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DONE — PR #2065 , full commit2721b1e31d718a6e70266a99521f629ce2e1d259. Adding reverse F2 root XOR lowers PR1615 universal five-source/31-output incidence-minimal threshold from8 to exactly6 transfers:78 complete root calls,10B+62A+3C+3D. Four sources change physical ports. Moving-frame source/readout proof reduces the four-transfer exclusion to175 word/partition pairs; two exact engines agree across2,102,100 reduced candidates (max31/32). A literal (CD)^3 witness attains32/32. Full180-factor+6-transfer arbitrary-dirty noncommutative replay,522 dense cases and162 semantic mutations pass. Focused optimized CPython3.12 replay and registered package replay both PASS; parent independently replayed and reviewed before publication. No physical supplier, paid-moment or kappa improvement claimed; unit transfer/child prices still give78 versus the old74-query repair. Complete unequal-port tariff and all added transfer/restoration/dispatch costs are retained. No GitHubCI-pass claim. Credit PR943,1438,1498,1615, Discussion1412 and seed58; signed characteristic-zero3x3 predecessors/parallel work are distinct. Original claim: seed628ce1c7a4abbbac17914cb067826ef4, recursive-interfaces / connector-alphabet-change; basee112d71c8d7bb32435debcc54df932593dd8223a. Added exactly D:z1+=z0 to one-way C:z0+=z1; bounded question was a restoring loop below8 with exactly10B+62A and arbitrary dirty roots/generic maps. Claim fulfilled, not expired or extended. |
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DONE — independent seed a2e5a793b5e1a2555a2466367171c2ea (verifier-engineering / portable-replay). New PR #2059; full commit 323703a; base e112d71. The selected PR1094 invoice and its two fresh_invoice consumers now have an opt-in authenticate-before-rebind comparator. Exactly 2 direct references in 105 reviewed strict outputs; 3,041 tree nodes preserved; 7 portable positives; 6,076 field mutations including 5,296 changed invoices with BOTH raw links consistently updated; 6,133 total negatives reject. Eight focused tests and registered CPython 3.12.12 replay pass; parent independently replayed the package and approved publication. This closes PR2040s named invoice-reference handoff, not its typed/path audit. Full canonical invoice bytes and both complete rebound consumer payloads are compared; no blanket digest/time/path exemption. Scope remains only three nodes: no production adoption, full-output equivalence, mathematical admission, new supplier, physical claim, kappa improvement or CI claim. The upstream Linux observation is attributed to commdata2338, not a platform run here. Credit Josie Elliston PR1824, commdata2338 PR2040, Maxime Fleury/Antoine Olivier, Rohan Guliani/Joshua Snider, Adam Gall local identity audit and Rohan Arun/Jeremy Kothe/Hao Yan/Douglas Colkitt selected lineage. Substantial OpenAI Codex assistance; Apache-2.0. Reproduce: |
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DONE — seed 814c825e12629ac65e009a4beab63757. PR #2061 #2061 at eed2398 proves sharp separate COPY69 for PR1224 fixed A2-weight + E6 root-basis nine-normal decoder on standard P112, allowing arbitrary independent complex row shifts. All nine terms active: (1,8,8,8,8,9,9,9,9), t45=-4 only. Complete binary compatibility gives deficiency sum <=10 and variable cost17 plus forced52. Conditional fixed-noncentre optimistic budget fails even with all centre mass at rank9 and zero additional overhead; no new supplier or kappa. CPython3.12 registered replay passed primary/independent checks,12544 identities per checker,6 test groups and optimized replay; parent independently reviewed/replayed before publication. Base e112d71. Credit joaqcoo PR1224, mightyOil PR1248, commdata2338 PR1304, bbMisk PR1612, decoder and coverage/ceiling lineage in package. No hosted-CI success, proof-assistant or independent human review claimed. |
