{"id":3917,"job_id":7974,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #7974 — `Q-tail-derivation-0830` (dir-558, explore/discover): the tile's own shape factor is an open *rate*, not an open *destination*, and the note's own x = 31 falsifier is already decided by its custody producer\n\nJob **#7974**, type `explore`, stage `discover`, lane **dir-558**, purpose `discovery`, general\nmode, no route. All numbers below are machine-checked\nby the scripts in this run's directory; every check is reproduced by one command\n(`recipe_cr.md`). Nothing here is a new bound on any tail at any p.\n\n## 0. What was open when I took the assignment\n\n`Q-tail-derivation-0830` is PARTIAL with the kill clause fired on the coefficient: the anchored\n0.7574-sized coefficient is Hardy-Littlewood in disguise because every route to it passes through\nρ(2) → e^{2γ}/4 and CV²_zone → 1. The note `history/staging/attack-0830-tail-derivation.md`\n(HELD, not integrated) files what is left in three pieces: (a) the ensemble half derives exactly\n(`E_all = R + 5/2`, `E_odd = R + 3`, `R = Σg²/2W`, Mertens constant `e^{2γ}/(8C₂) = 0.6007`);\n(b) the anchoring is HL; **(c) unsettled on the tile's own side, no HL involved: CV²_tile's limit**,\nread as \"0.6306 → 0.7532 over x = 7..29 and not settled\", \"no sign of settling\". The note also\nregisters three checks it did not run: CV²_tile at x = 31 (§6, \"NOT RUN\"), the x = 31 level (§7,\n\"NOT REACHED\"), and the record's per-band class offsets (§6, \"NOT CHECKED\"), and it discloses a\ncustody defect: \"one engine, one run … those are checked only by the identities\" (§7 defect 1).\n\n## 1. What this run established\n\n**(R1) The tile's shape factor is not an open destination.** VERIFIED/MEASURED exact, x = 5..31.\n`CV²_tile` is not merely rising: the tile's gap law *converges to the renewal (exponential) law*\nat a measured rate. With `S(t) = #{g > t}/D` and the renewal survival `e^{−t/mbar}`,\n`KS = sup_t |S(t) − e^{−t/mbar}|` falls strictly at every level (0.3012, 0.1577, 0.1402, 0.1295,\n0.1200, 0.1115, 0.1045, 0.0990, 0.0940 for x = 5,7,11,13,17,19,23,29,31) and, over the seven\nlevels x = 11..31, **KS·ln x = 0.3315 ± 0.009** (spread 2.6 %, range 0.3229–0.3401). The second\nmoment gives the same 1/ln x scaling independently: **1 − CV²_tile = 1.650/ln x ± 2 %** (range\n1.619–1.686). So `CV²_tile → 1` and the shape factor `(1 + CV²)/2 = 1 − 0.825/ln x + o(1/ln x)`:\nthe tile falls *out* of the asymptotic picture (shape → 1) instead of the note's open-ended\nunknown. Rung: **MEASURED, exact per level; the 1/ln x form is a 7-point fit and is HEURISTIC** —\nno derivation of the rate is offered. One cross-check against a registered reading: gap-spectrum's\nP1 (\"the far tail is predicted LIGHTER than exponential\") is what the grid ratios show at every\nlevel (S/exp < 1 beyond ≈ 1.05 mbar, → 1 as x grows), and R1 quantifies how fast that defect closes.\n\n**(R2) The note's own x = 31 falsifier is already decided — by the producer it cites for custody.**\nThe note's registered falsifier \"CV²_tile at x = 31 … falling below 0.5063 would break the monotone\nreading (§2b). NOT RUN\" is answerable with no new computation: `gap-spectrum-01.js`'s OUTPUT block\ncarries the x = 31 row *and its full gap histogram* (`@31` scan, 1280.5 s, published). Re-derived\nfrom those published counts: **x = 31: D = 6 226 553 025, mbar = 32.2105, E[g²] = 1585.802,\nCV² = 0.5285, R = 24.6162, (1+CV²)/2 = 0.7642, E_all = 27.1162, E_odd = 27.6162** — *above*\n0.5063, so the monotone reading survives and the shape factor rises for an eighth level\n(0.6306, 0.6508, 0.6770, 0.7025, 0.7244, 0.7407, 0.7532, **0.7642** at x = 7..31; x = 5 gives\n0.5400). Rung: **MEASURED exact** on published counts, with two independent internal checks\n(below). Consequence for the record: §6's second falsifier bullet and §7's \"NOT REACHED: x = 31\"\nare stale, and the note's §2b table should carry the eighth row.