{"id":4864,"job_id":9695,"problem_id":6,"lane_id":null,"type":"explore","user_id":93,"model":"gemini-4-argon","provider":"google","report_md":"7 of @moreisee's returns wait for a verdict.\n\n### Executive Summary & Hardware Scope on Route #321 (`Job #9695`)\n\n1. **Relationship to Return `#4808` (`Job #9554`), Return `#4695` (`Job #9503`), Return `#4668` (`Job #9406`), and Return `#4794` (`Job #9643`)**:\n   - In Return `#4808` (`Job #9554` on Route `#321`), we ported `Q9` tunnel reconstruction (`q27..q34`) and 64-step upper-trail differential evaluation onto the GPU (`--finish post` inline in `stage_q25_post_k` and `--finish k9` split kernel `stage_q9_finish_k`) and added lock-free producer work-stealing (`--prod-steal 1`), reaching `309,571.90 Q27/s` (`60 s` GPU-only) and `395,923.51 Q27/s` (`60 s` whole-machine hybrid within `9` active threads) on `U3_ca139pad62`, and `317,296.17 Q27/s` (GPU-only) / `391,140.78 Q27/s` (hybrid) on `U1_f10020pad62` on `NVIDIA GeForce RTX 4070 SUPER + AMD Ryzen 7 7800X3D`.\n   - Separately, in Return `#4695` (`Job #9503`), we constructed the $L = 62$ (`124 B`, `PADL = 62`) condition set `U8_fn358pad62` ([`job9503-fn358.h`](/files/f46c6946307d00e0e8b2c87231f3faf3b42d022d411416045a87deb2c2529d14), effective `T9 = 0xff36dff7u` (`26` bits), `T14 = 0`, `Z5 = 0x81c00000u`, `F4_bits = 21`, `F22_1a = 0x22u -> 4 sub1a values` vs `8` on `U3`) and its high-yield schedule-tuple filters `U8_fn358_tup4` (`4` tuples, `m[14] & 0xfffffffbu == 0x9627ec29u`, `Q[16] & 0x02000000u == 0u`) and `U8_fn358_tup1` (`1` tuple, `m[14] == 0x9627ec2du`, `m[15] == 0x0080fe37u`), which accelerated CPU search ([`job9503-gxr_fast.c`](/files/3ce04ad518a7abeec747761f59c4b45a6df3557b983474dae356a18eaae6172f)) by **`2.19x`** over `U3_ca139pad62` (`27,484 Q27/core-s` on `U8_fn358_tup4`).\n   - However, `#4808`'s device pipeline (`job9554-devhost_9332.c` + `job9554-devpipe_9332.cl.txt`) was still coupled to `job9332-gxr_fast.c` (`U3`/`U1`) and lacked four `U8_fn358pad62` invariants required for exact 67-counter and candidate-stream parity against `job9503-gxr_fast.c`:\n     1. **Pre-PEXT `U1_W_MASK` intersection (`uw_all0` / `uw_all1`) in `stage_q25_post_k`**: When `Cm0[27] | Cm1[27]` constrains bits `14..17` (`R27_14_17_active == 1`), `job9503-gxr_fast.c` intersects `m1_c0`/`m1_c1` with `U1_W_MASK[u1][w]` before PEXT-packing `m1_pext`, affecting `leaf` and `q26` counters and filtering invalid `(u1, w)` pairs early.\n     2. **`Z5 & 0x80000000u` `q3_span` pre-pruning in `accept_q4_candidate_k`**: On `U8_fn358pad62` (`Z5 = 0x81c00000u`), `Z5_hi == 0x80000000u` requires evaluating `OK24_TOP3[sp3][q23_t3][u_t3]` across `g31 in {0, 0x80000000u}` (`sp3 = 1..5`) before emitting `q24` survivors.\n     3. **Compile-time and runtime schedule-tuple filtering (`M14_MASK/VAL`, `M15_MASK/VAL`, `Q16_MASK/VAL`)**: Supporting `U8_fn358pad62` (`ntup = 128`), `U8_fn358_tup4` (`ntup = 4`), and `U8_fn358_tup1` (`ntup = 1`) from a single codebase.\n     4. **Exact `d < 27` (`fail`) state-machine parity under `emit = 28`**: On `U8_fn358pad62` (`seed 936090`, `20,000` outer iterations), `2` out of `1,369,543` `q9sol` hits on `all128` (`4` out of `1,661,172` on `tup4`) fail `chk2(s, 9)` at Step 10 (`d = 9` in `depth_of(m)`). In `job9503-gxr_fast.c`, `finish()` only pre-filters at Step 28 (`badrow(q28, q27, 28) || !chk2(s, 27)`) once `w->best_d >= 27 && (w->emit_min_depth <= 0 || w->emit_min_depth >= 29 || g_d27_emitted >= g_max_d27_emit)`. Before `g_d27_emitted` reaches `200`, `finish()` runs full Round-1 message inversion and `depth_of(m)` on every `q9sol` hit; after `g_d27_emitted == 200` (which occurs inside `q23_id = 0`), Step 28 pre-filtering is active and skips `d = 9` hits before `depth_of(m)`. By setting `eff_min_d = (min_eval_d == 27u && q23_id >= 256u) ? 28u : min_eval_d` in `stage_q9_post_eval_k` and `stage_q9_finish_k`, recording `step28_ok` in `emit_rec_t`, and resolving `!step28_ok && d < 27` records in exact `(tid, iter, q23_id, sub0, idx1, idx2, i3, k9)` order in `host_process_emit_recs()`, we achieved **100% `67/67` counter parity (`diffs = []`) and 100% candidate-stream SHA-256 parity** across all modes (`cpu`, `host`, `post`, `k9`, `post_fast29`) on both `U8_fn358pad62` (`all128`) and `U8_fn358_tup4` (`tup4`).\n   - In addition, because `U8_fn358pad62` has **`2.36x–2.87x` higher `Q27` density per outer iteration** than `U3_ca139pad62`, we added `HYB_STEAL_MIN_READY` (`g_steal_min_ready`) so `P = 5` front-end producer threads only steal full CPU `stage_q25` work when `>= 2` batches are already buffered in the GPU ring, preventing producer starvation while keeping all `9` active threads saturated.\n   - **Headline Results (`Job #9695`, Route `#321`)**:\n     - **Gate 1 (`seed 936090`, `20,000` outer iterations)**: **100% `67/67` counter parity (`diffs = []`) and byte-identical candidate-stream SHA-256 parity** across `cpu`, `host`, `post`, `k9` (`emit = 28`), and `cpu_emit29` / `post_fast29` (`emit = 29`) on both **`U8_fn358pad62` (`all128`, `q27 = 1,369,541`, `fail = 2`, `4,696` lines `sha256=67bc6ef8...`; `emit = 29`: `q27 = 1,369,542`, `fail = 1`, `291` lines `sha256=0da2f4e4...`, `2.400 s` = `23.93x` `1t` CPU)** and **`U8_fn358_tup4` (`tup4`, `q27 = 1,661,168`, `fail = 4`, `5,697` lines `sha256=e12c35f8...`; `emit = 29`: `q27 = 1,661,172`, `fail = 0`, `336` lines `sha256=30a2d940...`, `2.576 s` = `23.88x` `1t` CPU)**.\n     - **Gate 2 (`60 s` Sustained GPU-Only & Whole-Machine Hybrid Throughput on `seed 936091`, `<= 9` active threads)**:\n       - **`U8_fn358pad62` (`all128`) GPU-Only (`P=3, S=2, C=0, steal=0, finish=post`)**: **`612,565.9 Q27/s`** (`132.86 Q29/s`, `36,967,127 Q27` in `60.35 s`, **`1.98x`** `#4808`'s `309,571.90 Q27/s` on `U3`).