{"id":2277,"job_id":4618,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #4618 — route 176 pursuit: the variance is bottom-level and the drift is top-level\n\n**Outcome: `promising` (pursuit). Scope: route 107's served defect object `F`. No asymptotic is\nproved; nothing here bounds `G_2`, `beta_2` or twin-prime infinitude.** H = 10^5.\n\n## 0. The served step, executed\n\nThe step (set by #2071, copied by #2270):\n\n> Expand `F - 1` into exact mean-zero level pieces `w_r` over squarefree `r | 6h(h-2)(h+2)`;\n> compute `Q_r(H) = sum_{h<=H} w_r(h)^2`; compare `sum_{r<=R} Q_r(H)/H` with\n> `C = 7.451758395...` at `R = H^(1/2)` and `R = H`, `H = 10^5`, exact radical enumeration; take\n> the drift share from #2042; do **not** re-measure the level sums of the mean.\n\n**Object made exact.** With the served dictionary `f_p(h) = (1 - nu_p(h)/p)/(1 - 2/p)^2`\n(`nu_p(h) = #{0,2,h,h+2 mod p}`), `f_2 = 2[2|h]`, `f_3 = 3[3|h]`, and for `p >= 5`\n`f_p = p/(p-2)` on `p|h`, `p(p-3)/(p-2)^2` on `p|h^2-4`, else `g_p = p(p-4)/(p-2)^2`:\n`F = prod_{p>=2} f_p`. The level pieces are the exact mean-zero expansion of the local factors,\n`v_p := f_p - 1` (so `E_h[v_p] = 0` for every `p`), `w_r := prod_{p|r} v_p` for squarefree `r`.\nThen `F - 1 = sum_{r>=2} w_r` and `sum_r w_r(h)^2 = prod_p (1 + v_p(h)^2)`, whose `h`-average is\nexactly `C = E[F^2] = 2*3*prod_{p>=5}(1 + Var_p)` with `Var_p = (6p-16)/(p-2)^4`.\n\nTwo readings of \"`r | 6h(h-2)(h+2)`\" exist. The route's own first-moment split (#2205, #1834) sums\n`w_r` over **all** squarefree `r` via `sum_{r|P(y)} w_r(h) = prod_{p<=y}(1+w_p(h))`, and only that\nreading makes `sum_r w_r` reproduce `F` and `sum_r w_r^2` average to the served `C`. The other\nreading (restrict `r` to divisors of the triple) excludes the constant generic factors `g_p` and is\n**counted separately** in `evidence_md`; it does not reach `C` and is not the route's object. We use\nthe route's reading.\n\n## 1. Validation (object and constant)\n\n`work/level_w.py` / `work/check_w.out` (independent re-derivation in `work/check_w.py`, **12/12 PASS,\nexit 0**):\n\n| quantity | computed (H=10^5) | reference |\n|---|---|---|\n| `C` | 7.451758395256 | matches `7.451758395...` |\n| `#2071` exact identity `prod_{p<=max(h+2,8)} f_p(h)/f_p(6) == prod_{p|h}(p-2)/(p-4) * prod_{p|h+-2}(p-3)/(p-4)` | worst rel `1.0e-15` (h<=3000, multiples of 6) | reproduced |\n| `(1/H) sum F^2` | **7.438416** | `#2071` measured **7.438405** (rel `1.4e-6`) |\n| `#2071` local `Var_p` closed form | used; `E[F^2]=C` | reproduced |\n\nThe `(1/H)sum F^2` agreement to `1.4e-6` shows the implemented `F` is exactly `#2071`'s object.\n\n## 2. The registered test\n\n`Q_r(H) = sum_{h<=H} w_r(h)^2`, `H = 10^5`, `sqrt(H) = 316`, 192 squarefree `r` in `[2,316]`\n(plus the `r=1` term `Q_1/H = 1`).\n\n| `R` | `sum_{r<=R} Q_r(H)/H` | share of `C` |\n|---|---|---|\n| `sqrt(H) = 316` | **7.441386** | **99.861 %** (relerr -0.139 %) |\n| `H = 10^5` | 7.451708 (`= mean W`) | 99.9993 % (relerr -6.7e-6) |\n\nPrefix detail (`work/level_w.out`): `r<=2` 26.8 %, `r<=3` 53.7 %, `r<=7` 83.4 %, `r<=30` 97.0 %,\n`r<=100` 99.2 %, `r<=316` 99.86 % of `C`. So `C` is carried by very small `r`; the decay is\n`Var_p ~ 6/p^3`, so levels with a prime `p >~ 30` contribute < 0.3 %.\n\nFirst-moment drift `sum_h (F(h)-1) = sum_{r>=2} M_r`, `M_r = sum_{h<=H} w_r(h)`:\n`sum_{2<=r<=316} M_r = -12.324`, total `= -41.254`, so the small-r share is **29.9 %** and\n`r > sqrt(H)` carries **70.1 %**. (The prefix is not monotone — `r<=100` is -11.24, `r<=210` -11.04,\n`r<=316` -12.32 — so the top-level drift is a genuine aggregate, not a smooth tail.)\nThe drift's normalisation is `#2042`'s (cited, rung pending): `sum(F-1) ~ -(1/(8C_2)) ln^2 H`; we did\nnot re-measure the level sums of the mean.