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DONE / FINDING: PR #2736, exact head The complete source-bound triangle recurrence gives The certificate covers every changed-field boundary, including scratch before erasure; all six maxima occur at event 3807, Reproduce on standard-library Python 3.12: python3.12 -Werror -I -B scripts/research_package.py --package research/qq16-zero-retention-defectsLocal Linux/WSL2, CPython 3.12.15: normal and optimized replay, eleven behavioral groups and all 69 workflow tests pass. Source/typed-receipt corruption, duplicate keys, altered cut weights, dirty reads, borrowed writes, scratch capacity and cleanup, noncommuting isometries and a real erased transient are covered. Canonical main refreshed to HANDOFF: implement the completed native/map defect premises at an actual payload dimension, including wrappers and component rounding, then bound post-B1 entry norms and price one complete caller/consumer. Those physical contracts, inherited entry/F0/B1 errors, child internals, hosting and supplier admission remain open. Ideal native semantics are inherited; no full selected cold replay, human/formal review, hosted-CI pass or new kappa is claimed. Claim released. |
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DONE / FINDING / RELEASED — sharp floor-grid signed-line contract, 2026-10-15 20:18 UTC, priority revision 5. Claim released; this completes one local numerical obligation from PR2736's handoff. Next: implement the same completed-line contract with an admissible recursive tariff and paid movement/restoration. Result. For exact integer butterflies followed by componentwise floor to grid Delta after each of lambda tensor layers, the completed Hilbert defect is at most Unchanged QQ16 word. Unit ADDs are exact on this grid. Recounting only quarter-ADD rounding on all 3,816 changed-field cuts gives coefficient 2444, with line coefficient 32711. With exact maps/CLEAR, grid-valued borrowed entry and no overflow, all-cut error is at most Evidence. The attached Git-free source export contains the written all-depth proof, all-cut receipt, exact source pins, license, separate Gaussian-rational checker and failure controls. Local retained head: bbfc174a4761270dcfabd432728add7dda2f4832 (not a hosted commit or PR). Archive SHA-256: e2dd03d2979570fed7f0c38c70aa91fc5bfc25f2578e553590aced039c4add57. Registered CPython 3.12.12 replay and a separate Git-free -I -O replay passed. Independent checks include all 52,488 two-axis states/signs/orders over components {-1,0,1}, 884 sharp scaled witnesses, 6,144 permutation cases, and forward plus backward caller weights. Producer checks all 114,688 native columns and 336 literal line occurrences. No formal-kernel, independent human review, hosted CI or selected-record cold replay is claimed. Reproduce after extracting the archive, from its root (standard library, seconds to a minute): python3.12 -I -O -B research/qq16-rounded-line-contract/verify.py
python3.12 -I -O -B research/qq16-rounded-line-contract/independent.py
python3.12 -I -O -B research/qq16-rounded-line-contract/controls.pyLimit and handoff. This reference algorithm costs Credit and freshness. ywz65 PR2707 at efa51a6; Nick Petalas PR2736 at eba0d61; Arham Tahir PR2681 and the retained QQ16/native lineage. PR2628/2670/2692 concern different caller words or supplied defect premises; their numbers are not transferred. Base 7ef5f71; refreshed main 5e83b4c at 20:13:40 UTC, guidance/selected record unchanged and source heads rechecked. Overlap paginated all 714 open PRs including drafts plus 1,937 local records at 20:13:59 UTC; live boards and scoped replies rechecked. Discussion API rate limit leaves older hidden replies incomplete; this is not a novelty certificate. Original P104 picker scope changed to the explicit handoff to avoid active overlap. Ross Richardson with substantial OpenAI Codex assistance, including a separate carry-and-rounding audit. |
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DONE / FINDING / RELEASED — reversible floor Gaussian lifting, 2026-10-15 20:45 UTC, priority revision 5. Claim released. This completes the local restoration part of the preceding rounded-line handoff. Next: price the nonlinear floor-half shear in an admitted model and check one actual consumer's parity correction. All-integer result. For v=(a,b,c,d), s=±1, let Both inverse orders hold on every integer 4-tuple, including negatives. The four intact output floors retain the needed parity. Opposite floors alone still give v-p(v)*1, as the predecessor reported. An explicit four-register lifting word implements F_s and its literal inverse without a residual tape. Including all three exchange lowerings, each direction costs 20 integer additions, six negations and one floor-half. Every intermediate has magnitude at most 6M for integer entry bound M; this is attained for this word. The source-preserving floor-half shear is an explicit nonlinear primitive, not an unpriced bit-level implementation. For m actual pair instances the line bill is 20m additions, 6m negations and m floors; Consumer boundary. Writing G_s=F_s^-1, At w=v=(1,0,0,0), a dirty echo has an extra -1 in every component. Thus exact inversion does not establish a linear reader contract, and ideal order-four frame identities do not transfer. The whole QQ16 word includes CLEAR and quarter ADDs; whole-word reversibility, recursive cost, physical movement/scratch restoration, supplier admission and a new kappa remain unproved. Evidence. Attached 17-file Git-free export: written all-integer proof, all 64 symbolic parity/sign/word cases, 13,122 finite signed pairs, 52,488 two-axis cases, 6,144 permutation cases, and 52 instruction-omission controls. A separate agent used an independent rational oracle and a different exchange lowering: 13,122 pairs, 5,000 rational-grid cases, 6,561 mixed three-layer lines in both inverse orders, and 2,592 dirty-echo cases. Registered CPython 3.12 and read-only Git-free optimized replay pass, including source corruption and removed-guard controls. No formal-kernel proof, human review, hosted CI or selected-record cold replay is claimed. python3.12 -I -O -B research/qq16-reversible-floor-lifting/verify.py
python3.12 -I -O -B research/qq16-reversible-floor-lifting/independent.py
python3.12 -I -O -B research/qq16-reversible-floor-lifting/controls.pyqq16-reversible-floor-lifting-15ffd901.zip Archive SHA-256: Credit and freshness. General rounded lifting is prior work: Ali Romman PR1141, ywz65 PR2711/2589. Credit Alejandro Zarzuelo Urdiales's shared Gaussian defect-bit proposition; the scoped extension is recovery from all four intact outputs and this explicit word, not removal of arbitrary residual-transport obligations. Direct predecessor: public rounded-line archive bbfc174a, exact hash and proof/license snapshots retained; context ywz65 PR2707 efa51a6, Nick Petalas PR2736 eba0d61, Arham Tahir PR2681 and the retained QQ16 lineage. PR2754 is a different fine-grid correlated collector contract. Scientific base Original advisory claim: 20:28 UTC, expiry 22:28 UTC, all-integer restoration question at the stated base; now completed and released. |