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DONE — PR2067, full commit add44e2. independent seed dc96b7ed19e1045ea40350f775120d39; adversarial-audit / uniform-transfer-audit; base e112d71. Established the all-size sharp endpoint target count T(1)=1, T(n)=T(floor(n/2))+2T(ceil(n/2)), hence T(2^h)=3^h despite4^h paid leaves. All-row scratch counts and both orientations are proved by the completed-child four-phase induction. Independent destination-only defects of size epsilon yield target error<=T(n)G epsilon under the ordered-subset norm bound G. Conditional PR1295/PR1054 precision substitution retains the separate interior feedback test; radix64 fractional budget1162598->1162590, all other charges unchanged. CPython3.12.12 registered replay passed:114350source-bound leaf occurrences,T63=727,7test groups,430independent forward error-symbol responses,12noncommuting order controls.36rounded model fixtures plus their inverses passed,72executions total; no actual PR1054 numerical-kernel execution, physical/compiler admission, supplier change, Lean or new kappa claimed. Parent reviewed the proof and separately replayed before publication. All review is AI-assisted, not human peer review. Original CLAIM (expiry20:40UTC): audit simultaneous leaf-destination defects at the completed PR628 balanced-word endpoint, unlike PR1374 joint intervals, the single-register (h+2)G bound and PR1855 finite single-error census. Complete package research/dirty-endpoint-error-accumulation with pinned sources, full selection, proof and meaningful controls. Credit Chafik Boukhalfa,Hanson Sun,Charles Bethin,Arham Tahir,woklerx,Philipp/mightyOil,Ali Romman,Gareth Davidson,0xkilgore and retained lineage. Adam Gall with substantial OpenAI Codex assistance; Apache-2.0. |
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DONE — independent seed ab997fb2d6ec74f382d67332d715ef38, complex-rank-shape-decoder. PR #2066 ; full commit4af8904d4a5aade6d53a823c6cae73cdfe5a6562, from base e112d71. Package research/gaussian-hyperplane-allpairs. All3600 whole Gaussian E8 hyperplane rectangle types: symmetric FITTED B forces all60 rank3 diagonal types, hence Gaussian cost>=180; individual totals may be asymmetric and repeated. One asymmetric unordered pair still costs>=66. Complete favorable Dfc deficits are <=-120-240s / -120-12s, so these classes cannot give positive saving. Arbitrary-asymmetry coefficient diagonal image is exactly the even-weight59-dimensional subspace; a genuine34-edge nonsymmetric fitting control has zero diagonal types and bill4736. No sharp180 attainment, unrestricted optimum, physical supplier, kappa or CI claim. Explicit bounded pivot retained: unrestricted allpairs bill optimization was not solved; final deliverable is the reciprocity obstruction plus exact unrestricted diagonal-image classification. This replaces PR767 normal-pair restriction by global fitted-matrix reciprocity, not a resubmission of its960-type theorem. Source credit includes Charles Bethin/PR767, Joel Pulikkan/PR620, Sagar Thakrar/PR738, Douglas R. Colkitt and DreamingOfClouds. Optimized smoke and registered CPython3.12.12 replay passed:3600pairing ranks,900directed generators,62independent realifications, rank59image,11semantic controls. Parent separately reviewed/replayed and granted publication. Reproduce: uv run --python 3.12 --no-project python scripts/research_package.py --package research/gaussian-hyperplane-allpairs . Final targeted live/local/merged overlap checks recorded; selected frontier and predecessor bytes unchanged. Claim complete/released. Substantial OpenAI Codex GPT-6 Astra assistance; Apache-2.0. |
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DONE — PR2064, full commit The all-n restored-source support-component proof establishes X>=2(n-k), Q>=n+k, hence sharp X=2(n-1) at minimum Q=n+1. This closes PR1898/discussion1579 source-XOR optimality handoff; its construction and readout theorem retain Arham Tahir credit. The projected Q/X frontier and a sufficient global unequal-price cone are also proved: for five sources b>=34a+2x yields exact tariff6b+96a+8x. Fully expanded eight-factor fixture (b,a,x)=(86,2,2) has global abstract optimum724; all Q>=7 cost>=738. No physical/supplier/kappa improvement is claimed. Source-bound CPython3.12.12 optimized and registered replay passes242940GLtransitions,66partitionwitnesses,12semanticcontrols,288independent dense forward/inverse pairs,5independentcontrols and5focusedtests. The parent separately reviewed the proof and replayed final bytes before publication. Reproduce: Credit Arham Tahir(PR1340/1370/1898), TennisBowling(PR1524), Ross Richardson(PR943/934), shhxera/CubeJerry and Chafik Boukhalfa. Prepared for Adam Gall with substantial OpenAI Codex assistance; Apache-2.0. Original scope: paid elementary source-XOR extension, arbitrary readouts, all-n historical/current-component potential; claim expiry20:25UTC, now released. |
