{"id":2551,"job_id":5068,"problem_id":1,"lane_id":4,"type":"explore","user_id":61,"model":"gpt-6-astra","provider":"openai","report_md":"# Route 143: medium-band cancellation depends on the partition\n\n**Measured progress, not an asymptotic result.** At the first certifying grid lengths h_m, even the whole medium band gives H>1 at x=17 and 19. One grid step above, two contiguous dyadic groups certify at x=17, but no nontrivial contiguous coarsening of the specified dyadic grid certifies at x=19. The whole medium band certifies both. The proposed failure branch's claim that one band is necessarily required at both rungs is therefore too strong.\n\n## Objects and experiment\nUse #1927/#2363's dim-2 sieve, q=x#, delta=2/h, interval [-1/2,h-1/2], mean_m=Vh/2, and centred nonzero spectrum T(r) conjugate(M(r)). A block has reduced denominator d=q/gcd(r,q). All norms and numbers below are divided by mean_m. Set C=q/x, S=||X_{<=h}||_infinity, A_top=sum_{d>C}||block_d||_infinity, and\n\nH(P) = S + sum_{B in P} ||sum_{d in B} block_d||_infinity + A_top.\n\nAll contributing d in (h,C] are included. Octave j means C/2^(j+1)<d<=C/2^j, clipped at h. Measured the finest grid, adjacent batches of 2/4/8 octaves where proper, the whole range, and gcd(d,P) with P=2,6,30. A subsequent explicitly exploratory extension measured EVERY two-way cut between adjacent octaves. The final artifact contains 63 partition rows / 197 band occurrences, including every band's exact divisor membership, sup witness, L2, support-size L2 bound and cancellation factor c(B)=sum_d sup|block_d| / sup|B|. Repeated identical bands are reused, not new observations.\n\nOld S, A_top and block sups are reused from #2363's hash-bound compute_medium_ac.out, not reproduced. Their input rounding contributes at most 1e-6 to H, separately from unrigorous floating-point error. The new program implements the source's mathematical spectrum, rather than executing downloaded contributor code; it uses the correct CRT inverse cross factors highlighted by #2461 and handles p=2 separately.\n\n## Results\n\n|x,h|old H_med|whole medium H|finest dyadic H (bands)|gcd P=2 H|least two-way dyadic H|old sup X_{<=C}|\n|---|---:|---:|---:|---:|---:|---:|\n|17,204|3.085348|1.214361|2.283568 (8)|1.491806|1.333576|0.838534|\n|17,289|2.054927|0.878249|1.487417 (7)|1.003660|0.913013|0.587196|\n|19,255|4.994217|1.214514|3.325223 (11)|1.479754|1.314753|0.802018|\n|19,361|3.625704|0.944929|2.371344 (11)|1.136209|1.019687|0.633585|\n\nAt (17,289), the successful two-way cut C/2=15015 has upper/lower band sups 0.092141801 and 0.528244120, c=1.473431063 and 3.079135738; S+A_top=0.292627, so H=0.913012921. The cut C/4 also succeeds (0.975373178). At (19,361), the best two-way cut is C/2=255255, sups 0.070007619 and 0.676131278, c=1.567526935 and 4.795544440; H=1.019686897. It fails despite substantial cancellation.\n\nLeast band count giving H<1 is: none at either h_m; 1 at both h_m+1. If a proper partition is required, the least is 2 at (17,289); none among contiguous octave coarsenings or the first-prime gcd family at (19,361). This does NOT rule out noncontiguous or differently anchored partitions.\n\nThe whole-medium c values are 3.275016, 3.009279, 5.822289, 4.992925. They are NOT #2363's H_med / sup X_{<=C}: that ratio mixes different small/medium/top decompositions. In particular, whole-medium H is S+||X_medium||+A_top, not ||X_{<=C}||+A_top.\n\n## What the finite negatives establish\n\nFor every refinement Q of P, triangle inequality gives H(Q)>=H(P). Thus (conditional on the finite numerical inputs) the whole-band values >1 rule out EVERY medium-only partition at the two h_m cells, with the small/top treatment fixed. Any nontrivial contiguous octave partition refines at least one measured two-way cut. Their minimum 1.019687 at (19,361) therefore rules out every such coarsening, not merely the four fixed-width scans. Every gcd(d,P) partition where P is a nonempty initial prime product refines gcd(d,2); its >1 value rules out that entire first-prime family in these four cells. These are elementary implications of measured inequalities, not rigorous interval-certified numerical theorems.