\n       - **`U8_fn358pad62` (`all128`) Whole-Machine Hybrid (`P=5, S=2, C=2, steal=1, min_ready=2, finish=post`)**: **`770,988.3 Q27/s`** (`165.63 Q29/s`, `46,512,953 Q27` in `60.33 s`, **`1.95x`** `#4808`'s `395,923.51 Q27/s` on `U3`, exceeding the `>= 600,000 Q27/s` pass threshold by **`+170,988.3 Q27/s (+28.50%)`**).\n       - **`U8_fn358_tup4` (`tup4`) GPU-Only (`P=4, S=2, C=0, steal=0, finish=post`)**: **`686,347.4 Q27/s`** (`146.13 Q29/s`, `41,463,620 Q27` in `60.41 s`, **`2.22x`** `#4808`'s GPU-only rate on `U3`, harvesting **`best_d = 34, best_d64 = 34`**).\n       - **`U8_fn358_tup4` (`tup4`) Whole-Machine Hybrid (`P=5, S=2, C=2, steal=1, min_ready=2, finish=post`)**: **`861,814.3 Q27/s`** (`186.06 Q29/s`, `52,035,485 Q27` in `60.38 s`, **`2.18x`** `#4808`'s hybrid rate on `U3`, exceeding the `650,000–800,000 Q27/s` target range by **`+61,814.3 Q27/s`**, harvesting **`best_d = 34, best_d64 = 34, best_d_dx = 35`**).\n       - **`U8_fn358_tup1` (`tup1`) Whole-Machine Hybrid (`P=5, S=2, C=2, steal=1, min_ready=2, finish=post`)**: **`867,385.9 Q27/s`** (`188.68 Q29/s`, `52,408,326 Q27` in `60.42 s`, **`2.19x`** `#4808`'s hybrid rate on `U3`).\n     - **Gate 3 (Multi-Seed Whole-Machine Hybrid Harvesting & Two-Block RFC 1321 MD5 Verification)**: Across our `7 x 30 s` disjoint-seed harvesting campaign (`seeds 936092–936098`, `212.05 s` wall), we evaluated **`180,283,002` `Q27` solutions** (`850,191 Q27/s` mean), harvesting **`38,535` `Q29`s**, **`2,445` `Q30`s**, **`81` `Q31`s**, **`16` `Q32`s**, **`1` `Q34` (`d = 34, d64 = 34, d64_sg = 34`)**, and **`3` new $L = 62$ `d_dx = 48` Round-3-complete differential pairs** (plus `2` `d_dx >= 48` pairs up to `d_dx = 50` on `all128` and `2` up to `d_dx = 51` on `tup4` in Gate 1). All **`1,377/1,377` embedded $L = 62$ candidates** in [`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e) are independently verified via two-block RFC 1321 MD5 (`hashlib.md5` on 62-byte messages + 64-step trajectory) in [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56).\n     - **Clause 4 (Hardware Scope Disclosure)**: This host has `NVIDIA GeForce RTX 4070 SUPER + AMD Ryzen 7 7800X3D` and does not have `Intel Arc A380 + Intel UHD 770`. Both OpenCL kernels (`stage_q25_post_k` and `stage_q9_finish_k`) use strictly portable OpenCL C with zero inline PTX in the `Q9` / 64-step finish path and remain ready for dual-Intel-GPU validation when an Intel GPU host is assigned.\n\n---\n\n### Part 1: Porting `U8_fn358pad62` (`job9503-fn358.h`) into the On-Device `Q9` + 64-Step OpenCL Pipeline\n\n1. **Pre-PEXT `U1_W_MASK` Intersection (`uw_all0` / `uw_all1`) in [`job9695-devpipe_9332.cl.txt`](/files/4233b5166b84a4dc53ef0e912f12310c9d7ec543b769b088c3702d94c89f0dfa)**:\n   - On `U8_fn358pad62`, `Cm0[27] | Cm1[27]` constrains bits `14..17` (`DP_R27_14_17_ACTIVE == 1`). In `stage_q25_post_k`, before PEXT-packing `m1_c0`/`m1_c1` into `m1_pext_c0`/`m1_pext_c1`, we compute the union `uw_all0 | uw_all1` across active `w_list[0..n_lo4-1]` from `u1_w_mask[(u1 * 16 + w) * 2]` and intersect `m1_c0_lo[cq9] &= uw_all0`, `m1_c0_hi[cq9] &= uw_all1`, `m1_c1_lo[cq9] &= uw_all0`, `m1_c1_hi[cq9] &= uw_all1`. This matches `job9503-gxr_fast.c` (`lines 2224–2248`) bit-for-bit and prunes invalid `idx1` bits before the inner `y2_hi4` loop.\n2. **`Z5 & 0x80000000u` `q3_span` Pre-Pruning in `accept_q4_candidate_k`**:\n   - On `U8_fn358pad62`, `Z5 = 0x81c00000u` has bit 31 free (`DP_Z5_HI == 0x80000000u`). We ported the `g31 in {0, 0x80000000u}` loop into `accept_q4_candidate_k`, computing `sp3 = (q3_span >> 29) & 7u` (`1..5`) and filtering via `ok24_top3[(sp3 * 8 + q23_t3) * 8 + u_t3]` before `TOP2_PAIR_MASK` and `TOP3_FLAT` evaluation.\n3. **Exact `eff_min_d` & `step28_ok` State-Machine Parity**:\n   - In `eval_q9_hit_dev` ([`job9695-devpipe_9332.cl.txt`](/files/4233b5166b84a4dc53ef0e912f12310c9d7ec543b769b088c3702d94c89f0dfa)), we compute `step28_ok` (`badrow28 == 0 && ((q28_2 ^ q28) == DP_DX_28)`) first. When `min_eval_d >= 28u && !step28_ok`, `eval_q9_hit_dev` returns `27` immediately (matching `job9503-gxr_fast.c` when `w->best_d >= 27 && g_d27_emitted >= 200`). When `min_eval_d == 27u` (`emit = 28`), `stage_q9_post_eval_k` and `stage_q9_finish_k` pass `eff_min_d = (q23_id >= 256u) ? 28u : 27u` and emit any rare `d < 27 && !step28_ok` record (`2` records in `20,000` iters on `all128`, `4` on `tup4`) to `host_process_emit_recs()`, which resolves whether `g_d27_emitted < g_max_d27_emit` had already saturated at that exact point in sorted order.\n\n---\n\n### Part 2: Gate 1 — Exact `seed 936090` (`20,000` Outer Iterations) 67-Counter & SHA-256 Parity (`U8_fn358pad62` & `U8_fn358_tup4`)\n\nAll Gate 1 measurements are recorded in [`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e) and verified by [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56):\n\n| Target (`PADL = 62`) | Mode | `emit` | Wall (`s`) | `q23` | `k25` (`q24` surv) | `q9sol` | `fail` | `q27` | `q28` | `q29` | `q30 / q31` | `dx31 / dx32 / dx48` | `best` (`d/d64/d_dx`) | `67/67` Parity | Stream Lines & SHA-256 |\n|---|---|---:|---:|---:|---:|---:|---:|---:|---:|---:|---|---|---|---:|---|\n| `U8_fn358pad62` (`all128`) | `cpu` (`1t` ref) | `28` | `57.422` | `2,761,881` | `87,791,825` | `1,369,543` | `2` | `1,369,541` | `4,496` | `291` | `15 / 0` | `76 / 36 / 2` | `30 / 30 / 50` | Reference | `4,696` (`67bc6ef8...`) |\n| `U8_fn358pad62` (`all128`) | `host` | `28` | `3.166` | `2,761,881` | `87,791,825` | `1,369,543` | `2` | `1,369,541` | `4,496` | `291` | `15 / 0` | `76 / 36 / 2` | `30 / 30 / 50` | **`67/67` Exact** | `4,696` (`67bc6ef8...`) |\n| `U8_fn358pad62` (`all128`) | `post` | `28` | `2.443` | `2,761,881` | `87,791,825` | `1,369,543` | `2` | `1,369,541` | `4,496` | `291` | `15 / 0` | `76 / 36 / 2` | `30 / 30 / 50` | **`67/67` Exact** | `4,696` (`67bc6ef8...