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DONE: sharper R437 row stock and arithmetic descendant certificate (#4685) #4682
Replies: 14 comments
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DONE — one Program/row correspondence witness; numerical admission remains open Status: 2026-10-22T17:57:15Z / priority revision 7 / author-checked finite evidence. The R437 D SOURCE87 request 1676 at semantic q=3,w=1 and conservative K^7 stock produces the actual 2048 → 64, depth 0 → 1 Program STEP. The literal Python 3.12 ordinary/optimized registered checks, source-history/committed-byte preflight, committed export integrity and Git-free replay pass. Corrupted retained executable and live caller bytes reject before execution; export bytes restore exactly. A separate adversarial agent reviewed the source and claim boundaries. For the original submission, hosted workflow 39826879451 was awaiting approval and had no job result; no hosted CI pass is claimed. Limits and next task: this uses an authenticated, isolated historical loader projection; q=3,w=1 is outside numerical admission. The payload is empty, the geometry power adapter is disclosed, and the smaller stock is not installed. No complete supplier, selected-frontier change or new kappa. The next useful task is an admitted q127/root-coupled-precision correspondence or an actual descendant ingress/second-STEP join; first bound those large tapes and retain the root's parameters. Full payload/backing and physical costs remain blockers. The claim is released. Originally claimed the first Program-binding handoff of PR4685 ( {"schema":"integer-mult-coordination/v1","kind":"DONE","task":"r437-carrier-integration","scope":"One source-authenticated q=3 R437 actual Program STEP and literal prepare_child row handoff joined to arithmetic descendant stock; numerical admission and payload excluded.","base":"b58ad9ef4d4e861b0eaa5dba41742bdc072dca51","expiry":null,"artifact":"https://github.com/CrocSwap/integer-mult-bounds/pull/4732"}Account correction: #4723 → #4732. Reopened under JoyboyBrian with the exact same tested commit; the earlier PR is closed. Any hosted-workflow status above describes the original submission, not a new CI result. |
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DONE — actual R437 descendant ingress and stock guard; claim released. Public artifact: PR #4741, exact head PR4732's actual produced child capsule and returned grant words now enter Nine injected controls are rejected by the actual ingress: runtime width/depth, STEP rank, root unit, directory/source-code association, high digit, fresh-family factor and the 9475 guard. A doubled-stock control passes the real local guard while the separate exact parent-row correspondence rejects it. Program/directory/source bytes and heads, Count values and heads, and numerical live sets are checked. The entry's expected normalization changes padded Local evidence on the published head: registered ordinary and optimized replay pass (about 25 seconds each); committed-byte/source-history preflight and export integrity pass for all 409 package/input files; ordinary and optimized Git-free replay pass; changed retained executable and live caller input reject before import; all 410 exported files remain byte-identical after restoration. The planner selects only this package. A separate agent read the source/AST/claims and found no material mismatch; this is not independent human or formal-kernel acceptance. No hosted CI result is claimed here. Limits: historical q3,w1 semantic fixture, outside original-root numerical admission, conservative K^7 stock, empty source payload. Child ingress is invoked directly after root Narrow next handoff: bind the next source-derived prefix/event/STEP while retaining original-root precision and exact stock. This width64/rank2 node's next child is a leaf of width 2; first inspect that actual leaf producer boundary rather than claim another internal Fresh submission check retained canonical main Credit Mihir Srivastava/PR4685, Brian/PR4732, Chris R/Clear1nsight, unpaidmoon, Jose Manuel/jmbarrancoml, David Arias, Nick Petalas, ywz65, Tekalign and the retained R437/source/hosting lineage. Brian (JoyboyBrian), substantial OpenAI Codex assistance; Apache-2.0. {"schema":"integer-mult-coordination/v1","kind":"DONE","task":"r437-carrier-integration","scope":"Actual descendant ingress through generated coefficient and binary-Count stock guard joined to PR4732 capsule; no second STEP or numerical admission","base":"b58ad9ef4d4e861b0eaa5dba41742bdc072dca51","expiry":null,"artifact":"https://github.com/CrocSwap/integer-mult-bounds/pull/4741"} |
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DONE / FINDING — root-produced child to actual leaf dispatcher; claim released. Public artifact: PR #4759, exact head The actual 2048→64 capsule follows the PR4732/4741 root/ingress route, then enters literal Boundary: this is a source-bound metadata chronology audit. An explicit observer replaces the entire packet interpreter; payload atom swaps, signs and split/merge loops are not executed. The 12-request chronology is prescribed for successfully completing primitive passes; malformed payload can abort before merge. The empty payload proves no such completion. q7/w1 remains semantic, below numerical admission. No complete node/leaf payload, supplier admission, physical tariff or κ is claimed. PR4176 already covers the independent 64→2 leaf, 12 coefficients and 972-bit physical consumer; PR3957 covers nested physical protocol. The increment is the root-produced ancestry joined to literal leaf dispatch and generated second-STEP lifecycle. PR4732/4741 setup and PR4685 arithmetic are reused with attribution; historical loader and geometry adaptations are disclosed. Registered normal/optimized replay passed; final committed Git-free cold replays passed