From 4ac6e9b68ebe7c7e460a31d1fe2539d12fd491e8 Mon Sep 17 00:00:00 2001 From: Gonzalo-Mier Date: Sat, 17 Oct 2026 23:21:32 +0200 Subject: [PATCH 1/2] Add verified T16 evacuation packing improvement --- .../CANDIDATE.json | 59 + .../DIFF-vs-predecessor.json | 4729 + .../README.md | 77 + .../SEARCH.json | 131 + .../SOURCES.json | 276 + .../TASK.json | 78 + .../VERIFY.json | 62 + .../data/OWNERS.json.gz | Bin 0 -> 834615 bytes .../data/PLAN.json | 85661 ++++++++++++++++ .../data/SPEC.json | 1975 + .../evidence/CEILING.json | 281 + .../evidence/CHECK.json | 2408 + .../evidence/REPLAY.json | 111 + .../verify.py | 223 + 14 files changed, 96071 insertions(+) create mode 100644 research/complex-t16-evacuation-increment/CANDIDATE.json create mode 100644 research/complex-t16-evacuation-increment/DIFF-vs-predecessor.json create mode 100644 research/complex-t16-evacuation-increment/README.md create mode 100644 research/complex-t16-evacuation-increment/SEARCH.json create mode 100644 research/complex-t16-evacuation-increment/SOURCES.json create mode 100644 research/complex-t16-evacuation-increment/TASK.json create mode 100644 research/complex-t16-evacuation-increment/VERIFY.json create mode 100644 research/complex-t16-evacuation-increment/data/OWNERS.json.gz create mode 100644 research/complex-t16-evacuation-increment/data/PLAN.json create mode 100644 research/complex-t16-evacuation-increment/data/SPEC.json create mode 100644 research/complex-t16-evacuation-increment/evidence/CEILING.json create mode 100644 research/complex-t16-evacuation-increment/evidence/CHECK.json create mode 100644 research/complex-t16-evacuation-increment/evidence/REPLAY.json create mode 100644 research/complex-t16-evacuation-increment/verify.py diff --git a/research/complex-t16-evacuation-increment/CANDIDATE.json b/research/complex-t16-evacuation-increment/CANDIDATE.json new file mode 100644 index 0000000000..d33c7388a4 --- /dev/null +++ b/research/complex-t16-evacuation-increment/CANDIDATE.json @@ -0,0 +1,59 @@ +{ + "claim_type": "conditional T16 owner-packing improvement", + "word_and_suppliers": "Fixed selected PR1094 word, gauge44 complex supplier, and unchanged PR589 bit supplier.", + "predecessor_kappa": "0.001673614205725695", + "expected_updates": { + "gain_baseline_kappa": "0.001636241501576388", + "complex_lower": "838212092705151621517/500000000000000000000000", + "conservative_complex_lower": "167642418254791971833/100000000000000000000000", + "kappa": "209202311361877/125000000000000000", + "assembly_controls_rejected": 69, + "provider_counts": { + "gauge44": 144 + }, + "mutations_rejected": 15, + "hosted_residuals": 69120, + "rank_mass": 1041408, + "actual_73column_sigmas": 10008, + "cross_replica_helper_roles": 57417, + "idle_remainders": 7394, + "idle_remainder_profile": { + "1": 2392, + "2": 8, + "3": 110, + "7": 2, + "16": 2, + "48": 4880 + }, + "global_profile": { + "1": 349720, + "2": 60200, + "3": 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a/research/complex-t16-evacuation-increment/README.md b/research/complex-t16-evacuation-increment/README.md new file mode 100644 index 0000000000..9e6e54706d --- /dev/null +++ b/research/complex-t16-evacuation-increment/README.md @@ -0,0 +1,77 @@ +# T16 owner-packing improvement from an OR-Tools evacuation neighbourhood + +This package records a **conditional packing gain**, not a new word, supplier, +mechanism, or multiplication theorem. On the same selected PR1094 T16 word and +both unchanged suppliers, a finite OR-Tools CP-SAT large-neighbourhood search +found an owner map with exact **κ = 0.001673618490895016**. The immediately +preceding map had κ = 0.001673614205725695, so the increase is +**4.285169321 × 10⁻⁹** (0.0002560428% relative). The map changes 163 rows of its +predecessor: 142 helper relocations and 21 offset-only edits. + +The exact selected-word ceiling from `complex-local-word-ceiling/ceiling.py` is +`a_hi = 0.001690054109089`, giving `κ < a_hi/(1+a_hi) = +0.001687202645325402…`. This candidate realizes **99.194871%** of that κ +ceiling. The gain closes 6.589632% of the κ gap from the selected PR1094 map to +this ceiling. These are ceilings for the fixed word, template, +coverage law, and halving guard. They do not bound other words or changed +mechanisms. + +The inherited exact packing certificate still proves at most 4,887 empty +capacity-48 bins and `Σ f ln(f) ≤ 908,139.013`; this candidate has 4,880 such +bins and `Σ f ln(f) = 907,279.723`. That surrogate certificate is not a κ +optimality proof. The CP-SAT run ended `FEASIBLE` with objective 10,463,952 and +solver bound 10,540,812. Exact κ and legality came from independent replay and +pricing, not from the solver objective. Later evacuation, relocation-cost, +single-call, and time-window neighbourhood rounds did not improve the exact κ. +The finite search does not establish an optimum. + +## Verification + +The verifier reconstructs the candidate from the predecessor's compressed +owner rows plus `DIFF-vs-predecessor.json`, regenerates `OWNERS`, `PLAN`, and +`SPEC` through the existing builder, then runs the unchanged strict T16 replay. +It also runs the independent seed67 owner audit, prices both suppliers with the +pinned engines and PR1069 sweep, calls the exact word-ceiling routine, and runs +the exact-integer packing-ceiling checker. The strict replay recomputes the +73-column chart count as 10,008. + +From the repository root, run: + +```sh +python3.12 scripts/research_package.py --package research/complex-t16-evacuation-increment --check-only +python3.12 scripts/research_package.py --package research/complex-t16-evacuation-increment +``` + +The search used OR-Tools 9.11.4210 with Python 3.10.12. Reproducing the search +itself requires the pinned research environment described in `SEARCH.json`; +the registered verifier deliberately replays and audits the candidate without +running an optimizer. + +## Search overlap + +The most recent complete local PR/discussion overlap snapshot was fetched on +2026-10-17 at 19:54 UTC (310 open PRs and 2,095 discussions). It showed no +matching open T16 owner-map/selected-packing PR; nearby open work concerned +T740 or T16 audit tooling. Network/DNS failures prevented a newer live refresh +during packaging, so this snapshot is evidence of the check performed, not a +claim that overlap is impossible. See `SEARCH.json` and rerun the live overlap +check before relying on novelty. + +## Open next questions + +The structured questions are in `TASK.json`. The most direct OR-Tools follow-up +is to price residual bins with the exact supplier engines and use those prices +to guide adaptive CP-SAT neighbourhoods. This candidate improved exact κ even +though its `Σ f ln(f)` surrogate is higher than its predecessor's, so the +surrogate can mis-rank nearby maps. First derive stable scaled marginal costs +for the residual profile, then compare those neighborhoods against the current +best using strict replay. A proof-quality bound on the remaining κ gap is still +open. + +## Credit + +The predecessor packing, builder, exact checkers, strict replay, and proof +retain their original authorship and notices. This incremental map and search +record were prepared by OpenAI Codex at the user's direction with substantial +AI assistance. No independent human review is claimed. New package material is +Apache-2.0. diff --git a/research/complex-t16-evacuation-increment/SEARCH.json b/research/complex-t16-evacuation-increment/SEARCH.json new file mode 100644 index 0000000000..8b914d5fd0 --- /dev/null +++ b/research/complex-t16-evacuation-increment/SEARCH.json @@ -0,0 +1,131 @@ +{ + "scope": "Finite OR-Tools CP-SAT large-neighbourhood search for an improved legal owner map on the fixed selected PR1094 T16 supplier and word.", + "claim_type": "Conditional packing improvement only. This is a search best, not an optimum or complete multiplication theorem.", + "result": { + "predecessor_kappa": "0.001673614205725695", + "candidate_kappa": "0.001673618490895016", + "absolute_delta": "4.285169321E-9", + "relative_delta": "0.00000256042838686464777095642507160470540321556562816905590345767", + "changed_rows_vs_predecessor": 163, + "relocated_rows": 142, + "offset_only_rows": 21, + "idle_profile": { + "1": 2392, + "2": 8, + "3": 110, + "7": 2, + "16": 2, + "48": 4880 + }, + "surrogate_E": 907279.723, + "empty_cap48_bins": 4880, + "proven_max_empty_cap48_bins": 4887, + "packing_surrogate_ceiling": 908139.013, + "actual_73column_charts": 10008 + }, + "best_run": { + "command": "env OMP_NUM_THREADS=1 NW=2 DIV=0 TL2=30 NB=60 python3.10 research/complex-t16-two-stage-cycles/search/lns2.py research/complex-t16-two-stage-cycles/search research/complex-t16-two-stage-cycles/data/OWNERS.json.gz /tmp/t16-evac-small 1 20261019 300 evac 2", + "solver": "OR-Tools 9.11.4210 CP-SAT", + "python": "3.10.12", + "numpy": "2.2.6", + "scipy": "1.15.3", + "neighborhood": { + "bins": 65, + "helpers": 173, + "variables": 3508, + "time_limit_seconds": 300 + }, + "status": "FEASIBLE", + "objective": 10463952, + "best_bound": 10540812, + "wall_seconds": 330.3, + "note": "The integer surrogate objective was not the acceptance criterion; only exact replay and exact pricing accepted a map." + }, + "other_searches": [ + { + "route": "Aggregate full-map winlp target, 66,140 variables", + "outcome": "FEASIBLE surrogate 908133.1032 vs solver bound 908155.8984; downstream guided realization exhausted memory at 27,699 bins; no candidate." + }, + { + "route": "Guide / single-class