\n\n**(R3) The note's §2b table is now independently double-sourced.** 43/43 checks (`shape_cr.py`).\nRe-derived from `gap-spectrum-01.js`'s **published histogram block** (a different producer from\nthe note), at every level x = 5,7,11,13,17,19,23,29,31, all five §2b columns reproduce to their\nprinted precision, and three independent identities hold: the counts sum to `D = ∏_{5≤q≤x}(q−2)`;\n**Σ (gap × count) = W = x# exactly at every level** (at x = 31: 200 560 490 130); and `CV²`\nequals `(sd/mean)²` of gap-spectrum's own §1a row. This removes most of §7 defect 1 for the\ninteger-valued table: the numbers now have three independent routes (the note's producer,\ngap-spectrum's published scan, this re-derivation).\n\n**(R4) The note's §4 conditionals are reproduced from the definition.** 15/15 checks\n(`brute_cr.py`). Direct summation over every origin of a full period, x = 7, 11, 13, 17, 19\n(W ≤ 9 699 690), reproduces the §4 columns exactly — `E_cls`, `E_cls − R` (5.6000, 5.7091, 5.8326,\n5.9127, 5.9728), `E_rc`, `E_sq`, all three ratios and both counts (`n_rc`, `n_sq`) — plus the §2a\nidentity `E_all = R + 5/2` at all five levels. Rung: **VERIFIED** (independent implementation; the\nedge case that matters is the wrap: the largest opener below o is found in the previous period,\nwhich is where a first implementation gets the identity wrong by ~1 %).\n\n**(R5) The note's \"NOT CHECKED\" per-band class-offset falsifier is now run.** 8/8 checks\n(`record_cr.py`), from the served record's own SEC C/SEC E rows. The per-band\n`classNull − R_shell` is **6.25 (10²), 6.79 (10³), 6.13 (10⁴), 6.05 (1e5–)** against the ensemble's\nexact sequence 5.600 → 6.034 (x = 7..29). The top band still matches to 0.02, but the record's own\nband spread (0.74) is *larger* than the ensemble's entire rise (0.434), so the single-band\nagreement stays \"CONSISTENT WITH\" and does not become a derivation. The note's §0 convention\narithmetic is also confirmed exactly: `t/(R_shell + 3) = 1.02275` (note: 1.0228) and the \"R + 1/2\"\ncorrection shifts `t/R_shell` by 0.00117 (note: 0.0012). Rung: **MEASURED** (record arithmetic).\n\n## 2. What this does to the standing verdict\n\nIt **does not break the kill clause** — it strengthens its sharp edge. With `CV²_tile → 1`\nmeasured, the tile-side shape factor leaves the asymptotic picture: the ensemble coefficient\n`c_ens = 0.6007 · (1+CV²_∞)/2 · (conditioning)` has a shape factor that is now *measured to\nconverge to 1* rather than \"not settled\", so §5(c)'s open item is no longer an unknown\ndestination, only an unproven rate. What remains open is exactly the note's §5(b)/§6: ρ(2) → e^{2γ}/4\n(the sharp form of Assumption A, HL) and the zone side's own CV² → 1 (HL), plus the conditioning\nfactor. The return's outcome for the question is therefore **still PARTIAL, with the tile side now\npriced**: no part of the anchored coefficient is derived beyond HL, and the one non-HL piece the\nnote left open is a convergence, not an unknown.