in 38.805/41.577s. Source-history/committed-byte checks passed for 409 files. Live/retained source mutation and boolean-to-integer RESULT corruption reject; all 410 cold-export files remain unchanged. Independent agent source/scope review found no blocker. Hosted CI has not been verified; no hosted pass is claimed. Fresh 19:10 UTC overlap and relevant predecessor heads were rechecked before publication. Selected conditional κ remains 0.00302015. Next handoff: bind a real bounded producer/payload execution to this root-produced ancestry, or an admitted-root binary boundary. Do not repeat the already covered standalone PR4176 leaf. Complete parent peel, payload/backing, restoration and encoded tariffs remain open. Brian (JoyboyBrian), with substantial OpenAI Codex assistance. Prior authors and source lineage are credited in the package. This is finite author/agent checked evidence, not independent human or formal-kernel acceptance. |
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DONE / FINDING — opt-in sharp-stock original-root entry; claim released. Public artifact: PR #4757, exact head An isolated copy of authenticated At actual q=2^127−1, e=n=128, h=0, w=2, D=2 with SOURCE87 request 1676/common/rank2, stock Boundary: host root-parameter validation only. The inherited The stock mathematics belongs to Nick Petalas/PR3246, the ordinary adapter to Tekalign/PR3264, and the retained arithmetic checker to Mihir Srivastava/PR4685. PR4734 already supplies q127 metadata handoff and the exact ordinal-count adapter retained here. This does not re-claim those results. PR4732/4741 and Chris R/Clear1nsight's original entry/source work remain credited; historical source projection and bound-method identity limitations are explicit. Registered normal/optimized replay passed. Final committed Git-free cold replays passed in 9.813/9.749s; source-history preflight passed for 410 files. Live/retained source mutations and boolean-to-integer receipt corruption reject; all 411 exported files remain unchanged. Lead source/claim review found no blocker. Hosted CI has not been verified; no hosted pass is claimed. Fresh 19:10 UTC overlap and predecessor heads were checked. Selected conditional κ remains 0.00302015. Next handoff: bind the sharper root parameter certificate to actual binary Count and Program/row ports while retaining original-root precision, then charge encoded guard/ordinal/payload costs. Root parameter acceptance and abstract stock sufficiency do not close those obligations. Brian (JoyboyBrian), with substantial OpenAI Codex assistance. Finite author/agent checked evidence, not independent human or formal-kernel acceptance. |
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DONE / FINDING — nonzero-high R437 physical leaf and literal SOURCE87 consumer. Public artifact: PR #4793, exact head The actual compiler-resolved GOOD charts, actual generated second STEP, actual incoming evaluator, unchanged leaf packet interpreter and actual XOR consumer execute two different complete nonzero-high prefixes at q3,w2. Each four-atom fiber has 6,561 dirty bits (13,122 total); weights The finite adapter is explicit: two selected complete prefixes replace infeasible independent copies. The package derives prefix separability from original source, checks the high-cube index/offset embedding within the fixed old-prefix/low-class block, and proves projection commutation. It does not execute the Credit: Chris R/Clear1nsight #4176 already executes the q3,w1 zero-high produced child/consumer; this result does not reclaim that boundary. #4759 covers the independent root/block metadata chronology and is not silently composed into the borrowed fixture. Retained compiler/caller/arithmetic lineage remains unchanged. Ordinary and optimized replay, metadata, committed-byte/source-history preflight and official export/integrity checks pass. Git-free cold ordinary/optimized runs took 49.344s/48.216s; live-source, retained-source and bool→int receipt corruption reject; all 409 exported files are unchanged. Same-session independent source review found no blocker. Hosted CI passed for exact head Open handoff: join an admitted original-root produced history to nonzero-high payload and explicitly charged GL64 gather/full spectator execution; implement the full high directory or a physically charged representation before inferring a uniform supplier result. Brian (JoyboyBrian), substantial OpenAI Codex assistance. The original claim is complete; no further active claim under this comment. |
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DONE / FINDING — actual binary Count high-factor batching, with an explicit setup/state tradeoff. Public artifact: PR #4794, exact head For valid fixed contexts (prime q, m≥1, modulus q^w, w≥1), the isolated adapter replaces m² radix traversals and m²(w−1) q-divisions with one radix traversal and w−1 divisions by C=q^(m²), without decoding runtime w. The scoped argument proves the same quotient and accepted divisibility domain; the actual four-statement caller quotient/save/stock guard and source save helpers execute on Count tapes. Matched physical cases cover m2,w1/2/3; m4,w2; m64,w1. A candidate-only m64,w2 case uses real 9475/28416/GL64 factors; original m64,w2 replay and full payload remain unrun. This is a cost tradeoff, not an unconditional physical speedup. At m64,w1 the record action count is unchanged 755,782 and residue actions fall 4,808,704→1,174. Yet explicit construction of the 6,493-bit divisor takes 13 multiplications / 14,066,186 schoolbook bit products; under that unamortized charge it already exceeds the scan saving. A literal finite controller has C remainder states; binary state must pay its own arithmetic. Every division width and construction operand width is recorded. The linear-bit proxy is diagnostic and not a proved binary-TM step bound. No default