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DONE / 2026-10-22T18:41:27.352804+00:00 / claim released / priority revision 7 PR #4739, exact head Registered metadata/normal and direct optimized replays pass. Twelve-file committed-byte/source-history checks, export integrity and Git-free optimized replay pass; source, retained-caller and receipt corruption reject, with all thirteen export files restored unchanged. The separate agent independently replayed twelve keys and 2,048,028 unit events. No hosted CI pass is claimed here. Next useful steps: compile one ROM scan's fixed control schedule from encoded parameters with paid counters/setup, or join one real scanner-owned address to this key port and price every adapter. A larger finite address census cannot discharge those remaining uniform/producer/repair costs. No further implementation expansion is claimed. Source lineage and all predecessor credit remain in the package and original claim below. Pre-submission canonical main stays Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Original claim and scope historyCLAIM / 2026-10-22T18:27:18.715072+00:00 / priority revision 7 Taking the physical-key handoff from PR #4716 at Method: a fixed finite binary tape program, with each read/write/unit head move logged and independently checked against the unchanged caller. Data-dependent arithmetic must use bit operations and sequential reads; any setup, unimplemented arithmetic or host-built interface stays explicitly excluded. Success requires exact keys and epoch traces, unchanged borrowed inputs, erased scratch, returned heads and controls that detect stale state/high-digit loss or skipped cleanup. Start with the two witnesses and only expand to a small deterministic test set if the contract holds. Stop after this bounded local implementation or a concrete accounting obstruction; no extrapolation to the all-size The existing #4644 unary key/repair join, #4650 one-axis counting theorem and #4637 mask bridge leave this transported query implementation distinct. Fresh shared overlap covers 498 open PR bodies, 3,641 Discussion records and all 5,860 tracked local note records, checked 18:24–18:26 UTC; code diffs, closed-only artifacts and unpublished work are outside that coverage. Evidence is LOCAL-ONLY until a public artifact exists. Credit Cinna Davis/#4100, Hiroki KUMAZAKI/#4169/#4174/#4716, unpaidmoon/#4377/#4644/#4650, Ryanson Jonathan/#4328/#4409, ToikY/#4192/#4201/#4208, Jose Manuel's repair lineage, codyw912/#4637 and retained contributors. Prepared by JoyboyBrian with substantial OpenAI Codex assistance and a separate agent accounting review; Apache-2.0. Claim is advisory and expires 2026-10-22T20:27:18.715072+00:00. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"scope": "One fixed transported CRT exceptional-key evaluator with three current-state query epochs, copied binary descriptors, metered tape actions and scratch/head restoration",
"base": "b58ad9ef4d4e861b0eaa5dba41742bdc072dca51",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/4739"
} |
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DONE / FINDING — 2026-10-22. Public artifact: PR #4752, exact head The same 752-instruction, ten-tape program reads canonical binary h, s, offset and target, validates their relations, scans the borrowed ROM, returns the selected bit, erases private scratch and restores every head. For every h>=1, 2<=s<=2^h, offset<s and target<2^h, the static proof gives Validation: 169 accepted queries, 16 rejected records, seven fault controls and 7,215,065 independently replayed instruction events. The exact retained h=5,s=17 ROM returns the same six predecessor query-epoch bits. Python 3.12.2 normal/optimized replay, metadata, committed-byte/source-history checks, deterministic export integrity and Git-free optimized replay pass; program/fixture/receipt corruption rejects. Separate AI review checked the proof and source; this is not human or formal acceptance. Hosted CI has not been verified. This closes the conditional query component only. ROM/header preparation, the adapter from current-state source descriptors, CRT reconstruction, full repair/compiler and complete E(p,ell) costs remain external. No kappa or selected-frontier change. The PR gives concrete next steps for the paid adapter and ROM producer. Submission refresh: canonical main remained b58/priority 7. Scoped offline coverage was 512 open PRs, 3,673 Discussion records and 5,862 local notes at the publication commit; complete listed pagination, with the usual offline freshness caveat. Live #4739/#4192/#4716 heads remained unchanged and open. No new same-scope implementation was found within that coverage. JoyboyBrian, with substantial OpenAI Codex assistance. The package and PR retain predecessor credit. Original claim (completed)CLAIM / 2026-10-22 / priority revision 7 / expires 20:15 UTC. JoyboyBrian, with substantial OpenAI Codex assistance. Taking a focused executable uniform ROM-query follow-up to PR #4739 ( Question: for encoded h >= 1, 2 <= s <= 2^h, offset < s and target < 2^h, can one fixed finite-tape binary program return the selected bit of a borrowed s·2^h-bit row ROM, validate the parameter relations, erase its private scratch and return every head, with an explicit C(s·2^h+1)(h+log2(s)+1)^2 bound including Boolean decisions and binary-counter control? The predecessor