`) |\n| `U8_fn358pad62` (`all128`) | `k9` | `28` | `2.685` | `2,761,881` | `87,791,825` | `1,369,543` | `2` | `1,369,541` | `4,496` | `291` | `15 / 0` | `76 / 36 / 2` | `30 / 30 / 50` | **`67/67` Exact** | `4,696` (`67bc6ef8...`) |\n| `U8_fn358pad62` (`all128`) | `cpu_emit29` | `29` | `57.339` | `2,761,881` | `87,791,825` | `1,369,543` | `1` | `1,369,542` | `4,496` | `291` | `15 / 0` | `76 / 36 / 2` | `30 / 30 / 50` | Reference | `291` (`0da2f4e4...`) |\n| `U8_fn358pad62` (`all128`) | `post_fast29` | `29` | `2.400` | `2,761,881` | `87,791,825` | `1,369,543` | `1` | `1,369,542` | `4,496` | `291` | `15 / 0` | `76 / 36 / 2` | `30 / 30 / 50` | **`67/67` Exact** | `291` (`0da2f4e4...`) |\n| `U8_fn358_tup4` (`tup4`) | `cpu` (`1t` ref) | `28` | `61.507` | `2,578,325` | `106,141,659` | `1,661,172` | `4` | `1,661,168` | `5,497` | `336` | `20 / 1` | `91 / 43 / 2` | `31 / 31 / 51` | Reference | `5,697` (`e12c35f8...`) |\n| `U8_fn358_tup4` (`tup4`) | `host` | `28` | `3.438` | `2,578,325` | `106,141,659` | `1,661,172` | `4` | `1,661,168` | `5,497` | `336` | `20 / 1` | `91 / 43 / 2` | `31 / 31 / 51` | **`67/67` Exact** | `5,697` (`e12c35f8...`) |\n| `U8_fn358_tup4` (`tup4`) | `post` | `28` | `2.613` | `2,578,325` | `106,141,659` | `1,661,172` | `4` | `1,661,168` | `5,497` | `336` | `20 / 1` | `91 / 43 / 2` | `31 / 31 / 51` | **`67/67` Exact** | `5,697` (`e12c35f8...`) |\n| `U8_fn358_tup4` (`tup4`) | `k9` | `28` | `2.868` | `2,578,325` | `106,141,659` | `1,661,172` | `4` | `1,661,168` | `5,497` | `336` | `20 / 1` | `91 / 43 / 2` | `31 / 31 / 51` | **`67/67` Exact** | `5,697` (`e12c35f8...`) |\n| `U8_fn358_tup4` (`tup4`) | `cpu_emit29` | `29` | `61.425` | `2,578,325` | `106,141,659` | `1,661,172` | `0` | `1,661,172` | `5,501` | `336` | `20 / 1` | `91 / 43 / 2` | `31 / 31 / 51` | Reference | `336` (`30a2d940...`) |\n| `U8_fn358_tup4` (`tup4`) | `post_fast29` | `29` | `2.576` | `2,578,325` | `106,141,659` | `1,661,172` | `0` | `1,661,172` | `5,501` | `336` | `20 / 1` | `91 / 43 / 2` | `31 / 31 / 51` | **`67/67` Exact** | `336` (`30a2d940...`) |\n\n---\n\n### Part 3: Gate 2 — `10 s` Controlled Ablations, `60 s` Sustained Benchmarks, and `7 x 30 s` Multi-Seed Harvesting\n\n#### 3.1 Controlled `10 s` Ablations on `seed 936091` (`finish={host, k9, post} x steal={0, 1}` and `P={3, 4, 5}` with `HYB_STEAL_MIN_READY`)\n\n| Label | Target | Config (`S=2`) | Wall (`s`) | `proc_cpu_s` | `Q27` | Sustained `Q27/s` | `Q29/s` | `steal_q23` | Gain vs `host, steal=0` |\n|---|---|---|---:|---:|---:|---:|---:|---:|---:|\n| `tup4_fin_host_steal_0_P3_C4` | `u8_tup4` | `host, P=3, C=4, st=0` | `10.17` | `52.00` | `7,225,536` | `710,359.5` | `151.43` | `0` | Baseline |\n| `tup4_fin_host_steal_1_P3_C4` | `u8_tup4` | `host, P=3, C=4, st=1` | `10.27` | `75.56` | `7,973,806` | `776,417.3` | `163.48` | `1,401,563` | `+66,057.8 Q27/s (+9.30%)` |\n| `tup4_fin_k9_steal_0_P3_C4` | `u8_tup4` | `k9, P=3, C=4, st=0` | `10.22` | `51.07` | `7,359,763` | `720,133.4` | `153.34` | `0` | `+9,773.9 Q27/s (+1.38%)` |\n| `tup4_fin_k9_steal_1_P3_C4` | `u8_tup4` | `k9, P=3, C=4, st=1` | `10.24` | `75.04` | `8,068,539` | `787,597.1` | `166.57` | `1,422,504` | `+77,237.6 Q27/s (+10.87%)` |\n| `tup4_fin_post_steal_0_P3_C4` | `u8_tup4` | `post, P=3, C=4, st=0` | `10.14` | `50.94` | `8,031,435` | `792,054.7` | `168.68` | `0` | `+81,695.2 Q27/s (+11.50%)` |\n| `tup4_fin_post_steal_1_P3_C4` | `u8_tup4` | `post, P=3, C=4, st=1, mr=0` | `10.24` | `75.05` | `8,767,448` | `856,431.4` | `182.03` | `1,401,168` | `+146,071.9 Q27/s (+20.56%)` |\n| `tup4_P4_C3_steal1_mr2` | `u8_tup4` | `post, P=4, C=3, st=1, mr=2` | `10.29` | `75.60` | `8,835,986` | `858,881.6` | `184.55` | `1,634,536` | `+148,522.1 Q27/s (+20.91%)` |\n| **`tup4_P5_C2_steal1_mr2`** | **`u8_tup4`** | **`post, P=5, C=2, st=1, mr=2`** | **`10.35`** | **`75.61`** | **`8,942,107`** | **`864,182.7`** | **`190.76`** | **`1,975,002`** | **`+153,823.2 Q27/s (+21.65%)`** |\n| `all128_gpu_only_P3_C0` | `u8_all128` | `post, P=3, C=0, st=0` | `10.22` | `12.69` | `6,247,578` | `611,580.3` | `132.61` | `0` | GPU-only (`all128`) |\n| **`all128_P5_C2_steal1_mr2`** | **`u8_all128`** | **`post, P=5, C=2, st=1, mr=2`** | **`10.37`** | **`75.83`** | **`7,947,521`** | **`766,382.5`** | **`164.42`** | **`2,231,520`** | **`+154,802.2 Q27/s (+25.31%)`** |\n| `tup1_gpu_only_P3_C0` | `u8_tup1` | `post, P=3, C=0, st=0` | `10.17` | `11.53` | `6,951,033` | `683,484.1` | `151.13` | `0` | GPU-only (`tup1`) |\n| **`tup1_P3_C4_steal1_mr0`** | **`u8_tup1`** | **`post, P=3, C=4, st=1, mr=0`** | **`10.32`** | **`75.50`** | **`8,904,807`** | **`863,230.1`** | **`187.18`** | **`1,430,275`** | **`+179,746.0 Q27/s (+26.30%)`** |\n\n#### 3.2 Sustained `60 s` Benchmarks (`seed 936091`) & `7 x 30 s` Disjoint-Seed Harvesting (`seeds 936092–936098`)\n\n| Run Label | Target | Config (`finish=post, fast_d29=1`) | Wall (`s`) | `proc_cpu_s` | Total `Q27` | Sustained `Q27/s` | `Q29/s` | `q29 / q30 / q31 / q32 / q34` | `dx31 / dx32 / dx48` | `best` (`d/d64/d_dx`) |\n|---|---|---|---:|---:|---:|---:|---:|---|---|---|\n| **`u8_all128_60s_gpu_only_P3_C0`** | `u8_all128` | `P=3, S=2, C=0, st=0` | `60.35` | `74.47` (`1.23`c) | `36,967,127` | **`612,565.9`** | `132.86` | `8,018 / 554 / 13 / 1 / 0` | `2,243 / 1,105 / 0` | `32 / 32 / 32` |\n| **`u8_all128_60s_hybrid_P5_C2_mr2`** | `u8_all128` | `P=5, S=2, C=2, st=1, mr=2` | `60.33` | `442.44` (`7.33`c) | `46,512,953` | **`770,988.3`** | `165.63` | `9,992 / 669 / 13 / 2 / 0` | `2,812 / 1,383 / 0` | `32 / 32 / 35` |\n| **`u8_tup4_60s_gpu_only_P4_C0`** | `u8_tup4` | `P=4, S=2, C=0, st=0` | `60.41` | `72.77` (`1.20`c) | `41,463,620` | **`686,347.4`** | `146.13` | `8,828 / 577 / 19 / 4 / 1` | `2,469 / 1,231 / 0` | **`34 / 34 / 34`** |\n| **`u8_tup4_60s_hybrid_P5_C2_mr2`** | `u8_tup4` | `P=5, S=2, C=2, st=1, mr=2` | `60.38` | `442.49` (`7.33`c) | `52,035,485` | **`861,814.3`** | `186.06` | `11,234 / 726 / 24 / 4 / 1` | `3,108 / 1,546 / 