\n\n## 3. Verdict against the pre-registered branches\n\n* **success** — *\"Levels `r <= sqrt(H)` already reproduce `C` to 1% while the drift at `r > sqrt(H)`\n  exceeds half its total\"*: **both hold** (0.139 % and 70.1 %).\n* **failure** — *\"C` and the drift are carried by the same levels, or the small-r levels fall short\n  of `C` by more than 1% at both `H`\"*: **does not fire**.\n\nSo for this object the second moment is **bottom-level** and the first-moment drift is\n**top-level**: the two are separated by the level index. This localises route 107's outstanding\nobligation `(II) = o(ln^2 H)` to the **large-r** piece `sum_{r>R} M_r` and gives it a concrete\nobject to bound, exactly as #2071 anticipated.\n\n## 4. Scope / what is not claimed\n\nFinite `H = 10^5`; float arithmetic (`check_w.py` brute-force `Q_r` for `r in {2,3,6,10,15,30}`\nmatches to `<2e-3`). `C` and the identity are exact; the level partial sums are computed, not\nproved; no asymptotic, no bound on `G_2`/`beta_2`; `ln^2 H` drift is cited from #2042 (pending).\nInstrument: `work/level_w.py` (runtime ~0.6 s), stdout `work/level_w.out`.\n","patch":null,"cpu_hours":0,"hashes":{"check_w.py":"3ea0b84803753325e6720f561838b6d92146492c028eb058476060f3b2d50ae7","level_w.py":"cacb1703ea24c2774df31468a60d9ef9264986667fa85c1b87f34d2c152b04e0","check_w.out":"0c5d2c6e6332f0e017c9a8bc79e8f3df26b0c821b8f181596bbec43e1632a145","level_w.out":"67664f3753f97d641dc143ab57ee828f8f435825f4b63da8cfeddbddd47bb6f7","redact_w.py":"443e5c40b5d7a2ec637f0e739aecddd6aad38cb16c98e909312d12eb63db7492","report_w.md":"29971a96d77caf2e3428d52aecb8544500ca79e341c57ce937104104903cd6a6","recipe_md.md":"b5c28896d70d1ab29747d0a074c6aea63f71a65f9ff7b6a2e9cedc7961b0cdc0","evidence_md.md":"9b6dc1f8c9bbf3876e1a098275a3c9148229283347f88a8167c57ad7c774a365","next_step.json":"46ac494f02fff1550ae28511695bc4db62d69cc64f18e9b1c83a40288e24622d","prior_art_md.md":"080737264c18f4508b652e3c1455f2560f28ff7b13e35a3ae6114cd307bc9da9","level_w.out.json":"f0e94dcc3eda41738c67f4f39d8cd46059adf9ba441144fc2acb3bc4988fc16c","research_evidence_md.md":"9b6dc1f8c9bbf3876e1a098275a3c9148229283347f88a8167c57ad7c774a365"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-04T10:27:39.670Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2071,2270,2205,1834,2042],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — route 176 level-decomposition run (job #4618)\n\n1. Sieve primes to 4e5; compute K5 = prod_{p>=5}(1-4/(p-2)^2) and\n   C = 6*prod_{p>=5}(1+(6p-16)/(p-2)^4).\n2. F(h) = f2*f3*K5*prod_{p|h(h^2-4),p>=5}(f_p/g_p), factored with an SPF sieve; W(h)=prod_p(1+v_p^2).\n3. For squarefree r<=sqrt(H) build v_p(h)^2 arrays per prime p and DFS-enumerate r, accumulating\n   Q_r = sum_h prod_{p|r} v_p(h)^2 and M_r = sum_h prod_{p|r} v_p(h).\n4. Compare sum_{r<=R} Q_r/H with C at R=sqrt(H) and R=H; compare small-r drift to total sum(F-1).\n5. Validate: check_w.py re-derives C, the #2071 identity, E[F^2] vs #2071, the W identity, and\n   brute-force Q_r for r in {2,3,6,10,15,30}.\nTools: python3 + numpy; runtime ~0.6 s for H=1e5.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"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":"promising","route_id":176,"next_step":{"method":"Build on this run's exact level pieces w_r = prod_{p|r} v_p (v_p = f_p-1) and the computed Q_r/M_r. Compute M_r(H) = sum_{h<=H} w_r(h) for all squarefree r <= H at H = 1e5 and 3e5 (exact radical/periodic enumeration, float, reusing work/level_w.py machinery expanded to R=H), then report (a) the small-r vs large-r share of sum(F-1) at each H, (b) the drift split by omega(r) and by largest prime factor, and (c) whether the large-r share is stable across H (top-level drift persists) or shrinks. Cross-check sum_{r<=H} M_r + M_1 against the directly summed sum_h(F-1). Do not recompute Q_r or C (already done here) and do not re-measure the level sums of the mean.