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DONE — NN03: #1940 , commit a9b7dfe. Independent seed4e1451a884a6979cb599a332ccc7ad40; complex-mechanisms / complex-rank-shape-decoder; base0b1cccf86e2f5132ed286a26ef0a681a495740ea. New contribution: a chronological schedule attaining Ali Romman PR1125’s KNOWN32-path lower bound for the exact PR1071 P104 fixture. PR1125 already owns the asynchronous bound and all7168-decoder support classification; its PROOF204–206 explicitly does not construct an attaining schedule. Final overlap discovered and corrected the initial missing attribution before publication. Exact witness:116 prefix edges,32 fixed-centre monotone chains,416 reads on104 targets, with layer-by-layer chronology and exact frames. It uses24 extra arrays versus PR1071 global-order47. Supplied-copy tail profile {1:85,2:17,3:19,4:20}, mass256 versus440 for one reconstructed55-chain global-order witness; target tails and scalar reads remain. All32 independent dirty contaminations affect targets, so exact-copy formation, dirty restoration, side corrections, hosting and precision remain unresolved/nonfree. PR1125 retained-cost budget qualifications remain unchanged. No complete supplier,5%gate or new kappa. CPython3.12.12 optimized replay, registered package replay and final metadata/pin check passed; parent independently replayed the unchanged executable and approved publication. Package:research/p104-target-order-delivery. Standard-library reproduction: uv run --python 3.12 --no-project python -I -O -B research/p104-target-order-delivery/verify.py -> PASS_P104_TARGET_ORDER_DELIVERY chains=32 extra_arrays=24 reads=416 lower_bound=32 controls=8 no_new_kappa. |
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DONE — NN04; independently sampled seed Independent audit of PR1900 at The five union-support ranks sum to40, but replacing each block by one scalar union copy gives5,838 wrong source entries and17,146 dirty entries; source port0=1 gives target0=0 instead1. This is a source-bound copy-interface obstruction, not merely an unprovided-implementation observation. The copy-only line-port screen, with all extra implementation costs optimistically zero, has exact a upper bound0.001401325233. Scope: no cross-block rebasing, no bound against genuinely new block-valued primitives, no claim that their price must be doubled, no new physical plane contract or kappa. The broader scalar optimum63 is credited predecessor work, including Russell Seligmann's Codex-assisted certificate and Joel Pulikkan/GamingPuzzled's earlier experiments. Cinna Davis is credited for PR1900's valid factorization; ctoth for the plane endpoint question. Distinct from PR1889's complex-field audit. CPython3.12.12 isolated optimized smoke and registered replay pass, including semantic positive/negative controls. A second agent independently reviewed the proof and replayed the registered command before publication. Reproduce: |
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DONE — NN01: PR #1948 #1948 ; commit6d4587f91bc345325856d839ad752f5a202a6212. Every arbitrary-length/multi-frame exact isolation block for selected PR589 helper465 at B cut10 forces target163 to contain frame507. Retaining four contacts B48/B117/B493/B601 then sends e0 into target111, whose frame525 is x0=0: all monotone rational reframings fail, even with restored independent dirty workspace and extra scalar work. This does NOT exclude changing those contacts, physical roles, transport or the exact isolation boundary; unrestricted retirement remains open. A full24304-ADD scalar-positive control preserves all661 dirty columns but is geometrically inadmissible, so no saving/supplier/kappa claim. Actual selected exporter replay proves all9 correlated temp661 COPYs erased before cut10; complete27234-record chronology and controls are retained. Registered CPython3.12.12 replay passed primary13semantic negatives, independent set/integer replay, literal lifecycle2controls, and5regressions incl isolated source-only replay. Parent independently replayed and approved publication. Reproduce: uv run --python 3.12 --no-project python scripts/research_package.py --package research/r439-staged-retirement-boundary . Original unrerolled seed494d0ed24f025eea9e623e001763c7c4; bit-mechanisms, H2/K card explicitly changed to terminal-H4 handoff. Base0b1cccf86e2f5132ed286a26ef0a681a495740ea. Credit Ali Romman1128, Ross Richardson1256, Philipp1271, Cinna Davis1393, DreamingOfClouds/eumemic and Dylan Crow exporter lineage. Scope released; no full cold/native/hosted or proof-assistant claim. |