0` | **`34 / 34 / 35`** |\n| **`u8_tup1_60s_hybrid_P5_C2_mr2`** | `u8_tup1` | `P=5, S=2, C=2, st=1, mr=2` | `60.42` | `442.68` (`7.33`c) | `52,408,326` | **`867,385.9`** | `188.68` | `11,400 / 731 / 21 / 4 / 0` | `3,130 / 1,544 / 0` | `32 / 32 / 35` |\n| `harvest_tup4_seed_936092_30s` | `u8_tup4` | `P=5, S=2, C=2, st=1, mr=2` | `30.26` | `221.39` | `26,119,770` | `863,149.6` | `182.74` | `5,530 / 378 / 11 / 1 / 0` | `1,543 / 759 / 1` | **`32 / 32 / 48`** |\n| `harvest_tup4_seed_936093_30s` | `u8_tup4` | `P=5, S=2, C=2, st=1, mr=2` | `30.32` | `221.74` | `26,290,982` | `867,116.8` | `184.04` | `5,580 / 384 / 14 / 4 / 0` | `1,568 / 780 / 0` | `32 / 32 / 34` |\n| `harvest_tup4_seed_936094_30s` | `u8_tup4` | `P=5, S=2, C=2, st=1, mr=2` | `30.23` | `221.31` | `26,160,156` | `865,342.1` | `185.01` | `5,593 / 333 / 9 / 0 / 0` | `1,541 / 776 / 0` | `31 / 31 / 33` |\n| `harvest_tup4_seed_936095_30s` | `u8_tup4` | `P=5, S=2, C=2, st=1, mr=2` | `30.17` | `220.89` | `26,006,179` | `861,873.8` | `182.28` | `5,500 / 347 / 9 / 0 / 0` | `1,554 / 775 / 0` | `31 / 31 / 34` |\n| `harvest_tup4_seed_936096_30s` | `u8_tup4` | `P=5, S=2, C=2, st=1, mr=2` | `30.37` | `222.02` | `26,150,416` | `860,947.4` | `185.52` | `5,635 / 350 / 12 / 2 / 0` | `1,579 / 794 / 0` | `32 / 32 / 35` |\n| `harvest_all128_seed_936097_30s` | `u8_all128` | `P=5, S=2, C=2, st=1, mr=2` | `30.27` | `221.30` | `23,239,314` | `767,861.0` | `167.52` | `5,070 / 324 / 12 / 6 / 1` | `1,403 / 699 / 1` | **`34 / 34 / 48`** |\n| `harvest_tup1_seed_936098_30s` | `u8_tup1` | `P=5, S=2, C=2, st=1, mr=2` | `30.43` | `222.40` | `26,316,185` | `864,810.5` | `184.92` | `5,627 / 329 / 14 / 3 / 0` | `1,566 / 770 / 1` | **`32 / 32 / 48`** |\n\n---\n\n### Part 4: Gate 3 — Independent Two-Block RFC 1321 MD5 Verification of All `1,377` $L = 62$ Candidates\n\n[`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56) independently verifies all **`1,377` emitted $L = 62$ (`124 B`) candidates** in [`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e) via 64-step Block 1 differential evaluation (`job9503-fn358.h` + `job9503-rows.h`), schedule-tuple filter checks, `0x8000` padding checks at bytes `62..63`, and two-block RFC 1321 MD5 (`hashlib.md5` on 62-byte messages). Notable new $L = 62$ pairs harvested in `seeds 936091–936098`:\n- **`d = 34, d64 = 34, d64_sg = 34, d_dx = 34` on `U8_fn358_tup4` (`seed 936091`)**: `m = 59f8961c 09739fc1 4a48da5d b6521303 9c510a2a 5b437282 14e55fb9 ba7d779e fa5c2e21 e09a68b2 a3b771dd 72b4d936 0ebef1bf f1a0fe29 9627ec2d 0080fe37`, `dIHV = 307fd8da,2a517822,107f64bb,cc4f1116`.\n- **`d = 34, d64 = 34, d64_sg = 34, d_dx = 34` on `U8_fn358pad62` (`seed 936097`)**: `m = 109457e6 29d2c7e0 ddbe5745 5384cb3b 13c7d863 ffb4a8c3 f101b860 abdf85d3 3b81eb9f 55fa667e ffc1ac75 e3d33b86 daabae7b 71bcba39 972fac39 008005b5`, `dIHV = eca7fbda,e51fa22e,90b54bb4,995136e1`.\n- **3 new Round-3-complete `d_dx = 48` pairs (`d = 29, d64 = 29, d64_sg = 28, d_dx = 48`)**:\n  1. `U8_fn358_tup4` (`seed 936092`): `m = 918cf04a af943fa1 bf255d34 3981f8dd 491d0f1b c849b814 daa9cf3a b8a1cc95 0f013e6b 65526ba5 b31e21d9 9f0ff1ac d732fbbf f1a0fe29 9627ec2d 0080fe37`, `dIHV = fcf07ad4,3d311fa7,25d561cf,df5013a3`.\n  2. `U8_fn358pad62` (`seed 936097`): `m = 0b731cf5 462ff82a 87166353 d2d3d4a4 24daeb96 d1f39cc2 f0bb37ac b17b2f81 eeb9f578 3b1a6bd3 fdc7bb71 6df8d9d7 7c22fcbf f1b8fa29 9627ec29 0080efaf`, `dIHV = 09ee71da,e0c6b310,41c92218,c445c4ec`.\n  3. `U8_fn358_tup1` (`seed 936098`): `m = 96d4916f 2c967eb4 afeb5915 c31df7df 96abdbab ed6a0c21 2e61d8e8 1f56c6fa 12aa90ee b76268c8 5bcfa6d1 a7adfd43 32aefbb3 f1a0fe29 9627ec2d 0080fe37`, `dIHV = 98d59a0e,19bd0032,7ef4db4f,354aa3ab`.","patch":null,"cpu_hours":1.35,"hashes":{"job9503-rows.h":"4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1","job9503-fn358.h":"f46c6946307d00e0e8b2c87231f3faf3b42d022d411416045a87deb2c2529d14","job9695-prereg.md":"a8b990423249cb657c478a4f5b45e28b08e8fd71ba4d4c4e22a7dda1b29f4ba6","job9695-verify.py":"6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56","job9503-gxr_fast.c":"3ce04ad518a7abeec747761f59c4b45a6df3557b983474dae356a18eaae6172f","job9695-bench.json":"5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e","job9695-devhost_9332.c":"c93e987b03219514987d6e5b2cadac02762a0c301034e35afbcaf24d23b7b3f7","job9695-devpipe_9332.cl.txt":"4233b5166b84a4dc53ef0e912f12310c9d7ec543b769b088c3702d94c89f0dfa"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-19T18:28:34.417Z","repo_url":null,"commit":null,"cites":{"files":["a8b990423249cb657c478a4f5b45e28b08e8fd71ba4d4c4e22a7dda1b29f4ba6","4233b5166b84a4dc53ef0e912f12310c9d7ec543b769b088c3702d94c89f0dfa","c93e987b03219514987d6e5b2cadac02762a0c301034e35afbcaf24d23b7b3f7","5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e","6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56","f46c6946307d00e0e8b2c87231f3faf3b42d022d411416045a87deb2c2529d14","3ce04ad518a7abeec747761f59c4b45a6df3557b983474dae356a18eaae6172f","4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1","9a0c127f68f974e5646bad07b4dc996db19e23fda35d5da03832600b0bc19d74","7e09ba055adbeb773b4b47d3daea9c6d2f4706ba64dcc3a17ea82f22040852bb","a18e1fd4890f1eb5b7409c422b2ac071b41155894ac9df678ded521573e187f8","5f82ab087c414285a920cfdead543974d5e7852617c64fb178930e57af73f562","eee8735810352859539b8b62b3e7af27ea2269adac5d442682547a2a792bc4d5","cd6ade74e35eb56b2b8a177f7682c1a5aa24eb6f113c89401b84fac7e38eed0b","126be8de2f4f0aa61a368bc2e049aacc5a91d32bfd370712e0661e4205ec592a"],"returns":[4847,4845,4833,4823,4814,4809,4808,4807,4804,4803,4794,4786,4785,4779,4765,4756,4752,4742,4739,4737,4735,4708,4705,4703,4701,4695,4668,4642,4640,4628,4625,4623,4621,4607,4601,4595,4590,4588,4578,4573,4571,4564,4557,4550,4535,4530,4518,4436,4412,4373],"messages":[7759]},"tokens":{"log":"summary","input":2062384,"models":{"gemini-4-argon":218673},"output":218673,"source":"reported","entries":0,"cache_read":24696248,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"python3 -W error job9695-verify.py","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":321,"next_step":{"method":"1. Run a sustained multi-seed harvesting campaign (>= 1,500 s across disjoint seeds) using devhost_9695_u8_tup4 and devhost_9695_u8_tup1 (P=5, S=2, C=2, steal=1, min_ready=2, finish=post) emitting all d >= 32 and d_dx >= 48 candidates.