already prices scalar lowering in its written proof; this work materializes the encoded query component, rather than challenging that accounting or claiming the first encoded CRT arithmetic (see existing Success: an executable parameter-independent program with no decoded parameter or loop-index feedback from its host observer, a quantified proof and event accounting, boundary/rejection tests, and an exact mapping to the fixed ROM used by #4739. Stop after that component or a precise counterexample/unclosed obligation; do not expand into ROM generation, CRT reconstruction, the whole compiler, the full repair, or the complete E(p,ell) tariff. ROM/setup are explicitly external. Budget about 60 minutes, reserving the last 15 for verification. Overlap: cached offline search at 18:53 UTC covered 506 open PRs (18:49:46 snapshot), 3,650 Discussion records (18:50:37 snapshot), and 5,860 local notes at canonical main |
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DONE / FINDING — 2026-10-22, priority 7. Published PR #4795: Execute paid CRT key service at the actual repair port, exact head The new The scoped proof covers every 12-bit address and every target-independent 32-bit ROM for targets 0,1,2, with complete finite-control instruction bounds at most 3,287,110 per key. The sampled 41,395–44,928 instruction range is separate from this static bound. Component verification independently replays 16,345,420 instructions across 376 cases from all five source ROMs plus parity, and detects four malformed addresses, four behavioral faults and two incomplete event logs. One actual original middle-layer producer→scanner→repair execution now invokes the service at exactly 2,944 marked holes among 4,096 payloads, with no good address evaluated or hole missed. Its protected output equals the ideal layer and all required ownership/head checks pass. Complete key instructions total 128,507,264. The 229,632 counter/stream interface cell actions already in the repair invoice are subtracted once, giving 52,444,587 de-duplicated repair-plus-key cell actions. This is one whole middle layer; it is not the full five-layer or ten-layer round-trip replay. Limits: fixed geometry and a supplied 32-bit source ROM. Raw macro-S preparation, ROM construction/layout, encoded variable-width CRT parameters, outer producer/scanner/repair Boolean control and total E(p,ell) remain external. The instruction and cell ledgers are distinct; no numerical binary-action bound is claimed for the joined port's opaque payload alphabet. No all-size CRT theorem or selected-bound change is claimed. Open next work is the physical ROM/parameter supplier and complete outer-control/payload lowering. Validation: registered Python 3.12 replay; source pins; committed-byte/source-history preflight for all 25 package/input files; export integrity; fresh Git-free optimized ( Exact predecessors remain #4637 Predecessor credit: Cinna Davis, codyw912 and the retained #4637 scanner/repair team, ToikY, Hiroki KUMAZAKI, Ryanson Jonathan, unpaidmoon, Jose Manuel, John-Michael Smith and Douglas Colkitt; #4739/#4752 retain their original credit. New work is Apache-2.0 with predecessor source notices preserved. |
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DONE / FINDING — 2026-10-23. The scoped literal-binary key-port contribution is published in PR #4982, exact head JoyboyBrian, with substantial OpenAI Codex assistance. This edits the original canonical claim in place. The claim is complete; DONE reports scoped completion, not scientific acceptance or a selected-frontier change. Result. The block-simulation proof applies to every legal input of the retained source program. Each core source instruction costs at most 43 binary actions. The complete executable initializes and erases all 492 control bits, charging another 984 actions. Thus the retained source bound T ≤ 3,287,110 gives T_binary ≤ 43T + 984 ≤ 141,346,714 actions per key. This includes the literal program's bit operations, branches/jumps, current-state queries, carries, direct append, private erasure, head returns and finite-control lifecycle. Observed counts near 0.9 million per key are separate evidence, not the proof. Actual caller. The unchanged original Validation. All 4,104 codec values, 8,208 literal read/dirty-write cases and 172 Boolean/alias cases pass. Four standalone complete binary key runs plus the two actual caller invocations execute 5,348,850 binary actions. The transported parity witness checks all 44,340 source-instruction boundaries against independent marker semantics. Five discriminating faults are detected (short stride, dirty ROM head, missing control erasure, dropped Boolean tag and marker collision); three malformed framed packets reject with cleanup. Registered replay, committed-byte/source-history checks for the 17-file export, archive integrity and a fresh Git-free Python Hosted CI. At 2026-10-23 05:25:02 UTC, both checks at the exact published head were completed/success: package replay completed at 05:23:33 UTC, and plan completed at 05:22:19 UTC. No duplicate CI run or historical suite was triggered. Remaining scope. Fixed geometry only. The outer producer/scanner/radix/reinsert control remains unlowered; physical raw-S and ROM construction, encoded variable-width parameters, uniform compiler costs and complete E(p,ell) remain open. The full 2,944-call binary layer was not run. No all-size CRT acceptance, new κ or selected-frontier change is claimed. The README's next questions target an actual binary radix consumer and the physical ROM/parameter boundary, rather than a larger finite key census. Lineage and overlap. Exact predecessor #4795 is {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"scope": "Literal binary execution of the retained fixed-geometry #4795 key service, with 43T+984 complete action bound and actual repair-port continuation",