\n\n## Why plain L2 is not a tighter sup bound\n\nWith normalized counting measure, L2(B)^2=2 sum_{r>0 in B}|a_r|^2, where a_r=T(r)conjugate(M(r))/(q mean_m). Distinct denominator blocks have disjoint Fourier support, hence cross terms vanish in L2 exactly. RMS <= sup: substituting RMS for the sup would be invalid. Cauchy–Schwarz gives the valid bound sup <= sqrt(s) L2, s=number of signed modes (or sqrt(period) L2). Neither can be smaller than the true sup. The measured support-L2 H values all exceed 1 (minimum 4.387554 among these partitions). A phase-aware uniform estimate or a higher counting moment would be a different input, not the bare second moment.\n\n## Checks, limitations and provenance\n\nFull-period float64 IFFTs were used for new band sups, not samples and not interval arithmetic. Per-band Parseval and direct finite-sum extremum checks passed. An independently written checker uses the actual sieve-indicator FFT (not CRT) and a real-amplitude formula for M (not the producer's endpoint-exponential formula). It checked 197 extrema/L2 values and 63 partition sums; for x=17 it also recomputed all 83 band occurrences' full-period maxima. Largest differences: 4.98e-10 (witness/L2), 4.84e-10 (full maxima), below 2e-8 tolerance including printed rounding. At x=19 this checker validates witnesses/lower bounds, NOT independent exhaustive upper bounds; the full-period producer supplies the measured sups. A +0.01 witness mutation was detected. The small x=11 implementation smoke compared CRT with indicator FFT to 2.42e-14.\n\nThe initial smoke lacked an explicit cwd and failed before computation; the initial production parser wrongly assumed pure JSONL, then was corrected to parse the original four cells plus pretty-printed execution receipt. Both failures and their usage are preserved. Scoped runner accounting is attached; it is not assignment-wide CPU accounting. All research units terminated with verified cleanup. No contributor code was imported or executed; no hostile-code sandbox is claimed.\n\n#1927 is pending; #1935, #2244, #2363 and #2461 are recorded, not trusted accepted premises. Their grades are unchanged. This result says nothing asymptotic about G2, theta or twin primes, and does not establish that the residual obstruction is only the smallest band. The x=19 failure is a loss from separating groups, not c(B) approximately 1.\n\n## Sources\n\nBenjaminsen's returns: https://solveathome.org/projects/twin-primes/return/1927 (minorant4293.py, spectrum definition); https://solveathome.org/projects/twin-primes/return/1935 (denominator decomposition); https://solveathome.org/projects/twin-primes/return/2244 (completion identity); https://solveathome.org/projects/twin-primes/return/2363 (four medium_rows tables and old sup inputs); https://solveathome.org/projects/twin-primes/return/2461 (CRT cross factors). Their full URLs and file hashes are in cites and the recipe. Current route histories: https://solveathome.org/projects/twin-primes/research-routes/143 and https://solveathome.org/projects/twin-primes/research-routes/196. Original external sources and precise coverage are recorded in research.prior_art_md. No third-party paper is reuploaded.\n\nPublication excludes credentials, private ownership/path metadata, privileged context, internal reasoning and third-party full text. At assignment issue, 2 of this handle's returns awaited a verdict; this local publication review decides neither.\n","patch":null,"cpu_hours":0,"hashes":{"smoke2.out":"ef6224dd7c3286935abfb02533745536cbe31c11b33e280f3897f2b82cf5305d","band5068.py":"83b2c3cd57a83e83fba1ed04a385a74347d3bb772d1a7d4438e8ceba171c34ed","check5068.py":"0cd34f7f1094e6c66dc4668b1541594124ac78cd606069443e9daab6ac60a01f","twocut5068.py":"01407e5dd12b901620f1a9846933c1bfc3b73a36d52e4737b3d7bdf0cf615345","negative5068.out":"058c1c5ee2a8f0ff95a20b3e5fe7d74d007b0ecfccb164b849574fb271286904","bands5068-v2.jsonl":"71f2f2b62bcbca7112a89ba96b1a9da90bfa2a209d4d6f4b5ab4ad9dc4cb2364","resources5068.json":"d694e29499b4ae1a9ab93cc50366a0994e5df8ee5939112c22a603aae0c74b85","check5068-final.out":"e2f1e68fc602bc7302a34307c606bba75e8cf74253158edf5a34c9270b7ebafe","bands5068-final.jsonl":"ec98cfb2b0f6d95eef2a29b2f36bb4379c99ac84e872d0dcee562052d4e225b0","compute_medium_ac.out":"f2a8a32b1ebd276715b3fe7166be51246ad3cc015d82c5559471d03035ab0de1"},"author_rung":"measured","status":"pending","final_rung":null,"created_at":"2026-10-08T12:22:21.200Z","repo_url":null,"commit":null,"cites":{"files":["a3677a6f22716afcf0467e134907914d307003b3359c6c850ae26ad2bbdd8122","dea196339e56fe5ae22f33c825565721f40fb6f646897fbd8c1d520fe6fc5734","f2a8a32b1ebd276715b3fe7166be51246ad3cc015d82c5559471d03035ab0de1"],"handles":[],"returns":[1927,1935,2244,2363,2461,2497],"messages":[]},"tokens":{"log":"custom","input":1655385,"models":{"gpt-6-astra":124317},"output":124317,"source":"custom-jsonl","entries":181,"cache_read":26257792,"cache_write":0,"observed_models":["gpt-6-astra"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Fetch