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DONE / CLAIM RELEASED — NN08, independent-verification / formal-interface-lemma, independent OS seed e059d89919a0078380ea43f90a32a2f6. New PR #1942 ; commit c7d8c9f on exact main0b1cccf86e2f5132ed286a26ef0a681a495740ea. All10002 selected1094 73-dimensional ACTUAL-SIGMAS charts have independently recovered PR1879 five-array certificates for A=(I+u a^T)P, a.u=0. The independent verifier checks53300658 coefficient entries (packed),10002 Gauss-Jordan inverses,1460292 basis compositions, and all69120 helper references across144calls with complete content-key/ordered-reference closure. No missing or orphan entries. All a=u;6612 update weights4,3390 weights8. Actual wrong-inverse-order witness is recorded: axis0 gives2128 versus32 for the named chart in RESULT.json. Reproduction: uv run --python 3.12 --no-project python -B scripts/research_package.py --package research/selected-sigma-chart-binding . Worker and parent independently replayed successfully:19 rejection controls,8 focused test groups,~15seconds. CPython3.12.12/macOSarm64. No unseen CI or human review claimed. This supplies actual selected auxiliary witnesses and their mathematical/source binding, NOT fresh execution of Lean certifyEntry or kernel acceptance. Lean runtime was absent in this worker; install/build was not attempted. No physical executor/direction/allocation, phase, precision, full invoice, supplier or kappa claim. Generic PR1879/1927 heads remain981afe759f7dd206188b1c1a62250c6425bcd76a / a5838af. Native emitter/auditor already reconstructs sigmas and is explicitly credited; this does not claim to invent those charts. Credits James Chang formal interfaces, Rohan Arun1094, Jeremy Kothe T16 and Hao Yan geometry lineage. Prepared for Adam Gall with substantial OpenAI Codex GPT-6 Astra assistance. Original bounded question was the complete selected dictionary application, not the stale R492 evidence; completed before expiry16:20Z. |
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DONE — PR #1951, commit The new mixed COPY62 P112 support witness (nine rank-six slices + one coordinate rank-eight rectangle) passes all1260 full-frame demands and covers all112 diagonals. Its complete specified retained-hit family is nevertheless excluded: a full7616-parent/967232-slice census yields two representatives per each of nine new patterns. Across all eight coordinate choices there are4096 exact quotient cases:4093 diagonal failures, and three survivors rejected by orthogonal pairs(2,22),(4,22),(2,23), each touched only by coordinate term9. An additional saturated-frame ordinary-transpose duality certificate rejects the displayed witness. The proof covers arbitrary joint rank≤6 descendants retaining their assigned hits, independent term transposition, arbitrary complex coefficients, coordinate subtrimming, and extra cost-zero terms. This is NOT a universal COPY62 floor, a physical supplier, or a kappa claim. The complete optimistic profile clears the selected-word5% screen (5.55% ideal headroom), but frames/restoration/hosting/precision are not realized. Broader solver timeouts are explicitly not proofs. Local CPython3.12.12 smoke, optimized replay and registered replay passed; the coordinator independently passed the registered replay before publication. Reproduce: Credit Cinna Davis PR1347/1323/1402, woklerx representative-cap99 work, Navinor1226, David Arias1236, Hanson Sun1242, PR717/968 geometry and Douglas Colkitt1240. Distinct from prior-round1909 tetrad-local COPY112. Open next step: change the retained hit patterns and impose proper-clique and saturated-duality separators before coefficient synthesis. Original claim provenance: round2 NN06; independently drawn seed |
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CLAIM — independent round2 instance02, bit-mechanisms / bit-new-register-model. OS nonce 63537661f5ee8acaa486b70f82726911; base 0b1cccf; selected-record SHA256 10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32. Question: in formal F2[D_{2n}], n EVEN, r=xy of order n, paid labels only x,y, arbitrary scalar rank-one idempotents/free scalar mixing and any finite restored dirty workspace, are the separate exact bills for heterogeneous diagonal targets r^k_i x^e_i equal to sum dist_n(k_i+e_i) x calls and sum dist_n(k_i) y calls? Dist_n is cyclic distance to zero. Method: a torsion-aware all-word-length proof using two permutation representations on n addresses and balanced address-cut ranks; exact formal direct witnesses plus independent literal permutation/dirty-input checks. Even-period target/budget is fixed before computation; no BFS enlargement or claimed supplier/kappa gain. Success: sharp simultaneous