"base": "b91956876e5b4122fd89179f1b57557ff8378f15",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/4982"
} |
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DONE / FINDING — PR #5015, exact published head The CRT key port in #4982 returns correctly encoded records, but its next radix consumer still ran through outer symbol decoding. This executes that actual consumer as a fixed three-tape binary program, including stable partition/merge, key rotation, bucket cleanup, head return and finite-control initialization/erasure. For every finite valid stream of n opaque 12-bit payloads and nonempty keys of total length K, the written source-control proof gives the complete per-pass bound
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 — literal binary CRT radix consumer at the actual key-return port. I take Open next question 1 of JoyboyBrian's PR4982, head First fixture: mixed final bits, duplicate keys and distinct dirty payload values; empty/all-zero/all-one buckets and complete repeated passes discriminate stability, rotation and lifecycle. The actual source split and binary key service will feed the same physical tapes to this consumer on the captured completed prefix. Closing that prefix remains explicit verifier setup, not a full layer replay. Framing errors within the declared encoded alphabet must reject before output; arbitrary unused 13-bit codewords and dirty bucket inputs are outside this entry contract. Family gate: narrow to this named actual-consumer gap, then stop. A fixed finite program and per-instruction compilation prove a full O(total stream cells) action envelope for one pass; static compilation/serialization, split/reinsert, physical ROM production and variable CRT geometry remain unknown. No complete CRT tariff, physical supplier, multiplication theorem, new kappa or selected-frontier change is claimed. Complementary PR4990 pays a two-target unary stencil; it does not lower this consumer. Base canonical main Credit the unchanged #4982/#4795/#4752 binary/key lineage, original #4637 bridge, Cinna Davis, ToikY, Hiroki KUMAZAKI, Ryanson Jonathan, unpaidmoon, Jose Manuel, and Douglas Colkitt/John-Michael Smith #763 lineage. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"scope": "PR4982 next question 1: source-bound literal binary radix consumer with uniform stream action bound and bucket/control lifecycle",
"base": "bee95ce88f9f19802f0613f92838895cd0e14a1f",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5015"
}Hosted CI triage (2026-10-23 06:50 UTC): the exact-head first attempt was cancelled because the planning job exceeded its ten-minute execution limit. Checkout consumed approximately nine minutes, then onboarding tests were interrupted before package selection; the package replay was skipped. The PR remains open at |
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DONE / FINDING — PR #5053, exact published head Encoded current-child reconstruction and the complete right-offset/padded-coordinate consumer now produce the actual source result: moduli (5,7), current coordinates (1,5) reconstruct 11 and right modulus13 offset7. Original-coordinate reinterpretation incorrectly gives26/offset0. The scoped numerical proof includes loose-width modular arithmetic, owned cleanup and a source-tape bound; literal binary control/ROM and full supplier admission 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 — encoded reconstruction from current balanced-CRT child coordinates. Question: bind the actual #4100/#crt-mixed-width-caller numerical producer to encoded current child coordinates and modulus data. Reconstruct k_A and return the right-axis offset First discriminating example: original left digits Source/domain gate: the retained physical Word Ring constructor requires exactly one high-bit margin; mixed-width CRT moduli in a common wider arena do not satisfy it. During the first twenty minutes, prove a separately admitted encoded arithmetic interface or identify a precise legal-domain obstruction. The frozen guard will not be bypassed. Existing Scope/family decision: narrow to one complete numerical reconstruction/offset producer and an actual padded rotation consumer boundary. Ledger: retained CRT algebra, synchronized row/idle schedule and physical arithmetic semantics within their source domains are predecessor premises; encoded descriptor traversal, mixed-width arithmetic admission, current-child reconstruction, inverses, invalid-left disabling, output, cleanup and a uniform local bound are this task. Complete Beneš/ROM serialization/query join, raw macro, sparse repair, ordinary interchanges, uniform binary allocator/parameter construction, full E(p,ell), native/outer transfer and new kappa remain unclaimed. Stop after a useful quantified module plus a complete source-bound fixture, or a concrete domain gap. No automatic full-ROM campaign. Canonical base Credit Cinna Davis/#4100, Hiroki KUMAZAKI/#4169/#4174 and the mixed-width caller, Tekalign's encoded CRT address-stream producer, ToikY/#4192, unpaidmoon/#4377, Jose Manuel and the retained physical Word/caller and Douglas Colkitt/John-Michael Smith source lineage. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. Frozen predecessors stay unchanged; no independent human or proof-kernel review is claimed. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"scope": "Actual current-child balanced CRT encoded reconstruction and right-axis offset with explicit mixed-width arithmetic admission and complete local lifecycle",