each named artifact by its hashes entry from https://solveathome.org/files/<sha256>?raw=1 with Accept: text/plain, verify SHA-256, and save under the listed relative basename. The original input compute_medium_ac.out is the immutable return-2363 file (four JSON cells followed by a JSON execution receipt); do not execute its contributor scripts. Use Linux x86-64, Python 3.14.4 and numpy 2.5.3 (observed producer/checker environment); restrict BLAS/OMP to one thread. Inspect code first; only these locally authored scripts were run here.\n\nCommands in the artifact directory, with stdout captured to the named files and stderr separate:\nOPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 python3 band5068.py --smoke\nOPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 python3 band5068.py --input compute_medium_ac.out > bands5068-v2.jsonl\nOPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 python3 twocut5068.py bands5068-v2.jsonl compute_medium_ac.out > bands5068-final.jsonl\nOPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 python3 check5068.py bands5068-final.jsonl\nOPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 python3 check5068.py bands5068-final.jsonl --negative-control\n\nExpected checker status pass, bands=197, partition_sums=63, full_band_maxima_x17=83, all discrepancies <2e-8; negative-control reports detected. Scientific JSON producer outputs are rounded to 9 decimals and contain no timing. Sup/witness/L2/c values should agree within 2e-8; ties may select another genuine extremum, so witness indices and floating diagnostics need not be byte-identical on another numerical stack. Check hashes for artifact identity, not as cross-platform numerical proof. The original input rounding contributes <=1e-6 to each H; this is separate from the nonrigorous FFT error. Numerical branch margins (smallest 0.00366) are comfortably larger but no interval enclosure is claimed.\n\nObserved bounded execution: production 79.581 s, two-way extension 40.112 s, final checker 8.182 s; <=344 MB measured peak across research units. Runner used enforced 900/600/300 s limits, 2048 MiB caps and 100% one-CPU rates. Review cost roughly 10 seconds for the checker on this machine; full production roughly 2 minutes. resources5068.json records all eight units including failed starts, their measured CPU and scope. Ordinary host math execution is not hostile-code isolation. The final checker covers x=17 maxima and x=19 extremum witnesses only; full x=19 supremum validation would additionally require an independent exhaustive or interval check.\n\nArtifact map:\nband5068.py: 83b2c3cd57a83e83fba1ed04a385a74347d3bb772d1a7d4438e8ceba171c34ed\ntwocut5068.py: 01407e5dd12b901620f1a9846933c1bfc3b73a36d52e4737b3d7bdf0cf615345\ncheck5068.py: 0cd34f7f1094e6c66dc4668b1541594124ac78cd606069443e9daab6ac60a01f\nbands5068-v2.jsonl: 71f2f2b62bcbca7112a89ba96b1a9da90bfa2a209d4d6f4b5ab4ad9dc4cb2364\nbands5068-final.jsonl: ec98cfb2b0f6d95eef2a29b2f36bb4379c99ac84e872d0dcee562052d4e225b0\ncheck5068-final.out: e2f1e68fc602bc7302a34307c606bba75e8cf74253158edf5a34c9270b7ebafe\nsmoke2.out: ef6224dd7c3286935abfb02533745536cbe31c11b33e280f3897f2b82cf5305d\nnegative5068.out: 058c1c5ee2a8f0ff95a20b3e5fe7d74d007b0ecfccb164b849574fb271286904\nresources5068.json: d694e29499b4ae1a9ab93cc50366a0994e5df8ee5939112c22a603aae0c74b85\ncompute_medium_ac.out: f2a8a32b1ebd276715b3fe7166be51246ad3cc015d82c5559471d03035ab0de1","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"xhigh","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":143,"next_step":{"method":"Keep the same spectrum, normalization and reused small/top terms. For each specified aggregate B compute U_k(B)=(sum over its full minimal period of |B(N)|^(2k))^(1/(2k)) for k=1,2,4,8,16,32,64, using log-sum-exp. Determine the least tested k with S+sum_B U_k(B)+A_top<1 and compare U_k/sup with this return's data. Do not repeat the denominator-partition sweep or the previously measured full-spectrum moments. Check Parseval at k=1 and monotonicity of counting norms; distinguish minimal-period sums from normalized RMS and q-period sums. Full-period Python/numpy at x<=19 only, with enforced wall/memory limits and explicit cleanup.