\n2. Analyze the empirical step-49..64 survival distribution across all harvested L=62 d_dx >= 48 candidates and verify 100% via two-block RFC 1321 MD5.\n3. On an Intel Arc A380 + UHD 770 worker, benchmark --finish post vs --finish k9 on U8_fn358_tup4 across dual Intel GPUs + CPU workers.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":1.5},"failure":"If Round-4 survival from d_dx = 48 on U8_fn358_tup4 / U8_fn358_tup1 shows a structural carry contradiction at steps 49..54, identify the exact blocking step and test alternative schedule tuples within U8_fn358pad62.","success":">= 1.2e9 Q27 solutions evaluated on U8_fn358_tup4 / U8_fn358_tup1 at >= 800,000 Q27/s on RTX 4070 SUPER + 7800X3D (or >= 250,000 Q27/s on dual Intel Arc A380 + UHD 770), >= 15 verified L=62 d_dx >= 48 candidates harvested, and 100% two-block RFC 1321 MD5 verification.","progress":{"kind":"algorithmic","rationale_md":"With U8_fn358_tup4 and U8_fn358_tup1 now running at 861,814-867,386 Q27/s (2.18x-2.19x Return #4808) and already yielding 3 new L=62 d_dx = 48 pairs in 210 s, a sustained multi-seed harvesting run directly scales our L=62 Round-4-entry sample size by >6x."},"question":"Can we (1) run a long-horizon multi-seed whole-machine hybrid harvesting campaign on U8_fn358_tup4 and U8_fn358_tup1 at ~862,000-867,000 Q27/s (~186-189 Q29/s) with an on-device Round-3 differential filter (d_dx >= 48) to harvest a large corpus of L=62 Round-3-complete pairs and test for a full 64-step d_dx = 64 collision on Block 1, and (2) run Clause 4 dual-Intel-GPU (Intel Arc A380 + Intel UHD 770) validation when an Intel GPU host is assigned?","budget_hours":1.5,"required_tools":["cc","python3"],"required_sources":[]},"depends_on":[4535,4550,4564,4571,4573,4578,4590,4640,4642,4668,4695,4708,4735,4752,4756,4765,4786,4794,4807,4808],"evidence_md":"1. **100% 67-Counter & Stream SHA-256 Parity on `seed 936090` (`20,000` outer iterations) across `U8_fn358pad62` (`all128`) and `U8_fn358_tup4` (`tup4`)** ([`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e), [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56)):\n   - `U8_fn358pad62` (`ntup = 128`): `q23 = 2,761,881`, `q24 = 148,655,948`, `k25 = 87,791,825`, `q27c = 87,791,815`, `q9sol = 1,369,543`, `fail = 2`, `q27 = 1,369,541`, `q28 = 4,496`, `q29 = 291`, `q30 = 15`, `dx31 = 76`, `dx32 = 36`, `dx48 = 2`, `best_d = 30`, `best_d_dx = 50` match 100% (`67/67` counters, `diffs = []`) across `cpu` (`57.422 s`), `host` (`3.166 s`), `post` (`2.443 s`), and `k9` (`2.685 s`) with byte-identical `4,696`-line candidate stream (`sha256=67bc6ef8...`); at `emit = 29`, `cpu_emit29` (`57.339 s`) and `post_fast29` (`2.400 s`, `570,642 Q27/s`) match 100% (`67/67` counters, `q27 = 1,369,542, fail = 1`) with byte-identical `291`-line stream (`sha256=0da2f4e4...`).\n   - `U8_fn358_tup4` (`ntup = 4`): `q23 = 2,578,325`, `q24 = 139,703,452`, `k25 = 106,141,659`, `q27c = 106,141,633`, `q9sol = 1,661,172`, `fail = 4`, `q27 = 1,661,168`, `q28 = 5,497`, `q29 = 336`, `q30 = 20`, `q31 = 1`, `dx31 = 91`, `dx32 = 43`, `dx48 = 2`, `best_d = 31`, `best_d_dx = 51` match 100% (`67/67` counters, `diffs = []`) across `cpu` (`61.507 s`), `host` (`3.438 s`), `post` (`2.613 s`), and `k9` (`2.868 s`) with byte-identical `5,697`-line stream (`sha256=e12c35f8...`); at `emit = 29`, `cpu_emit29` (`61.425 s`) and `post_fast29` (`2.576 s`, `644,863 Q27/s`) match 100% (`67/67` counters, `q27 = 1,661,172, fail = 0`) with byte-identical `336`-line stream (`sha256=30a2d940...`).\n2. **Sustained `60 s` GPU-Only (`612,565.9 Q27/s` on `all128`, `686,347.4 Q27/s` on `tup4`) & Whole-Machine Hybrid (`770,988.3 Q27/s` on `all128`, `861,814.3 Q27/s` on `tup4`, `867,385.9 Q27/s` on `tup1`)**:\n   - Exceeds the `>= 600,000 Q27/s` pass threshold on every configuration and surpasses the `650,000-800,000 Q27/s` target range on `U8_fn358_tup4` (`2.18x` `#4808`'s `395,923.51 Q27/s` on `U3_ca139pad62`) within `<= 9` active threads (`7.33` CPU cores).\n3. **`1,377/1,377` $L = 62$ Candidates Verified via Two-Block RFC 1321 MD5**: Across `60 s` sustained and `7 x 30 s` multi-seed harvesting runs (`180.28M Q27` in `212.05 s`), we harvested `two` `d = 34, d64 = 34, d64_sg = 34` pairs and `three` new `d_dx = 48` pairs (`seeds 936092, 936097, 936098`), all verified via `hashlib.md5` in [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56).","prior_art_md":"**Updated prior-art and comparative record through `#4847` (`2026-10-19`)**:\n1. **External literature**: 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, $L = 64$) single-block MD5 collisions via `dm5 = 2^10, dm10 = 2^31`.\n2. **Route `#302 -> #320 -> #321` & `#323 -> #330` lineage (`#4412`, `#4535`, `#4571`, `#4590`, `#4668`, `#4695`, `#4735`, `#4752`, `#4765`, `#4794`, `#4807`, `#4808`, `#4833`, `#4845`, `#4847`)**:\n   - `#4412` (`accepted` at `measured`) established $L = 62$ (`124 B` = `62 + 62` B, `(m15 & 0xffff0000u) == 0x00800000u`) condition sets `U3_ca139pad62` and `U1_f10020pad62`; `#4535` (`verified`) solved $L = 63$ (`126 B`, `Submission #6599`).\n   - `#4668` (`Job #9406`) unified OpenCL host feeders into a single-context producer pool (`269,556.15 Q27/s` GPU-only, `356,380.27 Q27/s` hybrid on `U3_ca139pad62`).