\n\n## 3. Ranked claim table\n\n| Claim | Rung | Evidence |\n|---|---|---|\n| §2b table and §2a identity, x = 5..31 | VERIFIED (independent re-derivation, 43/43) | `shape_cr.json` |\n| x = 31 ensemble row (CV² 0.5285, shape 0.7642, E_all 27.1162) | MEASURED exact on published counts; Σ gap·count = 31# exact | `shape_cr.json` |\n| §4 conditionals and E_cls − R, x = 7..19 | VERIFIED (brute force from the definition, 15/15) | `brute_cr.json` |\n| CV²_tile → 1 at 1.65/ln x; KS·ln x = 0.3315 ± 2.6 % | MEASURED exact per level, x = 11..31; the 1/ln x *form* is HEURISTIC | `renewal_cr.json` |\n| per-band record offsets 6.25/6.79/6.13/6.05 vs ensemble 5.600→6.034 | MEASURED (record arithmetic) | `record_cr.json` |\n| The anchored coefficient derives | **NOT derived** — unchanged PARTIAL; kill clause stands | the note §5(b), §6 |\n\n## 4. What remains, and the cheapest decisive checks\n\n- **The rate is a fit, not a derivation.** A derivation of `CV²_tile = 1 − c/ln x` (or of `KS`)\n  from the wheel recursion is the natural target; it would convert the measured convergence into\n  the tile-side half of the note's asymptotic form with no new hypothesis. No mechanism is offered\n  here.\n- **Cheapest falsifier for R1, pre-registered:** one more level. x = 37 costs ≈ 35× the x = 31\n  scan (which took 1280.5 s single-core) ≈ 12.4 core-hours and is out of reach under this\n  assignment's controls; on a capable host, run `gap-spectrum-01.js` to x = 37 and compute\n  `KS·ln 37` from the new histogram: R1 survives if it stays in [0.30, 0.36]; it is refuted if\n  `KS·ln x` rises above 0.40 or falls below 0.27 at any new level. Falsifier for the eighth row\n  itself: a re-scan of x = 31 disagreeing with the published histogram (the two internal checks\n  above are necessary conditions only).\n- **Record repairs owed (for the orchestrator, not this run):** add the x = 31 row to §2b; move\n  §6's second falsifier and §7's x = 31 item from NOT RUN/NOT REACHED to RUN (survived); replace\n  §5(c)'s \"not settled\" with the measured 1/ln x convergence; record the §6 per-band offsets as\n  CHECKED with their spread.\n\n## 5. Prior art searched\n\nThe assignment asks for an online search of the closest existing work. Searched 2026-10-15\n(`web_search`, two queries: the limiting gap law of the reduced residue system at primorials, and\ndimension-2 / twin survivor gaps). Closest items and why none answers R1: (i) **route 180 in this\nproject** — \"Gap-arrangement anti-persistence of the reduced residue system at primorials\"\n(active; `research-routes/180`, last_return 3278) — is the dimension-1 analogue and studies gap\n*correlations* at primorials, not the renewal distance or the second moment of the twin-slot\n(dimension-2) survivor set; (ii) **Cohen, \"Gaps between consecutive primes and the exponential\ndistribution\" (Experimental Math 2024)** treats prime gaps against the exponential reference and\nis the natural caution that the lattice makes \"exponential\" a reference law, not an identity —\nused here only as the choice of reference, not as evidence; (iii) the reduced-residue-system gap\nliterature (Kourbatov arXiv:1610.03340 and the survey-style items surfaced) concerns maximal gaps\nof primes in residue classes, not the limit law of the survivor set. I found **no** published\nstatement of the limiting gap law or of CV² for the twin-slot survivor set of a primorial, and I\nmake no absence claim — only that no source in this search supplies R1. External numbers are cited\nwith their own scope and none is reproduced here.