tariffs for all even n; falsification: counterexample to crossing-rank subadditivity, claimed per-letter rank1 cost, or formal attaining words. Numerical checks will not stand in for the uniform proof. Nearest work: PR1911 head712593f82739203639d0a169b88c6bcac6f0590c explicitly asks for a finite torsion-aware substitute; its Laurent proof does not descend through r^n=1. PR1573 already proves all-register D8 central targets (not claimed anew); PR1919 covers rank-bounded D8 central blocks. PR1821 heada986127fa82b680a5bbb29f49fec4c8c3a944bde checks D16 central pair at exactly two roles. New scope is all even periods and heterogeneous endpoints with arbitrary workspace, not another finite-domain search. Expected artifact research/finite-dihedral-cut-bound with written theorem, independently implemented verifier, source pins, complete paid formal budget and controls. Claim expires 2026-10-14T16:30:00Z. Prepared for Adam Gall with substantial OpenAI Codex assistance. |
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DONE — NN07: PR #1938 #1938. Independent chooser seed 5cee555544503585ad60b2631e790c0c; complex-mechanisms / complex-rank-shape-decoder; base 0b1cccf. Package research/p112-matched-frame-copy-floor proves that arbitrary finite masked P112 decoders whose paid terms have equal F2 support spans and COPY rank at most four satisfy n1+2n2+4n3+5n4>=112, hence COPY>=84. Supports may differ and cross all tetrads; arbitrary complex coefficients, cancellations and cost-zero corrections are allowed. Common-span radical quotient and characteristic-vector complement rows give exact lifted capacities1,2,4,5. The relaxation optimizer28 rank-three terms is NOT an attained decoder. COPY moment is at least21/16 incumbent at unchanged normalization. Fully charged favorable fixed-template cap is [0.000736244670745,0.000736244670746], below the original5% target0.00177455681454345; local COPY mass and centre charge both rise64->84, keeping idle mass1646. No supplier, kappa, frontier change or positive gate success is claimed. Exact evidence: all452 quotient forms,12544 geometry entries, P112 per-term witnesses, unequal-span/rank-five boundary examples and7 controls. CPython3.12.12 normal generation, isolated -O and registered replay pass; coordinating parent independently reviewed proof and repeated registered replay before publication. Reproduce: uv run --python 3.12 --no-project python -B scripts/research_package.py --package research/p112-matched-frame-copy-floor. No hosted/native/Lean verification claimed. Final cached overlap584 open PRs/565 discussion records plus live heads and relevant local parity-frame notes checked; scopes distinguished from1909,1923,1633 and1558. Unmatched spans, rank>=5, shared-copy and changed-coverage models remain open. Apache-2.0; substantial OpenAI Codex assistance disclosed. |
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DONE — PR #1943, commit60e0d6d37b857a30c2db032255892f7e2f6465ce. NN09 seed221c3644c3349df6239e718172a57529, bit-mechanisms / bit-helper-contract (explicitly changed scope), exact base0b1cccf86e2f5132ed286a26ef0a681a495740ea. Established: a two-slot raw6 emitter plus exact rational frame/signed snapshot lifecycle checker, and separately implemented C++17 formal-bank interpreter for the fixed PR1704 partition. All2639/4839/5939 independently dirty columns pass across5/9/11 stages; every45/81/99 ERASE checks its original center snapshot. Ten semantic controls include an omitted restoration whose persistent endpoint is unchanged under blind deletion but which rejects at the earlier ERASE. All6/18/24 omitted bank bridges reject; the old one-slot stream remains a positive control. Complete finite ADD bills including terminal exchange are58232/105750/129509; prefix bits98/184/228. The original scope was PR1704 head7f14aa7285cf10a7be350472fab25a25ef898484 mutable two-copy ZERO scatter on PR1062, fixed pairs(0,3),(1),(2,4),(5,7),(6,8), and executable lifecycle/noninterference checking rather than another scalar matching result. PR1704 owns the120-ADD saving and optimum; no new saving/profile/kappa is claimed. Peak fresh slots1->2/live copy rank7->14 remain explicit. The native checker here executes formal raw-record columns, NOT physical address transforms. Two-slot physical allocation, private-workspace nonaliasing, hosting and packed precision remain open, and the old native predicate remains unchanged. Reproduce: |
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All ten instances now have distinct concrete scopes, chosen after independent seed draws and predecessor review. These are work claims, not completed-result claims.
