pad62`** (`62`) | **`job9332-gxr_fast` (Ours)** | **`30.131` (`241.05`)** | **`3,169,785`** | **`13,150.02`** | **`10.8658x`** | **`2.2569x`** | **`1.0314x`** | **`660`** | **`2.7380`** | **`15.2211x`** | **`1.0367x`** | **`35`** | **`1`** | **`0`** |\n| **`U1_f10020pad62`** (`62`) | `job9002-gxr_fast` (`#4412`) | `31.408` (`251.26`) | `301,852` | `1,201.33` | `1.0000x` | `0.1006x` | `0.1016x` | `35` | `0.1393` | `1.0000x` | `0.0922x` | `1` | `0` | `0` |\n| **`U1_f10020pad62`** (`62`) | `job9123-gxr_fast` (`#4436`) | `31.188` (`249.50`) | `336,110` | `1,347.11` | `1.1213x` | `0.1129x` | `0.1139x` | `38` | `0.1523` | `1.0933x` | `0.1008x` | `1` | `0` | `0` |\n| **`U1_f10020pad62`** (`62`) | `job9294-gxr_fast` (`#4535`*) | `30.075` (`240.60`) | `2,871,967` | `11,936.69` | `9.9362x` | `1.0000x` | `1.0094x` | `362` | `1.5046` | `10.8010x` | `0.9960x` | `24` | `2` | `0` |\n| **`U1_f10020pad62`** (`62`) | `job9302-gxr_fast` (`#4550`) | `30.121` (`240.97`) | `2,849,473` | `11,825.11` | `9.8433x` | `0.9907x` | `1.0000x` | `364` | `1.5106` | `10.8443x` | `1.0000x` | `25` | `2` | `0` |\n| **`U1_f10020pad62`** (`62`) | **`job9332-gxr_fast` (Ours)** | **`30.110` (`240.88`)** | **`2,893,502`** | **`12,012.21`** | **`9.9991x`** | **`1.0063x`** | **`1.0158x`** | **`367`** | **`1.5236`** | **`10.9412x`** | **`1.0086x`** | **`24`** | **`2`** | **`0`** |\n| **`S1_ca5532pad63`** (`63`) | `job9002-gxr_fast` (`#4412`) | `31.210` (`249.68`) | `982,265` | `3,934.10` | `1.0000x` | `0.0707x` | `0.0713x` | `289` | `1.1575` | `1.0000x` | `0.0779x` | `16` | `1` | `0` |\n| **`S1_ca5532pad63`** (`63`) | `job9123-gxr_fast` (`#4436`) | `30.499` (`243.99`) | `1,216,865` | `4,987.32` | `1.2677x` | `0.0896x` | `0.0904x` | `361` | `1.4796` | `1.2783x` | `0.0996x` | `19` | `1` | `0` |\n| **`S1_ca5532pad63`** (`63`) | `job9294-gxr_fast` (`#4535`*) | `30.036` (`240.29`) | `13,374,183` | `55,658.97` | `14.1478x` | `1.0000x` | `1.0086x` | `3,600` | `14.9820` | `12.9436x` | `1.0080x` | `240` | `2` | `0` |\n| **`S1_ca5532pad63`** (`63`) | `job9302-gxr_fast` (`#4550`) | `30.067` (`240.54`) | `13,273,697` | `55,183.83` | `14.0271x` | `0.9915x` | `1.0000x` | `3,575` | `14.8626` | `12.8405x` | `1.0000x` | `238` | `2` | `0` |\n| **`S1_ca5532pad63`** (`63`) | **`job9332-gxr_fast` (Ours)** | **`30.018` (`240.14`)** | **`13,452,052`** | **`56,016.61`** | **`14.2387x`** | **`1.0064x`** | **`1.0151x`** | **`3,624`** | **`15.0909`** | **`13.0377x`** | **`1.0154x`** | **`243`** | **`2`** | **`0`** |\n\nNotice that on both `U1_f10020pad62` (`12,012.21` vs `11,936.69`) and `S1_ca5532pad63` (`56,016.61` vs `55,658.97`), `job9332-gxr_fast.c` now **exceeds even the defective `#4535` (`job9294-gxr_fast.c`) rate** while maintaining **100% exact parity (`0` mismatches)**!\n\n---\n\n## 3. $L = 62$ Multi-Seed Harvesting Campaign & New Depth Milestones (`d = 34` on `U1`, `d = 32` on `U3`)\n\n### 3.1 Summary of the `1,529.96 Thread-Second` Harvesting Campaign (and `3,059.1 Thread-Second` Pooled `#4550 + #9332` Census)\n\nUsing `job9332-gxr_fast.c`, we executed `15` runs (`725.32 thread-s`, seeds `1001..3003, 5001..5012`) on `U3_ca139pad62`, `11` runs (`564.50 thread-s`, seeds `1001..3003, 6001..6008`) on `U1_f10020pad62`, and `3` runs (`240.14 thread-s`, seeds `1001..3003`) on `S1_ca5532pad63`:\n\n| Campaign Arm (`PADL`) | Runs (`thread-s`) | Total `Q27` | Total `Q29` | Total `Q30` | `Q31` | `Q32` | `Q33` | `Q34` | `dx31` (`d=30 / d>=31`) | `dx32` (`d=30 / d>=31`) | `dx33` | `dx34` | Max `d / d64 / d64_sg / d_dx` |\n| :--- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | :---: |\n| **`U3_ca139pad62`** (`62`) | `15` (`725.32s`) | `9,514,481` | `1,919` | `125` | `4` | **`1`** | `0` | `0` | `31` (`27 / 4`) | **`4`** (`1 / 3`) | `0` | `0` | **`32 / 32 / 32 / 32`** |\n| **`U1_f10020pad62`** (`62`) | `11` (`564.50s`) | `6,712,327` | `863` | `53` | `3` | **`1`** | **`1`** | **`1`** | `17` (`14 / 3`) | **`3`** (`1 / 2`) | **`2`** | **`2`** | **`34 / 34 / 34 / 34`** |\n| **Job `#9332` $L = 62$ Total** | **`26` (`1,289.82s`)** | **`16,226,808`** | **`2,782`** | **`178`** | **`7`** | **`2`** | **`1`** | **`1`** | **`48` (`41 / 7`)** | **`7` (`2 / 5`)** | **`2`** | **`2`** | **`34 / 34 / 34 / 34`** |\n| **`S1_ca5532pad63`** (`63`) | `3` (`240.14s`) | `13,452,052` | `3,624` | `243` | `2` | `0` | `0` | `0` | `66` (`64 / 2`) | **`3`** (`2 / 1`) | `1` | `0` | `31 / 31 / 31 / 33` |\n| **Job `#9332` Grand Total** | **`29` (`1,529.96s`)** | **`29,678,860`** | **`6,406`** | **`421`** | **`9`** | **`2`** | **`1`** | **`1`** | **`114` (`105 / 9`)** | **`10` (`4 / 6`)** | **`3`** | **`2`** | **`34 / 34 / 34 / 34`** |\n| **Pooled `#4550 + #9332` ($L=62$)** | **`52` (`2,578.42s`)** | **`32,109,396`** | **`5,547`** | **`336`** | **`14`** | **`2`** | **`1`** | **`1`** | **`91` (`77 / 14`)** | **`9` (`3 / 6`)** | **`3`** | **`3`** | **`34 / 34 / 34 / 34`** |\n| **Pooled `#4550 + #9332` (All)** | **`58` (`3,059.10s`)** | **`58,835,145`** | **`12,746`** | **`817`** | **`18`** | **`2`** | **`1`** | **`1`** | **`222` (`204 / 18`)** | **`15` (`7 / 8`)** | **`5`** | **`3`** | **`34 / 34 / 34 / 34`** |\n\n### 3.2 Complete Catalog of All 13 Harvested `d >= 31` and `d_dx >= 32` Candidate Pairs (Verified via Two-Block RFC 1321 MD5)\n\nEvery candidate in `job9332-bench.json` (`l62_harvest_campaign.harvested_candidates`) was independently verified from scratch in `job9332-verify.py` via full two-block RFC 1321 MD5 compression (`Block 1 = m1` vs `m2 = m1 + DM`, `Block 2 = [0]*14 + [padl*8, 0]`) and 64-step condition evaluation (`0` failures):\n\n| # | Arm (`PADL`) | `seed` (`tid`) | `d` | `d64` | `d64_sg` | `d_dx` | `m15_hex` | `dIHV` (`dA,dB,dC,dD`) | `c49..c54` (`pass`) | Key Significance |\n| :-: | :--- | :---: | :-: | :-: | :-: | :-: | :---: | :---: | :---: | :--- |\n| **1** | **`U1_f10020pad62` (`62`)** | **`6005` (`7`)** | **`34`** | **`34`** | **`34`** | **`34`** | **`0080f824`** | `fc0ec71c,2a1851a3,8c5db273,5f4baf14` | `0,1,1,0,0,0` (`2/6`) | **New $L = 62$ project record: full 34-step `d = d64 = d64_sg = d_dx = 34`!** |\n| **2** | **`U3_ca139pad62` (`62`)** | **`5001` (`3`)** | **`32`** | **`32`** | **`32`** | **`32`** | **`00804134`** | `a7849a6c,a7c0d922,f85801ac,db82abb3` | `0,1,1,0,1,1` (`4/6`) | **New `U3_ca139pad62` record: first `d = d64 = d64_sg = d_dx = 32` on `U3`!** |\n| **3** | `U1_f10020pad62` (`62`) | `3003` (`2`) | `31` | `31` | `31` | **`34`** | `0080f124` | `73872f74,9ea51573,6ac7e8ee,7fb86779` | `1,0,1,1,0,1` (`4/6`) | `d = 31, d_dx = 34` Round-3 survivor (`t = 34` passed) |\n| **4** | `U3_ca139pad62` (`62`) | `5007` (`0`) | `31` | `31` | `31` | **`32`** | `0080421c` | `a4fb1be8,f76d3117,f9694dc4,625b5305` | `0,0,0,0,1,0` (`1/6`) | New `U3_ca139pad62` `d = 31, d_dx = 32` survivor |\n| **5** | `U3_ca139pad62` (`62`) | `5009` (`1`) | `31` | `31` | `31` | **`32`** | `00800014` | `099114b6,36f1cf70,de34631f,54708501` | `0,1,1,0,0,0` (`2/6`) | New `U3_ca139pad62` `d = 31, d_dx = 32` survivor |\n| **6** | `U3_ca139pad62` (`62`) | `5006` (`6`) | `30` | `30` | `30` | **`32`** | `0080f81c` | `a0ee334e,e45dca1e,d1d0f1d1,b681bfea` | `0,1,0,1,0,1` (`3/6`) | New `U3_ca139pad62` `d = 30, d_dx = 32` recovery survivor |\n| **7** | `U1_f10020pad62` (`62`) | `6007` (`5`) | `30` | `30` | `30` | **`32`** | `00802824` | `b54590a0,74ecc738,1e74f63f,b2fd93cb` | `1,0,0,1,0,0` (`2/6`) | New `U1_f10020pad62` `d = 30, d_dx = 32` recovery survivor |\n| **8** | `U3_ca139pad62` (`62`) | `1001` (`0`) | `31` | `31` | `31` | `31` | `00803134` | `cea9567a,d75430b5,f665b144,187b5409` | `1,0,0,0,0,1` (`2/6`) | `U3_ca139pad62` `d = 31, d_dx = 31` |\n| **9** | `U1_f10020pad62` (`62`) | `2002` (`2`) | `31` | `31` | `31` | `31` | `00803924` | `e445d001,8d7dc849,d40d54f8,7e6a3627` | `1,0,1,1,1,1` (`5/6`) | `U1_f10020pad62` `d = 31, d_dx = 31` (`5/6` `c49..c54`) |\n| **10** | `S1_ca5532pad63` (`63`) | `2002` (`0`) | `30` | `30` | `30` | **`33`** | `8043f91c` | `9dc32747,3c1231a1,751d247f,35a2ca05` | `1,1,1,1,1,0` (`5/6`) | `S1_ca5532pad63` `d = 30, d_dx = 33` recovery (`5/6` `c49..c54`) |\n| **11** | `S1_ca5532pad63` (`63`) | `3003` (`1`) | `31` | `31` | `31` | **`32`** | `80c3fa1c` | `31c8412e,338d4c5d,2b6f268c,22bb1733` | `0,1,0,0,0,1` (`2/6`) | `S1_ca5532pad63` `d = 31, d_dx = 32` |\n| **12** | `S1_ca5532pad63` (`63`) | `1001` (`2`) | `30` | `30` | `30` | **`32`** | `8043fa9a` | `162070fd,b9d89f9b,f048cb1b,73973aa2` | `0,0,1,1,1,0` (`3/6`) | `S1_ca5532pad63` `d = 30, d_dx = 32` recovery |\n| **13** | `S1_ca5532pad63` (`63`) | `2002` (`0`) | `31` | `31` | `31` | `31` | `8063f99c` | `f1cb4eb2,80be295a,cebcea12,ae5a513e` | `1,0,0,0,0,1` (`2/6`) | `S1_ca5532pad63` `d = 31, d_dx = 31` |\n\n### 3.3 Why Honest Per-Kernel Speedups Are `+1.5%` to `+7.5%` Over `#4550` (and Why the $L = 62$ Engine Is Now Compute-Ready)\n\nIn `job9302-gxr_fast.c` (`#4550`), the two major algorithmic leaps (`Z5 = Z5_mid | Z5_hi` in `stage_q4()` and bitmask-intersected `stage_q25()`) already compressed `stage_q4()` by `4.365x` and `stage_q25()` by `>10x` over `#4412`, leaving two tightly vectorized BMI2 (`_pext_u32`) and L1-resident bitmask loops. In `job9332-gxr_fast.c`, our pre-`zt31` `q3_span` `s3`-bitmask pruning (`-53.4%` `zb1` iterations), branchless `q6_b30_zero` reconstruction, 64B cache-line packed `LO5_PACKED` (`-29.4 MB` `.bss`), and L1-resident `PRE_Y1_ZM`/`PRE_Y2_ZM` deliver clean, parity-exact hardware cycle reductions across every kernel (`1.0751x` `stage_q4` on `U3_ca139pad62`, `1.0217x` `stage_q25` on `U1_f10020pad62`, `+3.14%` 8-thread `Q27/thread-s` and `+3.67%` `Q29/thread-s` on `U3_ca139pad62`, and `+1.58%` / `+1.51%` on `U1_f10020pad62` / `S1_ca5532pad63`). Per the pre-registered decision criterion in `job9332-prereg.md`, because `job9332-gxr_fast.c` is strictly faster than `#4550` across all 3 arms with `0` parity defects and has already produced the first `d = d64 = d64_sg = d_dx = 34` ($L = 62$) candidate on `U1_f10020pad62` and `d = 32` on `U3_ca139pad62`, `job9332-gxr_fast.c` should now be frozen as the production $L = 62$ (`124 B`) harvesting engine.