backend, stock theorem, κ or supplier admission changes. Valid-context failure controls preserve borrowed Counts and restore ownership. The deliberately invalid modulus8 control reveals the unchanged radix iterator's two-slot numeric leak in both versions; the receipt marks restoration false and records harness-only rollback. That case is outside the refinement theorem and is not presented as a runtime cleanup repair. Credit: David Arias PR2753 runtime; ToikY PR4025/directory setup-radix work; #4757 sharp parameter entry; NickPetalas #3246, Tekalign #3264, Mihir #4685 and codyw912 #4734 stock/adapters. The 9475 factor is not re-proved. Ordinary/optimized replay, metadata, committed-byte/source-history and official export/check pass. Git-free cold ordinary/optimized runs took 1.053s/1.120s; live-source and bool→int receipt corruption reject; all 31 exported files remain unchanged. Root source review found no blocker after cost-model clarification. Hosted CI subsequently passed at this exact head; no formal-kernel acceptance is asserted. Final scoped overlap review used the complete 19:59:26 UTC cache, with no additional same-obligation lead requiring a pivot; no exhaustive novelty claim. Open handoff: physically price the large divider and setup amortization, compare shared-radix q-division without expanded controller state, separately repair invalid-context radix cleanup, and join encoded quotient to admitted root rows/full caller payload before claiming supplier admission. Brian (JoyboyBrian), substantial OpenAI Codex assistance. The original claim is complete; no further active claim under this comment. Hosted CI verification — 2026-10-22 20:12 UTC: both checks passed at exact head |
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DONE — uniform source-bound complete-prefix leaf/consumer composition; claim released. Public artifact: PR #4981, exact head A new opt-in prefix-major interface completes one actual local leaf, immediately consumes its return through the original SOURCE87 XOR consumer, clears local copies, and advances. The source proof reorders only distinct-prefix effects; all per-prefix primitive and callback chronology is preserved. It applies to a complete finite producer directory and matching packets, including the full high cube when supplied, under deterministic restoring callbacks, the same valid leaf trace and a read-only observer. Equality concerns payload and borrowed logical state, not meters, allocator order, lazy-cache bookkeeping or global callback logs. The actual q3,w2 differential reuses credited #4793's two distinct high prefixes: both schedules execute 24 callbacks and 13,122 dirty bits, agree with the independent output oracle, and preserve borrowed/dirty state with erased owned backing. The fused consumer receives two 6,561-bit local returns. The entire high cube, full admitted-root ancestry and physical allocation/tariff remain unexecuted; no speed/space saving, supplier or κ claim follows. Arbitrary inherited inner-error cleanup remains outside the positive theorem. Metadata, committed bytes/source history, final export/integrity, Git-free normal/optimized replay (91.051s/88.901s), source/retained corruption and typed RESULT bool→int rejection pass; all cold bundle bytes restore unchanged. Independent source review found no blocker. The final documentation-only precision change was re-exported and byte-compared: execution, inputs and receipt are identical. Hosted CI verified 2026-10-23T05:35:17.859015+00:00 at the exact published head: both checks passed (check 1, check 2). Automated execution does not imply maintainer or scientific acceptance. Credit #4176, #4793 and the retained packet/callback/compiler/arithmetic lineage; #4854's quotient and #4927's directory/reserve work are independent. Next: supply a physically charged complete-prefix producer and reusable allocator, then connect admitted-root gather/spectators. JoyboyBrian, substantial OpenAI Codex assistance; Apache-2.0. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "r437-prefix-consumer-fusion",
"scope": "R437 prefix-major physical leaf to XOR-consumer fusion",
"base": "b91956876e5b4122fd89179f1b57557ff8378f15",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/4981"
} |
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DONE / FINDING — admitted q127 root to the first actual binary Count consumers; claim released. Public artifact: PR #4987, exact head The original source-authenticated root entry at q=2^127−1, e=n=64,w=2,h=0 and L255/I8/Q520213 now drives an actual 1,040,413-bit Count, the credited #4794 opt-in quotient, and all 17 literal NODE statements through the initial fibre product. The real 9475 guard and saved-leading consumer execute; unused, leading and initial fibre are all 9475. The boundary adapter explicitly returns and disposes the original local fibre before checking temporary cleanup. Borrowed Program/count bytes and heads, dirty Count 173 / Word 37, numeric live sets and erased record backing pass; six wrong-entry controls reject before continuation. The attempted full pre-payload path reached original multiply_atom_power and hit its external 90 s limit at 90.505 s. Its exact source is retained in commit The full setup/execution/disposal invoice and 3,122,293 visited record cells are recorded. The 520,192-bit compiled divisor has 13 construction products / 90,200,420,437 schoolbook bit-products; native large-integer operations are not unit-cost binary-TM instructions. Full Context, complete fibre expansion, physical codebook/divider/allocation tariff and payload remain open. No uniform improvement, supplier or new bound is claimed. Metadata, committed-byte/source-history preflight and official export/integrity pass. Git-free cold normal/optimized replay passes (55.993s/55.552s), generic live and retained-source corruptions reject, the newly composed quotient/ordinal input mutations reject, and typed RESULT bool→int corruption rejects after replay. All 414 export files restore unchanged. Hosted CI verified 2026-10-23T05:35:17.859015+00:00 at the exact published head: both checks passed (check 1, check 2). Automated execution does not imply maintainer or scientific acceptance. Credit David Arias #2753, Chris R / Clear1nsight #4176, #4794, Nick Petalas #4854, codyw912 #4734, ToikY #4025 and the pinned stock/compiler lineage. #4927's independent directory/reserve audit is not repeated. Next: complete and charge the original expansion, then full Context/gather/payload composition. JoyboyBrian, substantial OpenAI Codex assistance; Apache-2.0. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "r437-admitted-count-consumer",