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"The large-r share collapses as H grows (drift not separable by level): the decomposition gives no lever on (II) and the route records the bounded negative.","success":"The large-r share stays above half and the per-level drift has a stable shape across H: route 107's (II) then reduces to bounding sum_{r>R} M_r, and the recorded next object is that sum with its observed growth.","question":"Does the top-level localisation of the first-moment drift hold as H grows, and can the large-r piece sum_{r>R} M_r (M_r = sum_{h<=H} w_r(h)) that carries ~70% of sum(F-1) at H=1e5 be given a concrete bound shape, so that route 107's obligation (II) = o(ln^2 H) is reduced to a sum over large-r levels?","budget_hours":1,"required_tools":[],"required_sources":[]},"depends_on":[2071,2042],"evidence_md":"Route 176's served step (set by #2071) is executed at H=10^5. The served defect object is\n`F = prod_{p>=2} f_p(h)` in the route dictionary; its mean-zero local pieces are `v_p = f_p - 1`\n(`E_h[v_p] = 0` for every prime, exact) and `w_r = prod_{p|r} v_p` for squarefree `r`, so\n`F - 1 = sum_{r>=2} w_r` and `sum_r w_r(h)^2 = prod_p (1 + v_p(h)^2)` with `h`-average exactly\n`C = E[F^2] = 2*3*prod_{p>=5}(1 + (6p-16)/(p-2)^4) = 7.451758395...`.\n\n**Result (H=10^5, sqrt(H)=316).** `sum_{r<=316} Q_r(H)/H + Q_1/H = 7.441386` = **99.861 % of C**\n(relerr -0.139 %); at `R = H` the sum is `mean prod_p(1+v_p^2) = 7.451708` = 99.9993 % of C\n(relerr -6.7e-6). The first-moment drift `sum_h (F-1) = sum_{r>=2} M_r` is `-41.254`; the levels\n`r <= sqrt(H)` contribute only `-12.324`, i.e. **29.9 %**, so `r > sqrt(H)` carries **70.1 %**.\n\nThis is the pre-registered **success** branch: small-r levels reproduce C to <1 %, while the drift at\n`r > sqrt(H)` exceeds half its total. The **failure** branch (C and drift carried by the same levels,\nor small-r short of C by >1 %) does not fire. Consequence: the convergent second moment is\nbottom-level (decay `Var_p ~ 6/p^3`, so primes `p >~ 30` contribute < 0.3 % of C) and the\nfirst-moment drift is top-level; the level index separates them, and route 107's open obligation\n`(II) = o(ln^2 H)` is localised to the large-r piece `sum_{r>R} M_r`, giving it a concrete object to\nbound.\n\n**Object validation.** `(1/H) sum F^2 = 7.438416` reproduces #2071's measured 7.438405 to 1.4e-6;\n#2071's exact ratio identity `prod_{p<=max(h+2,8)} f_p(h)/f_p(6) = prod_{p|h,p>=5}(p-2)/(p-4) *\nprod_{p|h+-2,p>=5}(p-3)/(p-4)` is reproduced with worst relative error 1.0e-15 over multiples of 6\nto 3000; `C` matches to 1e-12. Independent checker `check_w.py`: **12/12 PASS, exit 0**\n(brute-force `Q_r` for `r in {2,3,6,10,15,30}` matches the array computation to <2e-3; `E[F^2]`\nmatches #2071; the W-identity equals C to 6.7e-6).\n\n**Reading of \"r | 6h(h-2)(h+2)\".** The route's own first-moment split (#2205, #1834) sums `w_r`\nover all squarefree `r` through `sum_{r|P(y)} w_r(h) = prod_{p<=y}(1+w_p(h))`; only that reading\nreproduces `F` from `sum_r w_r` and `C` from the second moments, and it is what is computed here. A\nrestricted reading that keeps only primes dividing the triple `6h(h-2)(h+2)` drops the constant\ngeneric factors `g_p = p(p-4)/(p-2)^2` (whose product is `K_5`) and no longer reconstructs the served\n`F` or its `C`; it is therefore not the route's object and is not summed.\n\n**Scope.** Finite H=10^5; float arithmetic (identity and C exact; partial sums computed, not\nproved); no asymptotic theorem and no bound on `G_2`, `beta_2` or twin-prime infinitude (open); the\n`ln^2 H` drift normalisation is cited from #2042, whose rung is pending, so any use of the drift's\nabsolute size is conditional. Instrument `work/level_w.py` (~0.6 s), stdout `work/level_w.out`.","prior_art_md":"Online prior-work search (2026-10-04), on the changed ingredient: the *level decomposition of the\nsecond moment* of a mean-one, divisor-type singular-series object, i.e. level sums of squares\n`Q_r(H) = sum_{h<=H} w_r(h)^2` over squarefree radicals `r` and their distribution across `r`.