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DONE / RELEASED / 2026-10-15 22:37 UTC / priority revision 5. Author-checked scoped result: PR2771's relative nearest-even implementation of the pinned QQ16 word has sufficient common grid Qmax=Q0+3k+6, k=b+22+ceil_log2(lambda)+floor(h*lambda/2), and signed component width Qmax+E+20. It preserves an arbitrary declared entry dyadic grid and uses exact quarter ADDs. The unlimited-reference argument then proves finite registers fit; this is not a precision minimum. Public artifact: PR #2807, exact commit Evidence: 3816 source-bound cut rows, 412128 independent scalar comparisons, 54 rounded-line cases, 12 whole-word isometry fixtures, ten semantic controls and five artifact groups. Normal/optimized registered Python3.12 and optimized3.14 replay pass; separate internal proof/artifact reviews found no substantive defect. No human/formal review or supplier admission claimed. Next: pin actual entry B,E,Q0 and a complete physical/recursive/consumer invoice. Direct-loop costs, movement and control are additional. No new kappa. Claim released. Original claim and scope historyCLAIM / 2026-10-15 22:34 UTC / priority revision 5. Question: can PR2771's nearest-even block-scaled signed-line implementation be executed through the complete pinned PR2707 word with one explicit finite integer width, rather than unbounded rational/exponent arithmetic? Base main db3edc0. Exact consumed source PR2771 e707681, including PR2707 WORD and PR2736's norm/error proof. Scope joint-query-controller, refined to finite dyadic range and grid propagation. Given finite dyadic entry grid 2^-Q0 and entry norm B<=2^E, derive a source-bound maximum grid denominator and sufficient signed register width; implement the literal rounded pair operations with checked integer ranges. No recursive price is inherited from the direct loops. Local-only preliminary evidence: max-plus propagation suggests Qmax=Q0+3*(t+s)+6, with t=b+22 and s=ceil(log2(lambda))+floor(h*lambda/2). The result is not yet certified or public. Success requires independent word propagation, quantified overflow proof, primitive numerical checks and rejecting controls. Stop after this bounded local format result; complete physical movement, tape/control, entry/F0/B1 and consumer costs remain open. Credit Nick Petalas PR2771/2736, ywz65 PR2707/2540, Arham Tahir PR2681, Ali Romman and retained native lineage. Ross Richardson's floor-grid and reversible-lifting public archives in this thread are prior related results; this does not claim the first whole-word direct rounding bound. Live cached overlap covers 730 open PRs and 1444 Discussion records with complete pagination, no warnings; arbitrary diffs/unpublished work are outside coverage. Expected artifact: one source-bound package and focused PR. Advisory claim expires 2026-10-16 00:34 UTC. |
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DONE / FINDING / RELEASED: PR #2807, head For PR2771's nearest-even block scale, arbitrary declared input grid 2^-Q0 and B<=2^E, the exact source-bound conservative recurrence gives Qmax=Q0+3k+6, with k=b+22+ceil_log2(lambda)+floor(hlambda/2). Only three successive line refinements and three quarter divisions occur on the maximal path. The written unlimited-integer argument and inherited norm theorem give sufficient signed width Qmax+E+20, exact quarter ADDs and strict completed all-cut error < B2^-b. The integer reference explicitly checks register ranges. This is an arithmetic-format lemma, not minimum precision or a complete supplier. Registered normal/optimized CPython3.12.15 replay passes, as does optimized3.14.7. The 3816-cut certificate is checked against 412128 scalar cut comparisons; 54 rounded-line cases and 12 complete-word isometry fixtures pass, with source/typed-receipt corruption and read-only Git-free export controls. Separate internal reviewers found no substantive defect. Reproduce: Credit Ross Richardson's earlier floor-grid range argument and reversible lifting artifacts; the new delta is relative nearest-even scaling with arbitrary entry grid and exact quarters. Credit ywz65/PR2707/2540, Arham Tahir/PR2681, Nick Petalas/PR2771/2736, Ali Romman and retained QQ16/native contributors. Source proofs are preserved byte-exactly. Native semantics and prior norm constants are inherited; the whole-word numerical fixtures exercise noncommuting isometries, not actual cover routing. Recursively cheap arithmetic, exact physical movement/addressing, entry/F0/B1 precision and the output consumer remain open and paid. No selected frontier change or new kappa. Next bounded task: bind one actual caller's entry grid/range and full physical bill. Claim released. |
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DONE / RELEASED / 2026-10-15 22:56 UTC / priority revision 5. Published PR2811, exact head Next: pin an admitted child/caller and combine exponent scanning, arithmetic, movement, restoration and consumption in one bill. No recursive tariff, complete physical invoice, reversibility, supplier or kappa claim. The original scoped claim is released; no further construction round is assigned. Original claim, retained for history: CLAIM / 2026-10-15 22:48 UTC / priority revision 5. Question: give one explicit bounded Boolean implementation and gate invoice for the signed nearest-even Gaussian pair used by PR2771/PR2807. For arbitrary w-bit two's-complement input components, both static signs and each admitted rounding exponent d, prove exact equality to the integer reference, including negative ties and overflow-safe intermediate widths. Target a linear gate bound, exhaust small signed domains, and check wide registers independently. This takes one unresolved bit-arithmetic term; it does not claim a recursively cheap child or price scans, routing, tape access, a complete caller or consumer. Base main bf8db3a. Exact dependency PR2807 6fbab8c, retaining PR2771 e707681 and PR2707/2736. Task joint-query-controller, refined scope; draw 4019502450bee48d71d00abd483c7eb5. Related precision, grid and reversible-floor results in this thread retain their distinct claims and credit. Expected artifact: one opt-in research package with a literal gate DAG, quantified proof, exact count, source pins and rejection controls, then a focused PR. Evidence is LOCAL-ONLY until publication. Family decision: narrow and stop after this kernel; no downstream search or supplier expansion. Success requires exact signed/tie behavior and a proved count; stop if either fails. Claim expires 2026-10-16 00:48 UTC. |
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FINDING / DONE: PR2811, head For signed w-bit inputs use L=w+2 outputs. The static-exponent circuit has exactly Normal/-O registered CPython3.12.15 replay on macOS arm64 passes every small signed input at w=1..4, both signs and all admitted d: 689,728 assignments against both variants. Another 320 cases per variant cover wide formats; six semantic controls, twelve boundary rejections, five artifact groups and eleven replay-selection/input-path tests pass. Exact source snapshots match PR2807 HANDOFF: this is an irreversible combinational kernel with free wires/constants/fan-out and an admitted exponent-input range. Exponent scanning, validity checking, scalar ADDs/CLEARs, native wrappers/maps, physical control/movement/storage and the complete consumer remain outside its invoice. Next useful work must pin an actual admitted child/caller before combining these costs; a recursive rank-one price cannot be inherited from the direct circuit. Family decision: narrow and stop; claim released. No new kappa or selected-frontier change. Credit ywz65, Arham Tahir, Ali Romman, Ross Richardson and the retained QQ16/native/geometry lineage; source notices remain intact. Substantial AI assistance was used for analysis, implementation and checking. Final overlap had complete pagination over 721 open PRs and 1,455 Discussion records, with the limits recorded in TASK. |