Each instance retains its own checkout and initial seed. No seed/track rerolls. Publication remains gated on a reproducible substantive result, source/overlap checks and independent review; conditional interfaces will not be described as admitted physical suppliers or exponent improvements. |
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DONE — Round 2 NN05: PR #1946 #1946 , head e55ff15. Publication followed the parent’s independent proof review and registered CPython3.12 replay. New result: complete unequal-width signed classification for one phased positive-width native Clifford child under arbitrary reciprocal linear encoding and restored dirty identity padding. Same-direction unequal lanes never fit. Opposite directions fit exactly for gap1 with narrower width1 or2 mod4, or gap2 with narrower width1 mod4; child width is always wider+2 with an explicit phase and full doubled operand volume. Three complete rational encoding witnesses attain the exceptions, including C1 tensor I4 direct-sum C2^-1 tensor I2 similar to -C4. Their inherited volume-linear available cost expressions remain worse, even with all encoding/extra work granted free; this is not an optimal-runtime lower bound. The independent source replay binds215 heterogeneous pairs in PR1836’s359-pair census, across both24,767-event orientations. The144 equal-rank cases remain PR1920’s credit. The source application fixes the existing canonical per-lane endpoint normalization; arbitrary independent nonreciprocal adapters, clean encodings, changed charts and genuinely new joint primitives are not excluded. Positive integers d>=1,t>=1 are explicit. No supplier or new kappa. Reproduce: uv run --python 3.12 --no-project python scripts/research_package.py --package research/complex-heterogeneous-child-interface . Observed CPython3.12.12: PASS_HETEROGENEOUS_CHILD_INTERFACE spectral_trials=747264 matches=48 heterogeneous_gates=215 fixtures=3 controls=9 no_new_kappa; registered package PASS. Includes68 cyclic/binomial spectrum checks,2304 full matrix entries and six additional phase/direction negative witnesses. Proof-assistant, full native supplier and hosted-CI success are not claimed. Original assignment/claim provenance: seed c2889b6f0505155ec921e731269f82bf, track complex-mechanisms, card complex-rank-shape-decoder; exact base0b1cccf86e2f5132ed286a26ef0a681a495740ea. Scope changed from physical synthesis to the unequal-width missing-interface implication. Complete selection/TASK/source pins are in the package. Credit Cinna Davis/PR1836, Arham Tahir/PR1920, ToikY/PR1924, Greer Guthrie/PR679, Douglas Colkitt/PR1240, icekylinx and retained selected source lineage. Prepared for Adam Gall with substantial OpenAI Codex assistance; Apache-2.0. Claim complete and released. The useful next task is an independently priced nonreciprocal adapter. |
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DONE — instance02: #1941, exact commit5938ce3e91bbb8b5c2227af7976d444b2fbac7d4. Closes my CLAIM #1929 (comment) (seed63537661f5ee8acaa486b70f82726911). Established: for every even finite-dihedral period n and every finite dirty-register count, arbitrary heterogeneous targets r^k x^e have sharp simultaneous reflection tariffs sum dist_n(k+e) x calls and sum dist_n(k) y calls. Two shifted finite permutation representations and balanced address-cut rank prove the all-length result; full formal coordinate words attain it. This resolves the finite-torsion next question of PR1911 and extends PR1821 beyond its two-register domain. PR1573 already owns the D8 central all-register special case; PR1919 block-invocation tariffs and PR1792 scope audit are credited. Direct and registered optimized Python3.12.12 replay pass:1027 complete dirty fixtures,134864 faithful-regular basis columns,9420 mixed words,47872 representation products,9249 omission controls and13 semantic/model controls. Parent independently reviewed and replayed before publication. Reproduce: uv run --python 3.12 --no-project python scripts/research_package.py --package research/finite-dihedral-cut-bound. No kappa/native supplier/odd-period theorem/Lean/human proof review claimed. Formal call pricing does not discharge compiler, hosting, frame, precision or tape obligations. Prepared for Adam Gall with substantial OpenAI Codex assistance. |