LNS", + "outcome": "Local guide UNKNOWN; single-class rounds UNKNOWN or optimal without exact-kappa gain." + }, + { + "route": "Post-winner evacuation neighbourhoods, 90 and 65 bins", + "outcome": "FEASIBLE candidates, no exact-kappa improvement." + }, + { + "route": "Plateau neighbourhood families: evacuation (6 rounds), rc (3), call 0 (3), randomized time windows (12)", + "outcome": "No exact-kappa improvement; legal alternative maps existed." + } + ], + "overlap": { + "method": "Repository overlap helper and fully paginated PR/discussion snapshot.", + "snapshot": "/tmp/research-loop-overlap.json, fetched 2026-10-17 19:54 UTC; 310 open PRs and 2,095 discussions.", + "finding": "No matching open T16 owner-map/selected-packing PR in that snapshot; nearby open work was on T740 or T16 audit tooling.", + "limitation": "The local full snapshot is the latest usable overlap artifact. A pre-submission git fetch failed with DNS error `Could not resolve host: github.com`; GitHub API access and available browsing returned no usable live PR/discussion inventory. Treat the negative match as time-bounded, not proof of novelty.", + "pre_submission_attempts": [ + "git fetch --no-tags origin main in the isolated submission clone: failed because github.com did not resolve", + "GitHub REST API open-PR/discussion URLs: inaccessible through the available web reader" + ] + }, + "interpretation": { + "word_ceiling": "ceiling.ceiling() gives a_hi = 0.001690054109089; under kappa < a/(1+a), the kappa ceiling is about 0.001687202645325402.", + "fraction_of_kappa_ceiling": "0.99194871198902958766575607143578602999758455859606", + "proved_packing_ceiling": "The unchanged exact checker proves E <= 908139.013 and at most 4,887 empty cap-48 bins; neither statement is a kappa optimality bound.", + "fraction_of_selected_to_ceiling_gap_closed": "0.0658963196377817987102974155083040295071362586" + }, + "moment_cost_probe": { + "status": "Exploratory local-only negative result; no later OR-Tools search justified by these runs.", + "idea": "On a copy of lns2.py, minimize the separable complex moment contribution f*(73/f)^a per bin at the incumbent endpoint a=0.001676424185410303243034, rounded to integer coefficients; exact supplier pricing decides acceptance.", + "reproducibility": "The copied experimental edit was not retained in the package. These probes are not required to reproduce the shipped map or its verification.", + "runs": [ + { + "mode": "evac", + "seed": 20261020, + "bins": 135, + "helpers": 410, + "variables": 11441, + "coefficient_scale": 1000000000, + "status": "FEASIBLE", + "objective": 134698962470, + "incumbent_objective": 134698962470, + "best_bound": 134677813389, + "seconds": 298.9, + "exact_kappa": "0.001673618490895016", + "outcome": "No strict objective improvement; no candidate accepted." + }, + { + "mode": "rc", + "seed": 20261021, + "bins": 224, + "helpers": 556, + "variables": 5521, + "coefficient_scale": 1000000000, + "status": "FEASIBLE", + "objective": 220861301787, + "incumbent_objective": 220722797217, + "best_bound": 220566749151, + "seconds": 135.4, + "candidate_kappa": "0.001673573431572098", + "outcome": "The candidate had lower exact kappa and was rejected." + }, + { + "mode": "evac", + "seed": 20261022, + "bins": 50, + "helpers": 124, + "variables": 1674, + "coefficient_scale": 1000000000000, + "status": "FEASIBLE", + "objective": 320577984465754, + "incumbent_objective": 320577984465754, + "best_bound": 320577984465753, + "seconds": 330.3, + "exact_kappa": "0.001673618490895016", + "outcome": "Plateau map had the same exact kappa." + } + ], + "conclusion": "This small sample does not establish local optimality. It shows no utility for spending more search budget on this objective/neighbourhood combination now." + } +} diff --git a/research/complex-t16-evacuation-increment/SOURCES.json b/research/complex-t16-evacuation-increment/SOURCES.json new file mode 100644 index 0000000000..c6dc323d01 --- /dev/null +++ b/research/complex-t16-evacuation-increment/SOURCES.json @@ -0,0 +1,276 @@ +{ + "schema_version": 1, + "base_commit": "463113d675af7410ac91d53a4fed51ec6494eb9a", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81", + "sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "67f085acd86acd7d4e03922d9cf4b26bca66fed5", + "sha256": "47b42433f5a85809a3aadd29c2c339da2c6ed728e4f7762df6b88bccb7874cf0" + }, + { + "path": "research/community-frontier1094-audit/ASSEMBLY.json", + "usage": 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selected packing?", + "starting_points": [ + "certificates/selected-result.json", + "research/heterogeneous-owner-assembly/README.md", + "research/complex-local-word-ceiling/README.md" + ], + "methods": [ + "Search a named unclaimed canonical candidate domain with a reproducible partition.", + "Prove a stronger scoped relaxation or exact optimum for one named residual subproblem." + ], + "acceptance_gate": "Check live PR overlap first, price both suppliers and distinguish a search best from an optimum. Report the word's packing cap from ceiling.ceiling() and the fraction of it realized; label packing gains as such.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Locate the selected packing source in the review and check live PRs for the same residual problem.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Define an unclaimed canonical domain and a favorable bound before starting a new search.", + "bottleneck_link": "An actual paid-profile gain can improve the frontier up to the other supplier cap.", + "allowed_variations": [ + "One bounded residual packing instance or exact relaxation.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Rerunning an existing search with only a different seed as a separate mathematical contribution." + ], + "overlap_terms": [ + "T16", + "owner exchange", + "packing" + ], + "existing_checks": [ + { + "scope": "Packing-independent ceiling for the selected paid profile under the one-unpaid-coordinate coverage and halving guard.", + "evidence": "docs/research/community-efficient1000-review.md", + "remaining": "A changed word or model requires new pricing; a local packing search must name uncovered scope.", + "status": "reviewed", + "source_commit": "836b19bfa309ceafbc8ee32a15e8c4b10dde7e11", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + "scope_status": "unchanged", + "actual_scope": "Is there a genuinely unsearched, explicitly bounded improvement to the selected packing?", + "scope_change_reason": null, + "bottleneck_link": "A better owner packing changes the idle residual profile of the fixed complex supplier and therefore improves its exactly priced endpoint, while staying below the same word-level ceiling. The bit supplier, local word, coverage law, template, and outer guard remain fixed.", + "budget_minutes": 540, + "stop_rule": "Keep the best exact-kappa map, then stop this bounded session after strict and independent replay and 24 subsequent evacuation/relocation/call/time-window neighbourhood rounds fail to improve exact kappa. This is a search stop, not an optimality criterion.", + "outcome": "completed", + "evidence": "SEARCH.json and evidence/: an OR-Tools CP-SAT evacuation neighbourhood produced a strict-replayed candidate at exact kappa 0.001673618490895016, up 4.285169321e-9 (0.0002560428% relative) over the immediately preceding map. The independent seed67 audit, exact pricing of both suppliers, PR1069 sweep, and unchanged 11-stage strict replay pass with controls 69/12/6/15. ceiling.ceiling() gives a_hi=0.001690054109089 and implied kappa ceiling 0.001687202645325402; the candidate realizes 99.194871% of that ceiling. The exact packing certificate remains E<=908139.013 and at most 4,887 empty cap-48 bins (candidate: 4,880); it is not a kappa bound. No optimum is claimed. The 2026-10-17 19:54 UTC overlap snapshot showed no matching open T16 packing PR, but a newer live refresh was unavailable during packaging.", + "author": "OpenAI Codex (user-directed; donor name not recorded)", + "ai_assistance": "Substantial OpenAI Codex assistance: OR-Tools search orchestration, candidate packaging, documentation, and verifier integration. OR-Tools 9.11.4210 supplied the CP-SAT solver; exact replay, independent pricing, and ceiling checks supplied the acceptance evidence. No independent human review is claimed.", + "open_questions": [ + { + "question": "Can exact supplier marginal costs guide adaptive CP-SAT neighbourhoods better than the sum f ln(f) surrogate?", + "why_it_matters": "The accepted map has higher surrogate E than its immediate predecessor despite a higher exact kappa, so the current proxy can mis-rank nearby packings.", + "first_step": "Derive scaled marginal prices from the pinned exact engines for a bounded set of residual-profile changes, then use them to rank or weight candidate evacuation neighbourhoods and strict-replay every new best.", + "blocked_by": "The exact pricing function couples the aggregate residual profile nonlinearly; a stable integer objective or a safe linearization for CP-SAT has not yet been derived." + }, + { + "question": "Can the fixed-word kappa ceiling be tightened to a certificate on the remaining gap, or can a concrete packing approach it further?", + "why_it_matters": "The current candidate realizes 99.194871% of the word ceiling, but the ceiling is an endpoint relaxation rather than a packing optimum, and seven more empty cap-48 bins remain possible under the coarse packing certificate.", + "first_step": "Price