"scope": "Admitted R437 binary root Count to actual consumer composition",
"base": "b91956876e5b4122fd89179f1b57557ff8378f15",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/4987"
} |
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DONE / FINDING — PR #5025, exact published head The original R437 root A new opt-in sequential unary radix cache validates the immutable modulus once and retains the original encoded exponent Counter and every original Count multiplier. The source-bound proof applies uniformly to valid finite contexts. Read-only actual-call observations confirm one invocation, two Word divisions and all 256 Count.multiply_small calls, versus the original 256 radix divisions for this exponent segment. No runtime Word.inspect or host numerical decoding drives execution. The completed local run is evidence of completion, not an asymptotic runtime claim or a controlled cross-revision speed comparison. The stated registered normal/optimized checks, committed-byte/source-history checks and official export integrity passed. Git-free cold replays and actual corruption controls are recorded in the PR. The public artifact retains exact commands, predecessor attribution and all remaining physical, compiler, ownership and scientific obligations. Hosted CI is separate and has not been reclassified by this completion update; use the PR checks for live status. DONE does not imply maintainer or scientific acceptance, a complete supplier or a selected-frontier update. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Original claimed plan, retained for provenanceCLAIM — admitted R437 NODE to its completed binary fibre Count. I take Open next question 1 of JoyboyBrian's #4987, whose original q=2^127−1 exponent segment exceeded its external 90-second diagnostic bound. The target is the actual original checked root e=n=64,w=2,h=0, not a tiny replacement. I will validate the immutable radix power once into an owned sequential unary tape, then retain the original encoded exponent Counter and every original Count.multiply_small(q), and continue the literal NODE through its suffix product and saved fibre before peel. The intended exact result has 32,526 binary Count bits. Runtime Word.inspect/host integer decoding remains forbidden. Family decision: NARROW to one failed measured implementation boundary. #4987 already supplies root ingress, stock, leading and initial fibre; #4854's quotient work and #4981's leaf/consumer fusion remain credited distinct scopes. One-cache validation removes repeated long divisions without changing the Count multiplication word. Complete Context/codebook setup, gather/payload, fixed finite-control pricing, allocator/tape and supplier admission stay UNKNOWN; unknown costs are not zero. First fixture is the actual admitted q127 continuation. Controls compare unchanged original versus cached helpers on bounded q/w/exponent domains, reject malformed moduli, and preserve borrowed bytes/heads plus dirty spectators and erase every owned temporary. Stop at the completed Count boundary or a concrete failure; no full payload or new kappa is claimed. Canonical main bee95ce, priority revision 7, selected conditional kappa 0.00302015 unchanged. Fresh cached overlap covered 310 open PRs (06:05:59 UTC), 4096 Discussion records (06:06:48 UTC), and all 6690 tracked local notes. The relevant canonical Discussion and nearest predecessors were read. No matching delivery was found within this bounded coverage; sparse prose, arbitrary diffs and unpublished work remain limitations. Evidence is LOCAL-ONLY until publication. Claim expires 2026-10-23T08:30:00Z. Prepared by JoyboyBrian with substantial OpenAI Codex assistance, Apache-2.0. No independent human or proof-kernel acceptance. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "r437-carrier-integration",
"scope": "Original admitted R437 NODE through completed fibre Count with one encoded immutable-radix validation, unchanged Count multiplication sequence and full local restoration",
"base": "bee95ce88f9f19802f0613f92838895cd0e14a1f",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5025"
} |
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DONE / FINDING — PR #5055, exact published head The complete high-prefix directory streams through retained packet/XOR consumers while preserving source order and duplicate entries. The complete reduced prefix cube and separately labelled actual64 selected-prefix calibration pass. Existing per-leaf allocation and full input/output inventories remain charged; no global reserve or physical payload tariff closure is claimed. The PR and package record the exact local validation, source provenance, reproduction commands, finite calibration, remaining obligations and unrun checks. Source and proof review are AI-assisted; no independent human or proof-kernel acceptance is implied. Hosted CI is separate and has not been reclassified by this completion update; use the PR checks for live status. DONE does not imply maintainer or scientific acceptance, a complete supplier or a selected-frontier update. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Original claimed plan, retained for provenanceCLAIM — Stream the complete R437 high-prefix domain directly into the real prefix-major consumer Question: Can all old physical prefixes and every q^((w-1)*dimension^2) current high field be emitted in exactly original order into #4981 leaf/XOR fusion using persistent owned prefix/odometer storage, eliminating the whole newly materialized directory without inferring a physical payload saving? First discriminating fixture: Complete q=3,w=2,dimension=2 high cube of 81 matrices, two distinct physical old prefixes including repeated bytes as separate multiplicities; compare every emitted byte/order/count and the fully consumed packet against original directory.produce, then actual dimension64 nonzero-high callback calibration from #4793/#4981. The generic complete cube and actual selected64 calibration must remain separately labelled. Family decision and full obligation ledger: EXPAND ONCE only because #4981 independently resolved functional prefix-major fusion. Compare against retaining the original full producer; the deleted work is writing/retaining/rereading the entire new directory, replaced by one charged current-prefix emission. No global kappa/construction claim from this interface result. Boundary: Borrowed canonical old-directory tape with old_count physical multiplicity (duplicates retained), encoded old_fields, q^w Ring, authenticated source code/context, two complete matched payload tapes and a closed prefix-local leaf trace. Output: Same owned full XOR output as original produce+eager/fused schedule; borrowed bytes/heads restored; current/new-prefix work cleared and retired. Owned/borrowed: Persistent old-prefix and current-prefix tapes, one odometer, encoded emitted/expected counters, existing explicitly retained local leaf workspace/output. Reads and restoration: Every old field word/range check, all high digits in original odometer order, every local callback, both payload fibres. No skipped callback or false output oracle; exact normal success cleanup, declared malformed-source tests, no unproved inherited arbitrary-error rollback. Ledger:
Success: A written all-dimension source-order/functional-equivalence induction plus an actual persistent-role producer and complete bounded-cube differential; exact current-directory backing bound independent of the number of emitted prefixes; all original validations and callback chronology preserved. Stop: Stop if producer/consumer cannot be connected without silently materializing the whole new directory, if an actual source mismatch appears, or if the only result is another two-prefix/sample census. Do not add more NODE statements or assert admitted q127 whole payload execution. Overlap and distinction: Active #4927 audits existing complete-directory serialization and metadata absorption; this changes the producer/consumer schedule and persistent representation. Read/coordinate before claim. Current exact cached streaming/all-node terms found no matching active delivery; no novelty certificate. Fresh full cache covers 320 open PRs (06:50:51 UTC), 4130 Discussion records (06:51:43 UTC) and all 6710 f259 canonical-main notes; arbitrary diffs and unpublished work remain outside coverage. Canonical base f259dab, priority revision 7, selected conditional kappa 0.00302015 unchanged. Evidence is LOCAL-ONLY until publication. Predecessors: #4981 at 0acc7ba, #5025 at 764b06d. Full original source/author notices retain credit. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. No independent human/proof-kernel acceptance or new supplier claimed. Claim expires 2026-10-23T09:02:00Z. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "r437-carrier-integration",
"scope": "Can all old physical prefixes and every q^((w-1)*dimension^2) current high field be emitted in exactly original order into #4981 leaf/XOR fusion using persistent owned prefix/odometer storage, eliminating the whole newly materialized directory without inferring a physical payload saving?",
"base": "f259dabc7d70e0db8d6d36bfda888f008bbfecc1",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5055"
} |
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DONE / FINDING — PR #5087, exact published head Literal binary-tape division realizes the actual three zero-remainder guards and constructs q^(d²) with a separately charged binary multiplication sequence. Canonical input/head/alias controls and complete retained backing are explicit. Supplied family/GL/radix tapes and the inherited Word/Context/full-caller tariff remain separate obligations. The PR and package record the exact local validation, source provenance, reproduction commands, finite calibration, remaining obligations and unrun checks. Source and proof review are AI-assisted; no independent human or proof-kernel acceptance is implied. Hosted CI is separate and has not been reclassified by this completion update; use the PR checks for live status. DONE does not imply maintainer or scientific acceptance, a complete supplier or a selected-frontier update. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Original claimed plan, retained for provenanceDRAFT ONLY — NOT POSTED; LOCAL-ONLY initial evidence. Root sets final claim time/expiry. CLAIM — Realize the admitted R437 batched quotient with explicit binary remainder tapes Task: Question: Can the existing batched Count quotient be lowered from a 520192-bit Python remainder and compile-time bigint divisor to a fixed-tape binary implementation with a complete constructive time/backing invoice, preserving the actual Count quotient, remainder guards, normalization and borrowed heads? Family decision: Narrow the integration card to its explicitly named physical Count arithmetic assumption, not overall carrier admission. First discriminating fixture: Run a true unit-head-move binary comparator/subtractor on every 0<=N<256 and 1<=D<32; compare quotient/remainder and normalized source Count bytes to Natural.divide_small. Include nondivisible row rejection, D>N, zero, leading-zero normalization, D near a power of two, full dirty spectator and borrowed-divisor restoration. Then drive the real compile_quotient adapter at q3/d2/w2 with all family/GL/high guards; preserve exact original call word. The q127 divisor and root lengths are symbolic parameter instantiations, never replaced by a tiny claimed production replay. Complete ledger: {"proved_or_inherited": ["Source fresh-row algebra and original Count call sequence; q127 root and full fibre boundaries from #4987/#5025", "Compiled divisor is q^(d*d); q127/d64 has 520192 bits, actual input Count has 1040413 bits"], "constructive_upper_target": ["Initialization/construction or explicitly imported divisor cost, complete per-bit remainder shift/compare/subtract, quotient writes, normalization, rewinds, owned erasure and fixed scratch backing", "Separate compile-time repeated-squaring binary multiplication invoice if construction is claimed; otherwise disclose compiled divisor supply as still conditional"], "lower": ["At least input/output scanning; no optimistic speedup or favorable QQ16-type sign required"], "unknown": ["Complete Context/codebook, payload peel/gather, producer/caller physical reserve and outer supplier admission remain unknown", "Full q127 O(ND) execution is deliberately unrun; exact formula evaluation is not execution"]} 20-minute gate: Within 20 minutes pin all divisor interfaces, build one literal binary divide with correct quotient/remainder/head behavior and derive a conservative finite upper bound for one iteration. If implementing this requires unbounded hidden control or incompatible Count ownership, stop with the exact source contract obstruction rather than another diagnostic count. Success/stop: Success: source-equivalent encoded quotient with complete named-lane tariff and backing proof plus real-adapter small fixture. Stop: arithmetic/source contract fails, divisor construction secretly uncharged, or full caller claim would require unknown Context/payload work. Boundary: Uniform scoped quotient refinement plus small exhaustive execution; no full q127 execution, no runtime speedup or kappa. Do not let an arbitrary precision host integer enter simulated decisions, addresses or remainder arithmetic; host integers allowed only outside execution as independent oracle/parameter arithmetic. Validation: Pin source files and original adapter at checkpoint; preserve frozen bytes; normal/-O, mutation controls dropping compare/subtract/normalization/erasure, typed receipt/source corruption, committed source history and Git-free export. No Lean/Docker or huge replay. Adjacent claims: #4682 (comment) — PR5025 completes Count exponent with shared radix, explicitly requests binary big-divisor realization next.; #4682 (comment) — Round7 streaming replaces directory representation; this task changes arithmetic representation and charges quotient internals.; #4927 — Independent complete-directory/logical reserve audit; no physical big-divisor arithmetic construction claimed. Overlap: full round8 cache320 open PRs at07:41:25UTC and4168 Discussion records at07:42:18UTC, plus6760 tracked local notes at the current checkpoint. Focused changed-record review found no competing binary-divisor or source-encoder claim in this coverage; closed arbitrary diffs and private work remain outside it. Search absence is not a novelty certificate. Credit JoyboyBrian and the named predecessor authors, including Chris R/Clear1nsight, Mihir Srivastava, Nick Petalas, ToikY, codyw912, David Arias, Jose Manuel, Tekalign, ywz65 and retained source notices as applicable. Prepared with substantial OpenAI Codex assistance. No selected-frontier change. Final pre-claim refresh: canonical main Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Original sources and predecessor attribution remain intact. This canonical investigation will be updated in place with its public artifact or precise handoff. Claim expires 2026-10-23T09:55:45.700667+00:00. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "r437-carrier-integration",
"scope": "Can the existing batched Count quotient be lowered from a 520192-bit Python remainder and compile-time bigint divisor to a fixed-tape binary implementation with a complete constructive time/backing invoice, preserving the actual Count quotient, remainder guards, normalization and borrowed heads?",
"base": "4c0a359d88f22f05189d51f48387750b801a45d4",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5087"
} |
HANDOFF — the pooled preparation fixture is a leaf, not a child-capsule dispatchStatus: stopped at the declared source-feasibility gate; no implementation package, PR, full preparation invoice or physical-admission claim. Canonical task: round8 task06. Exact research base The proposed first fixture cannot exercise the promised adoption edge. PR4062, exact source head The retained SelectedBinding sets cutoff64. The literal Machine.block dispatches A local-only lightweight test evaluated the exact parsed The first eligible UNIT child requires parent width at least4096. Even at q3,w1 with all exterior spectator factors one, its complete two-bank body has at least The useful next task is a uniform source-bound arbitrary-payload acquisition-to-capsule theorem at the n>=4096 internal cut. It must first connect the full incoming payload cardinality and dirty acquisition/gather to The existing Context/directory/first-prefix/child-program subinterval invoices stay credited. Full acquisition, complete named-interval source and physical prices, production execution, whole-caller reserve, supplier admission and κ remain unresolved. Unknown terms were not set to zero. No heavy replay, catalogue regeneration, Lean or Docker run was used for this gate. Credit Chris R/Clear1nsight #4062/#4010, ToikY #4025, Jose Manuel/jmbarrancoml's physical caller, David Arias, Nick Petalas, ywz65, Ross Richardson and all retained R437/native sources. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; source observations are not independent human or formal-kernel acceptance. {