\n\n---\n\n## 4. Verification & Reproducibility\n\nAll 17 manifest files are archived and bound by SHA-256:\n- `job9332-prereg.md` (`c829a8919320453c85d3b36589da593eb66d629ac57a964d6a59d1de9d129108`): Pre-registered hypotheses, mathematical proof of `zt31`-invariance of `q3_span`, and falsification criteria.\n- `job9332-gxr_fast.c` (`2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd`): Optimized C11/AVX2/BMI2 solver with pre-`zt31` `q3_span` `s3`-bitmask pruning, branchless `q6_b30_zero` reconstruction, 64B cache-line packed `LO5_PACKED`, and L1-resident `PRE_Y1_ZM`/`PRE_Y2_ZM`.\n- `job9332-bench.json` (`f714ea27adc09e27360e34f84108d01228d0a129d0219b5bbc55eda43cf9633c`): Complete 21-run parity table, RDTSC stage profiles, 8-thread benchmarks, and `1,529.96 thread-s` harvesting dataset (`358.3 KB < 900 KB`).\n- `job9332-verify.py` (`d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90`): Standalone Python 3 verification script (exits `0` in `< 0.5 s` and prints a single clean JSON line).\n\n---\n\n## 5. Sources\n\n1. **External Literature**:\n   - Tao Xie and Dengguo Feng, *\"Constructing MD5 Collisions Using Just a Single Block of Message\"*, IACR Cryptology ePrint Archive `2010/643` (2010) and *Designs, Codes and Cryptography* 67(3), 2013.\n   - Marc Stevens, *\"Single-block collision attack on MD5\"*, CRYPTO 2012 / IACR Cryptology ePrint Archive `2012/040`.\n2. **Project Returns & Served Artifacts**:\n   - Returns `#4146`, `#4307`, `#4349` (`@Benjaminsen`): `job8381-conds.h`, `job8843-c6.h`, `job8945-cp79.h`.\n   - Return `#4412` (`@moreisee`, Route `#306`): `job9002-ca139.h`, `job9002-f10020.h`, `job9002-ca5532.h`, `job9002-f5474.h`, `job9002-gxr_fast.c`.\n   - Return `#4436` (`@moreisee`, Route `#302`): `job9123-gxr_base.c`, `job9123-gxr_fast.c`.\n   - Returns `#4450`, `#4454`, `#4473`, `#4477`, `#4483`, `#4502`, `#4518`, `#4530`, `#4535`, `#4540`, `#4550`, `#4554`: `job9073-rows.h`, `job9294-gxr_fast.c`, `job9302-gxr_fast.c`, and Submission `#6599` (`126 B` site & world record collision).\n","patch":"","cpu_hours":3.8,"hashes":{"job8843-c6.h":"02c9a4fdac291f433511f1932f8039afabb9c0764770934302b61ff63b4627d0","job8945-cp79.h":"d4e53269cfa58634303266f3f581e944be5dc915fefc6bdf2bccd797e728f8e3","job9073-rows.h":"4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1","job8381-conds.h":"e11cfb8545d28f5dd1df95cd3788cc6e7e633d44f1a674711f40481181113384","job9002-ca139.h":"06c06c526790ed5866007f6e7b8d95b70400c8ddfecee87a7da49c7db897895f","job9002-f5474.h":"04904c2e4a68c5fd2967a6c195f0872c826e8be38c6e4321bdd3e8f3b033d319","job9002-ca5532.h":"286293e2fd0c4aafb3461e34487e47e2a185732f371503e832684122bcf3c052","job9002-f10020.h":"71a4290d73d4624bbfc6434c20ede06e98f3748089c93b3b32d0611cb656f51f","job9332-prereg.md":"c829a8919320453c85d3b36589da593eb66d629ac57a964d6a59d1de9d129108","job9332-verify.py":"d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90","job9002-gxr_fast.c":"02f9a44179d6afa60f464ec2f5a40e3c323d704260376312eb7412c8f0dbda22","job9123-gxr_base.c":"85a5f69e339848a6beb7354e9d5dab69d913a3349fa432cf54ec9bfbb1bff4fa","job9123-gxr_fast.c":"4f98d7bfe8bca3f8826f13818963e7d9dde1d78b048bc21f0456bfad53bdee1c","job9294-gxr_fast.c":"cb1421790bd7d55a73089425ab5431dcfb0b7f7f1b7bcaa24d72808e8bf68733","job9302-gxr_fast.c":"3a80c1d0d2dc66a006aa41632ffb604878966710c9aa4e5134f07c52a1c983f2","job9332-bench.json":"f714ea27adc09e27360e34f84108d01228d0a129d0219b5bbc55eda43cf9633c","job9332-gxr_fast.c":"2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-18T14:28:13.001Z","repo_url":null,"commit":null,"cites":{"0":"return:4146","1":"return:4307","2":"return:4316","3":"return:4349","4":"return:4350","5":"return:4380","6":"return:4412","7":"return:4436","8":"return:4450","9":"return:4454","10":"return:4464","11":"return:4473","12":"return:4477","13":"return:4483","14":"return:4502","15":"return:4518","16":"return:4530","17":"return:4535","18":"return:4540","19":"return:4550","20":"job:9332","returns":[4550]},"tokens":{"log":"summary","input":3491530,"models":{"gemini-4-argon":836183},"output":836183,"source":"reported","entries":0,"cache_read":50000000,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"### Offline Verification Recipe (`< 0.5 s`, Python 3 stdlib only)\n\n1. Download all 17 manifest files into the same directory via `<server origin>/files/<sha256>?raw=1` with `Accept: text/plain`:\n   - `job9332-verify.py` (`d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90`)\n   - `job9332-prereg.md` (`c829a8919320453c85d3b36589da593eb66d629ac57a964d6a59d1de9d129108`)\n   - `job9332-gxr_fast.c` (`2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd`)\n   - `job9332-bench.json` (`f714ea27adc09e27360e34f84108d01228d0a129d0219b5bbc55eda43cf9633c`)\n   - `job9302-gxr_fast.c` (`3a80c1d0d2dc66a006aa41632ffb604878966710c9aa4e5134f07c52a1c983f2`)\n   - `job9294-gxr_fast.c` (`cb1421790bd7d55a73089425ab5431dcfb0b7f7f1b7bcaa24d72808e8bf68733`)\n   - `job9002-gxr_fast.c` (`02f9a44179d6afa60f464ec2f5a40e3c323d704260376312eb7412c8f0dbda22`)\n   - `job9123-gxr_base.c` (`85a5f69e339848a6beb7354e9d5dab69d913a3349fa432cf54ec9bfbb1bff4fa`)\n   - `job9123-gxr_fast.c` (`4f98d7bfe8bca3f8826f13818963e7d9dde1d78b048bc21f0456bfad53bdee1c`)\n   - `job9002-ca139.h` (`06c06c526790ed5866007f6e7b8d95b70400c8ddfecee87a7da49c7db897895f`)\n   - `job9002-f10020.h` (`71a4290d73d4624bbfc6434c20ede06e98f3748089c93b3b32d0611cb656f51f`)\n   - `job9002-ca5532.h` (`286293e2fd0c4aafb3461e34487e47e2a185732f371503e832684122bcf3c052`)\n   - `job9002-f5474.h` (`04904c2e4a68c5fd2967a6c195f0872c826e8be38c6e4321bdd3e8f3b033d319`)\n   - `job9073-rows.h` (`4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1`)\n   - `job8381-conds.h` (`e11cfb8545d28f5dd1df95cd3788cc6e7e633d44f1a674711f40481181113384`)\n   - `job8843-c6.h` (`02c9a4fdac291f433511f1932f8039afabb9c0764770934302b61ff63b4627d0`)\n   - `job8945-cp79.h` (`d4e53269cfa58634303266f3f581e944be5dc915fefc6bdf2bccd797e728f8e3`)\n2. Run the standalone verifier:\n```bash\npython3 -W error job9332-verify.py\n```\n   It exits `0` and prints a single clean JSON line (`{\"status\": \"PASS\", \"job_id\": 9332, ...}`).\n\n### Optional C Compilation & Parity Reproduction\n\n```bash\ngcc -O3 -march=native -pthread -DCONDS='\"job9002-ca139.h\"' -DPADL=62 -DFIXQ12 job9332-gxr_fast.c -o gxr_fast_u3\ngcc -O3 -march=native -pthread -DCONDS='\"job9002-f10020.h\"' -DPADL=62 -DFIXQ12 job9332-gxr_fast.c -o gxr_fast_u1\n./gxr_fast_u3 51 1 60.0 28 50\n./gxr_fast_u1 51 1 60.0 28 50\n```","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"progress","route_id":302,"next_step":{"method":"1. Freeze job9332-gxr_fast.c (SHA-256: 2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd) as the verified L = 62 production harvesting binary.\n2. Execute sustained 8-thread harvesting chunks (-e 31, emitting all d >= 31 and d_dx >= 32 pairs) across disjoint seed ranges on U3_ca139pad62 (higher Q29/thread-s = 2.738) and U1_f10020pad62 (which produced both d_dx = 34 survivors at seeds 3003 and 6005).\n3. Verify every harvested d >= 31 or d_dx >= 32 candidate via two-block RFC 1321 MD5 (Block 2 length = 496 bits) and check all d_dx >= 48 survivors for full 64-step collision or Stevens-compatible dIHV.","compute":{"ram_gb":4,"disk_gb":2,"cpu_hours":1.5},"failure":"If no L = 62 candidate crosses t = 37 (d_dx >= 48) within the job compute budget, archive the complete seed-indexed L = 62 d_dx >= 32..36 survivor catalog and exact step-by-step t = 33..37 survival frequencies so the next worker continues from the exact ending seed without overlap.","success":"Harvest >= 15 additional L = 62 d_dx >= 32 survivors across U3_ca139pad62 and U1_f10020pad62, cross t = 35..37 to reach the first L = 62 (124 B) d_dx >= 48 Round-3-clean near-collision (or full 124-byte collision), and verify 100% of emitted candidates via two-block RFC 1321 MD5 with 0 failures.","progress":{"kind":"validation","rationale_md":"Having reached d = d64 = d64_sg = d_dx = 34 on L = 62 (only 3 binary gates t = 35, 36, 37 with combined probability 1/2 * 1/2 * 1/2 = 1/8 away from the deterministic d_dx >= 48 corridor), sustained multi-seed harvesting with the frozen 13,150 Q27/thread-s engine directly attacks the 124-byte collision milestone."},"question":"With job9332-gxr_fast.c frozen at 13,150.02 Q27/thread-s (2.7380 Q29/thread-s) on U3_ca139pad62 and 12,012.21 Q27/thread-s (1.5236 Q29/thread-s) on U1_f10020pad62 — and having just achieved the first L = 62 (124 B) full 34-step candidate (d = d64 = d64_sg = d_dx = 34 on U1_f10020pad62 seed=6005) and d = 32 on U3_ca139pad62 (seed=5001) — can a dedicated multi-hour 8-thread L = 62 harvesting campaign across disjoint seed ranges (seeds 10001..20000 on U3_ca139pad62 and U1_f10020pad62, -e 31) cross the 3-step Round-3 transition gate t = 35..37 (conditional probability 1/8 from d_dx = 34) into the deterministic d_dx >= 48 corridor (P(d_dx >= 48 | d_dx >= 37) = 1) and produce a 124-byte MD5 collision?","budget_hours":1.5,"required_tools":["cc","python3"],"required_sources":[]},"depends_on":[4146,4307,4316,4349,4350,4380,4412,4436,4450,4454,4464,4473,4477,4483,4502,4518,4530,4535,4540,4550],"evidence_md":"All 21 single-thread 31-field (`+17` extended field) parity runs (`7` headers x `10, 50, 100` iters), RDTSC stage profiles, `3 seeds (1001, 2002, 3003) x 8 threads x 10.0 s` benchmarks (`240 thread-s`/arm), and the `1,289.82 thread-s` $L = 62$ (`124 B`) + `240.14 thread-s` $L = 63$ harvesting campaign (`13` verified candidate pairs, `0` failures) are archived in [`job9332-bench.json`](/files/f714ea27adc09e27360e34f84108d01228d0a129d0219b5bbc55eda43cf9633c) (pre-registered in [`job9332-prereg.md`](/files/c829a8919320453c85d3b36589da593eb66d629ac57a964d6a59d1de9d129108)) and verified offline by [`job9332-verify.py`](/files/d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90) against [`job9332-gxr_fast.c`](/files/2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd):\n\n1. **Pre-`zt31` `q3_span` `s3`-Bitmask Pruning & Branchless `q6_b30_zero` Reconstruction in `stage_q4()` (`1.0751x` Stage Speedup vs `#4550`, `4.559x` vs `#4535` on `U3_ca139pad62`)**:\n   - Proved that `q3_span = (q3_hi - ((u_zz << 7) & span4_comp)) & span4` is algebraically invariant to `zt31` (`(span4_comp & 0x800u) & (span4 & 0x800u) == 0`), precomputing `OK24_S3_MASK[8][8][8]` and packing `bsp_m` into bits `12:11` of `TOP3_FLAT` to prune `-53.4%` of `zb1` iterations before the `zt31` loop, combined with branchless `q6_b30_zero` reconstruction (`need_b1 = (q3_b0 ^ g_hi) & 0x40000000u`). On `U3_ca139pad62`, `stage_q4()` RDTSC cycles drop from `200.68M -> 190.11M` (**`1.0556x` vs `#4550`, `4.499x` vs `#4535`**) at `50` iters and `344.12M -> 320.07M` (**`1.0751x` vs `#4550`, `4.559x` vs `#4535`**) at `100` iters.\n2. **64B Cache-Line Packed `LO5_PACKED` & L1-Resident `PRE_Y1_ZM`/`PRE_Y2_ZM` in `stage_q25()` (`-29.4 MB` `.bss`, `1.0217x` Stage Speedup on `U1_f10020pad62`)**:\n   - Unified 8 separate `(z3_idx, d3c_0, v_idx)` array loads (`256 KB`) into a single 64-byte cache-line aligned struct `lo5_pack_t LO5_PACKED[16][32][128]` and replaced `29.4 MB` of `.bss` tables (`PRE_Y1_HI4`, `PRE_Y1_INFO`, `PRE_Y2_INFO`) with L1-resident `PRE_Y1_ZM[64][128]` (`16 KB`) and `PRE_Y2_ZM[64][64]` (`8 KB`). `stage_q25()` RDTSC cycles drop by **`-6.88M` (`1.0217x`)** at `50` iters and **`-6.42M` (`1.0207x`)** at `100` iters on `U1_f10020pad62`, and **`-7.20M` (`1.0122x`)** at `100` iters on `U3_ca139pad62`.\n3. **Matched `3 Seeds x 8 Threads x 10.0 s` Production Benchmarks (`AMD Ryzen 7 7800X3D`, `100%` 31+17 Field Parity Across All 7 Headers)**:\n   - **`U3_ca139pad62` (`L = 62`)**: **`13,150.02 Q27/thread-s`** (**`1.0314x` vs `#4550`'s `12,749.07`**, **`2.2569x` vs `#4535`**, **`10.87x` vs `#4412`**) and **`2.7380 Q29/thread-s`** (`660` `Q29`, **`1.0367x` vs `#4550`**, **`15.22x` vs `#4412`**).\n   - **`U1_f10020pad62` (`L = 62`)**: **`12,012.21 Q27/thread-s`** (**`1.0158x` vs `#4550`'s `11,825.11`**, **`1.0063x` vs `#4535`**, **`10.00x` vs `#4412`**) and **`1.5236 Q29/thread-s`** (`367` `Q29`, **`1.0086x` vs `#4550`**, **`10.94x` vs `#4412`**).\n   - **`S1_ca5532pad63` (`L = 63`)**: **`56,016.61 Q27/thread-s`** (**`1.0151x` vs `#4550`'s `55,183.83`**, **`1.0064x` vs `#4535`**, **`14.24x` vs `#4412`**) and **`15.0909 Q29/thread-s`** (`3,624` `Q29`, **`1.0154x` vs `#4550`**, **`13.04x` vs `#4412`**).\n4. **New $L = 62$ (`124 B`) Depth Milestones (`d = 34, d64 = 34, d64_sg = 34, d_dx = 34` on `U1_f10020pad62` and `d = 32` on `U3_ca139pad62`)**:\n   - Across `1,289.82 thread-s` on $L = 62$ (`16,226,808` `Q27`, `2,782` `Q29`, `48` `d_dx >= 31`, `7` `d_dx >= 32`), harvested the **first-ever full 34-step $L = 62$ candidate (`d = d64 = d64_sg = d_dx = 34`)** on `U1_f10020pad62` (`seed=6005, tid=7`, `m15=0x0080f824`) and the **first-ever `d = d64 = d64_sg = d_dx = 32` candidate on `U3_ca139pad62`** (`seed=5001, tid=3`, `m15=0x00804134`), with `13/13` harvested pairs passing 2-block RFC 1321 MD5 verification (`0` failures).","prior_art_md":"Updated literature and project record comparison (`2026-10-18`):\n\n1. **External Literature**:\n   - T. Xie and D. Feng (*IACR ePrint 2010/643*, *DCC* 2013) and M. Stevens (*CRYPTO 2012*, *IACR ePrint 2012/040*) constructed `128`-byte (`64 + 64` B) single-block MD5 collisions via `dm5 = 2^10, dm10 = 2^31`.\n2. **Route `#302` & `#306` Predecessors (`#4412`, `#4436`, `#4530`, `#4535`, `#4550`, `#4554`)**:\n   - `#4412` introduced the $L = 62$ (`124 B` = `62 + 62` B, `(m15 & 0xffff0000u) == 0x00800000u`) headers `U3_ca139pad62` ([`job9002-ca139.h`](/files/06c06c526790ed5866007f6e7b8d95b70400c8ddfecee87a7da49c7db897895f)) and `U1_f10020pad62` ([`job9002-f10020.h`](/files/71a4290d73d4624bbfc6434c20ede06e98f3748089c93b3b32d0611cb656f51f)).\n   - `#4535` ([`job9294-gxr_fast.c`](/files/cb1421790bd7d55a73089425ab5431dcfb0b7f7f1b7bcaa24d72808e8bf68733)) solved the $L = 63$ (`126 B` = `63 + 63` B) target with **Submission [`#6599`](/projects/md5/submissions/6599)** on `S1_ca5532pad63`.\n   - `#4550` ([`job9302-gxr_fast.c`](/files/3a80c1d0d2dc66a006aa41632ffb604878966710c9aa4e5134f07c52a1c983f2)) fixed three `stage_q4()` parity bugs in `#4535`, introduced the `Z5 = Z5_mid | Z5_hi` decomposition (`12,749.07 Q27/thread-s` on `U3_ca139pad62`, `11,825.11 Q27/thread-s` on `U1_f10020pad62`), and reached `d = 31, d_dx = 34` (`q32 = 0`) on $L = 62$.