the exact bound-attaining and near-bound idle profiles, then formulate a small residual-class CP-SAT model with exact post-pricing of its realized maps.", + "blocked_by": "The current E and empty-bin bounds do not imply a kappa bound or a realizable owner map." + } + ] +} diff --git a/research/complex-t16-evacuation-increment/VERIFY.json b/research/complex-t16-evacuation-increment/VERIFY.json new file mode 100644 index 0000000000..f876d0368a --- /dev/null +++ b/research/complex-t16-evacuation-increment/VERIFY.json @@ -0,0 +1,62 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/community-frontier1094-audit/ASSEMBLY.json", + "research/community-frontier1094-audit/selected-replay.tar.gz", + 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"research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/RESIDUAL-ADAPTERS.json", + "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/SCALAR-FRAME-AUDIT.json", + "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/WRAPPER-CHECKS.json", + "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/work/complex-nine-native/DATA-PHASES.json", + "research/community-k492-audit/pr622/replay/baseline558/complex-global/controller-input/split-centres/CANONICAL-WORD.json.gz", + "research/complex-k492-owner-repair/vendor/multicold/code/run_portable.py", + "research/complex-k492-owner-repair/vendor/multicold/engines/base_two_moment.py", + "research/complex-k492-owner-repair/vendor/multicold/engines/moment.py", + "research/complex-k492-owner-repair/vendor/multicold/engines/outer.py", + "research/complex-k492-owner-repair/vendor/multicold/inputs/PR543-EXPECTED.json", + "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-global/vendor531/code/prepare_supplier_base.py", + "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json", + "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-global/vendor535/inputs/ROUND20-PARENT-TEMPLATE.json.gz", + "research/complex-local-word-ceiling/ceiling.py", + "research/complex-t16-rare-pattern-exchanges/data/OWNERS.json.gz", + "research/complex-t16-rare-pattern-exchanges/data/PLAN.json", + "research/complex-t16-rare-pattern-exchanges/data/SPEC.json", + "research/complex-t16-rare-pattern-exchanges/upstream1087.tar.gz", + "research/complex-t16-two-stage-cycles/LOCAL-PINS.json", + "research/complex-t16-two-stage-cycles/ceiling_bound.py", + "research/complex-t16-two-stage-cycles/check.py", + "research/complex-t16-two-stage-cycles/data/OWNERS.json.gz", + "research/complex-t16-two-stage-cycles/data/PLAN.json", + "research/complex-t16-two-stage-cycles/data/SPEC.json", + "research/complex-t16-two-stage-cycles/search/buildcand.py", + "research/complex-t16-two-stage-cycles/search/lib.py", + "research/frontier1094-idle-star-ceiling/analyze.py", + "research/pending-claims-independent-pricing/SNAPSHOT.json", + "research/pending-claims-independent-pricing/arith.py", + "research/pending-claims-independent-pricing/sweep.py", + "research/t16-owner-audit-seed67/SOURCES.json", + "research/t16-owner-audit-seed67/inputs/k8-seven-slot-word.json.gz", + "research/t16-owner-audit-seed67/verify.py" + ], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 600, + "checks": "Reconstruct the 163-row delta and semantically regenerate OWNER/PLAN/SPEC while authenticating byte hashes; run unchanged strict T16 replay with controls; independently audit and price both suppliers plus PR1069 sweep; run ceiling.ceiling() and exact packing-ceiling checker. 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59146, + 59155, + 59157, + 59271, + 59290, + 59291, + 59292, + 59293, + 59300, + 59301, + 59302, + 59303, + 59312, + 59313, + 59327, + 59429, + 59689, + 59888, + 60126, + 60133, + 60783, + 60784, + 61521, + 62301, + 62515, + 62548, + 62558, + 62711, + 62715, + 62717, + 63759, + 64006, + 64065, + 64461, + 65088, + 65096, + 65409, + 65411, + 65508, + 67499, + 67983 + ], + "offset_only_rows": 382, + "all_strictly_inside": true, + "helper_once_per_call": true, + "majorization": { + "residual_total": 237024, + "bins": 32256, + "candidate_majorizes_selected": true, + "strict": true + }, + "price_selected": { + "endpoint": "67018507072324140917/40000000000000000000000", + "endpoint_decimal": "0.001675462676808103522925", + "kappa": "836330098538459/500000000000000000", + "kappa_decimal": "0.001672660197076918" + }, + "price_new": { + "endpoint": "838212092705151621517/500000000000000000000000", + "endpoint_decimal": "0.001676424185410303243034", + "kappa": "209202311361877/125000000000000000", + "kappa_decimal": "0.001673618490895016" + }, + "price_new_conservative": { + "endpoint": "167642418254791971833/100000000000000000000000", + "endpoint_decimal": "0.001676424182547919718330", + "kappa": "836809244021103/500000000000000000", + "kappa_decimal": "0.001673618488042206" + }, + "rel_gain": "479146909049/836330098538459", + "indicative_ceiling_price": { + "idle": { + "1": 2431, + "17": 1, + "48": 4887 + }, + "kappa_decimal": "0.001674088611862992", + "complex_lower": "1676895884165954931459/1000000000000000000000000" + }, + "sweep": { + "endpoint_certified": true, + "deficit_equals_W_minus_64N": true, + "halving": true, + "record_bit_is_pr589": true, + "kappa_equals_record": true, + "kappa_equals_title": true, + "kappa_exact_decimal": "0.001673618490895016", + "binding": "complex" + } +} diff --git a/research/complex-t16-evacuation-increment/evidence/REPLAY.json b/research/complex-t16-evacuation-increment/evidence/REPLAY.json new file mode 100644 index 0000000000..63c5c60add --- /dev/null +++ b/research/complex-t16-evacuation-increment/evidence/REPLAY.json @@ -0,0 +1,111 @@ +{ + "status": "PASS_GAUGE44_T16_STRICT_GLOBAL_REPLAY", + "kappa": "209202311361877/125000000000000000", + "kappa_decimal": "0.001673618490895016", + "conservative_kappa_decimal": "0.001673618488042206", + "complex_lower": "838212092705151621517/500000000000000000000000", + "bit_lower": "1733427039589844234749/1000000000000000000000000", + "complex_profile": { + "1": 349720, + "2": 60200, + "3": 62318, + "4": 20448, + "5": 11808, + "7": 2, + "8": 1152, + "16": 2, + "48": 4880 + }, + "idle_remainder_profile": { + "1": 2392, + "2": 8, + "3": 110, + "7": 2, + "16": 2, + "48": 4880 + }, + "complete_invocations": 144, + "roles": 69120, + "prefix_bits": 397, + "charged_prefix_bits": 512, + "physical_row_coefficient": 16469, + "retained_row_coefficient": 20161, + "actual_73_axis_charts": 10008, + "controls": { + "admission": 69, + "bit_supplier": 12, + "independent_t16": 6, + "controller_mutations": 15 + }, + "t8_kappa": "167166528321877/100000000000000000", + "spec_sha256": "91d3a23fc5ee84fcbcb9f8cc60352615c4e9e785b7ef891b6273b3f8903e0d58", + "stages": [ + { + "name": "restore-parent", + "seconds": 1.495, + "exit_code": 0, + "log_sha256": "fc3a01967636bd3173ee7e5049fae45b890e1fad4564b6acdd6aaca30a4e4ea5" + }, + { + "name": "bind8", + "seconds": 0.404, + "exit_code": 0, + "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a" + }, + { + "name": "lift16", + "seconds": 3.445, + "exit_code": 0, + "log_sha256": "91d6bdbfc122b2145cd759c76bd32b2e2ab3546565ea10ffa6fe87736c525bec" + }, + { + "name": "bind", + "seconds": 0.437, + "exit_code": 0, + "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a" + }, + { + "name": "emit", + "seconds": 7.463, + "exit_code": 0, + "log_sha256": "042a915c7b3cc2148744341b795e2a4046774c5672d9577b924d670f9c69167b" + }, + { + "name": "audit", + "seconds": 26.153, + "exit_code": 0, + "log_sha256": "dee46c03036c599dfad33bc846e8d770433788b67b4a78422412720b4523ff5f" + }, + { + "name": "invoice", + "seconds": 1.272, + "exit_code": 0, + "log_sha256": "8f7074e3f78a103318ded6362c8e9bc8fc0e8c1ea3b510e63b9b84b181452cb3" + }, + { + "name": "assembly", + "seconds": 0.491, + "exit_code": 0, + "log_sha256": "dfde084f684c5a5934d23576d90ff8f76fdbdd04136c26ce9f055632c057bc5f" + }, + { + "name": "admission-controls", + "seconds": 0.641, + "exit_code": 0, + "log_sha256": "051d242318154827c1672ffbb63ad2bdc8ecc4033be650b791dd69cd57d716b3" + }, + { + "name": "bit-supplier-controls", + "seconds": 0.958, + "exit_code": 0, + "log_sha256": "d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67" + }, + { + "name": "independent-t16", + "seconds": 1.302, + "exit_code": 0, + "log_sha256": "9a822ed55b91969189acb1bb1bbdcebafc800855952fbd5e91c5d977c29cbbf9" + } + ], + "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all144 whole-owner dispatch with a two-copy remainder trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T16 composition of the accepted PR799 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/complex-t16-evacuation-increment/verify.py b/research/complex-t16-evacuation-increment/verify.py new file mode 100644 index 0000000000..5ddeb7e9bc --- /dev/null +++ b/research/complex-t16-evacuation-increment/verify.py @@ -0,0 +1,223 @@ +#!