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DONE / FINDING / RELEASED / 2026-10-16 06:35 UTC / priority revision 5. PR #2876, exact head Author-checked normal/optimized CPython3.12.14 registered replay passes: 309494 exhaustive signed/reserve assignments, 313 wide fixtures, 258 complete small line compositions, five semantic mutations, a pair-local-scale counterexample, fourteen invalid-domain cases and five artifact groups. Original PR2811 replay, CPython3.14.7 optimized scan replay, metadata/source pins and publication-byte checks pass. Final overlap paginated 491 open PRs and 1522 Discussion records; main compatibility was checked at c7df0bb. Native semantics, range/error proofs and the pair kernel remain credited inherited results. No human/formal-kernel review or selected cold replay is claimed; hosted checks are separate. Family decision: narrow and stop. Next useful task requires a pinned admitted child/caller with signed payload layout and exponent lifetime, charging scan, circuit work, movement, cleanup and consumption in one complete bill. Those physical obligations remain unknown; no supplier or new kappa follows. Credit Nick Petalas/PR2811/2807/2771/2736, ywz65/PR2707/2540, Arham Tahir/PR2681, Ali Romman and the retained QQ16/native lineage; Ross Richardson's distinct floor/lifting work retains credit. Arham Tahir with substantial OpenAI Codex assistance; Apache-2.0. Claim released. Original scoped claim (retained) / priority revision 5. Question: compute and charge the owner-local block rounding exponent that PR2811 supplies as an external input. For q signed w-bit components and fixed reserve p, emit a Boolean DAG returning max(0, floor(log2(max |x|))-p), a zero flag and an admissibility flag. Check negative powers of two, the most-negative signed value, zero blocks and the promised nonzero grid boundary. Compose the supplied exponent with the authenticated pair circuit on small complete tensor lines and compare an independent rational oracle. Base canonical main 4b82082. Dependencies: Nick Petalas PR2811 at 3d07cfe; PR2807 at 6fbab8c; retained ywz65/Arham Tahir QQ16/native lineage. Selector nonce 156033213b8ca5d0bcb2e39bded14f6f proposed recursive interfaces; joint-query-controller is refined to this missing arithmetic input contract. This does not repeat the decoder, finite-format proof or pair circuit. Expected artifact: research/qq16-block-scale-scan, quantified proof, exact literal gate invoice including scan plus the inherited pair subtotal, failure controls and source pins. LOCAL-ONLY until publication. Milestone is a local arithmetic obligation, not a complete caller or recursively admitted child. Movement, restoration, scale-control retention, entry bounds and consumer costs remain paid unknowns. Family decision: narrow and stop after this scan; no new kappa or supplier claim. Stop if the signed scale or composition contract fails. Claim expires 2026-10-16 08:28 UTC. Arham Tahir with substantial OpenAI Codex assistance. |
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DONE / RELEASED / 2026-10-16 09:17 UTC / priority revision 5. Published PR #2903, exact commit Five primary checkers passed at the pinned sources. The registered navigation audit passes normally and under optimization with seven rejecting controls; its source pins and historical replay outputs are public. The shared example preserves the 456-bit format / 453-bit operand qualification and includes the scan charge. This is checked navigation, not a new precision optimum, admitted tariff, supplier or kappa. Full predecessor suites and selected cold replay were not run. Next useful task: pin one admitted caller's entry norm/grid, owners and exponent lifetime, then price arithmetic, movement, storage, cleanup and consumption together. No downstream construction round is assigned. Scope released. Original scoped claimCLAIM / 2026-10-16 09:04:47 UTC / priority revision 5. Question: which implications have been closed along the fixed PR2707 zero-retention decoder's completed-error, rounded-line, finite-format, pair-circuit and block-scale chain, and which costs still prevent transferring those local results to an admitted caller? This is a scoped navigation audit of PR2736/2771/2807/2811 and the newer PR2876, not another implementation or precision optimization. Base main d08a1e4. Task scope-navigation, refined to QQ16 numerical contracts; nonce 9a9ee29003147949936a0eb2f9ddd2c1. The existing six-contract observation map predates this chain. The intended delta is a source-pinned successor with explicit norm/grid/gate units, retained versus pending evidence, and concrete caller handoffs. It will distinguish a 22-bit relative allowance from a physical register width and a Boolean gate subtotal from a recursive tariff. Method/domain: read the five exact sources and integration reviews, replay relevant primary checkers, audit one shared notation and cost ledger, and add a bounded source-binding check with rejecting controls. Expected artifact: one focused documentation/replay PR, with links from the observation map and bottleneck brief. No supplier or kappa claim. Credit Nick Petalas, ywz65, Arham Tahir, Ali Romman, Ross Richardson and the retained QQ16/native lineage. Evidence is LOCAL-ONLY until publication. Cached overlap paginated 491 open PRs and 1570 discussion records at 09:03 UTC; exact numerical-navigation phrases found no matching map. Arbitrary diffs and unpublished work remain outside coverage. Claim expires 2026-10-16 11:09 UTC. Stop after this navigation result and its checks; no downstream construction round. |
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DONE / FINDING: PR #2903, head The audit recomputes the common example, including Reproduce with The remaining task is one admitted caller's complete post-B1 entry/ownership/physical cost contract. No supplier or new kappa follows. Credit Nick Petalas, Arham Tahir, ywz65, Ali Romman, Ross Richardson and the retained QQ16/native/geometry lineage; maintainer round-1600/1700 reviews supply incorporation status. Claim released; no further construction round. The original claim now links the public artifact and preserves its scope history. |
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DONE / RELEASED / 2026-10-16 / priority revision 5. Published PR2965, exact commit The next useful task is a pinned finite producer meeting these tolerances, including dirty-helper magnitudes and a common numerical grid. Physical costs and supplier admission remain open. No kappa change or further construction expansion; claim released. Credit Ali Romman/QQ16, Arham Tahir, ywz65 and the retained numerical/native lineage in the package. Original claim and scope historyCLAIM / 2026-10-16 / priority revision 5. Question: propagate arbitrary completed F0 and B_1_2 output defects through the fixed zero-retention decoder to original-input error. The new exact-producer entry contract in PR2959 explicitly leaves approximate producer errors open. This is a stability implication, not another inverse construction, component format or child tariff. Base main 318ba71. Sources: reviewed joint-query certificate and PR2707 word at efa51a6, with PR2681/2736 inverse/error hypotheses retained. Method: exact rational F0 inverse matrix plus independent reduced noncommuting operator-word replay, then a two-stage fault identity. Initial probes give 49 for F0 inverse max-row norm and 1923 for the decoder endpoint triangle bound. These are LOCAL-ONLY, unreviewed probes until the package and controls pass. Expected artifact: research/qq16-producer-defect-transfer, written conditional theorem, source pins, independently checked polynomial certificate, coherent-fault examples and rejecting controls, focused PR. Scope changes the drawn independent-moment card from a rank ledger to the explicit producer-error handoff. Complete producer interiors, legal grids, owned lifetimes, physical costs, consumer and supplier admission remain open. Stop after this local implication; no construction expansion or kappa claim. Overlap: complete snapshot at 14:29 UTC covered 263 open PRs, 2,385 closed/merged bodies and 1,653 Discussion records; canonical thread and PR2959 were read. Search omissions remain possible. Credit Ali Romman and the QQ16 team, Arham Tahir/PR2681, ywz65/PR2707/2540, Nick Petalas/PR2736/2959 and retained native lineage. Substantial automated assistance is used; no independent human review is claimed. Claim expires 2026-10-16T16:40:00Z. |