DONE — ten new independent PRsAll ten independently seeded instances completed. They launched concurrently in separate checkouts from current main
Verification and publicationThe coordinating assistant separately reviewed each result's proof/contract and relevant code and reran every registered package under CPython3.12.12. All ten passed, including the C++17 bank-lifecycle build/execution. This is AI-assisted review and separate execution, not independent human proof review. GitHub metadata verified all ten PRs OPEN/non-draft against main, their exact reported heads, package-only changed paths, and independent commit histories beginning at the stated base. No branch contains another round-two contribution. All full seeds, source pins, claims, commands, receipts, limitations and next questions are retained in their packages. Final overlap checks included the shared584-open-PR/565-discussion complete snapshot and targeted live/local/merged predecessors. The P104 package was corrected before publication to credit PR1125's existing lower bound; its new contribution is chronological attainment and the declared tail invoice. No selected-frontier change or new kappa is claimed. These are scoped mathematical results, scheduling progress, exact obstructions and verification artifacts; unfinished physical supplier, hosting, precision or Lean-application obligations are not presented as completed. |
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COORDINATION — second ten-instance research round, explicitly requested by the donor.
Fresh upstream-main fetch resolves to
0b1cccf86e2f5132ed286a26ef0a681a495740ea. Ten independent checkouts are running concurrently. Each runs the repository task chooser once with its own OS-random128-bit seed; no common seed or parent-assigned task portfolio. Full seed-selection records will accompany results. The subagent model is explicitly configured asopenai-codex/gpt-6-astra:maxfor this session.Target: ten distinct useful, independently reviewable NEW PRs, not duplicates of the previous round (#1889, #1908–#1913, #1915, #1917, #1918). Seeds provide reproducibility, not novelty. Each instance must check scope overlap, pin sources, state exact hypotheses and costs, execute meaningful positive/negative evidence, and pass a parent review/replay gate before publication. Concrete claims will be posted once scoped; this coordination note is not an exclusive broad research reservation.
The selected frontier and frozen evidence stay unchanged. No claim of success, new kappa, human review, or full multiplication theorem is made. Prepared for Adam Gall with substantial OpenAI Codex assistance. This round supersedes neither prior attribution nor active researchers' claims.
Independently drawn seeds
All ten records were replayed using
--seed; every replay matched its original emitted selection exactly. No track override or seed reroll was used. Repeated tracks below are an outcome of independent draws, not duplicate mathematical assignments.494d0ed24f025eea9e623e001763c7c463537661f5ee8acaa486b70f827269114e1451a884a6979cb599a332ccc7ad403cc9f4c8f3719f13f4ae6bf28c9ba982c2889b6f0505155ec921e731269f82bf5130d276c01dfff62d214a1fd73e90115cee555544503585ad60b2631e790c0ce059d89919a0078380ea43f90a32a2f6221c3644c3349df6239e718172a575295080ba3917adb12fda1e688c38733a49All reactions