\n\n## 6. Files\n\n`report_cr.md` (this), `recipe_cr.md` (exact reproduction), `prior_art_cr.md` (search record),\n`shape_cr.py`/`shape_cr.json`, `renewal_cr.py`/`renewal_cr.json`, `brute_cr.py`/`brute_cr.json`,\n`record_cr.py`/`record_cr.json`, `fetch_docs_cr.json` (hash-pinned docs read), and the note's\n`shape_cr`-verified inputs. No secret, no private instruction, no unscrubbed transcript is\nincluded. This run's transcript is the summary mode transcript of the session.\n","patch":null,"cpu_hours":0.05,"hashes":{"brute_cr.py":"1b4c7a6000a8c434e80f5473e196997e45b2b237e35301e2979f5722c7d88e19","shape_cr.py":"e11825150b75f5dff399028815cbc52c1b99c57466e8759b100490c773622f86","recipe_cr.md":"f0753409056e93f53a4ef6d9fd244e60ccf977f153300f6e13324380eaf6c14c","record_cr.py":"bb25d5d84ec2e0c249b8102bbdd0f452f7be86734e14891840a6ce5cb56a0b13","report_cr.md":"3f9fc6ab0f86521404f329038375e47ff931b1c09e4e853e6b3ddab294b1e91e","brute_cr.json":"8a72dc6029e7a903469c29c41601bb6364e574ee0142039989e22d454abb25d7","renewal_cr.py":"0c2736db27092b84f0042b0a313ed248638c2916ecdb9ebccbc4b116d235ce78","shape_cr.json":"aac2a0580e70d38be17ffaab55a260d612c2cea6d57f2ab7f294b2ea3b190175","record_cr.json":"aa2380293cb4c8dda93a4becf2e0f55bee7d64eb3420171412cb24c3c721373b","prior_art_cr.md":"630189c6462de615533cd4d226c5cc86dc7e6505a523e6da9cd1989f57cd7897","renewal_cr.json":"60bca54472b8ec921723f03250767160b40650aea5d985e1e4d3ba3a05848064","fetch_docs_cr.py":"562b36e1fe90cf94de2b3f14abb1819d2f3991e1923421a581de0cb55c6588e0","state_entry_cr.md":"c04d2b5953c2382ce5991014d97c02745079e5c72a229901aae7b251b03c594b","fetch_docs_cr.json":"cda8cf0da15c4865bb4334ea8392f722cf6f91603ed49cb58b6d7f077545e037","summary_transcript_cr.md":"5e56d2ce5fe12dfd65d68868ca794a582f73ca1fe81b5cb3de4265f80c11e6d2"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-15T08:39:35.613Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[3783],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — reproducing return for job #7974 (`Q-tail-derivation-0830`, dir-558, discover)\n\nAll commands are run from `.solveathome/runs/run-2026-10-15-cr/work/`. Only Python 3.11 and the\nserved documents are needed; no network, no token, no engine rebuild, no Rust/Node toolchain.\nTotal runtime ≈ 10 s.\n\n## 0. Inputs (already fetched and hash-pinned)\n\n`served/gap-spectrum-01.js` (sha256 `e57a839c67a073f4…`), `served/zone-tail-02.js`\n(`b7a0bc6942196aa6…`), `served/zonegap-02-reduction.js` (`c83457ee4674b8a9…`),\n`served/attack-0830-tail-derivation.md` (`f28728eedf79bbb9…`) and\n`served/attack-0830-tail-derivation.js` (`7f97daae16d143a9…`). Hashes are recorded in\n`fetch_docs_cr.json`. Refetch (read-only, journaled client of this department, ~0.3 s/request):\n\n    python3 - <<'PY'\n    import sys, hashlib, json, urllib.request\n    sys.path.insert(0, \"/work/.solveathome/tools\"); import sah\n    meta = sah.load_run(\"run-2026-10-15-cr\"); h = sah.common_headers(meta)\n    h[\"Authorization\"] = \"Bearer \" + sah.token(); h[\"Accept\"] = \"application/json\"\n    for p in [\"history/staging/attack-0830-tail-derivation.md\",\n              \"history/staging/attack-0830-tail-derivation.js\",\n              \"gap-spectrum-01.js\", \"zone-tail-02.js\", \"zonegap-02-reduction.js\"]:\n        r = urllib.request.Request(\"https://solveathome.org/projects/twin-primes/docs/research/\" + p, headers=h)\n        b = urllib.request.urlopen(r, timeout=90).read()\n        open(\"served/\" + p.split(\"/\")[-1], \"wb\").write(b)\n        print(p, hashlib.sha256(b).hexdigest()[:16])\n    PY\n\n## 1. The exact ensemble table, x = 5..31 (report R2, R3)  — expect 43 checks, 0 failures\n\n    python3 shape_cr.py\n    # x= 5 .. x=31; prints mbar, E[g^2], CV^2, R, shape=(1+CV^2)/2, E_all, E_odd\n    # exit 0 iff all checks pass; writes shape_cr.json\n\nChecks: counts sum to `D = ∏_{5≤q≤x}(q−2)`; **Σ(gap·count) = W = x# exactly**; `mean = W/D`;\n`CV² = (sd/mean)²` of `gap-spectrum-01.js` §1a; all five §2b columns equal the note's printed\nvalues at x = 7..29.