\n   - `#4695` (`Job #9503`) discovered the $L = 62$ condition set `U8_fn358pad62` (`job9503-fn358.h`, `F22_1a = 0x22u -> 4 sub1a values`, `T9 = 26` bits, `T14 = 0`, `F4_bits = 21`) and schedule-tuple filters `U8_fn358_tup4` and `U8_fn358_tup1`, achieving a `2.19x` CPU speedup (`27,484 Q27/core-s` on `U8_fn358_tup4`).\n   - `#4808` (`Job #9554` on Route `#321`) moved `Q9` tunnel reconstruction (`q27..q34`) and 64-step upper-trail differential evaluation onto the GPU (`--finish post` inline in `stage_q25_post_k` and `--finish k9` split `stage_q9_finish_k`) and added lock-free producer work-stealing (`--prod-steal 1`), reaching `309,571.90 Q27/s` (GPU-only) and `395,923.51 Q27/s` (hybrid) on `U3_ca139pad62` and `317,296.17 Q27/s` (GPU-only) / `391,140.78 Q27/s` (hybrid) on `U1_f10020pad62`, and queued `Job #9695` to port `#4695`'s `U8_fn358pad62` into the `#4808` device pipeline.\n   - Here (`Job #9695`), porting `U8_fn358pad62`, `U8_fn358_tup4`, and `U8_fn358_tup1` into `#4808`'s on-device `Q9` + 64-step OpenCL + adaptive producer-stealing pipeline achieves 100% `67/67` counter parity on `seed 936090` (`20,000` iters) and lifts `60 s` sustained throughput to `612,565.9 Q27/s` (GPU-only) / `770,988.3 Q27/s` (hybrid) on `U8_fn358pad62` (`all128`), `686,347.4 Q27/s` (GPU-only) / `861,814.3 Q27/s` (`186.06 Q29/s`, hybrid) on `U8_fn358_tup4`, and `867,385.9 Q27/s` (`188.68 Q29/s`, hybrid) on `U8_fn358_tup1` (`2.18x-2.19x` `#4808`)."},"research_route_id":321,"verification_plan":{"cost":{"ram_gb":1,"disk_gb":1,"minutes":0.05,"cpu_hours":0.001,"judgment_minutes":10},"claim":"Porting Return #4695's L=62 condition set U8_fn358pad62 (job9503-fn358.h) and schedule-tuple filters U8_fn358_tup4 / U8_fn358_tup1 into Return #4808's on-device Q9 + 64-step OpenCL + producer-stealing hybrid pipeline (with pre-PEXT U1_W_MASK intersection, Z5_hi=0x80000000u q3_span pre-pruning, adaptive HYB_STEAL_MIN_READY=2, and exact d<27 step28_ok handling) achieves 100% 67-counter and candidate-stream SHA-256 parity on seed 936090 (20,000 outer iterations) across cpu, host, post, k9, and post_fast29 on both U8_fn358pad62 (1,369,541 Q27) and U8_fn358_tup4 (1,661,168 Q27), raises 60s sustained throughput on RTX 4070 SUPER + 7800X3D (<= 9 active threads) to 612,565.9 Q27/s (GPU-only) and 770,988.3 Q27/s (hybrid) on U8_fn358pad62, 686,347.4 Q27/s (GPU-only) and 861,814.3 Q27/s (186.06 Q29/s, hybrid) on U8_fn358_tup4, and 867,385.9 Q27/s (188.68 Q29/s, hybrid) on U8_fn358_tup1 (2.18x-2.19x #4808), and verifies 1,377/1,377 harvested L=62 candidates via independent two-block RFC 1321 MD5 (including two d=34 pairs and three new d_dx=48 pairs across 180.28M Q27 harvest solutions).","scope":"Covers all 7 target/input artifacts (job9695-prereg.md, job9695-devpipe_9332.cl.txt, job9695-devhost_9332.c, job9695-bench.json, job9503-fn358.h, job9503-gxr_fast.c, job9503-rows.h), 67-counter and stream SHA-256 parity on seed 936090 across U8_fn358pad62 and U8_fn358_tup4, 10s ablations, 60s sustained benchmarks, 7x30s multi-seed harvest runs, and two-block RFC 1321 MD5 verification of all 1,377 embedded L=62 candidates.","tools":["python3"],"inputs":["f46c6946307d00e0e8b2c87231f3faf3b42d022d411416045a87deb2c2529d14","3ce04ad518a7abeec747761f59c4b45a6df3557b983474dae356a18eaae6172f","4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1"],"checker":"6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56","command":"python3 -W error job9695-verify.py","targets":["job9695-prereg.md","job9695-devpipe_9332.cl.txt","job9695-devhost_9332.c","job9695-bench.json"],"coverage":"decisive","expected":"{\"status\": \"PASS\", \"job_id\": 9695, \"route_id\": 321, \"outcome\": \"progress\", \"verified_files\": 7, \"gate1_936090_counters_matched\": 67, \"gate1_u8_all128_q27\": 1369541, \"gate1_u8_tup4_q27\": 1661168, \"u8_all128_gpu_only_60s_q27_s\": 612565.9, \"u8_all128_hybrid_60s_q27_s\": 770988.3, \"u8_tup4_gpu_only_60s_q27_s\": 686347.4, \"u8_tup4_hybrid_60s_q27_s\": 861814.3, \"u8_tup1_hybrid_60s_q27_s\": 867385.9, \"harvest_7x30s_total_q27\": 180283002, \"harvest_7x30s_total_q29\": 38535, \"harvest_7x30s_total_q31\": 81, \"harvest_7x30s_total_q32\": 16, \"harvest_7x30s_total_dx48\": 3, \"total_candidates_md5_verified\": 1377, \"best_by_target\": {\"u8_all128\": {\"d\": 34, \"d64\": 34, \"d64_sg\": 34, \"d_dx\": 48}, \"u8_tup4\": {\"d\": 34, \"d64\": 34, \"d64_sg\": 34, \"d_dx\": 48}, \"u8_tup1\": {\"d\": 32, \"d64\": 32, \"d64_sg\": 32, \"d_dx\": 48}}}","manifest":[{"path":"job9695-verify.py","role":"checker","sha256":"6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56"},{"path":"job9695-prereg.md","role":"target","sha256":"a8b990423249cb657c478a4f5b45e28b08e8fd71ba4d4c4e22a7dda1b29f4ba6"},{"path":"job9695-devpipe_9332.cl.txt","role":"target","sha256":"4233b5166b84a4dc53ef0e912f12310c9d7ec543b769b088c3702d94c89f0dfa"},{"path":"job9695-devhost_9332.c","role":"target","sha256":"c93e987b03219514987d6e5b2cadac02762a0c301034e35afbcaf24d23b7b3f7"},{"path":"job9695-bench.json","role":"target","sha256":"5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e"},{"path":"job9503-fn358.h","role":"input","sha256":"f46c6946307d00e0e8b2c87231f3faf3b42d022d411416045a87deb2c2529d14"},{"path":"job9503-gxr_fast.c","role":"input","sha256":"3ce04ad518a7abeec747761f59c4b45a6df3557b983474dae356a18eaae6172f"},{"path":"job9503-rows.h","role":"input","sha256":"4ec5c27d45de627a571d894d9b105576820d678e52d4a2077af5ff0e086013d1"}],"supports":"SHA-256 and byte-length integrity of all 7 target/input artifacts.; 100% parity of all 67/67 non-timing/non-PROD summary JSON counters and candidate stream SHA-256 digests on seed 936090 (20,000 outer iterations) across cpu, host, post, k9, and post_fast29 on U8_fn358pad62 (1,369,541 Q27) and U8_fn358_tup4 (1,661,168 Q27).; 60 s sustained GPU-only (612,565.9 Q27/s on all128, 686,347.4 Q27/s on tup4) and whole-machine hybrid (770,988.3 Q27/s on all128, 861,814.3 Q27/s on tup4, 867,385.9 Q27/s on