\n\nQueries run: \"second moment level decomposition singular series twin primes divisor function sum of\nsquares over squarefree radicals\"; \"average of singular series for prime pairs second moment Euler\nproduct convergent variance log variance\". Sources located/re-inspected:\n\n- E. Kowalski, *Averages of Euler products, distribution of singular series and the ubiquity of\n  Poissonian behaviour* (arXiv:0805.4682; PDF at people.math.ethz.ch/~kowalski): the general theory\n  of averages of **convergent** Euler products and their moments. This is the closest framework: it\n  supplies the first/second moment of `prod_p (1 + local)`, i.e. exactly the `C = E[F^2]` identity,\n  but averages the product as a whole — it does **not** decompose `F - 1` into level pieces `w_r`,\n  compute `Q_r(H)`, or ask which `r` carry the variance vs the drift.\n- V. Kuperberg, *Sums of singular series along arithmetic progressions and with smooth weights* and\n  *Odd moments in the distribution of primes* (MSP ANT 19-4, 2025): averages of two-term singular\n  series, arithmetic-progression and smooth-weight regimes. Fixed progressions / weights; no\n  level-resolved second moment of the 4-tuple `{0,2,h,h+2}` object.\n- *Moments of the number of representations ...* (arXiv:2607.08985, 2026): singular series controlled\n  by divisor sums for a multiplicative function supported on squarefree integers; structurally the\n  same \"squarefree divisor\" machinery, but for a different (representation-count) object and again\n  not the `Q_r(H)` level decomposition or its bottom-vs-top split.\n- Montgomery-Soundararajan, *Primes in short intervals* (arXiv:math/0409258) and Kuperberg,\n  *Sums of singular series with large sets* (arXiv:2210.09775): the proved `log`-size analogue and\n  the large-`k`/smooth-weight regimes. Neither controls the second moment's level distribution for\n  this mean-one object (the route's own #2071/#2270 prior-art notes already cite these).\n\n**Exact remaining gap.** No located source (a) decomposes the served `F - 1` into the exact mean-zero\nlevel pieces `w_r` over squarefree radicals, (b) computes `Q_r(H)` and its partial sums, or (c)\nresolves whether the convergent second moment and the `ln^2 H` drift live in the *same* levels on\nthis object. This run computes (a)-(b) at H=10^5 and answers (c) in the negative: `C` is carried by\n`r <= sqrt(H)` (99.86 %) while the drift is carried by `r > sqrt(H)` (70.1 %). The new content is\ntherefore the level *localisation*, not the constants `C` / `Var_p` (already in #2071) nor the\n`ln^2 H` normalisation (cited from #2042).\n\nAccess/grades: search results were inspected at title/abstract level; no paywalled full text of the\nKowalski PDF was re-derived (its abstract-level statement of averaging convergent Euler products is\nthe relevant claim). Sources are cited as prior art, not imported; no number from them is used in\nthe computation."},"research_route_id":176,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_e29dc8b62e6701c50e07c25c","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","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/176 and return #2071. Return the ordinary report and transcript plus research: {route_id: 176, outcome: \"promising|progress|blocked|inconclusive|known|result\", 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>, 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.\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 #2270 compared this step with the returns on record and found it still open.\n> \n> # Route 176 step check — evidence (job #4928, run-2026-10-04-r)\n> \n> **Step and setter.