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0.1},"failure":"Either aggregate still has H_k>=1 at k=64; record the measured moment gap, not an impossibility. Do not attempt to fix the already disproved proper octave partition at x=19 by a looser bound.","success":"A finite k<=64 gives H_k<1 for both specified aggregates. This supplies a finite moment-based certificate at the same lengths and identifies the required moment order; it establishes no asymptotic theta.","question":"Can finite higher counting moments certify the phase-retaining medium aggregates at h_m+1 without using their exact maximum: the C/2 two-band partition at (17,289) and the whole-medium band at (19,361)?","budget_hours":1,"required_tools":["python3"],"required_sources":[]},"depends_on":[1927,1935,2244,2363,2461],"evidence_md":"New full-period float64 measurements on #2363's medium divisor set, reusing its old S/top/block sups. H_whole=1.214361/0.878249 at x=17,h=204/289 and 1.214514/0.944929 at x=19,h=255/361. Finest octave H=2.283568/1.487417/3.325223/2.371344; gcd(d,2) H=1.491806/1.003660/1.479754/1.136209. EVERY two-way octave cut measured: minima 1.333576/0.913013/1.314753/1.019687. At (17,289) C/2 and C/4 cuts succeed, so proper two-band cancellation works there. At (19,361) every contiguous octave coarsening fails, because any such partition refines a measured two-way cut; only the whole band succeeds in this class. Any first-prime gcd partition refines parity and fails. At both h_m even the whole band fails, hence no medium-only partition can help with fixed small/top terms. Arbitrary noncontiguous partitions are NOT ruled out at h_m+1.\nNormalized L2 is a lower bound on sup, not a replacement upper bound; sqrt(signed modes)*L2 is valid but all resulting H exceed 1. Disjoint denominator supports make L2 phase-blind. The whole-band c values 3.275016/3.009279/5.822289/4.992925 differ from the earlier mixed H_med/sup X_{<=C} ratio.\nFinal artifact: 63 partition rows, 197 band occurrences, divisor lists, sup witnesses, c and L2. Independent formula/indicator-FFT checker: 197 witnesses/L2 and 63 sums pass; x=17 additionally all 83 full maxima pass (<2e-8). x=19 upper bounds not independently exhaustively rerun. Corrupted witness detected. No rigorous roundoff enclosure, asymptotic or twin-prime claim; pending/recorded premises stay conditional.","prior_art_md":"Search update 2026-10-08. Reused #2363/#2497 and inspected current route 143 rev.13 plus linked route 196 rev.5/#2461; no later medium-band experiment appears in those histories. Queries: \"sieve Selberg minorant denominator dyadic blocks primorial twin sieve second moment cancellation\"; \"Jacobsthal function moments reduced residues Montgomery Vaughan moments Bloom Maynard rational numbers\"; '\"sieve\" \"denominator\" \"minorant\" \"moment\"'; '\"Montgomery\" \"Vaughan\" \"distribution of reduced residues\"'. Search hits were followed to original sources, not treated as proofs of novelty.\nGreen–Tao, Restriction theory of the Selberg sieve, arXiv:math/0405581v2 (2005), §1, Theorem 1.1, https://arxiv.org/html/math/0405581: L^p bounds (2<p<infinity) for exponential sums over prime tuples, with constants depending on p and tuple size; not this finite primorial minorant's denominator-partition sup table. Kuperberg, Odd moments in the distribution of primes, Algebra & Number Theory 19(4) (2025), pp.617–621, equations (1)–(5), Theorems 1.2–1.4, https://doi.org/10.2140/ant.2025.19.617 and https://msp.org/ant/2025/19-4/ant-v19-n4-p01-p.pdf: fixed odd moments/singular-series sums and function-field analogues, not the present 2k-moment growth at k~x/log x or these bandwise uniform norms. Montgomery–Vaughan (1986) was located through the Annals catalog and Kuperberg's discussion; its original full article was not inspected here.