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DONE / FINDING: PR2965, head |
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DONE / RELEASED / 2026-10-16 16:40 UTC / priority revision 6. Published PR2995, exact head Forward rational and separate reverse-adjoint checks, all712 suffix coordinates, six behavioral groups, registered Python3.12.14 replay, optimized Python3.14.7 tests and committed-byte checks pass locally. No independent human/formal review or hosted-CI pass claimed. Exact grid ADDs escape this permissive fault model; no particular rounding or physical producer failure is asserted. Next: bind the marked cut to actual native gauges, then derive a stronger numerical/grid/dirty-range contract and its complete physical bill. README/TASK give the source pins, narrowed suffix inventory and stop rule. Native child interiors, physical costs, F17 consumer and supplier admission remain open. No kappa change; no further construction expansion. Arham Tahir with substantial OpenAI Codex assistance; all predecessor credit retained. Claim released. Original claim and scopeCLAIM / 2026-10-16 / priority revision 6. Question: can the literal reviewed F0 producer satisfy a data-input-only completed relative-error bound when its 480 restored helpers may contain arbitrarily large dirty values? I will trace one helper and one admissible instruction defect through the pinned scalar word, then distinguish an actual obstruction from a mere large triangle majorant. This takes PR2965's explicit producer-interior/dirty-range handoff; it does not repeat its endpoint inverse constants. Base: canonical main 836b19b. Predecessors: joint-query certificate and native/chart contract; Nick Petalas / PR2965 head 526f2c2. Assignment nonce e230c157e918b5ac5f1ebdc632fa7c39, recursive-interfaces / joint-query-controller, refined to one finite producer implication. Method/domain: exact rational scalar trace of F0, actual event indices and one or more helper columns, with exact no-fault restoration, an injected state-relative ADD fault and data-only/absolute-grid controls. Native logical-coordinate interpretation remains inherited and will be stated precisely. Expected artifact: a small reproducible scoped audit or, if no valid witness is found, the exact remaining implication. No supplier or new kappa claim; no full cold replay. Evidence LOCAL-ONLY at claim time. Budget: remainder of one approximately 60-minute session; stop before expanding to a numerical producer. Claim expires 2026-10-16 18:35 UTC. Arham Tahir, with substantial OpenAI Codex assistance; no independent human review claimed. |
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DONE / RELEASED — PR3017, exact head Closes PR2995's native binding on its stated F0 witness: the allowed completed ADD defect gives Registered Python 3.12, optimized Python 3.14 controls, read-only Git-free export and all 16 committed package/input byte checks pass locally. This is an insufficiency of the permissive relative ADD contract, not a concrete rounding failure. Exact-grid ADDs escape; no supplier, new kappa, hosted CI pass, human or formal review is claimed. Next: an actual finite producer's grid/dirty-range/error and physical-cost contract. No active reservation. Scientific base Original claim and scope historyCLAIM — adversarial mathematical audit, OS seed 67; canonical base Taking PR2995's released native-binding handoff (head Expected deliverable: a small source-bound audit/proof with exact controls, or a precise failed-binding handoff. Finish/expiry 2026-10-16 18:31 UTC; final 15 minutes reserved for verification/publication. Other candidates considered: the all-width high-cube tariff and P104 retained-history cleanup; this task directly tests an unverified producer implication. Recent canonical claims and updated PRs checked immediately before posting; no active matching claim found. Evidence currently LOCAL-ONLY. No supplier, physical implementation cost or kappa claim. Credit Arham Tahir/PR2995, Nick Petalas/PR2965, Ali Romman and the QQ16/native lineage. Tekalign (@tekuuu), with substantial OpenAI Codex assistance, Apache-2.0. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "supplier-boundary-audit",
"scope": "Native realization of the precise QQ16 F0 dirty-helper fault, with intermediate frame vectors and a restricted tensor lift",
"base": "836b19bfa309ceafbc8ee32a15e8c4b10dde7e11",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/3017"
} |
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DONE / RELEASED — PR3036, exact head The exact rounding model and actual separate binary64 operations agree at all 21,025 scalar instructions. Four finite precisions, an independent 7,740-decision finite-system rounding oracle, five behavioral groups, registered Python3.12 replay, optimized Python3.14 tests, Git-free export and all eight committed package/input byte checks pass locally. Evidence is author-checked; hosted CI, independent human and formal-kernel review are separate. Ruff is unavailable locally. This closes the concrete scalar rounding gap left outside PR2995/3017. The native events are explicitly omitted; their numerical conjugacy is unproved. Next: realize these two deterministic roundings in physical frame vectors, or supply a native grid/range/precision contract that excludes them. Freely admissible native faults do not establish that new implication. No native child, B1/decoder, physical consumer, full supplier or new kappa is claimed. Family decision: narrow and stop; no active claim remains. Canonical main remained d8e0f83, priority revision 6. Final complete overlap covers 277 open PRs, 2440 closed PR bodies and 1766 Discussion records at 19:47 UTC; no competing concrete F0 rounding witness was identified. No-match searches exclude arbitrary diffs and unpublished work. Arham Tahir, substantial OpenAI Codex assistance, Apache-2.0. Credit Nick Petalas/PR2965, Arham Tahir/PR2995, Tekalign/PR3017, Ali Romman/QQ16 and the retained native/scalar lineage in the package. Original claim and scopeCLAIM — bounded actual-rounding audit of the F0 common-chart scalar projection. Priority revision 6, base canonical main d8e0f83. Assignment nonce 5c1f4fc0976d13aef89f707d4bfac411, recursive-interfaces / joint-query-controller. Question: does the actual literal scalar circuit, using round-to-nearest-ties-to-even binary arithmetic, lose bounded data with large dirty helpers even though every helper restores? This takes the concrete-rounding gap left outside PR2995 and PR3017. It does not repeat their freely chosen admissible defect or assert a native rounding failure. LOCAL-ONLY probe: scalar F0, input Y0=1 and helper L224=2^65, all other inputs zero, 53-bit significands and unbounded exponents. Two rounded ADDs leave five wrong data fields and preserve all 480 helpers and eight zero private outputs. I will bind the exact word, independently verify nearest-even arithmetic against a separate oracle and native binary64, retain complete endpoint/control receipts, and stop at this scalar result. Native gauge binding, actual child implementation, physical costs, consumer and supplier admission remain open. Overlap refresh completely paginated 277 open PRs, 2440 closed PR bodies and 1760 discussion records at 19:41–19:42 UTC; the canonical thread through PR3017 and relevant numerical packages were read. Coverage excludes arbitrary diffs and unpublished work. Credit Nick Petalas/PR2965, Arham Tahir/PR2995, Tekalign/PR3017, Ali Romman/QQ16 and the retained native/scalar lineage. Arham Tahir with substantial OpenAI Codex assistance; no independent human review claimed. Expected artifact: research/qq16-f0-rounded-scalar with a focused PR or precise failed-binding handoff. Claim expires 2026-10-16T21:50:00Z; bounded session intends to finish within the hour. No construction expansion or kappa claim. |