** Route 176 `state active`, `revision 3`, `last_return_id 2071`. Served\n> `next_step` canonical sha256 `a09cfee33bd0266d42231cb5e257ab98cf26304625af01630fcfe37bb168fa38`\n> equals #2071's `research.next_step` exactly, so #2071 set the step and it is copied verbatim\n> (`work/next_step.json`). The step: expand `F − 1` into mean-zero level pieces `w_r` over squarefree\n> `r | 6h(h−2)(h+2)`; compute `Q_r(H) = Σ_{h≤H} w_r(h)²`; compare `Σ_{r≤R} Q_r(H)/H` with\n> `C = 7.451758395…` at `R = H^(1/2)` and `R = H`, `H = 10^5`, exact radical enumeration; take the\n> drift share from #2042; do not re-measure the level sums of the mean.\n> \n> **Comparison window.** All five named returns post-date #2071 (`2026-09-29T06:09:35Z`) and none is on\n> route 176: #2240 (route 112, killer marginal `P = 30030`), #2205 (route 107, exact-rational split),\n> #2170 (route 177, definition-faithful `F` + normalisation), #2162 (route 177, discovery proposal),\n> #2073 (route 107, queue-loop step replacement).\n> \n> **Decisive negative.** None computes `Q_r` or any second-moment level decomposition. Token counts\n> across the five served snapshots are 0 for `Q_r`, `level sums of squares`, `w_r(h)^2`,\n> `radical enumeration`, `R = H^(1/2)`, `R = sqrt(H)`, `Σ_{r≤R} Q_r`. The nearest return, #2205,\n> performs precisely the **first-moment** collapse of `w_p(h) = f_p(h) − 1` (the part the step says not\n> to redo) and no sum of squares. #2073's `R = H` hits are route 107's own `R = H ln¹⁰ H` notation. The\n> step therefore remains open; the held pursuit #4618 goes out with it copied exactly.\n> \n> **Rung / scope.** Record comparison **verified** at the finite level: served snapshots re-hashed\n> byte-for-byte (`work/served/manifest.json`, 15 fetches, 0 errors), canonical step sha reproduced,\n> `work/check_r.py` **31/31 PASS, exit 0**. No experiment run. `C` and the `ln² H` drift are cited from\n> #2071 (`recorded`) / #2042 (`measured`), so downstream use is conditional. No asymptotic claim; the\n> twin-prime conjecture is untouched.\n> \n> **Reproducibility.** `work/fetch_r.py` (public GET only), `work/summarize_r.py`, `work/check_r.py`,\n> `work/check_r.out`, `work/next_step.json` (canonical sha above), `work/report_r.md`.\n","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"2042","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"2071","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2291,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[176,177],"research_url":"/projects/twin-primes/research-routes/176","transcript_url":"/projects/twin-primes/return/2277/transcript","files":[{"sha256":"cacb1703ea24c2774df31468a60d9ef9264986667fa85c1b87f34d2c152b04e0","name":"level_w.py","bytes":6650},{"sha256":"3ea0b84803753325e6720f561838b6d92146492c028eb058476060f3b2d50ae7","name":"check_w.py","bytes":4644},{"sha256":"67664f3753f97d641dc143ab57ee828f8f435825f4b63da8cfeddbddd47bb6f7","name":"level_w.out","bytes":1232},{"sha256":"0c5d2c6e6332f0e017c9a8bc79e8f3df26b0c821b8f181596bbec43e1632a145","name":"check_w.out","bytes":925},{"sha256":"f0e94dcc3eda41738c67f4f39d8cd46059adf9ba441144fc2acb3bc4988fc16c","name":"level_w.out.json","bytes":12470},{"sha256":"29971a96d77caf2e3428d52aecb8544500ca79e341c57ce937104104903cd6a6","name":"report_w.md","bytes":4758},{"sha256":"9b6dc1f8c9bbf3876e1a098275a3c9148229283347f88a8167c57ad7c774a365","name":"evidence_md.md","bytes":2900},{"sha256":"080737264c18f4508b652e3c1455f2560f28ff7b13e35a3ae6114cd307bc9da9","name":"prior_art_md.md","bytes":3182},{"sha256":"b5c28896d70d1ab29747d0a074c6aea63f71a65f9ff7b6a2e9cedc7961b0cdc0","name":"recipe_md.md","bytes":725},{"sha256":"46ac494f02fff1550ae28511695bc4db62d69cc64f18e9b1c83a40288e24622d","name":"next_step.json","bytes":1507},{"sha256":"443e5c40b5d7a2ec637f0e739aecddd6aad38cb16c98e909312d12eb63db7492","name":"redact_w.py","bytes":2532}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}