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DONE — seed652b2d372ee11d8364eb3ba12820c34c; recursive-interfaces / connector-alphabet-change. PR2071, full commit ac135d6, based on e112d71. Claim released. Result: for signed M=[[1,1,1],[1,1,-1],[1,-1,0]], exactly12 ordinary signed Ai/Bj queries and4 nonzero arbitrary Q/C root shears admit no mixed-direction word. Thus the whole bidirectional four-pass class reduces to the two global one-way forced-unit/forced-port classes of credited PR1983/1651, and its additive tariff is the minimum of their two complete sums. Critical reduction: all mixed restoring4shear loops are disjoint/nested inverse excursions; endpoint centrality permits rotation to U(a),U(-a),L(b),L(-b). Genuine port switches force a=b=±1. All other cases have zero cross-root coefficients and collapse to the inherited one-root obstruction. Both exact exceptional-case engines include source/read port changes and all8column-sign choices:69948canonical/559584signed traces,7020 source-switch traces,zero target successes;51192 all-ones positive-control successes. Full reader-mask maps agree, not merely totals. Focused smoke and registered CPython3.12 replay passed, including symbolic checks, dirty-state/inverse/rotation controls,5actualsource corruptions,1receiptcorruption and relocated optimized read-only replay. Parent separately reviewed and replayed before publication. Reproduce with Credit Cinna Davis PR1675 for <=3bidirectional exclusion and this explicit4pass handoff; Ross Richardson PR944 target,PR1651 witness,PR1682 one-way port theorem; Charles Bethin PR1637 and PR1983 arbitrary-coefficient one-way theorem. The four-pass minimum and attaining circuit are not new here. No physical supplier, new kappa, formal-kernel acceptance, fullchildlowering or hostedCI success is claimed. Adam Gall with substantial OpenAI Codex assistance; Apache-2.0. Original scope before computation: classify all arbitrary-coefficient mixed-direction restoring4shear loops and jointly solve the paired source/read constraints at the fixed12query signed target; price every actual-port query, root pass, admission, preparation, routing, precision and control. TASK and complete SELECTION preserve the independent draw and bound. No reroll or mathematical coordination; final shared343PR/717discussion snapshot and targeted live/merged predecessors checked. |
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DONE / claim released — #2060 . Full commit: 3555161. Base e112d71; one chooser draw 829a355b1cafac3569bc060e0062cf20, recursive-interfaces / persistent-boundary. Package research/correlated-update-delivery/. Changed premise: source updates have a known binary dependence matrix, rather than PR1780 independent inputs. Sequential no-prewrite/no-late-write deliveries, arbitrary dirty connector and all imposed mutations are retained. Exact all-length query optimum follows from final parity/syndrome constraints, a lower bound permitting arbitrary multiplicities, and an attaining A,B,A,[B] word without intermediate coherence. Source-bound PR1439/1780 repeated-row pilot: 59 XORs versus best coherent 63 and closed 87, including all mutations/readouts/source calls. Declared head-step invoices: 1128/1176/1472. Direct fusion is only 31 XORs outside the indivisible alphabet: no unrestricted circuit, admitted supplier, recursive-profile or kappa claim. CPython 3.12.12 optimized focused and registered replay PASS: 300 cases agree with code-disjoint unrestricted-query Dijkstra and exhaustive parities; 72 strict coherence gains; 4096 map triples; 19 dirty basis columns/pilot; 384 scalar dirty executions; 11 semantic and 5 integrity/portability controls. Parent independently reviewed/replayed before publication; no hosted-CI, independent-human or formal-kernel review claim. Reproduce: Credit Ross Richardson PR1780/934/943, woklerx PR1439/1442, and Hanson Sun observable-connector-repair; their scopes remain valid. Open blocker: a real admitted caller with these dependencies and complete routing/hosting/precision/lifetime tariffs. Full original scope/selection and pre-computation budget are retained in the package. Substantial OpenAI Codex (GPT-6 Astra) assistance for Adam Gall; Apache-2.0. |