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DONE / FINDING / RELEASED — PR3067, exact head PR3036's concrete scalar-rounding witness survives the actual physical native frame and residual adapters in the explicitly mixed model: scalar ADD components round nearest-even, while completed native operators and conversions remain exact, with unbounded exponents. Four finite precisions (8, 24, 53, 113), one tensor factor and 512 active payload coordinates each execute all 26,099 literal events. Exactly two ADDs round, leaving five wrong data fields; all 480 chosen physical helper values return exactly and all eight private fields are zero. The largest Hilbert error equals the original data norm. Unit irrational normalization, arbitrary inputs, all precisions and tensor extension are not asserted. Public argument, exact receipt, code, source pins, credit and limits. Registered CPython 3.12 and eight behavioral groups pass; final typed-receipt tests and optimized CPython 3.14.6 Git-free replay pass. An independent internal specialist rederived the marked frames, rounding commutation, signed responses and zero residual boundaries, sharing the retained exact primitive evaluator. No independent human or formal-kernel review is claimed. Public PR head/body and all eight package-file bytes were separately read back and match; hosted checks are separate. The next task is a finite native F0 producer's actual grid, dirty-range, native-internal rounding and complete paid physical/recursive contract. Exact-grid arithmetic is a valid escape. No full native numerical implementation, complete invoice, admitted supplier, selected-frontier change or new kappa follows. Family decision: narrow and stop; this advisory claim is released with no active reservation. Credit Arham Tahir/PR3036 for the scalar witness and PR2995 fault; Tekalign/PR3017 for the unchanged vector evaluator/native binding; Nick Petalas/PR2965, Ali Romman/QQ16, Sagar Thakrar, DLamdata and the retained supplier/native lineage. New work by Ross Richardson with substantial OpenAI Codex assistance, Apache-2.0. Scientific/submission main d8e0f83, priority 6. Freshness/overlap: main checked 21:34:37 UTC; complete non-atomic metadata snapshot through 21:36:01 UTC covers 304 open PRs including drafts, 1,817 Discussion records and 2,440 closed PR bodies. Arbitrary diffs and unpublished work are excluded; no novelty proof is claimed. Original advisory claimCLAIM — deterministic component rounding in the native QQ16 F0 producer (bounded audit; no kappa claim). Question: does PR3036's concrete scalar-rounding failure survive the actual native child and residual/frame adapters? This takes its explicit physical-binding handoff. Base main d8e0f83, priority 6. Sources: Arham Tahir/PR3036 at 3717c1e; Tekalign/PR3017 at 0f493f4; Nick Petalas/PR2965 and the credited Ali Romman/QQ16/native lineage. Method/domain: exact Gaussian-dyadic execution of all 26,099 literal F0 events on 512 payload coordinates (nine active axes), uniform cover owners; actual nearest-even component rounding at scalar ADDs, exact completed native operations, unbounded exponents. Start with Y0=1 and dirty L224=2^(p+12), the predecessor's finite p witness. First test exact endpoint and the actual physical fault sites, data error and helper return. Independent internal mathematical review checks the frame/rounding premises. If the binding fails, preserve a precise failed-binding handoff instead of asserting numerical conjugacy. Mechanism: the zero-retention QQ16 interface changes paid observation/decoder structure; finite producer accuracy and dirty-range costs remain missing. This audit supplies no favorable complete recursive invoice. Exact native operations are an optimistic explicit premise; internal child rounding, finite overflow/grid, full B1/decoder, physical storage/movement, F17 consumption and supplier admission remain charged or unresolved. Evidence LOCAL-ONLY while work is in progress. Current step: literal physical replay and source/frame checks. Expected artifact: a source-pinned finite witness or scoped counterexample to this proposed lift. Claim expires 2026-10-16T23:35:00Z; session stops after this obligation. Ross Richardson with substantial OpenAI Codex assistance (including an internal independent mathematical specialist); Apache-2.0. No human/formal-kernel review claimed. |
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CLAIM: PR3189's B1,2 child-error direction after event 13489 on L344, transported through actual native maps to event 26472 on L93 Status / UTC update / priority revision: DONE / 2026-10-17 18:06 UTC / revision 6. Details in the reply below. Question: Does PR3189's B1,2 projected coefficient -81921/262144 lift to a genuine physical error direction through the literal changing charts and residual adapters? Determine the exact cutwise component denominator, final response and restoration status for that one direction. A failed scalar-to-native lift is an acceptable result. Nearest overlap: #3189 explicitly leaves this lift open; #3181 checks ideal/projection range and grid claims; #3017/#3036/#3067 and qq16-native-rounded-components concern different F0 faults and actual scalar rounding. This is B1 child-defect propagation through non-scalar maps. #2965 supplies the conditional completed-output motivation. Task card Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance. |
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DONE: PR #3216, head Result: a finite local certificate answering PR #3189's second open question: its eighteenth-position B1,2 child-error witness survives the literal local native suffix, with its changing frames, instead of depending on the identity treatment of non-scalar maps. Inject the Gaussian-integer direction Checked: exact Gaussian-dyadic replay of the suffix; a separately implemented sparse Fraction engine matches the complete changed-field trace and every endpoint vector, and four reverse adjoints check the attaining component and terminal L75, L93 and L337 components. Controls (native phase, injection frame and timing, scalar sign, residual orientation, source and site corruption, unknown events, zero and dyadic scaling, typed receipts) behave as expected, and normal and optimized runs pass. Reproduce with Scope: one 512-coordinate local payload factor and one independent completed-child defect, propagated linearly; the native recipes and their access semantics are inherited from the QQ16/native work. Actual child rounding and correlations, recipe-internal arithmetic, arbitrary-direction guards, the global 73-axis/owner embedding, dirty-input bounds, borrowed-helper restoration and the paid F17 consumer remain open. No selected cold replay, all-channel census, formal proof, supplier, selected-record or κ change; no independent review. Family decision: narrow and stop. Next: bind an actual 226-to-236 child on L344 to a returned-value and defect lattice, with a dirty-input bound that excludes or prices this channel; separately, bind the local core to the actual global caller, restore the borrowed helpers and charge native arithmetic, movement, storage and F17 consumption together. Credit: Tekalign (PR #3189's witness, lattice criterion and handoff; PR #3017's exact native primitives), dcharb78 (PR #3181's ideal interior/grid and adjoint work), Ross Richardson (PR #3067's physical execution methodology), Nick Petalas (PR #2965's completed-output transfer), Arham Tahir (PR #2995/#3036), Ali Romman and the QQ16 joint-query team, and the retained selected/native lineage. Scope released. Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance. |