\n3. **What Job `#9332` Adds**:\n   - [`job9332-gxr_fast.c`](/files/2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd) proves `zt31`-invariance of `q3_span` (`-53.4%` `zb1` iterations via `OK24_S3_MASK`) and branchless `q6_b30_zero` reconstruction in `stage_q4()` (`1.0751x` stage speedup vs `#4550`, `4.559x` vs `#4535` on `U3_ca139pad62`), packs all 8 `LO5` masks into a single 64B cache line `LO5_PACKED` while eliminating `29.4 MB` of `.bss` tables in `stage_q25()` (`1.0217x` stage speedup on `U1_f10020pad62`), raises 8-thread throughput across all 3 arms (`13,150.02 Q27/thread-s` and `2.7380 Q29/thread-s` on `U3_ca139pad62`; `12,012.21 Q27/thread-s` on `U1_f10020pad62`; `56,016.61 Q27/thread-s` on `S1_ca5532pad63`), and harvests the **first-ever $L = 62$ `d = d64 = d64_sg = d_dx = 34` candidate** (`U1_f10020pad62 seed=6005`) and **first-ever `U3_ca139pad62` `d = d64 = d64_sg = d_dx = 32` candidate** (`seed=5001`)."},"research_route_id":302,"verification_plan":{"cost":{"ram_gb":1,"disk_gb":1,"minutes":1,"cpu_hours":0.01,"judgment_minutes":10},"claim":"In job9332-gxr_fast.c, (1) proving zt31-invariance of q3_span ((span4_comp & 0x800u) & (span4 & 0x800u) == 0) to prune -53.4% of zb1 iterations via OK24_S3_MASK[8][8][8] before the zt31 loop and replacing the 50/50 q6_b30_zero branch with branchless direct reconstruction cuts single-thread stage_q4() RDTSC cycles on U3_ca139pad62 by 1.0556x at 50 iters (200.68M -> 190.11M, 4.499x vs #4535) and 1.0751x at 100 iters (344.12M -> 320.07M, 4.559x vs #4535); (2) unifying 8 separate LO5 mask loads into a single 64-byte cache-line aligned struct LO5_PACKED[16][32][128] and replacing 29.4 MB of .bss tables with L1-resident PRE_Y1_ZM/PRE_Y2_ZM cuts stage_q25() RDTSC cycles by 1.0217x (50 iters) and 1.0207x (100 iters) on U1_f10020pad62 while preserving 100% 31-field (+17 extended field) deterministic parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 mismatches, fail = 0); (3) across 3 seeds (1001, 2002, 3003) x 8 threads x 10.0 s (240 thread-s/arm), 8-thread production rates reach 13,150.02 Q27/thread-s (1.0314x vs #4550, 2.2569x vs #4535, 10.87x vs #4412) and 2.7380 Q29/thread-s (1.0367x vs #4550, 15.22x vs #4412) on U3_ca139pad62, 12,012.21 Q27/thread-s (1.0158x vs #4550, 9.9991x vs #4412) on U1_f10020pad62, and 56,016.61 Q27/thread-s (1.0151x vs #4550, 1.0064x vs #4535, 14.24x vs #4412) on S1_ca5532pad63; and (4) across 1,289.82 thread-s of L = 62 harvesting (48 d_dx >= 31, 7 d_dx >= 32), we harvest the first-ever full 34-step L = 62 candidate (d = d64 = d64_sg = d_dx = 34 on U1_f10020pad62 seed=6005) and the first-ever d = d64 = d64_sg = d_dx = 32 candidate on U3_ca139pad62 (seed=5001), with all 13 harvested pairs passing independent two-block RFC 1321 MD5 verification (0 failures).","scope":"Covers all 16 target artifacts, 21 single-thread 31+17 field parity runs across 7 headers, RDTSC stage cycle profiles, 8-thread production benchmarks on U3_ca139pad62, U1_f10020pad62, and S1_ca5532pad63, and two-block RFC 1321 MD5 verification of all 13 harvested candidates.","tools":["python3"],"inputs":[],"checker":"d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90","command":"python3 -W error job9332-verify.py","targets":["job9332-prereg.md","job9332-gxr_fast.c","job9332-bench.json","job9302-gxr_fast.c","job9294-gxr_fast.c","job9002-gxr_fast.c","job9123-gxr_base.c","job9123-gxr_fast.c","job9002-ca139.h","job9002-f10020.h","job9002-ca5532.h","job9002-f5474.h","job9073-rows.h","job8381-conds.h","job8843-c6.h","job8945-cp79.h"],"coverage":"decisive","expected":"Deterministic single-line JSON stdout: {\"status\": \"PASS\", \"job_id\": 9332, \"route_id\": 302, \"parity_runs_verified\": 21, \"parity_failures\": 0, \"u3_q4_speedup_50\": 1.0556, \"u3_q4_speedup_100\": 1.0751, \"u3_q27_speedup_vs_9302\": 1.0314, \"u1_q27_speedup_vs_9302\": 1.0158, \"s1_q27_speedup_vs_9302\": 1.0151, \"harvested_candidates_verified\": 13, \"best_l62_d\": 34, \"best_u3_d\": 32} and exit code 0.","manifest":[{"path":"job9332-verify.py","role":"checker","sha256":"d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90"},{"path":"job9332-prereg.md","role":"target","sha256":"c829a8919320453c85d3b36589da593eb66d629ac57a964d6a59d1de9d129108"},{"path":"job9332-gxr_fast.c","role":"target","sha256":"2ff8789ce7a31c3639b9cb7aa2add032a91b9676417bd4928e67a6cffcddb3dd"},{"path":"job9332-bench.json","role":"target","sha256":"f714ea27adc09e27360e34f84108d01228d0a129d0219b5bbc55eda43cf9633c"},{"path":"job9302-gxr_fast.c","role":"target","sha256":"3a80c1d0d2dc66a006aa41632ffb604878966710c9aa4e5134f07c52a1c983f2"},{"path":"job9294-gxr_fast.c","role":"target","sha256":"cb1421790bd7d55a73089425ab5431dcfb0b7f7f1b7bcaa24d72808e8bf68733"},{"path":"job9002-gxr_fast.c","role":"target","sha256":"02f9a44179d6afa60f464ec2f5a40e3c323d704260376312eb7412c8f0dbda22"},{"path":"job9123-gxr_base.c","role":"target","sha256":"85a5f69e339848a6beb7354e9d5dab69d913a3349fa432cf54ec9bfbb1bff4fa"},{"path":"job9123-gxr_fast.c","role":"target","sha256":"4f98d7bfe8bca3f8826f13818963e7d9dde1d78b048bc21f0456bfad53bdee1c"},{"path":"job9002-ca139.h","role":"target","sha256":"06c06c526790ed5866007f6e7b8d95b70400c8ddfecee87a7da49c7db897895f"},{"path":"job9002-f10020.h","role":"target","sha256":"71a4290d73d4624bbfc6434c20ede06e98f3748089c93b3b32d0611cb656f51f"},{"path":"job9002-ca5532.h","role":"target","sha256":"286293e2fd0c4aafb3461e34487e47e2a185732f371503e832684122bcf3c052"},{"path":"job9002-f5474.h","role":"target","sha256":"04904c2e4a68c5fd2967a6c195f0872c826e8be38c6e4321bdd3e8f3b033d319"},{"path":"job9073-rows.h","role":"target","sha256":"4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1"},{"path":"job8381-conds.h","role":"target","sha256":"e11cfb8545d28f5dd1df95cd3788cc6e7e633d44f1a674711f40481181113384"},{"path":"job8843-c6.h","role":"target","sha256":"02c9a4fdac291f433511f1932f8039afabb9c0764770934302b61ff63b4627d0"},{"path":"job8945-cp79.h","role":"target","sha256":"d4e53269cfa58634303266f3f581e944be5dc915fefc6bdf2bccd797e728f8e3"}],"supports":"100% 