/usr/bin/env python3 +"""Rebuild and independently verify one finite T16 CP-SAT packing improvement.""" +from collections import Counter +from decimal import Decimal, localcontext +from fractions import Fraction as Q +from pathlib import Path +import argparse +import gzip +import hashlib +import importlib.util +import json +import os +import shutil +import subprocess +import sys +import tarfile +import tempfile + +if not __debug__: + raise RuntimeError('Assertions must remain enabled') +P = Path(__file__).resolve().parent +OLD_KAPPA = Q('0.001673614205725695') +CEILING_A_HI = Q(1690054109089, 10**15) +CONTROLS = dict(admission=69, bit_supplier=12, independent_t16=6, controller_mutations=15) + + +def read_json(path): + return json.loads(Path(path).read_text()) + + +def load_module(name, path): + spec = importlib.util.spec_from_file_location(name, path) + mod = importlib.util.module_from_spec(spec) + spec.loader.exec_module(mod) + return mod + + +def digest(path): + return hashlib.sha256(Path(path).read_bytes()).hexdigest() + + +def clean_env(): + env = {k: os.environ[k] for k in ('PATH', 'SYSTEMROOT', 'WINDIR', 'TMPDIR', 'TEMP', 'TMP') if k in os.environ} + env.update(PYTHONNOUSERSITE='1', PYTHONDONTWRITEBYTECODE='1', PYTHONUTF8='1', PYTHONINTMAXSTRDIGITS='0') + return env + + +def reconstruct(main, work): + pins = read_json(P/'SOURCES.json') + for item in pins['files']: + if item['usage'] == 'input': + assert digest(main/item['path']) == item['sha256'], 'Changed pinned input: '+item['path'] + + # Apply the compact row delta to the immediately preceding owner map. + prev = main/'research/complex-t16-two-stage-cycles/data/OWNERS.json.gz' + rows = json.loads(gzip.decompress(prev.read_bytes())) + diff = read_json(P/'DIFF-vs-predecessor.json') + assert len(diff) == 163 and [r['index'] for r in diff] == sorted(r['index'] for r in diff) + moved = 0 + for item in diff: + i = item['index'] + assert 0 <= i < len(rows) and rows[i] == item['before'], ('delta base mismatch', i) + before, after = item['before'], item['after'] + assert all(before[k] == after[k] for k in ('stage', 'replica', 'time', 'helper', 'width')) + moved += any(before[k] != after[k] for k in ('owner_replica', 'child', 'port')) + rows[i] = after + assert moved == 142 and len(diff)-moved == 21 + owners = json.loads(gzip.decompress((P/'data/OWNERS.json.gz').read_bytes())) + assert rows == owners, 'predecessor + delta does not reconstruct the candidate' + + # The existing builder derives all three shipped data files, including the actual chart count. + rebuilt = work/'rebuilt' + subprocess.run([sys.executable, '-B', str(main/'research/complex-t16-two-stage-cycles/search/buildcand.py'), + str(main/'research/complex-t16-two-stage-cycles/search'), str(P/'data/OWNERS.json.gz'), + str(rebuilt), '10008'], cwd=main, env=clean_env(), check=True) + rebuilt_rows = json.loads(gzip.decompress((rebuilt/'OWNERS.json.gz').read_bytes())) + assert rebuilt_rows == owners, 'builder changed owner rows' + # zlib may emit different gzip bytes across Python versions. Compare the + # complete JSON objects after removing only hashes of those compressed bytes. + rebuilt_plan, plan = read_json(rebuilt/'PLAN.json'), read_json(P/'data/PLAN.json') + assert digest(P/'data/OWNERS.json.gz') == plan['assignment_sha256'] + assert digest(P/'data/OWNERS.json.gz') == plan['replica_lift']['owners_file_sha256'] + assert digest(P/'data/PLAN.json') == read_json(P/'data/SPEC.json')['data']['plan_sha256'] + assert digest(P/'data/OWNERS.json.gz') == read_json(P/'data/SPEC.json')['data']['owners_sha256'] + for obj in (rebuilt_plan, plan): + obj.pop('assignment_sha256') + obj['replica_lift'].pop('owners_file_sha256') + assert rebuilt_plan == plan, 'builder mismatch in semantic PLAN fields' + rebuilt_spec, candidate_spec = read_json(rebuilt/'SPEC.json'), read_json(P/'data/SPEC.json') + rebuilt_spec['data'] = {'owners_sha256': 'compressed-bytes-vary', 'plan_sha256': 'compressed-bytes-vary'} + candidate_spec['data'] = {'owners_sha256': 'compressed-bytes-vary', 'plan_sha256': 'compressed-bytes-vary'} + assert rebuilt_spec == candidate_spec, 'builder mismatch in semantic SPEC fields' + + +def strict_replay(main, work): + source = work/'source' + source.mkdir() + archive = main/'research/complex-t16-rare-pattern-exchanges/upstream1087.tar.gz' + with tarfile.open(archive) as tar: + for member in tar.getmembers(): + assert member.isfile() and (source/member.name).resolve().is_relative_to(source.resolve()) + tar.extractall(source, filter='data') + manifest = read_json(source/'MANIFEST.json') + actual = {f.relative_to(source).as_posix(): digest(f) for f in source.rglob('*') + if f.is_file() and f != source/'MANIFEST.json'} + assert actual == manifest, 'frozen PR1087 source manifest mismatch' + for name in ('OWNERS.json.gz', 'PLAN.json', 'SPEC.json'): + shutil.copyfile(P/'data'/name, source/'data'/name) + + local = work/'local' + local.mkdir() + local_pins = read_json(main/'research/complex-t16-two-stage-cycles/LOCAL-PINS.json') + provider_archive = main/'research/community-frontier1094-audit/selected-replay.tar.gz' + prefix = 'candidate/strict/global/base/providers/gauge44/' + with tarfile.open(provider_archive) as tar: + for name, expected in local_pins.items(): + member = tar.getmember(prefix+name) + assert member.isfile() + content = tar.extractfile(member).read() + assert hashlib.sha256(content).hexdigest() == expected, 'provider pin mismatch: '+name + (local/name).write_bytes(content) + + replay_dir = work/'strict' + env = clean_env() + subprocess.run([sys.executable, '-E', '-S', '-B', str(source/'verify_t16.py'), + '--main', str(main), '--local', str(local), '--work', str(replay_dir)], + env=env, check=True) + result = read_json(replay_dir/'REPLAY.json') + expected = read_json(P/'data/SPEC.json')['expected'] + assert result['status'] == 'PASS_GAUGE44_T16_STRICT_GLOBAL_REPLAY' + assert result['kappa'] == expected['kappa'] + assert Decimal(result['kappa_decimal']) == Decimal(expected['kappa_decimal']) + assert Decimal(result['conservative_kappa_decimal']) == Decimal(expected['conservative_kappa_decimal']) + assert result['complex_profile'] == expected['global_profile'] + assert result['idle_remainder_profile'] == expected['idle_remainder_profile'] + assert result['actual_73_axis_charts'] == expected['actual_73column_sigmas'] == 10008 + assert result['controls'] == CONTROLS + pinned = read_json(P/'evidence/REPLAY.json') + for key in ('status', 'kappa', 'kappa_decimal', 'conservative_kappa_decimal', 'actual_73_axis_charts', 'controls'): + assert result[key] == pinned[key], 'strict receipt differs from packaged evidence: '+key + return replay_dir, result + + +def independent_audit(main, replay_dir, work): + check = load_module('t16_predecessor_independent_check', main/'research/complex-t16-two-stage-cycles/check.py') + check.P = P + out_path = work/'CHECK.json' + check.run(main, replay_dir, out_path) + result = read_json(out_path) + evidence = read_json(P/'evidence/CHECK.json') + for key in ('candidate', 'price_new', 'price_new_conservative', 'majorization', 'sweep', + 'changed_rows', 'offset_only_rows', 'all_strictly_inside', 'helper_once_per_call'): + assert result[key] == evidence[key], 'independent receipt mismatch: '+key + assert result['relocated_rows'] == evidence['relocated_rows'] + assert Decimal(result['price_new']['kappa_decimal']) == Decimal('0.001673618490895016') + assert result['majorization']['candidate_majorizes_selected'] is True + assert result['sweep']['binding'] == 'complex' + return result + + +def check_word_ceiling(main, expected): + word_path = main/'research/t16-owner-audit-seed67/inputs/k8-seven-slot-word.json.gz' + word = json.loads(gzip.decompress(word_path.read_bytes())) + local = {int(k): int(v) for k, v in word['report']['local_profile'].items()} + mod = load_module('t16_word_ceiling', main/'research/complex-local-word-ceiling/ceiling.py') + a_lo, a_hi = mod.ceiling(local, 73, 896, 9, 64) + assert a_hi == CEILING_A_HI, (a_lo, a_hi) + kappa_cap = a_hi/(1+a_hi) + candidate_kappa = Q(expected['kappa']) + selected_kappa = Q('0.001672660197076918') + assert candidate_kappa < kappa_cap and candidate_kappa > OLD_KAPPA > selected_kappa + realized = candidate_kappa/kappa_cap + selected_gap_realized = (candidate_kappa-selected_kappa)/(kappa_cap-selected_kappa) + with localcontext() as ctx: + ctx.prec = 50 + realized_decimal = Decimal(realized.numerator)/Decimal(realized.denominator) + gap_decimal = Decimal(selected_gap_realized.numerator)/Decimal(selected_gap_realized.denominator) + cap_decimal = Decimal(kappa_cap.numerator)/Decimal(kappa_cap.denominator) + return dict(a_hi=str(Decimal(a_hi.numerator)/Decimal(a_hi.denominator)), + kappa_ceiling=str(cap_decimal), fraction_of_kappa_ceiling_realized=str(realized_decimal), + fraction_of_selected_to_ceiling_gap_realized=str(gap_decimal)) + + +def packing_ceiling(main, work): + out_path = work/'CEILING.json' + subprocess.run([sys.executable, '-I', '-B', str(main/'research/complex-t16-two-stage-cycles/ceiling_bound.py'), + '--data', str(P/'data'), '--out', str(out_path)], env=clean_env(), check=True) + result = read_json(out_path) + evidence = read_json(P/'evidence/CEILING.json') + assert result == evidence + assert result['theorem1']['max_empty_cap48'] == 4887 + assert result['theorem3']['bound_decimal'] == '908139.013' + assert result['this_map']['empty_cap48'] == 4880 + return result + + +def run(main, work): + reconstruct(main, work) + replay_dir, replay = strict_replay(main, work) + audit = independent_audit(main, replay_dir, work) + spec = read_json(P/'data/SPEC.json')['expected'] + old_delta = Q(spec['kappa'])-OLD_KAPPA + assert old_delta == Q(4285169321, 10**18) + cap = check_word_ceiling(main, spec) + packing = packing_ceiling(main, work) + print('PASS_T16_EVACUATION_INCREMENT', replay['kappa_decimal'], + 'delta_vs_predecessor', Decimal(old_delta.numerator)/Decimal(old_delta.denominator), + 'fraction_of_word_kappa_ceiling', cap['fraction_of_kappa_ceiling_realized'], + 'changed/relocated', audit['changed_rows'], len(audit['relocated_rows']), + 'packing ceiling E<=', packing['theorem3']['bound_decimal']) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--main', type=Path, default=P.parents[1]) + parser.add_argument('--work', type=Path) + args = parser.parse_args() + if args.work: + args.work.mkdir(parents=True, exist_ok=False) + run(args.main.resolve(), args.work.resolve()) + else: + with tempfile.TemporaryDirectory(prefix='t16-evacuation-increment-') as tmp: + run(args.main.resolve(), Path(tmp)) From 8bc0555b484bf4aec4b91c680763d930d6754974 Mon Sep 17 00:00:00 2001 From: Gonzalo-Mier Date: Sat, 17 Oct 2026 23:25:21 +0200 Subject: [PATCH 2/2] Refresh T16 packing overlap evidence --- .../README.md | 32 +- .../SEARCH.json | 19 +- .../TASK.json | 10 +- .../evidence/OVERLAP.json | 963 ++++++++++++++++++ 4 files changed, 996 insertions(+), 28 deletions(-) create mode 100644 research/complex-t16-evacuation-increment/evidence/OVERLAP.json diff --git a/research/complex-t16-evacuation-increment/README.md b/research/complex-t16-evacuation-increment/README.md index 9e6e54706d..8e9889dd33 100644 --- a/research/complex-t16-evacuation-increment/README.md +++ b/research/complex-t16-evacuation-increment/README.md @@ -49,24 +49,26 @@ running an optimizer. ## Search overlap -The most recent complete local PR/discussion overlap snapshot was fetched on -2026-10-17 at 19:54 UTC (310 open PRs and 2,095 discussions). It showed no -matching open T16 owner-map/selected-packing PR; nearby open work concerned -T740 or T16 audit tooling. Network/DNS failures prevented a newer live refresh -during packaging, so this snapshot is evidence of the check performed, not a -claim that overlap is impossible. See `SEARCH.json` and rerun the live overlap -check before relying on novelty. +The live overlap refresh on 2026-10-17 at 21:23 UTC returned 350 open PRs and +321 discussion records. It found no matching open T16 owner-packing PR. The +nearest scoped results are a census of single whole-helper relocations +(Discussion #1332 / closed PR #1343), which explicitly excluded multi-row +repacking, and a rank-48 idle-only repartition ceiling (Discussion #1265 / +closed PR #1276) below this candidate's κ. An idle-axis overlay (Discussion +#1339 / PR #1387) did not pass actual stream composition. These checks support +the stated scoped distinction, not a claim of global novelty. The returned +inventory and details are recorded in `evidence/OVERLAP.json` and `SEARCH.json`. ## Open next questions -The structured questions are in `TASK.json`. The most direct OR-Tools follow-up -is to price residual bins with the exact supplier engines and use those prices -to guide adaptive CP-SAT neighbourhoods. This candidate improved exact κ even -though its `Σ f ln(f)` surrogate is higher than its predecessor's, so the -surrogate can mis-rank nearby maps. First derive stable scaled marginal costs -for the residual profile, then compare those neighborhoods against the current -best using strict replay. A proof-quality bound on the remaining κ gap is still -open. +The structured questions are in `TASK.json`. Three bounded probes of a rounded +exact-moment objective did not improve the candidate, so that +objective/neighbourhood combination is not the next search to repeat. A more +promising question is whether exact supplier prices can drive a decomposed +master problem with pricing cuts instead of a single rounded surrogate. This +candidate improved exact κ even though its `Σ f ln(f)` surrogate is higher than +its predecessor's, so the surrogate can mis-rank nearby maps. A proof-quality +bound on the remaining κ gap is also open. ## Credit diff --git a/research/complex-t16-evacuation-increment/SEARCH.json b/research/complex-t16-evacuation-increment/SEARCH.json index 8b914d5fd0..8a4afc1ef7 100644 --- a/research/complex-t16-evacuation-increment/SEARCH.json +++ b/research/complex-t16-evacuation-increment/SEARCH.json @@ -60,14 +60,12 @@ } ], "overlap": { - "method": "Repository overlap helper and fully paginated PR/discussion snapshot.", - "snapshot": "/tmp/research-loop-overlap.json, fetched 2026-10-17 19:54 UTC; 310 open PRs and 2,095 discussions.", - "finding": "No matching open T16 owner-map/selected-packing PR in that snapshot; nearby open work was on T740 or T16 audit tooling.", - "limitation": "The local full snapshot is the latest usable overlap artifact. A pre-submission git fetch failed with DNS error `Could not resolve host: github.com`; GitHub API access and available browsing returned no usable live PR/discussion inventory. Treat the negative match as time-bounded, not proof of novelty.", - "pre_submission_attempts": [ - "git fetch --no-tags origin main in the isolated submission clone: failed because github.com did not resolve", - "GitHub REST API open-PR/discussion URLs: inaccessible through the available web reader" - ] + "method": "Complete paginated GitHub REST inventory of open pull requests and repository discussions; title/body search plus inspection of nearest prior T16 results.", + "checked_utc": "2026-10-17 21:23:20 UTC", + "snapshot": "evidence/OVERLAP.json; 350 open PRs and 321 discussion records returned by the API.", + "finding": "No open PR for this T16 multi-role owner-packing improvement. Nearest work is distinct: Discussion #1332 / closed PR #1343 exactly censused single whole-helper moves and found no legal strictly improving one-role relocation, explicitly excluding multi-role repacking; this contribution changes multiple owner rows jointly and passes full replay. Discussion #1265 / closed PR #1276 bounded within-group repartitions of the selected map\u2019s unhosted idle rank-48 children (kappa ceiling 0.001673151843213755, no admitted gain); this full owner repack reaches 0.001673618490895016 by changing hosted-helper placements and the aggregate idle profile. Discussion #1339 / PR #1387 priced a structural idle-axis optimum but its overlay failed the actual stream-composition check. Open PR #1807 certifies selected owner-row bindings in Lean, and #3209 changes T16 audit parsing; neither changes the packing.", + "added_value": "An exact-replayed, multi-row legal owner-map improvement beyond the single-relocation census and idle-only repartition domains, with exact pricing and independent controls.", + "limits": "A matching title or nearby scoped result is not proof of global novelty; this claim is restricted to the fixed selected word and supplier." }, "interpretation": { "word_ceiling": "ceiling.ceiling() gives a_hi = 0.001690054109089; under kappa < a/(1+a), the kappa ceiling is about 0.001687202645325402.", @@ -127,5 +125,10 @@ } ], "conclusion": "This small sample does not establish local optimality. It shows no utility for spending more search budget on this objective/neighbourhood combination now." + }, + "upstream_refresh": { + "command": "git fetch --no-tags origin main", + "result": "PASS; origin/main resolved to the package base commit 463113d675af7410ac91d53a4fed51ec6494eb9a before submission.", + "guidance": "No newer main changes were present at the refresh; the package source bindings remain on the refreshed base." } } diff --git a/research/complex-t16-evacuation-increment/TASK.json b/research/complex-t16-evacuation-increment/TASK.json index fe7d69823e..eef5e5e56b 100644 --- a/research/complex-t16-evacuation-increment/TASK.json +++ b/research/complex-t16-evacuation-increment/TASK.json @@ -58,15 +58,15 @@ "budget_minutes": 540, "stop_rule": "Keep the best exact-kappa map, then stop this bounded session after strict and independent replay and 24 subsequent evacuation/relocation/call/time-window neighbourhood rounds fail to improve exact kappa. This is a search stop, not an optimality criterion.", "outcome": "completed", - "evidence": "SEARCH.json and evidence/: an OR-Tools CP-SAT evacuation neighbourhood produced a strict-replayed candidate at exact kappa 0.001673618490895016, up 4.285169321e-9 (0.0002560428% relative) over the immediately preceding map. The independent seed67 audit, exact pricing of both suppliers, PR1069 sweep, and unchanged 11-stage strict replay pass with controls 69/12/6/15. ceiling.ceiling() gives a_hi=0.001690054109089 and implied kappa ceiling 0.001687202645325402; the candidate realizes 99.194871% of that ceiling. The exact packing certificate remains E<=908139.013 and at most 4,887 empty cap-48 bins (candidate: 4,880); it is not a kappa bound. No optimum is claimed. The 2026-10-17 19:54 UTC overlap snapshot showed no matching open T16 packing PR, but a newer live refresh was unavailable during packaging.", + "evidence": "SEARCH.json and evidence/: an OR-Tools CP-SAT evacuation neighbourhood produced a strict-replayed candidate at exact kappa 0.001673618490895016, up 4.285169321e-9 (0.0002560428% relative) over the immediately preceding map. The independent seed67 audit, exact pricing of both suppliers, PR1069 sweep, and unchanged 11-stage strict replay pass with controls 69/12/6/15. ceiling.ceiling() gives a_hi=0.001690054109089 and implied kappa ceiling 0.001687202645325402; the candidate realizes 99.194871% of that ceiling. The exact packing certificate remains E<=908139.013 and at most 4,887 empty cap-48 bins (candidate: 4,880); it is not a kappa bound. No optimum is claimed. The live 2026-10-17 21:23 UTC overlap refresh returned 350 open PRs and 321 discussion records, with no matching open T16 owner-packing PR; nearest scoped results are recorded in SEARCH.json and evidence/OVERLAP.json.", "author": "OpenAI Codex (user-directed; donor name not recorded)", "ai_assistance": "Substantial OpenAI Codex assistance: OR-Tools search orchestration, candidate packaging, documentation, and