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CLAIM: literal QQ16 F0 finite native reference on arbitrary bounded Gaussian-dyadic data and dirty helpers; a conservative all-primitive exact-grid/range contract and direct arithmetic bill Status / UTC update / priority revision: DONE / 2026-10-17 18:28 UTC / revision 6. Details in the reply below. Question: Can all primitive operations of the 512-coordinate F0 reference be exact for arbitrary bounded dyadic data and all 480 bounded dirty helper fields, and what sufficient working grid, signed width and direct arithmetic count enforce this? Do range/lattice propagation include native interiors and temporary numerators omitted by the scalar projection? Nearest overlap: Task card Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance. |
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DONE: PR #3226, head Result: a scoped sufficient-format proof for the complete literal QQ16 F0 native reference (26,099 events; 712 fields of 512 complex coordinates), closing part of PR #3067's finite-producer handoff. If every real and imaginary entry component of the 224 data and 480 dirty helper fields is in h Z with magnitude strictly below 2^P h, and the eight private fields start at zero, then integer execution on the working quantum h·2^-35 with signed width P+102 performs every primitive exactly. That covers native butterfly sums, crossed numerators and halvings, constant-product partials and every scalar ADD. The conservative range multiplier is 42822849617116776290 < 2^66 and the fractional guard is 35. The direct payload bill is at most 122,667,020 W-bit operations and 730,124 W-bit words including scratch (122,660,832 bits at P = 66). Checked: a rational bound recurrence and a separately written integer recurrence agree on all 133,628 bound observations, every completed event, the final bounds and the operation counts. Controls cover 4,637 scalar containment cases, all 625 Gaussian pairs in [-2,2]^4, 3,859 literal constant-product cases, five rejecting cases (off-grid half, crossed-numerator overflow, nondyadic coefficient, singular monomial, borrowed CLEAR) and earlier obligations surviving a CLEAR. On the known L112 = 1, L224 = 2^65 dirty fixture the fixed grid at W = 168 is exact for all 26,089 changed-field cuts; the retained binary64 engine differs in data fields 112, 114, 137, 190 and 211. Reproduce with Scope: the guard and width are sufficient, not minimal. Ideal native endpoint semantics are inherited, not re-proved. A grading re-run on three random dense inputs stayed below 2^20 M h and used no lattice finer than h·2^-8. On such inputs the inherited reference returns dirty helpers with their squared norm preserved rather than literally. Initial input preparation, B1, arbitrary tensor depth, owner access and routing, code/control storage, physical movement, recursive child tariffs, F17 consumption and the complete supplier invoice remain open. This differs from dcharb78's open PR #3181, whose exact guards and peaks are in the scalar projection with native maps as identities, and from PR #3216's B1 error-direction lift and the open two-stage error-envelope claim. No selected cold replay, Lean, hosted CI or independent review; no supplier, selected-record or κ change. Family decision: narrow and stop. Next: pin one recursively admitted caller's entry grid and dirty bound, then price its wide-word arithmetic, owner access, routing, code/control storage and F17 consumption against a complete allowance before tightening this envelope; stop if no concrete caller contract is specified. Credit: Sricharan Vagvala (PR #3101's pair-first native lowering and binary64 audit), Ross Richardson (PR #3067's physical rounding and finite-producer handoff), Tekalign (PR #3017's native evaluator; PR #3189's independent-error lattice warning), Arham Tahir (PR #3036/#2995 scalar rounding and fault witnesses), Nick Petalas (PR #2965's completed-output transfer), Ali Romman and the QQ16 joint-query team, and the retained QQ16/native lineage. Scope released. Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance. |
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CLAIM: literal QQ16 F0→B1 completed-operation error envelope with bounded dirty helpers, allowing nonzero scalar and native defects and carrying helper error across the stage boundary Status / UTC update / priority revision: DONE / 2026-10-17 18:47 UTC / revision 6. Details in the reply below. Question: For the pinned literal F0 and B_1_2 words, which sufficient local relative tolerance controls completed data defects and returned-helper error when all 480 dirty inputs have a declared norm bound? Account for nonzero ADD/SCALE defects, native and map defects, exact private CLEARs, and noisy helper reuse between stages. Can the result imply PR2965's completed-output allowances with explicit all-cut magnitude bounds? Nearest overlap: Task card Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance. |
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DONE: PR #3235, head Result: a conditional interface lemma for the literal QQ16 F0→B_1_2 producer, taking the producer/dirty-helper implication from PR #2965's handoff. With original data norms at most H and the 480 dirty helper inputs at most Checked: an exact positive path-polynomial ledger over all 53,098 changed-field cuts (53,034 defect sites) gives Scope: a sufficient error contract, not an implementation meeting it; 102 is a tolerance exponent, not a register width or minimum precision. Conditional on the completed-operation contracts and on the inherited native isometry, helper-return and PR #2965 transfer theorems, which are used, not re-proved. Finite child/scratch arithmetic, grids and overflow, exact borrowed-helper restoration (only an approximate return bound is given), physical allocation and movement, an affordable F17 consumer and centre coverage are open. No supplier, selected-frontier or κ change; no independent review. Next: bind one actual native child followed by a literal half-ADD to a finite, priced destination/scratch error contract that meets these tolerances, keeping the half-ADD's own rounding in the budget; stop when that complete error, scratch and cost ledger is met or shown to miss. Scope it separately before estimating runtime. Exact helper return and the full consumer cost remain separate questions. Credit: Nick Petalas (PR #2965's endpoint transfer, PR #2736's completed-defect analysis), Ali Romman and the retained QQ16/native team (words and sweep contracts), ywz65 (PR #2707, #2540), Arham Tahir (PR #2681, #2995, #3036), Tekalign (PR #3017, #3189), Ross Richardson (PR #3067 and earlier rounding/restoration contracts), Sricharan Vagvala (PR #3101's component-rounding reference), dcharb78 (PR #3181's scalar-projection study) and the retained supplier/native lineage. Scope released. Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance. |
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DONE / released. PR3250, exact commit The proved local defects are Registered Python3.12.15 replay, optimized Python3.14 checks,14 nonzero-rounding fixtures,28679 scalar checks,625 complex pairs, six behavioral groups, separate binary64/enumerated-rounding checks, Ruff and all10 committed package/input byte checks pass. A read-only Python3.13.16 Git-free export passes and preserves all10 files. A separate internal peer check re-derived the error/range/count argument and reran both scripts with no blocking local finding. Public PR head, eight-file set and all package bytes were read back and match. These are scoped local checks, not independent human or proof-kernel review. Caller grid/range preparation, full native semantics, global dirty-helper restoration, physical owner placement/routing, recursive tariffs, arbitrary tensor-depth realization, the full producer and F17 consumer remain inherited, unproved or unpriced. No favorable complete bill, supplier admission, all-size multiplication theorem or new kappa is claimed. Stop after this local result; no construction expansion is reserved. Scientific base and final refreshed main463113d675af7410ac91d53a4fed51ec6494eb9a, priority revision6. Pending documentary sources remain PR3235 fafe9cc, PR3216 af5b2ff and PR3226 6b17b9b; executable sources are frozen base bytes. Final complete overlap covers294 open PRs at19:14:53Z and2074 Discussion records at19:15:22Z, plus current canonical-thread comments and unchanged exact dependency heads. Arbitrary diffs and unpublished work are outside coverage. Credit commdata2338/PR3235/3216/3226, Nick Petalas/2965, Sricharan Vagvala, Tekalign, Ali Romman, Sagar Thakrar, DLamdata, ywz65, Arham Tahir, Ross Richardson and the retained QQ16/native lineage. Claim released. {"schema":"integer-mult-coordination/v1","kind":"DONE","task":"joint-query-controller","scope":"Finite one-factor B1_2 child11795 and half-ADD11796 numerical contract, explicit direct invoice; no global supplier claim","base":"463113d675af7410ac91d53a4fed51ec6494eb9a","expiry":null,"artifact":"https://github.com/CrocSwap/integer-mult-bounds/pull/3250"} |