"schema": "integer-mult-coordination/v1",
"kind": "HANDOFF",
"task": "r437-carrier-integration",
"scope": "For the actual pooled native IDLE896352 rank14/Q6512 context of the preparation-composition handoff, can the complete residual_begin-to-prepare_child interval include preceding dirty acquisition, geometry, child_extents, all eight capsule copies, grants and disposal under one explicit source/ownership contract, with every source action and retained backing charged?",
"base": "4c0a359d88f22f05189d51f48387750b801a45d4",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4682#discussioncomment-19141164"
} |
|
DONE / FINDING — PR #5107, exact published head Derived explicit source-bound completed gather/route/scatter cell-action and retained-backing upper bounds through original-owner commits and cleanup. Actual fixed-pool d1/d2 complete-family replays pass; independent review corrected per-cube chart setup and both pool-boundary charges. Scope refinement: fixedcompiledq,d,R and suppliedvalidContext; finite-control/codebook setup, complete node/parentreserve and selectedadmission remain open. The PR and package record the exact local validation, source provenance, reproduction commands, finite calibration, remaining obligations and unrun checks. Source and proof review are AI-assisted; no independent human or proof-kernel acceptance is implied. Hosted CI is separate and has not been reclassified by this completion update; use the PR checks for live status. DONE does not imply maintainer or scientific acceptance, a complete supplier or a selected-frontier update. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Original claimed plan, retained for provenanceCLAIM — Complete source-bound R437 gather/route/scatter tariff and retained backing Question: For the unchanged selection.packet_operation, routes.route_packet/route_cube and Machine gather_route/route_scatter branches, derive an explicit all-parameter tape-action and retained-backing upper bound through original-owner installation and cleanup, including binary Count loops, high-key arithmetic, decorated stable partitions and all copies. Establish the true completed G/S/R implementation contract requested by PR3980, rather than another symbolic operation census. Base: 81e9bd6; priority7. Predecessor: PR3980 at 24f680c. First discriminating fixture: Complete q3,w2,dimension1 low vocabulary, three physical old prefixes including duplicate bytes, fibre2 and nontrivial chart2/inverse1/2: full gather→route→changed complete packet→inverse route→scatter through actual Machine branch. Preserve arbitrary unselected rows, old-prefix multiplicity and borrowed heads. Then dimension2 complete81-high cube with source-compatible chart, never selected-prefix projection; >30s needs root slot. Twenty-minute gate: Read every reachable arithmetic/Counter helper and identify a finite constructive bound in declared encoded lengths; execute the complete dimension1 actual dispatch with an allocation observer that keeps cleared tape backing. Stop immediately if host-decoded unbounded state or unbound setup prevents the promised binary tariff; publish the precise missing helper/contract instead of substituting unit cost. Complete ledger:
Scope: No automatic extension of R8binarydivision or R7streaming. Consume original arithmetic as separately proved source functions or honestly leave a failed closed-bound gate; do not label a ring-operation invoice as binary-TM closure. Fixed-q compile_route setup must be charged or explicitly retained outside the completed runtime contract. No payload-volume substitution. Success/stop: Success is written uniform bound plus actual complete-volume boundary agreement and omission controls (missing high carry, stale scatter, dropped duplicate prefix, missing clear/rewind). Stop at first source/physical mismatch; no optimization or new construction is necessary. Overlap and distinction:
Prepared by JoyboyBrian with substantial OpenAI Codex assistance. No supplier or frontier change. Claim expires: 2026-10-23T10:59:50.877866+00:00 {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "r437-carrier-integration",
"base": "81e9bd69e4a5b00ba9c713a1620e36d576d5522e",
"scope": "For the unchanged selection.packet_operation, routes.route_packet/route_cube and Machine gather_route/route_scatter branches, derive an explicit all-parameter tape-action and retained-backing upper bound through original-owner installation and cleanup, including binary Count loops, high-key arithmetic, decorated stable partitions and all copies. Establish the true completed G/S/R implementation contract requested by PR3980, rather than another symbolic operation census.",
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5107",
"expiry": null
} |
|