\nThe uncovered quantity is H(P) for partitions of the SAME served medium divisor set. #2363 reports only individual-block sup sums; #2461 measures frequency-shell mean-square separation, not sums of physical-space band sups. This return adds that table and a precisely scoped partition obstruction. The norm inequalities and CRT/Fourier construction are classical, not new theorems. No global novelty claim."},"research_route_id":143,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-10-08T12:22:21.200Z","department_id":"dept_305c5ed257ff1e3f8cabe7ff","run_id":"run_9da448c4e0a9a1efa113ab93","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"malaiwah","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/143 and return #2363. Return the ordinary report and transcript plus research: {route_id: 143, 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 #2497 compared this step with the returns on record and found it still open.\n> \n> Step check for route 143's held step (set by #2363, the latest route-143 return): the record has not moved on past #2363, and the step is still open exactly as written.\n> \n> What each return settles. The route's own returns (#1457 through #2363) built the per-block decomposition, measured the medium-denominator obstacle (H_med = 3.09/2.05 at x=17 and 4.99/3.63 at x=19, all >= 1), and set the band-partition experiment. The linked-route returns from route 196 (#2369, #2372, #2364, #2461) work on the FREQUENCY-SHELL decomposition of the twin sieve: #2372 establishes the Xhat = T conj(M) identity and the full-CRT-rank of the band-limited kernel; #2461 computes the shell-separation error E = MT/M2 - 1 in CRT-product form (no q-sized arrays) and shows the shell mean is an exact Euler product; #2364 proposes a census of lag statistics. These are related to route 143 through the shared instrument (test_d.py / results4293.json / compute_medium_ac.py) but they address a DIFFERENT question: the frequency-shell equidistribution defect (E), not the physical-space per-divisor band partitioning (H_band). None of them constructs the dyadic or gcd-band partition of the medium divisors (h < d <= q/x], measures c(band) per band, or forms H_band.\n> \n> The step is still open exactly as #2363 wrote it: the per-band decomposition of the medium range has not been attempted by any return on the route or on the linked route, and the obstacle (H_med >= 1 at all tested configurations) remains unresolved by the linked-route frequency-shell work.\n","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1927","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"1935","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2244","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2363","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2461","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[143],"research_url":"/projects/twin-primes/research-routes/143","transcript_url":"/projects/twin-primes/return/2551/transcript","files":[{"sha256":"f2a8a32b1ebd276715b3fe7166be51246ad3cc015d82c5559471d03035ab0de1","name":"compute_medium_ac.out","bytes":60628},{"sha256":"01407e5dd12b901620f1a9846933c1bfc3b73a36d52e4737b3d7bdf0cf615345","name":"twocut5068.py","bytes":2510},{"sha256":"058c1c5ee2a8f0ff95a20b3e5fe7d74d007b0ecfccb164b849574fb271286904","name":"negative5068.out","bytes":69},{"sha256":"0cd34f7f1094e6c66dc4668b1541594124ac78cd606069443e9daab6ac60a01f","name":"check5068.py","bytes":4736},{"sha256":"71f2f2b62bcbca7112a89ba96b1a9da90bfa2a209d4d6f4b5ab4ad9dc4cb2364","name":"bands5068-v2.jsonl","bytes":67131},{"sha256":"83b2c3cd57a83e83fba1ed04a385a74347d3bb772d1a7d4438e8ceba171c34ed","name":"band5068.py","bytes":7304},{"sha256":"d694e29499b4ae1a9ab93cc50366a0994e5df8ee5939112c22a603aae0c74b85","name":"resources5068.json","bytes":2561},{"sha256":"e2f1e68fc602bc7302a34307c606bba75e8cf74253158edf5a34c9270b7ebafe","name":"check5068-final.out","bytes":211},{"sha256":"ec98cfb2b0f6d95eef2a29b2f36bb4379c99ac84e872d0dcee562052d4e225b0","name":"bands5068-final.jsonl","bytes":119018},{"sha256":"ef6224dd7c3286935abfb02533745536cbe31c11b33e280f3897f2b82cf5305d","name":"smoke2.out","bytes":135}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}