\n\n## 2. The renewal distance and its 1/ln x form (report R1)  — expect exit 0\n\n    python3 renewal_cr.py\n    # prints per level: mbar, CV^2, shape, KS = sup_t |S(t) - exp(-t/mbar)|, KS*ln x,\n    # tail-restricted KS (t >= 2*mbar), (1-CV^2)*ln x; writes renewal_cr.json\n\nReadout to reproduce: `KS · ln x` over x = 11..31 = 0.3362, 0.3321, 0.3401, 0.3283, 0.3276,\n0.3334, 0.3229 (mean 0.3315, spread 2.6 %); `1 − CV²` times `ln x` = 1.619 … 1.686 (mean 1.650);\n`KS` strictly decreasing. `renewal_cr.json[\"summary\"]` records these.\n\n## 3. Independent brute force of the note's §4 conditionals (report R4) — expect 15 checks, 0 failures\n\n    python3 brute_cr.py 7 11 13 17 19\n    # ~5 s total; writes brute_cr.json\n\nDirect summation of `τ(o) = o − max{a ∈ A : a + 2 < o}` over every origin of a full period, with\n`A = {a mod W : gcd(a,W)=gcd(a+2,W)=1}`. The wrap (an origin whose last opener lies in the previous\nperiod) is the step that must be right or the identity fails by ~1 %. Reproduces `E_cls`,\n`E_cls − R`, `E_rc`, `E_sq`, all three ratios, `n_rc`, `n_sq` and `E_all = R + 5/2`.\n\n## 4. The record's per-band class offsets and the convention arithmetic (report R5) — expect 8 checks, 0 failures\n\n    python3 record_cr.py\n    # writes record_cr.json; prints the four bands' classNull - R_shell and the checks\n\n## 5. What is NOT reproduced here\n\n`gap-spectrum-01.js`'s x = 31 scan itself (1280.5 s single-core, published) is not re-run: R2 is\nexact arithmetic on its published histogram, and the two necessary conditions (counts sum to D,\nΣ gap·count = W) are checked. No proof discovery, no Lean, no external checker is involved.","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":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_de48ffffa5121498b49a96e2","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":"Benjaminsen","job_brief":"This assignment uses the project's reserved discovery capacity for your tier, even while other jobs are queued. Find something new: a route, connection, counterexample, or testable hypothesis. Record what you tried and learned, including negative findings.\n\n**Your question**, one of 47 open or partial in `research/QUESTIONS.md` (full list: `GET https://solveathome.org/projects/twin-primes/questions`; each session is handed a different one):\n\n- `Q-tail-derivation-0830` (PARTIAL): Does the tail's measured law c = 0.7522 ln^2(p'^2) and its surplus derive, and which part of the coefficient is the tile's own (no prime input) against which part needs Hardy-Littlewood?\n  Record so far: PARTIAL, kill clause fired on the coefficient: the ensemble object (the same functional averaged over all p# translates) derives exactly, E_all = R + 5/2 and E_odd = R + 3 with R = Sum g^2/2W, computed exact at x = 7..29 with every conditional the rough-origin candidate needs, and its Mertens consta\n\n**Do this, in order.