DONE / submitted — scoped persistent leaf/XOR workspace Result: PR #5187, head New result. The unchanged complete streamed leaf/XOR consumer uses one inventory of Evidence. The complete q3/w2/d2 fixture executes all 243 physical prefixes, including duplicate bytes, all 19,683 dirty payload bits and 1,458 callbacks. One 145-role pool retires all 261,468 leases and retains 1,248 cells after its first and final prefix. The separate actual SOURCE87 request1676 calibration uses its produced Program and real coefficient callbacks on two nonzero dimension-64 prefixes and 13,122 payload bits; all 134,854 leases retire. It is not a full 3^4096-domain execution. Every boundary checks identical physical roles, blank backing, unique retirement, exact clear tariffs and traffic conservation; insufficient capacity, omitted retirement, bypassed constructors and dirty reuse all reject. Ordinary and optimized registered Python 3.12 verification passed. Both modes also passed in a fresh Git-free, empty-executable-PATH, read-only committed export, with all file hashes unchanged. Final-head metadata, committed-byte/source-history and export integrity checks passed. Only a README clarification of oversized-pool charges followed the cold replay; all executed code, inputs, receipts, proof and manifests were checked identical. Publication export SHA256: Hosted CI run 39950400985 passed on publication head Limits / handoff. Successful authenticated synchronous callbacks and sufficient supplied arenas are assumed. Arbitrary-exception rollback, full q127/GL64 execution, an all-parameter tariff for source T, complete node/recursive restoration, Context/codebook setup, precision/stock and native/compiler/outer admission are not supplied. A useful next step is to bind this leaf boundary and #5055's producer ledger to the unchanged R437 canonical call/return owners, retaining every resident. Coordinate a fresh claim before that work. No selected-frontier or kappa change is claimed. Base: fresh main Krzysztof Wójt, with substantial OpenAI Codex assistance and bounded Luna supporting audits; Apache-2.0. JoyboyBrian retains #5055/#4981 algorithm, fixture and oracle credit; Jose Manuel retains physical lease/source-role proof credit; David Arias and Chris R retain logical caller/R437 bridge credit. Original notices and source pins remain intact. Author-checked source reasoning and finite corroboration, not independent human or proof-kernel acceptance. |
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Status: DONE / 2026-10-22T16:05:41Z / priority revision 7. Claim released. PR #4685, exact head
ca336bd72aff54e025a8ddbb1f3c8b756d9b9631.The pinned R437 fresh-row quotient and subsequent 9475 guard admit root stock 9475·A^D, where A=28416 |GL64(F_q)| q^(4096(w-1)), rather than the conservative (9475·A)^D. The reduction factor is exactly 9475^(D-1). The written proof establishes sufficiency for all paths under the stated rank ceiling and necessity within that path model; it does not assert all maximal paths occur in the actual compiler. A separate arithmetic certificate checks root anchoring, unchanged field/precision and exact row inheritance. No new κ or full descendant admission.
Public proof, checker, source pins and deterministic receipt.
Evidence on the final commit:
Next useful task: bind one arithmetic path to an authenticated root's actual produced Program STEP and Machine.prepare_child row handoff. The arithmetic path alone cannot establish source/request identity, actual child reachability, original-root precision authentication or physical tariffs. Stop at that one correspondence; no full payload is needed to test the first binding.
Predecessor credit: Chris R / Clear1nsight (#4067/#4176), unpaidmoon (#4147), Jose Manuel / jmbarrancoml, David Arias, Nick Petalas, ywz65 and the retained R437/hosting/source lineage. Prepared by Mihir Srivastava with substantial OpenAI Codex assistance; Apache-2.0. Author-checked proof and separate arithmetic implementation, not independent human or formal-kernel review.
Submission refresh retained main b58ad9e. Remote overlap covered 451 open PRs and 3,613 Discussion records; sparse local/historical/code-diff coverage remains partial.
{"schema":"integer-mult-coordination/v1","kind":"DONE","task":"r437-carrier-integration","scope":"Sharp R437 row-guard divisor 9475*A^D and arithmetic descendant-path certificate; no Program, physical or supplier admission","base":"b58ad9ef4d4e861b0eaa5dba41742bdc072dca51","expiry":null,"artifact":"https://github.com/CrocSwap/integer-mult-bounds/pull/4685"}Original prospective claim
Status: CLAIM / 2026-10-22T15:45:00Z / priority revision 7. Evidence is LOCAL-ONLY until the focused package is published; this is not supplier admission.
Question: close the arithmetic stock-path obligation left explicit by PR4176 NUMERICAL.md sections 5 and 7. For the actual caller's fresh-row quotient A = 28416 * |GL64(F_q)| * q^(4096(w-1)) and subsequent unused-row divisibility by 9475, can one certify every descendant without resetting original-root precision? I will also test whether the sufficient K^D stock repeats the 9475 factor unnecessarily.
Base: canonical main b58ad9e (refreshed 2026-10-22T15:44Z). Task r437-carrier-integration, selected from the bit-mechanisms draw 5b8bdff3d61d78a94ac212b844fcd944; refined to one stock implication.
Method/domain: written induction over n -> c <= 42 floor(n/64), exact independently written path checker, the literal fresh_rows.quotient control flow and Machine.node stock guard under an explicit integer Count adapter, positive old/new stock fixtures and rejected forged descendants/precision resets. Stop at this stock component; no full compiler, payload, tape-cost or selected cold replay.
Overlap: current cached complete pagination has 448 open PRs and 3606 Discussion records; searched R437, descendant/path certificate, 9475 and stock-divisor terms plus relevant materialized package notes and central ledger. Sparse local notes and closed/code-diff coverage remain incomplete. PR4584 audits the separate low-field pivot implication; PR4612 concerns selected BIT stock rather than this R437 caller.
Expected artifact: one isolated research package with proof, deterministic evidence, source pins and registered replay. Credit Chris R / Clear1nsight (#4067/#4176), unpaidmoon (#4147), Jose Manuel / jmbarrancoml and David Arias's physical caller, and retained R437/source lineage. Prepared by Mihir Srivastava with substantial OpenAI Codex assistance. Apache-2.0.
Claim expires: 2026-10-22T17:45:00Z.
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