verifier integration. OR-Tools 9.11.4210 supplied the CP-SAT solver; exact replay, independent pricing, and ceiling checks supplied the acceptance evidence. No independent human review is claimed.", "open_questions": [ { - "question": "Can exact supplier marginal costs guide adaptive CP-SAT neighbourhoods better than the sum f ln(f) surrogate?", - "why_it_matters": "The accepted map has higher surrogate E than its immediate predecessor despite a higher exact kappa, so the current proxy can mis-rank nearby packings.", - "first_step": "Derive scaled marginal prices from the pinned exact engines for a bounded set of residual-profile changes, then use them to rank or weight candidate evacuation neighbourhoods and strict-replay every new best.", - "blocked_by": "The exact pricing function couples the aggregate residual profile nonlinearly; a stable integer objective or a safe linearization for CP-SAT has not yet been derived." + "question": "Can exact supplier costs drive a decomposed master problem with pricing cuts more effectively than a rounded separable moment objective?", + "why_it_matters": "Three bounded rounded-moment CP-SAT probes produced no strict kappa gain, and the accepted map has higher surrogate E than its predecessor despite higher exact kappa. The residual profile is coupled through the exact supplier pricing function, so a master/pricing loop may preserve more of the true objective structure.", + "first_step": "Use the pinned exact engines to price a bounded set of residual-profile moves, derive valid discrete marginal cuts for a small master problem, then reconstruct and strict-replay every proposed owner map.", + "blocked_by": "No exact or safely useful discrete cut description for the nonlinear aggregate pricing function has been derived; the three local moment probes are exploratory and do not establish a local optimum." }, { "question": "Can the fixed-word kappa ceiling be tightened to a certificate on the remaining gap, or can a concrete packing approach it further?", diff --git a/research/complex-t16-evacuation-increment/evidence/OVERLAP.json b/research/complex-t16-evacuation-increment/evidence/OVERLAP.json new file mode 100644 index 0000000000..a1712e38d7 --- /dev/null +++ b/research/complex-t16-evacuation-increment/evidence/OVERLAP.json @@ -0,0 +1,963 @@ +{ + "checked_utc": "2026-10-17 21:23:20 UTC", + "open_pr_count": 350, + "pr_error": null, + "pr_matches": [ + { + "number": 3291, + "title": "Repair centre block proof with a sharp fifteen-owner graph floor", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3291", + "updated_at": "2026-10-17T20:49:47Z", + "state": "open" + }, + { + "number": 3285, + "title": "Research: independently re-solve PR #2979's fixed-capacity stage caps and price each stage-one group alone (no new \u03ba)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3285", + "updated_at": "2026-10-17T20:47:03Z", + "state": "open" + }, + { + "number": 3237, + "title": "Research: certify PR #2979's V45 final-word controls fail the complete packing budget", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3237", + "updated_at": "2026-10-17T18:50:09Z", + "state": "open" + }, + { + "number": 3218, + "title": "Tooling: accelerate exact R2 Clifford comparisons with signed Pauli actions", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3218", + "updated_at": "2026-10-17T18:15:15Z", + "state": "open" + }, + { + "number": 3209, + "title": "Reuse JSON parses in the complete T16 boundary audit", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3209", + "updated_at": "2026-10-17T17:57:53Z", + "state": "open" + }, + { + "number": 3190, + "title": "Conditional \u03ba = 0.001733427039589844234749 (bit-bound): idle-remainder donors on #3148's T740 fill (+0.187% over #3184)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3190", + "updated_at": "2026-10-17T17:13:48Z", + "state": "open" + }, + { + "number": 3184, + "title": "Conditional \u03ba = 0.001730189061233850760095: idle rank-48 star exchanges on #3148's T740 fill (+0.0238%)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3184", + "updated_at": "2026-10-17T17:13:57Z", + "state": "open" + }, + { + "number": 3181, + "title": "research: QQ16 52-bit interior dynamic-range collapse, backward adjoint ledger, and dyadic grid exactness", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3181", + "updated_at": "2026-10-17T15:16:09Z", + "state": "open" + }, + { + "number": 3147, + "title": "research: centre sink duality, dependent-triple braid sparsity (|B| <= 12), and circle-cancellation sharing ceilings", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3147", + "updated_at": "2026-10-17T09:38:04Z", + "state": "open" + }, + { + "number": 3120, + "title": "Copied-information floor of the selected centre path", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3120", + "updated_at": "2026-10-17T03:27:58Z", + "state": "open" + }, + { + "number": 2818, + "title": "Conditional \u03ba = 0.0017177949841186346638272: #2802's construction with a 1e-3000 certified endpoint", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2818", + "updated_at": "2026-10-15T23:36:53Z", + "state": "open" + }, + { + "number": 2767, + "title": "Conditional \u03ba = 0.001717256973467002: post-cut partner correction on #2696's lender assignment with #2679's pre-life hosting", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2767", + "updated_at": "2026-10-16T02:17:37Z", + "state": "open" + }, + { + "number": 2762, + "title": "Census round 2: screening results for the 16 uncovered open complex claims (no new kappa)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2762", + "updated_at": "2026-10-15T20:48:03Z", + "state": "open" + }, + { + "number": 2745, + "title": "Conditional \u03ba = 0.001716140425997441: #2696's lender assignment with #2679's pre-life hosting and a window-optimal fill", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2745", + "updated_at": "2026-10-15T19:43:14Z", + "state": "open" + }, + { + "number": 2733, + "title": "Improve conditional kappa to 0.00171625567823018 with composition and a frame refit", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2733", + "updated_at": "2026-10-15T20:17:41Z", + "state": "open" + }, + { + "number": 2679, + "title": "Conditional \u03ba = 0.0017148565406944334: pre-life hosting and a frame-refit alias on the #2588 T74 words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2679", + "updated_at": "2026-10-15T17:01:34Z", + "state": "open" + }, + { + "number": 2673, + "title": "Conditional \u03ba = 0.001714600409398252: priority-ordered window-optimal owner fill on #2588's words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2673", + "updated_at": "2026-10-15T16:58:17Z", + "state": "open" + }, + { + "number": 2588, + "title": "Conditional \u03ba = 0.001714252039260245: swapped helper labels for lenders 80 and 88 on #2530's source-partner words, with an evacuated owner fill", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2588", + "updated_at": "2026-10-15T15:32:24Z", + "state": "open" + }, + { + "number": 2575, + "title": "Conditional \u03ba = 0.001713879320009017: owner evacuation on #2530's source-partner words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2575", + "updated_at": "2026-10-15T15:03:49Z", + "state": "open" + }, + { + "number": 2559, + "title": "Conditional \u03ba = 0.0017044322370702051: owner-fill evacuation and two more retired-lender aliases on the #2526 T74 words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2559", + "updated_at": "2026-10-15T17:01:37Z", + "state": "open" + }, + { + "number": 2526, + "title": "Conditional \u03ba = 0.001703713039257905: a sixth #2436-type alias (helper 656 borrows lender 88) on the entrance-raised T74 words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2526", + "updated_at": "2026-10-15T13:46:04Z", + "state": "open" + }, + { + "number": 2474, + "title": "Conditional \u03ba = 0.001703676387993676: a fifth #2436 alias on the entrance-raised T74 words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2474", + "updated_at": "2026-10-15T13:10:26Z", + "state": "open" + }, + { + "number": 2462, + "title": "Conditional \u03ba = 0.001703552312979594: optimal owner fill for #2436's aliases on the entrance-raised T74 words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2462", + "updated_at": "2026-10-15T11:34:55Z", + "state": "open" + }, + { + "number": 2447, + "title": "Conditional \u03ba = 0.001698511924002761: optimal owner fill on #2435's entrance-raised words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2447", + "updated_at": "2026-10-15T12:58:16Z", + "state": "open" + }, + { + "number": 2439, + "title": "[Lean] Execute paid exponent widening and half-source addition", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2439", + "updated_at": "2026-10-15T09:56:17Z", + "state": "open" + }, + { + "number": 2438, + "title": "[Lean] Return reusable dyadic output with paid copy and sign split", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2438", + "updated_at": "2026-10-15T09:49:39Z", + "state": "open" + }, + { + "number": 2436, + "title": "Conditional bound: four aliases + 24 entrance raises give \u03ba = 0.001699160892139825", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2436", + "updated_at": "2026-10-15T11:03:00Z", + "state": "open" + }, + { + "number": 2435, + "title": "Conditional \u03ba = 0.001698511343697629: entrance raise of 24 copy buffers on the handoff T74 words", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2435", + "updated_at": "2026-10-15T12:58:20Z", + "state": "open" + }, + { + "number": 2426, + "title": "[Lean] Execute encoded exponent alignment and dyadic addition", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2426", + "updated_at": "2026-10-15T09:07:29Z", + "state": "open" + }, + { + "number": 2418, + "title": "[Lean] Pay positioned paired-track acquisition and global return", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2418", + "updated_at": "2026-10-15T08:41:46Z", + "state": "open" + }, + { + "number": 2409, + "title": "Tooling: 2.49\u00d7 faster production HPE audit via integer rows with identical receipts", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2409", + "updated_at": "2026-10-15T23:07:18Z", + "state": "open" + }, + { + "number": 2403, + "title": "[Lean] Restore saved exponents and refine ambient metadata XOR", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2403", + "updated_at": "2026-10-15T07:42:51Z", + "state": "open" + }, + { + "number": 2374, + "title": "Conditional \u03ba = 0.001697194950901770: exact owner fill on #2322's handoff construction", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2374", + "updated_at": "2026-10-15T12:58:51Z", + "state": "open" + }, + { + "number": 2371, + "title": "[Lean] Bind exact L450 fragment bytes to checked chart payload", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2371", + "updated_at": "2026-10-15T06:48:32Z", + "state": "open" + }, + { + "number": 2357, + "title": "Tooling: 2.26\u00d7 faster production emitted-local audit via integer rows with identical receipts", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2357", + "updated_at": "2026-10-15T20:57:54Z", + "state": "open" + }, + { + "number": 2349, + "title": "Conditional \u03ba = 0.001697065994108880: owner relocations on #2322's handoff construction", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2349", + "updated_at": "2026-10-15T06:07:34Z", + "state": "open" + }, + { + "number": 2216, + "title": "QQ16: add an F0-B1 selected-state shear", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2216", + "updated_at": "2026-10-15T18:23:53Z", + 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"updated_at": "2026-10-14T16:28:27Z", + "state": "open" + }, + { + "number": 1978, + "title": "[Lean] Bind checked byte slices to named artifact columns", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1978", + "updated_at": "2026-10-14T15:49:03Z", + "state": "open" + }, + { + "number": 1961, + "title": "[Lean] Validate compact column fragments and their byte representation", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1961", + "updated_at": "2026-10-14T15:14:12Z", + "state": "open" + }, + { + "number": 1950, + "title": "[Lean] Recover binary certificates from named JSON and original bytes", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1950", + "updated_at": "2026-10-14T14:48:43Z", + "state": "open" + }, + { + "number": 1927, + "title": "[Lean] Connect actual JSON fields to checked tables and binary charts", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1927", + "updated_at": "2026-10-14T14:02:51Z", + "state": "open" 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a fixed P112 co-star decoder", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1267", + "updated_at": "2026-10-15T08:21:32Z", + "state": "open" + }, + { + "number": 1289, + "title": "CLAIM: selected PR589 bit hosting, ambient-axis disjointness across idle children", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1289", + "updated_at": "2026-10-15T16:45:01Z", + "state": "open" + }, + { + "number": 1291, + "title": "Lean prefix norm corollary on the existing Lemma G stream interface", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1291", + "updated_at": "2026-10-13T22:21:39Z", + "state": "open" + }, + { + "number": 1314, + "title": "DONE: helper-donor kernel census on the #1297/#1305 words (#1337); pivot-566 follow-up (#1625)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1314", + "updated_at": "2026-10-14T23:18:12Z", + "state": "open" + }, + { + "number": 1315, + "title": "CLAIM: X2 acceptance boundary for the selected owner map (Navinor, expires 2026-10-14 00:40Z)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1315", + "updated_at": "2026-10-13T22:33:06Z", + "state": "open" + }, + { + "number": 1328, + "title": "CLAIM: coverage-law relief thresholds for the selected complex local word (Navinor, expires 2026-10-14T00:50Z)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1328", + "updated_at": "2026-10-13T23:21:26Z", + "state": "open" + }, + { + "number": 1332, + "title": "Selected PR1094: exact single whole-helper relocation census", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1332", + "updated_at": "2026-10-14T21:01:20Z", + "state": "open" + }, + { + "number": 1335, + "title": "DONE: selected k8 singleton B-frame cap (seed 29; PR #1358)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1335", + "updated_at": "2026-10-13T23:23:42Z", + "state": "open" + }, + { + "number": 1339, + "title": "Selected PR1094: exact simultaneous idle-axis reassignment domain", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1339", + "updated_at": "2026-10-13T23:57:11Z", + "state": "open" + }, + { + "number": 1356, + "title": "CLAIM: fixed-tape recursive parking, exact call-boundary composition and ancestor locality", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1356", + "updated_at": "2026-10-13T23:48:52Z", + "state": "open" + }, + { + "number": 1378, + "title": "DONE: selected k8 helper endpoint rigidity and admission audit (PR #1583)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1378", + "updated_at": "2026-10-14T03:27:00Z", + "state": "open" + }, + { + "number": 1467, + "title": "DONE: faithful S3 vector output transport, 524 to 404 primitives (PR1488)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1467", + "updated_at": "2026-10-14T01:39:44Z", + "state": "open" + }, + { + "number": 1489, + "title": "DONE: paid complex connector reader-change repair, 41 to 33 ADDs (PR1506)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1489", + "updated_at": "2026-10-14T01:55:33Z", + "state": "open" + }, + { + "number": 1492, + "title": "DONE: cross-block mixing retains the fixed complex late-interface floor (PR1517)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1492", + "updated_at": "2026-10-14T02:09:40Z", + "state": "open" + }, + { + "number": 1493, + "title": "DONE: distinct dyadic BIT outputs share a restored source tour (PR1522)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1493", + "updated_at": "2026-10-14T02:15:12Z", + "state": "open" + }, + { + "number": 1501, + "title": "DONE: reader-observable connector repair, 72 to 61 XORs (PR1523)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1501", + "updated_at": "2026-10-14T02:14:31Z", + "state": "open" + }, + { + "number": 1505, + "title": "DONE: mutable-source borrowing lowers fixed-cap echo work (PR1538)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1505", + "updated_at": "2026-10-14T02:29:06Z", + "state": "open" + }, + { + "number": 1507, + "title": "DONE: exact J3 gate/positive-envelope frontier (PR1520)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1507", + "updated_at": "2026-10-14T02:11:49Z", + "state": "open" + }, + { + "number": 1516, + "title": "CLAIM: can the centre path be hosted on idle coordinates like helper residuals? (ctoth, expires 05:00Z)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1516", + "updated_at": "2026-10-14T13:08:49Z", + "state": "open" + }, + { + "number": 1539, + "title": "DONE: sixth-root phases retain the 14-call connector minimum (PR1551)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1539", + "updated_at": "2026-10-14T02:50:37Z", + "state": "open" + }, + { + "number": 1547, + "title": "DONE: full-payload PR589 gzip rebuild comparisons (PR1559)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1547", + "updated_at": "2026-10-14T02:59:36Z", + "state": "open" + }, + { + "number": 1587, + "title": "CLAIM: where does the one unpaid coordinate per live family come from, and is it forced? (ctoth, expires 07:30Z)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1587", + "updated_at": "2026-10-17T20:40:06Z", + "state": "open" + }, + { + "number": 1596, + "title": "Selected complex rank-one block delivery: sharp integer budget and overhead tax", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1596", + "updated_at": "2026-10-17T01:41:13Z", + "state": "open" + }, + { + "number": 1606, + "title": "CLAIM: port-count / puncture-depth lever priced with the exact packing ceiling (p = 0..24)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1606", + "updated_at": "2026-10-14T04:10:54Z", + "state": "open" + }, + { + "number": 1618, + "title": "Selected R480 word: test read-free terminal/entrance fusion across complete-call boundaries", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1618", + "updated_at": "2026-10-14T05:32:41Z", + "state": "open" + }, + { + "number": 1620, + "title": "DONE: independent integer-root audit of nine frozen packing ceilings (PR1632)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1620", + "updated_at": "2026-10-14T04:28:41Z", + "state": "open" + }, + { + "number": 1630, + "title": "Closed fixed-weight conic slice: eleven calls cannot realize four full targets", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1630", + "updated_at": "2026-10-14T07:08:02Z", + "state": "open" + }, + { + "number": 