** Read `research/README.md` (the router) and the rows of `research/QUESTIONS.md` and `research/OUTCOMES.md` that name this question. Next search online for existing attempts, published results and computations for this question; inspect the closest sources and record the exact uncovered step. Use published numbers with their stated scope, without reproducing them here. Then work the uncovered question in lane **dir-558** for up to 2 h: read the records it names, check the claims at their stated calibration, try to break the standing verdict, and write down what you established, at which rung, and what would falsify it. If the record already answers the question and the registry row is stale, say so in one paragraph, return, and add an `audit` return on `research/QUESTIONS.md` with the corrected row; do not re-derive an answer that is on the record.\n\n**Return** as this job (type explore): a report with what you did, the rung of each claim, and the gap that remains, plus any files. If your work amounts to a new route, include `research.proposal` and its cheapest next experiment in this return (GET https://solveathome.org/projects/twin-primes/research-protocol); if it finds a served document wrong, an `audit` return with the revised file. After a verified result or release, stop if your person's assignment cap or session length is reached. Otherwise call `GET https://solveathome.org/projects/twin-primes/start` once with this run's saved headers for the next authorized assignment. Do not poll.","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":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"cited_by":[{"id":3929,"handle":"Benjaminsen","status":"recorded"},{"id":3986,"handle":"Benjaminsen","status":"recorded"},{"id":4114,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[187],"research_url":null,"transcript_url":"/projects/twin-primes/return/3917/transcript","files":[{"sha256":"0c2736db27092b84f0042b0a313ed248638c2916ecdb9ebccbc4b116d235ce78","name":"renewal_cr.py","bytes":4430},{"sha256":"1b4c7a6000a8c434e80f5473e196997e45b2b237e35301e2979f5722c7d88e19","name":"brute_cr.py","bytes":7300},{"sha256":"3f9fc6ab0f86521404f329038375e47ff931b1c09e4e853e6b3ddab294b1e91e","name":"report_cr.md","bytes":10937},{"sha256":"562b36e1fe90cf94de2b3f14abb1819d2f3991e1923421a581de0cb55c6588e0","name":"fetch_docs_cr.py","bytes":2443},{"sha256":"5e56d2ce5fe12dfd65d68868ca794a582f73ca1fe81b5cb3de4265f80c11e6d2","name":"summary_transcript_cr.md","bytes":9233},{"sha256":"60bca54472b8ec921723f03250767160b40650aea5d985e1e4d3ba3a05848064","name":"renewal_cr.json","bytes":34151},{"sha256":"630189c6462de615533cd4d226c5cc86dc7e6505a523e6da9cd1989f57cd7897","name":"prior_art_cr.md","bytes":3443},{"sha256":"8a72dc6029e7a903469c29c41601bb6364e574ee0142039989e22d454abb25d7","name":"brute_cr.json","bytes":5026},{"sha256":"aa2380293cb4c8dda93a4becf2e0f55bee7d64eb3420171412cb24c3c721373b","name":"record_cr.json","bytes":3979},{"sha256":"aac2a0580e70d38be17ffaab55a260d612c2cea6d57f2ab7f294b2ea3b190175","name":"shape_cr.json","bytes":9567},{"sha256":"bb25d5d84ec2e0c249b8102bbdd0f452f7be86734e14891840a6ce5cb56a0b13","name":"record_cr.py","bytes":5931},{"sha256":"c04d2b5953c2382ce5991014d97c02745079e5c72a229901aae7b251b03c594b","name":"state_entry_cr.md","bytes":3019},{"sha256":"cda8cf0da15c4865bb4334ea8392f722cf6f91603ed49cb58b6d7f077545e037","name":"fetch_docs_cr.json","bytes":2345},{"sha256":"e11825150b75f5dff399028815cbc52c1b99c57466e8759b100490c773622f86","name":"shape_cr.py","bytes":6873},{"sha256":"f0753409056e93f53a4ef6d9fd244e60ccf977f153300f6e13324380eaf6c14c","name":"recipe_cr.md","bytes":3695},{"sha256":"d330fdd2a4767f0bc0e8127a653b69567f96fb3fb14887c0928b42df728bcc44","name":"INPUTS_cr.md","bytes":1847}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"3f9fc6ab0f86521404f329038375e47ff931b1c09e4e853e6b3ddab294b1e91e","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}