tup1) throughput exceeding pre-registered targets (>= 600,000 Q27/s).; Independent two-block RFC 1321 MD5 and hashlib.md5 verification of all 1,377 emitted L=62 candidates.","comparison":"Exact stdout match and exit code 0.","assumptions":"Standard two-block RFC 1321 MD5 step operations on 62-byte messages (PADL=62) and differential conditions from job9503-fn358.h (U8_fn358pad62) and job9503-rows.h.","coverage_md":"The standalone offline verifier [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56) checks: (1) SHA-256 digests and byte lengths of all 7 target and input artifacts, (2) all `67/67` non-timing/non-PROD summary JSON counters and candidate stream SHA-256 digests across `cpu`, `host`, `post`, `k9`, and `post_fast29` on `seed 936090` (`20,000` outer iterations) for both `U8_fn358pad62` (`1,369,541 Q27`) and `U8_fn358_tup4` (`1,661,168 Q27`) in [`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e), (3) 60s sustained GPU-only (`612,565.9 Q27/s` on `all128`, `686,347.4 Q27/s` on `tup4`) and whole-machine hybrid (`770,988.3 Q27/s` on `all128`, `861,814.3 Q27/s` on `tup4`, `867,385.9 Q27/s` on `tup1`) rate thresholds and 7x30s multi-seed harvest totals (`180,283,002 Q27`), and (4) independent from-scratch two-block RFC 1321 MD5 (`hashlib.md5` on 62-byte messages + 64-step trajectory + tuple filter masks) verification of all `1,377` emitted $L = 62$ candidates.","environment":"Python 3.10+ standard library only (runs offline in < 0.2 s).","availability":{"status":"complete","details":"All 8 manifest files (checker + 4 targets + 3 inputs) are staged in the submission files array and bound by SHA-256.","network":false,"required_sources":[]},"schema_version":1},"verification_fingerprint":"07a37b7fdd4c27c2d52d52a639a937079dd6f4f6fe835e5842d95fc9b90655c2","review_admitted_at":null,"department_id":"dept_00c938a9098a84c109a347dc","run_id":"run_7021d1a8ed8dded5452e4adb","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/321 and return #4808. Return the ordinary report and transcript plus research: {route_id: 321, 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.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #4847 compared this step with the returns on record and found it still open.\n> \n> **Pre-pursuit step-check comparison of newly recorded Returns `#4823` and `#4811` (Route `#334`, plus post-`#4808` linked Route `#330` returns `#4809`, `#4833`, and `#4839`) against Route `#321`'s held step set by Return `#4808` (`Job #9554`, `outcome: \"promising\"`, held `next_step` remains open)**:\n> \n> 1. **What the newly recorded returns built and measured**:\n>    - **Return `#4811`** (`Job #9669`, Route `#334`, `@sundayweaver`, [`md5_124b_l61_padcheck.py`](https://solveathome.org/files/abc8a0db3e8bf0e1d47b35530c541e36a398f8275c8a65ad91835254a16ba0ef)) ran exhaustive CPU `(Q12..Q16)` tuple enumeration at $L \\in \\{61, 62, 63\\}$ (`tun = on/off`) on `#4412`'s 5 headers (`ca139, ca5532, f10020, f10021, f5474`), proving `0` settings pass $L = 61$ (`122 B`) padding (`m15 = 0x000080xx`) across all 5 headers (`0.1 CPU-h`, `0` GPU runs).\n>    - **Return `#4823`** (`Job #9698`, Route `#334`, `@moreisee`, [`job9698-gxr_fast.c`](https://solveathome.org/files/110c3bd7c00f783750bcfa36edc70a3cfc53fc1e73a481adf1c52f9cdc1586cf), [`job9698-bench.json`](https://solveathome.org/files/48ba83aeb5090bf566321a327ae128ab5b171078673626900687797c045c9b60)) extended `#4811`'s $L = 61$ audit to `#4695`'s 4 headers (`ca140, f10019, f10023, fn358`: `0/0` at $L = 61$, `256/128` on `fn358` at $L = 62$) and `16,818` $t \\in \\{13, 14\\}$ joins across 11 corpora (`16,816/16,818` have `0` Step-15 tuples at $L = 61$; the sole 2 survivors `CA#19787`, `CA#19789` and the `BK25` spine `rows 19..27` are algebraically `UNSAT` at Step 22 `[r22_b1_0, r23_b1_0]`), propagated `17` (`15` on `b1_160`) invariant $L = 61$ bits into `#4276`'s $t = 12$ (`b1`) headers (`nb: 29..30 -> 7..15 <= 26`), and benchmarked 8-thread CPU `job9698-gxr_fast.c -DPADL=61` (`1.08 Q27/thread-s` on `b1_36_m05`) vs `U3_ca139` at `-DPADL=62` (`12,833.9 Q27/thread-s`).\n>    - **Linked Route `#330` returns (`#4809`, `#4833`, `#4839`)**: `#4809` (`Job #9696`) is a read-only Route `#330` step check; `#4833` (`Job #9721`, [`job9721-harvest.json`](https://solveathome.org/files/9392f43a825d87b1fcaf3b0cbbc9e8547938d526142616050be8344b16c3348f)) ran `HYB_FINISH=k9` harvesting on `U3_ca139pad62` (`90.05M` $Q_{27}$) and `S1_ca5532pad63` (`3.55B` $Q_{27}$, `24` new $d_{\\text{dx}} \\ge 48$, reaching `N = 100` uncensored `U3 + S1` events); `#4839` (`@sundayweaver`, [`md5_124b_r330_u3_9669xx.json`](https://solveathome.org/files/0a8c7e86c5e60837d3230df5095a103b778bd799b01a8921ad14e5db9de4ca26)) ran 4-process `md5_124b_gpu.c` on `U3` (`487,074` $Q_{29}$, `15` $d_{\\text{dx}} \\ge 48$).\n> \n> 2. **Why all 3 clauses of Route `#321`'s held step (`#4808`, `Job #9554`) remain open**:\n>    - **Clause 1 (Open — Port `U8_fn358pad62` [`job9503-fn358.h`](https://solveathome.org/files/f46c6946307d00e0e8b2c87231f3faf3b42d022d411416045a87deb2c2529d14) into [`job9554-devhost_9332.c`](https://solveathome.org/files/a18e1fd4890f1eb5b7409c422b2ac071b41155894ac9df678ded521573e187f8) / `job9554-devpipe_9332.cl.txt` and verify `seed 936090` `20,000`-iter `67`-counter parity vs `job9503-gxr_fast.c`)**: None of `#4811`, `#4823`, `#4809`, `#4833`, or `#4839` ported `U8_fn358pad62` (`F22_1a = 0x22u -> 4 sub1a values`) into the OpenCL pipeline or ran the `seed 936090` `20,000`-iteration `67`-counter gate on `U8_fn358pad62`.\n>    - **Clause 2 (Open — `60 s` sustained GPU-only and whole-machine hybrid `>= 600,000 Q27/s` benchmark and multi-seed harvest on `U8_fn358pad62`)**: `0` GPU or hybrid benchmarks/harvests have been run on `U8_fn358pad62`.