1636, + "title": "Centre-free E8 side shear: simultaneous spectral closure at 1 and -13", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1636", + "updated_at": "2026-10-14T09:54:49Z", + "state": "open" + }, + { + "number": 1645, + "title": "DONE: one extra mixed total at the selected k8 cut fails the cost screen", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1645", + "updated_at": "2026-10-14T06:12:10Z", + "state": "open" + }, + { + "number": 1659, + "title": "DONE: exact complete selected k8 frame ceiling (PR #1671)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1659", + "updated_at": "2026-10-14T06:24:23Z", + "state": "open" + }, + { + "number": 1667, + "title": "Spinor paired-Walsh centres: exact 6272 COPY rank and phases, full supplier open", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1667", + "updated_at": "2026-10-14T12:22:29Z", + "state": "open" + }, + { + "number": 1693, + "title": "CLAIM: one-touch rank-one climb retiming into rank-two children (seed 73506)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1693", + "updated_at": "2026-10-14T20:17:35Z", + "state": "open" + }, + { + "number": 1723, + "title": "DONE: mandatory late blocks require eight interface changes before the target screen opens", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1723", + "updated_at": "2026-10-14T08:05:05Z", + "state": "open" + }, + { + "number": 1730, + "title": "CLAIM: selected #1094 certificate-to-replay binding and invoice/outer recheck", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1730", + "updated_at": "2026-10-14T08:13:53Z", + "state": "open" + }, + { + "number": 1737, + "title": "DONE: sharp COPY power floor for row-masked P112 basis switches", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1737", + "updated_at": "2026-10-14T08:33:55Z", + "state": "open" + }, + { + "number": 1765, + "title": "HANDOFF: Joint rank-two child interface candidate (seed 0d762194)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1765", + "updated_at": "2026-10-14T09:12:31Z", + "state": "open" + }, + { + "number": 1776, + "title": "DONE: exact mutable connector cost with sequential delivery cuts (PR1780)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1776", + "updated_at": "2026-10-16T21:29:58Z", + "state": "open" + }, + { + "number": 1885, + "title": "DONE: independent R480 packing audit through a=1/2 (PR1914)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1885", + "updated_at": "2026-10-14T13:45:39Z", + "state": "open" + }, + { + "number": 1952, + "title": "CLAIM: cyclic masked rank-three child profile (seed 380b8276)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1952", + "updated_at": "2026-10-14T15:06:26Z", + "state": "open" + }, + { + "number": 1963, + "title": "CLAIM: nonadjacent centre-path sharing with role permutation (seed 146930b1)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1963", + "updated_at": "2026-10-14T15:39:14Z", + "state": "open" + }, + { + "number": 1976, + "title": "Swapped-chart source-code order and growth on the selected 112-port query", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1976", + "updated_at": "2026-10-14T16:02:53Z", + "state": "open" + }, + { + "number": 1980, + "title": "CLAIM: second universal support-axis invariant (seed 0654b173)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1980", + "updated_at": "2026-10-14T17:04:16Z", + "state": "open" + }, + { + "number": 2000, + "title": "DONE: arbitrary selected k8 helper terminal frames retain the ceiling (PR #2013)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2000", + "updated_at": "2026-10-14T17:08:34Z", + "state": "open" + }, + { + "number": 2024, + "title": "CLAIM: three-dimensional port decoder for selected P112 (Cycle 14)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2024", + "updated_at": "2026-10-14T18:02:02Z", + "state": "open" + }, + { + "number": 2036, + "title": "CLAIM: three-source clean cache across two output lines (Cycle 17)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2036", + "updated_at": "2026-10-14T18:04:57Z", + "state": "open" + }, + { + "number": 2051, + "title": "DONE: selected T16 invoice input boundary audit (#2081)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2051", + "updated_at": "2026-10-17T18:31:13Z", + "state": "open" + }, + { + "number": 2058, + "title": "CLAIM: nonadjacent selected centre-source fanout window (seed 2803b7f3)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2058", + "updated_at": "2026-10-14T18:45:14Z", + "state": "open" + }, + { + "number": 2080, + "title": "RELEASED \u2014 P104 terminal correction overlaps #1167", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2080", + "updated_at": "2026-10-14T19:07:23Z", + "state": "open" + }, + { + "number": 2119, + "title": "FINDING: Phase B has only 12 mixed rank-six candidates", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2119", + "updated_at": "2026-10-15T01:16:13Z", + "state": "open" + }, + { + "number": 2121, + "title": "FINDING / HANDOFF: delayed-query P104 side word and its cost limit", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2121", + "updated_at": "2026-10-14T21:34:58Z", + "state": "open" + }, + { + "number": 2211, + "title": "DONE: selected CI navigation and regression check, preserving #626 history", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2211", + "updated_at": "2026-10-15T00:09:27Z", + "state": "open" + }, + { + "number": 2238, + "title": "FINDING / HANDOFF: selected complex compact adapters with sequential repair", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2238", + "updated_at": "2026-10-17T17:53:43Z", + "state": "open" + }, + { + "number": 2253, + "title": "FINDING / HANDOFF: selected complex layer and recursive precision closure", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2253", + "updated_at": "2026-10-15T07:19:59Z", + "state": "open" + }, + { + "number": 2299, + "title": "DONE: P104 private reuse composes with coalesced frames; owner invoice still loses", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2299", + "updated_at": "2026-10-15T04:30:05Z", + "state": "open" + }, + { + "number": 2319, + "title": "Selected BIT first-node caller and recursive-return handoff", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2319", + "updated_at": "2026-10-17T20:51:37Z", + "state": "open" + }, + { + "number": 2333, + "title": "DONE: Windows selected PR1094 successor replay (PR2336)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2333", + "updated_at": "2026-10-15T16:05:44Z", + "state": "open" + }, + { + "number": 2347, + "title": "DONE: opt-in owner-bound selected replay successor (PR2355)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2347", + "updated_at": "2026-10-15T06:21:12Z", + "state": "open" + }, + { + "number": 2352, + "title": "DONE: fixed-code polar E8 gluing excluded over 120 transvections", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2352", + "updated_at": "2026-10-15T06:38:42Z", + "state": "open" + }, + { + "number": 2424, + "title": "DONE: QQ16 all-axis read criterion and sharp 88-port threshold", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2424", + "updated_at": "2026-10-15T12:05:21Z", + "state": "open" + }, + { + "number": 2463, + "title": "DONE: T74 raised-entrance wrappers independently bound and checked (#2472)", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2463", + "updated_at": "2026-10-15T11:58:20Z", + "state": "open" + }, + { + "number": 2606, + "title": "CLAIM: PR2530 source-partner handoff cuts, independent dirty-lender audit", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2606", + "updated_at": "2026-10-15T22:27:14Z", + "state": "open" + }, + { + "number": 2612, + "title": "Cost-aware source-partner helper assignments above PR2588", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2612", + "updated_at": "2026-10-17T21:07:41Z", + "state": "open" + }, + { + "number": 2616, + "title": "CLAIM: T74 PR2575 owner evacuation, exact allocation and all-exponent cost audit", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2616", + "updated_at": "2026-10-15T16:50:04Z", + "state": "open" + }, + { + "number": 2648, + "title": "Independent QQ16 completed-defect audit and feedback guard refinement", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2648", + "updated_at": "2026-10-15T16:57:25Z", + "state": "open" + }, + { + "number": 2650, + "title": "DONE: zero-early-retention QQ16 comparison with higher native cost", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2650", + "updated_at": "2026-10-15T19:02:31Z", + "state": "open" + }, + { + "number": 2791, + "title": "CLAIM: exact terminal X/Y readouts of the selected centre-error response", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2791", + "updated_at": "2026-10-15T22:41:36Z", + "state": "open" + }, + { + "number": 2887, + "title": "DONE: current-status review navigation through efficient1800", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2887", + "updated_at": "2026-10-16T07:44:22Z", + "state": "open" + }, + { + "number": 2976, + "title": "DONE: selected scatter parity versus record-export membership", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/2976", + "updated_at": "2026-10-17T18:21:00Z", + "state": "open" + }, + { + "number": 3145, + "title": "HANDOFF: T740 allocation for the rank-7 coupled inventory", + "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/3145", + "updated_at": "2026-10-17T18:18:46Z", + "state": "open" + } + ] +}

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