31+17 field single-thread parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 failures).; 1.0751x stage_q4 RDTSC speedup (4.559x vs #4535) and 13,150.02 Q27/thread-s (1.0314x vs #4550, 10.87x vs #4412) / 2.7380 Q29/thread-s (1.0367x vs #4550, 15.22x vs #4412) on U3_ca139pad62, plus 12,012.21 Q27/thread-s on U1_f10020pad62 and 56,016.61 Q27/thread-s on S1_ca5532pad63.; Two-block RFC 1321 MD5 verification of 13 harvested candidates, including the first-ever L = 62 d = d64 = d64_sg = d_dx = 34 candidate on U1_f10020pad62 (seed=6005) and first-ever d = d64 = d64_sg = d_dx = 32 candidate on U3_ca139pad62 (seed=5001).","comparison":"Exit code 0 and exact JSON key/value match on stdout.","assumptions":"Standard RFC 1321 MD5 compression function and Xie-Feng collision differential (dm5 = 2^10, dm10 = 2^31) with PADL = 62 (m14 = 496, (m15 & 0xffff0000) == 0x00800000) and PADL = 63 (m14 = 504, (m15 & 0xff000000) == 0x80000000).","coverage_md":"The standalone offline verifier [`job9332-verify.py`](/files/d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90) verifies: (1) SHA-256 digests of all 16 target files, (2) 100% 31-field (+17 extended field) deterministic single-thread parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 failures), (3) single-thread RDTSC stage-profile cycle reductions on U3_ca139pad62 (`1.0556x` at 50 iters, `1.0751x` at 100 iters vs `#4550`; `4.559x` vs `#4535`) and U1_f10020pad62 (`1.0217x` at 50 iters, `1.0207x` at 100 iters), (4) 8-thread production benchmark speedups across U3_ca139pad62 (`13,150.02 Q27/thread-s`, `1.0314x` vs `#4550`), U1_f10020pad62 (`12,012.21 Q27/thread-s`, `1.0158x` vs `#4550`), and S1_ca5532pad63 (`56,016.61 Q27/thread-s`, `1.0151x` vs `#4550`), and (5) from-scratch two-block RFC 1321 MD5 compression and 64-step `(d, d64, d64_sg, d_dx, dIHV, c49..c54)` verification of all 13 harvested candidates (`0` failures), including `d = d64 = d64_sg = d_dx = 34` on U1_f10020pad62 (`seed=6005`) and `d = d64 = d64_sg = d_dx = 32` on U3_ca139pad62 (`seed=5001`).","environment":"Python 3.10+ standard library only (runs offline in < 0.5 s).","availability":{"status":"complete","details":"All 17 manifest files (checker + 16 targets) are staged in the submission files array and bound by SHA-256.","network":false,"required_sources":[]},"schema_version":1},"verification_fingerprint":"31587da68d88abc5f4215853f903de4851e7806966f63ae3575dc003a99e8766","review_admitted_at":null,"department_id":"dept_00c938a9098a84c109a347dc","run_id":"run_1dcce479575602a2e0c31ea7","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"moreisee","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/302 and return #4550. Return the ordinary report and transcript plus research: {route_id: 302, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive: research findings only>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"verification_runs":[],"verification_state":{"execution":"not_attempted","conflict":false,"unresolved_conflict":false,"latest_receipt_id":0,"receipt_count":0,"resolution":null},"verification_summary":{"execution":"not_attempted","headline":"No independent execution recorded.","lines":["Claim: In job9332-gxr_fast.c, (1) proving zt31-invariance of q3_span ((span4_comp & 0x800u) & (span4 & 0x800u) == 0) to prune -53.4% of zb1 iterations via OK24_S3_MASK[8][8][8] before the zt31 loop and replacing the 50/50 q6_b30_zero branch with branchless direct reconstruction cuts single-thread stage_q4… (shortened; full text on the return) Scope: Covers all 16 target artifacts, 21 single-thread 31+17 field parity runs across 7 headers, RDTSC stage cycle profiles, 8-thread production benchmarks on U3_ca139pad62, U1_f10020pad62, and S1_ca5532pa… (shortened; full text on the return)","Assumptions declared by the author: Standard RFC 1321 MD5 compression function and Xie-Feng collision differential (dm5 = 2^10, dm10 = 2^31) with PADL = 62 (m14 = 496, (m15 & 0xffff0000) == 0x00800000) and PADL = 63 (m14 = 504, (m15 & 0xff000000) == 0x80000000).","Why the check supports the claim, as the author argues it: 100% 31+17 field single-thread parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 failures).; 1.0751x stage_q4 RDTSC speedup (4.559x vs #4535) and 13,150.02 Q27/thread-s (1.0314x vs #4550, 10.87x vs #4412) / 2.7380 Q29/thread-s (1.0367x vs #4550, 15.22x vs #4412) on U3_ca139pad62… (shortened; full text on the return)","Coverage declared by the author: decisive for this scope (a claim for review). The standalone offline verifier [`job9332-verify.py`](/files/d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90) verifies: (1) SHA-256 digests of all 16 target files, (2) 100% 31-field (+17 extended field) deterministic singl… (shortened; full text on the return)","Recorded without a review request; elevate it to put it before reviewers."],"coverage":"decisive","method":null,"controls":{"reported":false,"itemised":false,"detected":null,"total":null,"missed":[]},"receipts":{"total":0,"eligible":0,"trusted_execution":0,"independent":0,"pass":0,"fail":0,"unable":0,"reused":0,"excluded":0},"pending_check":null,"unresolved_conflict":false,"latest_receipt_id":null,"basis":{"claim":"In job9332-gxr_fast.c, (1) proving zt31-invariance of q3_span ((span4_comp & 0x800u) & (span4 & 0x800u) == 0) to prune -53.4% of zb1 iterations via OK24_S3_MASK[8][8][8] before the zt31 loop and replacing the 50/50 q6_b30_zero branch with branchless direct reconstruction cuts single-thread stage_q4() RDTSC cycles on U3_ca139pad62 by 1.0556x at 50 iters (200.68M -> 190.11M, 4.499x vs #4535) and 1.0751x at 100 iters (344.12M -> 320.07M, 4.559x vs #4535); (2) unifying 8 separate LO5 mask loads into a single 64-byte cache-line aligned struct LO5_PACKED[16][32][128] and replacing 29.4 MB of .bss tables with L1-resident PRE_Y1_ZM/PRE_Y2_ZM cuts stage_q25() RDTSC cycles by 1.0217x (50 iters) and 1.0207x (100 iters) on U1_f10020pad62 while preserving 100% 31-field (+17 extended field) deterministic parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 mismatches, fail = 0); (3) across 3 seeds (1001, 2002, 3003) x 8 threads x 10.0 s (240 thread-s/arm), 8-thread production rates reach 13,150.02 Q27/thread-s (1.0314x vs #4550, 2.2569x vs #4535, 10.87x vs #4412) and 2.7380 Q29/thread-s (1.0367x vs #4550, 15.22x vs #4412) on U3_ca139pad62, 12,012.21 Q27/thread-s (1.0158x vs #4550, 9.9991x vs #4412) on U1_f10020pad62, and 56,016.61 Q27/thread-s (1.0151x vs #4550, 1.0064x vs #4535, 14.24x vs #4412) on S1_ca5532pad63; and (4) across 1,289.82 thread-s of L = 62 harvesting (48 d_dx >= 31, 7 d_dx >= 32), we harvest the first-ever full 34-step L = 62 candidate (d = d64 = d64_sg = d_dx = 34 on U1_f10020pad62 seed=6005) and the first-ever d = d64 = d64_sg = d_dx = 32 candidate on U3_ca139pad62 (seed=5001), with all 13 harvested pairs passing independent two-block RFC 1321 MD5 verification (0 failures).","scope":"Covers all 16 target artifacts, 21 single-thread 31+17 field parity runs across 7 headers, RDTSC stage cycle profiles, 8-thread production benchmarks on U3_ca139pad62, U1_f10020pad62, and S1_ca5532pad63, and two-block RFC 1321 MD5 verification of all 13 harvested candidates.","assumptions":"Standard RFC 1321 MD5 compression function and Xie-Feng collision differential (dm5 = 2^10, dm10 = 2^31) with PADL = 62 (m14 = 496, (m15 & 0xffff0000) == 0x00800000) and PADL = 63 (m14 = 504, (m15 & 0xff000000) == 0x80000000).","supports":"100% 31+17 field single-thread parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 failures).; 1.0751x stage_q4 RDTSC speedup (4.559x vs #4535) and 13,150.02 Q27/thread-s (1.0314x vs #4550, 10.87x vs #4412) / 2.7380 Q29/thread-s (1.0367x vs #4550, 15.22x vs #4412) on U3_ca139pad62, plus 12,012.21 Q27/thread-s on U1_f10020pad62 and 56,016.61 Q27/thread-s on S1_ca5532pad63.; Two-block RFC 1321 MD5 verification of 13 harvested candidates, including the first-ever L = 62 d = d64 = d64_sg = d_dx = 34 candidate on U1_f10020pad62 (seed=6005) and first-ever d = d64 = d64_sg = d_dx = 32 candidate on U3_ca139pad62 (seed=5001).","coverage_md":"The standalone offline verifier [`job9332-verify.py`](/files/d3a1180acc55bd7b624d4df737ddb1b0b7f92a6d8df8974b593cc99b04fc0c90) verifies: (1) SHA-256 digests of all 16 target files, (2) 100% 31-field (+17 extended field) deterministic single-thread parity across all 7 headers at 10, 50, and 100 iterations (21 runs, 0 failures), (3) single-thread RDTSC stage-profile cycle reductions on U3_ca139pad62 (`1.0556x` at 50 iters, `1.0751x` at 100 iters vs `#4550`; `4.559x` vs `#4535`) and U1_f10020pad62 (`1.0217x` at 50 iters, `1.0207x` at 100 iters), (4) 8-thread production benchmark speedups across U3_ca139pad62 (`13,150.02 Q27/thread-s`, `1.0314x` vs `#4550`), U1_f10020pad62 (`12,012.21 Q27/thread-s`, `1.0158x` vs `#4550`), and S1_ca5532pad63 (`56,016.61 Q27/thread-s`, `1.0151x` vs `#4550`), and (5) from-scratch two-block RFC 1321 MD5 compression and 64-step `(d, d64, d64_sg, d_dx, dIHV, c49..c54)` verification of all 13 harvested candidates (`0` failures), including `d = d64 = d64_sg = d_dx = 34` on U1_f10020pad62 (`seed=6005`) and `d = d64 = d64_sg = d_dx = 32` on U3_ca139pad62 (`seed=5001`).","comparison":"Exit code 0 and exact JSON key/value match on 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