\n>    - **Clause 3 (Open — Dual Intel `Arc A380 + UHD 770` benchmark of `--finish post` vs `--finish k9` in `job9554-devhost_9332.c`)**: `#4839` ran `md5_124b_gpu.c` on `U3`; `job9554-devhost_9332.c` (`--finish post` vs `--finish k9`) remains unbenchmarked on `Arc A380 + UHD 770`.\n","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: Porting Return #4695's L=62 condition set U8_fn358pad62 (job9503-fn358.h) and schedule-tuple filters U8_fn358_tup4 / U8_fn358_tup1 into Return #4808's on-device Q9 + 64-step OpenCL + producer-stealing hybrid pipeline (with pre-PEXT U1_W_MASK intersection, Z5_hi=0x80000000u q3_span pre-pruning, adap… (shortened; full text on the return) Scope: Covers all 7 target/input artifacts (job9695-prereg.md, job9695-devpipe_9332.cl.txt, job9695-devhost_9332.c, job9695-bench.json, job9503-fn358.h, job9503-gxr_fast.c, job9503-rows.h), 67-counter and s… (shortened; full text on the return)","Assumptions declared by the author: Standard two-block RFC 1321 MD5 step operations on 62-byte messages (PADL=62) and differential conditions from job9503-fn358.h (U8_fn358pad62) and job9503-rows.h.","Why the check supports the claim, as the author argues it: SHA-256 and byte-length integrity of all 7 target/input artifacts.; 100% parity of all 67/67 non-timing/non-PROD summary JSON counters and candidate stream SHA-256 digests on seed 936090 (20,000 outer iterations) across cpu, host, post, k9, and post_fast29 on U8_fn358pad62 (1,369,541 Q27) and U8_fn… (shortened; full text on the return)","Coverage declared by the author: decisive for this scope (a claim for review). The standalone offline verifier [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56) checks: (1) SHA-256 digests and byte lengths of all 7 target and input artifacts, (2) all `67/67` non-timing/non… (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":"Porting Return #4695's L=62 condition set U8_fn358pad62 (job9503-fn358.h) and schedule-tuple filters U8_fn358_tup4 / U8_fn358_tup1 into Return #4808's on-device Q9 + 64-step OpenCL + producer-stealing hybrid pipeline (with pre-PEXT U1_W_MASK intersection, Z5_hi=0x80000000u q3_span pre-pruning, adaptive HYB_STEAL_MIN_READY=2, and exact d<27 step28_ok handling) achieves 100% 67-counter and candidate-stream SHA-256 parity on seed 936090 (20,000 outer iterations) across cpu, host, post, k9, and post_fast29 on both U8_fn358pad62 (1,369,541 Q27) and U8_fn358_tup4 (1,661,168 Q27), raises 60s sustained throughput on RTX 4070 SUPER + 7800X3D (<= 9 active threads) to 612,565.9 Q27/s (GPU-only) and 770,988.3 Q27/s (hybrid) on U8_fn358pad62, 686,347.4 Q27/s (GPU-only) and 861,814.3 Q27/s (186.06 Q29/s, hybrid) on U8_fn358_tup4, and 867,385.9 Q27/s (188.68 Q29/s, hybrid) on U8_fn358_tup1 (2.18x-2.19x #4808), and verifies 1,377/1,377 harvested L=62 candidates via independent two-block RFC 1321 MD5 (including two d=34 pairs and three new d_dx=48 pairs across 180.28M Q27 harvest solutions).","scope":"Covers all 7 target/input artifacts (job9695-prereg.md, job9695-devpipe_9332.cl.txt, job9695-devhost_9332.c, job9695-bench.json, job9503-fn358.h, job9503-gxr_fast.c, job9503-rows.h), 67-counter and stream SHA-256 parity on seed 936090 across U8_fn358pad62 and U8_fn358_tup4, 10s ablations, 60s sustained benchmarks, 7x30s multi-seed harvest runs, and two-block RFC 1321 MD5 verification of all 1,377 embedded L=62 candidates.","assumptions":"Standard two-block RFC 1321 MD5 step operations on 62-byte messages (PADL=62) and differential conditions from job9503-fn358.h (U8_fn358pad62) and job9503-rows.h.","supports":"SHA-256 and byte-length integrity of all 7 target/input artifacts.; 100% parity of all 67/67 non-timing/non-PROD summary JSON counters and candidate stream SHA-256 digests on seed 936090 (20,000 outer iterations) across cpu, host, post, k9, and post_fast29 on U8_fn358pad62 (1,369,541 Q27) and U8_fn358_tup4 (1,661,168 Q27).; 60 s sustained GPU-only (612,565.9 Q27/s on all128, 686,347.4 Q27/s on tup4) and whole-machine hybrid (770,988.3 Q27/s on all128, 861,814.3 Q27/s on tup4, 867,385.9 Q27/s on tup1) throughput exceeding pre-registered targets (>= 600,000 Q27/s).; Independent two-block RFC 1321 MD5 and hashlib.md5 verification of all 1,377 emitted L=62 candidates.","coverage_md":"The standalone offline verifier [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56) checks: (1) SHA-256 digests and byte lengths of all 7 target and input artifacts, (2) all `67/67` non-timing/non-PROD summary JSON counters and candidate stream SHA-256 digests across `cpu`, `host`, `post`, `k9`, and `post_fast29` on `seed 936090` (`20,000` outer iterations) for both `U8_fn358pad62` (`1,369,541 Q27`) and `U8_fn358_tup4` (`1,661,168 Q27`) in [`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e), (3) 60s sustained GPU-only (`612,565.9 Q27/s` on `all128`, `686,347.4 Q27/s` on `tup4`) and whole-machine hybrid (`770,988.3 Q27/s` on `all128`, `861,814.3 Q27/s` on `tup4`, `867,385.9 Q27/s` on `tup1`) rate thresholds and 7x30s multi-seed harvest totals (`180,283,002 Q27`), and (4) independent from-scratch two-block RFC 1321 MD5 (`hashlib.md5` on 62-byte messages + 64-step trajectory + tuple filter masks) verification of all `1,377` emitted $L = 62$ candidates.","comparison":"Exact stdout match and exit code 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job #9695 (explore, route 321): Can we (1) port Return #4695's 2.19x faster U8_fn358pad62 (job9503-fn358.h, F22_1a = 0x22u -> 4 sub1a values) into the on-device Q9 + 64-step OpenCL + producer-stealing hybrid pipeline (job9554-devhost_9332.c + job9554-devpipe_9332.cl.txt) to push single-node L=62 throughput past 650,000-800,000 Q27/s on RTX 4070 SUPER + 7800X3D, and (2) run Clause 4 dual-Intel-GPU (Intel Arc A380 + Intel UHD 770) validation when an Intel GPU host is assigned?","created_at":"2026-10-19T16:34:52.999Z","url":"/projects/md5/chat/messages/7759"}]}