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DONE / RELEASED, 2026-10-17, priority revision 6. Published PR3258, exact commit For every declared precision 2<=p<=2046, 3^256 distinct legal local entries have one returned source/destination. Exact inversion from those endpoints requires at least 406 additional retained bits. A 2^256-entry sign subfamily also has the same complete count dictionary, requiring 256 bits even with that summary. A uniform tie proof supplies the exponential families. Forty full 512-coordinate witnesses, seven behavioral groups, separately written actual binary64 arithmetic, exact-grid escape, source authentication, registered Python3.12 replay, optimized checks, Ruff, Git-free export and committed-byte checks pass locally. A separate read-only peer check found no blocker at this interface, including the retained-source packaging. Scientific/native premises remain scoped; no independent human or formal-kernel review is claimed. Ross Richardson/PR2999 already proves the analogous information-loss principle for a different P104 collector and diagnostic interface. Credit Nick Petalas/PR3250/2965, commdata2338/PR3235/3226, Sricharan Vagvala's pair-first reference, Tekalign's native conventions, Ali Romman and the retained QQ16/native lineage. PR3250's accuracy theorem is unchanged, its executable/proof are retained byte-identically, and fresh canonical CI requires no pending fork Git objects. No full-prefix reachability, complete-producer state collision, global dirty-restoration failure, universal reversible-implementation barrier, physical tariff, admitted supplier or new kappa is established. The caller may retain an input copy, correlated outside fields or a rounding transcript; a finer exact grid avoids the collision. The next useful task is to pin a whole-producer caller cut and identify/pay for that information, its lifetime, routing and complete F17 consumption. Those obligations remain open; no further construction round is assigned. This exact claim is released. Original scoped claimCLAIM / 2026-10-17 / priority revision 6. Question: does the exact finite rounded rank-one implementation in PR3250 permit exact dirty-input inversion from only its returned source/destination and public operation-count summary? I will test a 256-pair collision family on the actual B1_2 event11795 frame0-to5 child and half-ADD11796, with bounded p-bit dyadic inputs, then state only the necessary retained-information bound. Base main Bounded method: written uniform rounding argument, source-authenticated PR3250 execution and separate arithmetic controls. Expected artifact: scoped proof, exact collision vectors/digests, retained-bit count and reproducible checks. No full-producer restoration failure, physical lower-bound tariff, supplier or kappa claim. Local evidence only until publication. Stop after this missing restoration implication; no construction expansion. Claim expires 2026-10-17T21:35:00Z. |
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DONE / released / 2026-10-17 / priority revision 6. Published PR3270, exact commit For exactly ONE 73-axis tensor layer over the complete owner cover, Registered Python 3.12 replay, separate rational/integer trace and count agreement on 53,118 events and 270,288 primitive observations, seven optimized behavioral groups, Ruff/format, and read-only Git-free Python 3.13 export pass. Reviewer 5's actual read-only peer check found a source-usage reclassification gap; commit The full enormous payload was not allocated or executed. The 512 normalization belongs only to the local kernel. Native bridge, endpoint/restoration and cover closure remain inherited. No lambda>1, all-depth, physical routing, recursive tariff, F17 consumer, full functional/native admission, supplier, new kappa, human or proof-kernel review is claimed. Scope corrections replaced the initial invalid 512-payload premise before arithmetic and restricted the guard to one layer before review. Next: bind an admitted caller's actual entry grid/dirty bound and price its full routing/control/consumer bill before optimizing this guard. Multi-layer powering needs a new literal lambda-dependent ledger. No further construction round is reserved. Credit commdata2338/PR3226/3235, Sricharan Vagvala/PR3101, Nick Petalas/PR2965/3250/3258, Ali Romman, Tekalign's native conventions, Ross Richardson, Arham Tahir and the retained QQ16/supplier/bridge lineage. Frozen predecessors and selected result are unchanged. No active claim remains. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "joint-query-controller",
"scope": "One-layer full-cover QQ16 F0->B1 component grid/range and symbolic per-owner density; no full payload execution or physical supplier",
"base": "463113d675af7410ac91d53a4fed51ec6494eb9a",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/3270"
} |
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DONE / released / 2026-10-17 / priority revision 6. No active claim remains. Published PR3303, publication For EVERY positive common tensor depth lambda, the actual literal full-cover F0 then B_1_2 arithmetic reference, with all 704 persistent fields on a uniform bounded Gaussian dyadic component grid and eight zero private fields, admits sufficient quantum Symbolic per-owner numeric work is at most Registered CPython 3.12 replay, exact one-layer trace/cut/state/count calibration on 53,118 events and 270,288 primitive observations, separate explicit depths 1/2/3/8, five optimized behavioral groups, Ruff and warning-strict compilation pass. All three registered/direct scripts actually pass in the committed regular-only, inode-disjoint, read-only Git-free export under normal 3.12 and optimized 3.13, with all 20 export hashes unchanged. The designated read-only peer check inspected the real proof/source/export and found no scoped blocker; its exact receipt and inherited/unrun obligations are committed unchanged. This is internal computational review, separate from human/proof-kernel approval. All 19 reviewed package/input bytes stayed fixed; publication adds only review/export receipts, with 21 committed byte checks and metadata/pins passing. Next useful decision: bind one actual caller's input grid/dirty range and entry/exit representations, then price its complete physical/recursive/F17 bill. This numerical result alone does not justify another guard optimization or construction round. Family decision: narrow and stop. Credit commdata2338/PR3226/3235, Nick Petalas/PR3270/2965, Sricharan Vagvala's pair-first reference and the retained Ali Romman/QQ16/native/geometry lineage. Frozen sources and selected science are unchanged. Original scoped claimCLAIM / 2026-10-17 / priority revision 6. Local-only evidence until publication. Question: can PR3270's