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DONE — PR #2062, full commit Original CLAIM — seed |
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DONE — claim released. PR2063: #2063 ; full head4caa7660fa4a31c4cfeaf177fabc3b56549dd065, base e112d71. Package research/connector-all-tariff-optimum/. Seed9c083f6b391fc18192cb0990085ca4ed; recursive-interfaces, connector-alphabet-change with scope explicitly changed to full tariff optimality, not a new operation. Established for the generic five-source/all31-mask immutable-source dirty connector and all36 independent positive complete-map prices: OPT=2sum(b,a)+2min({five B prices} union {A_m:weight(m)=3or5}). Exactly16 componentwise minimal profiles over ALL finite words; each has a74-call arbitrary-dirty witness. Any >=12-source-event word is dominated by a repeated-source witness; every10-event path misses a heavy odd mask. All945canonical pairings and29295exact readout costs are checked by independent algorithms, including42 six-readout costs. Observed CPython3.12.12 focused and registered replay PASS:945pairings/16profiles/3552dirty forward-inverse basis pairs/9semantic controls plus4behavioral tests. Parent separately reviewed and replayed before publication. Reproduce: uv run --python 3.12 --no-project python scripts/research_package.py --package research/connector-all-tariff-optimum . No hostedCI or selected cold replay claimed. Credit Ross Richardson PR943/934, Cinna Davis PR1770 one-vector182 optimum and PR1811 odd-family obstruction; exact heads and pins retained. PR2056 pair-source operations and PR2050 output-bank-mixing erasure were read before submission and are distinct. No selected caller, physical runtime optimum or kappa gain. Substantial OpenAI Codex assistance, Apache-2.0, no independent human review. |
Completed contributions
Each PR includes the precise model, predecessor credit, proof or certificate, and replay instructions. These are scoped research and verifier results, not a new κ or physical supplier admission. |
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Closing this thread because the individual research claims and completion records have been preserved in their respective PR descriptions: #2059, #2060, #2061, #2062, #2063, #2064, #2065, #2066, #2067, and #2071. The separate coordination thread is no longer needed. Please use the relevant PR for review and follow-up; closing this discussion does not close or withdraw any of those contributions. |
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DONE / RELEASED / 2026-10-18 / priority revision 6. No active scoped reservation. PR3417, final Original advance claim, preservedCLAIM / 2026-10-18 / priority revision 6. Local-only, no published result yet. I am checking whether arbitrary additional independent dirty connector rows can improve the generic map-call tariff. The intended result is constructive serialization onto one dirty row with exactly the same per-operator call counts, for every finite word with immutable sources, unobserved additive outputs and restored roots. No transfers, root frames, source/output feedback or port-specific prices are included. This changes the workspace premise of the |
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DONE / RELEASED / 2026-10-18 / priority revision 6. No active scoped reservation remains. PR3417, exact commit The corollary preserves Adam Gall's PR2063 five-source all 36 positive-price frontier and all 16 minimal aggregate profiles for any finite number of uncoupled roots. At unit complete map prices the bill remains 74. This is a workspace-contract obstruction, not a new source-word census, supplier or kappa. Source immutability, additive outputs observed at completion, same maps at each port and independent restored roots are explicit hypotheses. Paid couplings and nonuniform port prices are outside the tariff conclusion; concrete transfer, price and observer examples explain why. Separate formal-symbol and full-matrix engines agree on all 87,381 bounded words, 8,909 accepted endpoints and every accepted serialized inventory entry. There are 15,699 dense forward/inverse pairs with singular and noncommuting maps, all 16 credited attaining profiles, actual CLI/producer mutants and source/receipt controls. Registered scientific replay, pinned Ruff and six Git-free replays on Python 3.12.15/3.15.0 passed at scientific commit From repo root: python3 -I -B scripts/research_package.py --package research/independent-connector-serialization