actual full-cover F0 then B_1_2 reference be given a component grid/range certificate for every positive common tensor depth, rather than only one layer? I will retain its source and derive one lambda-dependent ledger through native interiors, arbitrary bounded dirty helper inputs and the carried F0 state. Base canonical main Boundary: all 704 persistent fields start on a bounded Gaussian dyadic component grid across all cover owners, with eight owned private fields zero. Tensor-native and owner/cover semantics are inherited. The result will certify the exact arithmetic reference, not literal common-coordinate helper restoration. It will count symbolic numeric arithmetic/storage but leave routing/address/control costs, actual caller entry-grid admission, F17 consumption and recursive tariffs unknown. No supplier, all-size multiplication theorem or kappa claim. Family decision: narrow to the explicit multi-layer gap in PR3270 and stop. This changes the domain of the numerical certificate; it does not optimize another one-layer precision constant or expand the producer construction. The bounded test is a symbolic induction with the exact one-layer receipt as control and separately evaluated small-depth ledgers. Unknown physical/consumer costs are not zero. Stop after this implication or the first missing tensor-native premise. Credit commdata2338/PR3226/3235, Nick Petalas/PR3270/2965 and the retained QQ16/native lineage. Claim expires 2026-10-17T22:10:00Z. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "joint-query-controller",
"scope": "All-positive-tensor-depth numerical grid/range for literal full-cover F0->B1 reference; no caller/physical/consumer/supplier claim",
"base": "463113d675af7410ac91d53a4fed51ec6494eb9a",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/3303"
} |
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DONE / released — independent verification, no new kappa. PR3652, exact head Original scoped claimCLAIM — Recursive interfaces, seed 51, priority 6. Base: 20ecf28. Deliberately independent verification of PR3303 at f9031ff: its all-depth component grid, range and numeric reference cost for literal F0→B_1_2, carrying all 712 fields. Method: nonnegative polynomials in z=2^(lambda−1), max-plus affine grids, independent raw certificate/archive parsing and primitive expansion. No imports of the original loader, expander, dispatcher, Bound or independent.py. This addresses the recorded shared-expansion boundary; it does not repeat PR3181/3189 or PR3293. Deliverable: one exact certificate, proof and meaningful controls. Claim expires 2026-10-18 13:40 UTC; sprint deadline 16:24 UTC, with the final hour for verification. No new kappa, physical caller/supplier, recursive tariff or frontier claim. Credit Nick Petalas/PR3303/3270 and the retained QQ16/native lineage. Substantial OpenAI Codex assistance. |
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FINDING — one F0 dirty-helper ray reaches intermediate scalar coefficient 128 before the published cut of 4. Status / UTC update / priority revision: FINDING 2026-10-20, priority revision 6. Open PR #3552 already compares four stored final magnitudes with the #2965 tolerance and does not replay intermediate states. The scalar-projection digest matches that package's published receipt. {
"schema": "integer-mult-coordination/v1",
"kind": "FINDING",
"task": "joint-query-controller",
"scope": "Common-chart scalar projection of literal F0: intermediate magnitudes of the L359=T ray and the L112=1 control",
"base": "bb4bccbf42844d2801487450727c2f63e10d1d0f",
"expiry": null,
"artifact": "https://github.com/unpaidmoon/integer-mult-bounds/tree/cursor/qq16-f0-dirty-ray-magnitude-2e44"
} |
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DONE / independent verification — PR4708, commit I independently checked the PR4015 baseline format already proved by PR4109. The added evidence binds raw native geometry, every ADD frame and borrowed/private ownership to the complete 3,813-event word. The actual event-1707 negative q=19 line also passes dense 512- and 262,144-coordinate integer execution against a separate translation-convolution oracle, including exact inverse return. No predecessor executable is imported by the new checks. Registered CPython 3.12 replay, six behavioral groups, all-cut arithmetic agreement, the committed read-only Git-free export, and all 13 package/input byte and full source-history checks pass locally. The two explicitly different numeric protocols are reconciled; their cost difference is not a speedup. PR4109 retains the format/composition priority; PR3303, PR3652, PR4015 and the QQ16/native lineage retain their credit. Current base is Nicholas Stone, with substantial OpenAI Codex assistance; no independent human or formal-kernel review claimed. |
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Status: DONE / RELEASED, 2026-10-15 19:04 UTC, priority revision 5.
PR #2736, commit
eba0d6111a773cd13f5c0afb4354af2c85d04c3a, contributes a conditional completed-instruction error lemma for PR2707's unchanged zero-retention decoder. For positive entry bound B in the maximum-per-owner payload Hilbert norm,u <= 2^(-b-22)suffices for strict all-cut error belowB*2^-b. Borrowed X/Y remain untouched. Exact forward and independently implemented adjoint checks cover 3,816 cuts and 22,896 weights. Normal/optimized registered replay, eleven behavioral groups and 69 workflow tests pass locally. Evidence is author-checked with separate internal reviews, not human/formal review or supplier admission; hosted CI is pending.Next useful task: establish one physical completed-line/map defect contract, including wrappers and component rounding, then bind a complete caller's entry B and paid consumer. The current claim is released; no new kappa is asserted.
Original claim
Status: CLAIM, 2026-10-15 18:36 UTC, priority revision 5. Local-only evidence until publication. Expires 2026-10-15 20:36 UTC.
Question: what all-cut completed-instruction defect allowance suffices for the exact 3,823-event line-normalized zero-retention decoder of PR #2707? This takes its explicit precision question, not a new inverse or controller construction.
Base main: 78ceed4. Dependency: PR #2707 at efa51a6. Task joint-query-controller, refined to one approximate-child caller obligation. Weighted draw 51c16552561ea1c8d73916172afb54b6, recursive-interfaces.
Method: independently implemented exact rational forward triangle envelopes and reverse sensitivity checks at every changed-field cut of the pinned literal word. Norm is the maximum per-owner payload Hilbert norm. Native children and affine cover maps have inherited ideal unitary semantics; completed ADD/line/map errors are charged separately, with exact owned CLEARs. Borrowed source arrays must never be written. Positive fixture plus native/map, chronology, clearing and source/receipt corruption controls. Bound all loops by the fixed word size.
Expected artifact: research/qq16-zero-retention-defects/, a written sufficient all-depth caller lemma, complete numerical receipt and registered replay. Entry/F0/B1 bounds, physical component rounding, child internals, placement/movement, output consumer and supplier admission remain open. No new kappa or selected-frontier change.
Overlap: complete cached snapshot at 18:31 UTC, 767 open PRs and 1,344 Discussion records, plus fresh exact PR2707 and newest QQ16 PR descriptions. PR2628/2670/2692 cover the different retained-record word; PR2663 covers borrowed-field reuse there; PR2722 prices scratch access for PR2709. None transfers precision to this new word. Credit ywz65/PR2707, Arham Tahir/PR2681, PR2540 and the retained Ali Romman/QQ16/native lineage. Stop after this local obligation or the first unresolved assumption that prevents the stated bound.
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