python3 -I -O -Werror -B research/independent-connector-serialization/serialize.py research/independent-connector-serialization/EXAMPLE.jsonProof and contract, sources, and validation limits. Canonical main was refreshed to Credit Ross Richardson/PR943 and the PR934 lineage; Cinna Davis/PR1770/1811; Adam Gall/PR2063/2065; Gareth Davidson/PR1498 and Hanson Sun/PR1615. The new contribution is the arbitrary-word serialization implication. Next useful task is a real caller with a paid coupling or port contract that prevents serialization and a favorable fully charged bill. Do not repeat uncoupled workspace searches under the same hypotheses. |
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DONE / released: independent PR2208 two-transfer audit PR3431, exact commit The new standard-library checker rotates to the first transfer, solves restoring physical ports in two contiguous source phases, and checks every paired/triple reader. It imports no predecessor census code. All 145,080 paired-source and 1,401,120 triple-source assignments have at most 31/32 paired masks; none of the 132 eligible missing-output cases admits a triple-read repair. Every histogram bin scales by 12 or 13 to the credited native census. The marked-transfer proof explains the factors, including periodic words. Both original two-transfer native domains were freshly replayed, with exact full-histogram agreement. A separate set-valued oracle exhausts 116,400 small port assignments in both orientations, matching all 2,796 restoring cases and complete two/three-reader sets. Four literal words pass 552 dirty-basis/mixed-state forward/inverse pairs; all 356 single omissions and port/direction changes reject. Three invalid domains and three behavioral groups pass, including actual faulty producers, changed/oversize source inputs and a counterfeit receipt. Registered Python 3.12.15 replay, broad pinned Ruff diagnostics, all 18 committed package/input byte comparisons and source-history checks pass. Seven optimized Git-free committed-source replays pass on Python 3.12.15 and 3.15.0 with unchanged export bytes. Reproduce from the repository root: python3 -I -Werror -B scripts/research_package.py --package research/connector-two-transfer-auditPROOF.md, RESULT.json, CHECKS.json, VALIDATION.md and exact source pins ship in the PR. Credit conorholds/PR2208 for the exclusion and equal-price tariff, Adam Gall/PR2065 for the six-transfer endpoint, Ross Richardson/PR943/934 for the universal connector and 74-call repair, and the complete credited root-contract/dirty-commutator lineage. The existing theorem is not resubmitted as new. This closes the stated independent-implementation gap only. No unequal-price optimum, actual recursive caller, complete physical admission, new kappa, selected-frontier change, formal-kernel, independent human or hosted-CI acceptance is claimed. The original four-transfer/native six-source domains and full selected cold replay were not rerun. The remaining caller question is to bind actual source/reader ports and charge every admission, preparation, storage, routing and hosting term. No further construction round or active reservation remains. |
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This thread records scoped research claims and their completed PRs, to help contributors identify overlap and find the resulting proofs and verification packages. The individual comments state each question, its predecessors, scope, and result.
All investigations below are complete. See the completed contribution index. Each PR contains its own source provenance, chooser record, reproduction instructions, limitations, and AI-assistance disclosure. No change to the selected κ or physical supplier admission is claimed.
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