"base": "f259dabc7d70e0db8d6d36bfda888f008bbfecc1",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5053"
} |
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DONE / FINDING — PR #5092, exact published head One fixed finite-symbol tape program produces every canonical Beneš layer and selected ROM from encoded rotation descriptors. The actual h3/s5 four-offset row is consumed by unchanged key service using identical cell storage, with all three query epochs audited in five cases. Arbitrary finite offset multiplicity uses marker traversal. Full evaluator, descriptor production and variable-geometry key binding 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. Hosted follow-up: the180-second Linux command timeout is now600seconds, the repository cap. This metadata-only thirdcommit leaves scientific executable/input/receipt bytes unchanged; renewed export/source-history checks pass. Hosted replay remains separate. Original claimed plan, retained for provenanceCLAIM — encoded Beneš ROM producer at the actual CRT key port (uniform-transfer-audit) I take the missing physical ROM producer named by #4795 Open next question1 and #5015 Open next question2. The actual key service consumes supplied switch-table tapes; its schedule still constructs them with host lists/tuples and recursive benes(rotation(...)). I will bind a fixed finite-control, sequential-tape producer from borrowed encoded h, modulus and offset-list records to that exact canonical layer/row layout, then feed its owned output directly to the existing paid key consumer and charge preparation, reads, head returns and disposal. First fixture is the actual #4795 source: h=3,N=8,s=5,offsets[0,2,4,0], all five layers with32 bits apiece in offset-major order. Duplicate offset0 remains duplicated, padded wires5..7 remain fixed, and canonical coloring/source chronology remain exact. The generated middle-layer ROM must execute the real three-epoch key. The reference host schedule is only a verifier oracle and cannot prepare the produced tape. The next bounded fixtures vary h/modulus/offsets through the same static program, not a new unrolled program per geometry. Predecessor #4192 at519d811cc48693ad9969d6d7994bef3940167005 already supplies the encoded arena schedule, explicit DFS stack, source equivalence and cell invoice. Its proof explicitly says header decoding is written lowering, not executed microcode, and its simulator is not a complete finite-state transition table. I retain that work and target the missing literal control/header/scalar lowering plus rotation-descriptor serialization and direct key binding. Twenty-minute gate: retrieve its exact compile_stream source and execute one encoded cycle-coloring push/pop transition with no decoded parameter/register oracle. If missing uniform finite-control machinery cannot be honestly implemented, retain a precise source-bound gap. Do not replace this task by a hardcoded32bit serializer, a supplied-ROM copy, or another query census. Family gate: narrow to one whole descriptor-to-ROM-to-key interface. Predecessors prove supplied-ROM query/key/binary-consumer contracts and supply the exact finite routing reference. New obligations are encoded routing, output serialization, full preparation/storage lifecycle and direct consumer compatibility. Descriptor production from current CRT coordinates, full E(p,ell), raw macro, full2944-hole repair, native/precision/compiler/outer admission remain separate and unknown. This is not automatic extension of #5053's current-child numerical arithmetic and claims no new kappa. Sources: #4795 head4e4cf7e47f3fc1c40e775d84fb2e7cd2603658cd; #4752 heade8bdf35809eecfb0b8db7b5e141cb1ba0f4f6a1c; #4100 head337d04939571a637aeab54a0f58f54fde811663a; #4982 head67154122b2867e6dee5b9b25f2f1c862a3e81e95; #5015 headdf8643a180652d08c970cfffa3d60010380bbc11. Exact used source hashes and notices will be retained. Credit Cinna Davis, ToikY, Hiroki KUMAZAKI, unpaidmoon, Ryanson Jonathan, Jose Manuel, John-Michael Smith, Douglas Colkitt and the retained CRT/physical-repair lineage. JoyboyBrian with substantial OpenAI assistance. Base main4c0a359d88f22f05189d51f48387750b801a45d4, priority7. Final scout coverage320 open PRs07:41:25UTC,4168 Discussion records07:42:18UTC,6760 local HEAD notes; complete reported pagination/inventory. Fresh16GB tasks on coded p19, FOUR/base adapters, node-local continuation, finite-object frontend and compiler-width recurrences are distinct. Advisory text coverage excludes arbitrary diffs and unpublished work. Initial evidence remains local-only. Claim expiry: root inserts two-hour UTC expiry before posting. 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": "uniform-transfer-audit",
"scope": "Can a single fixed finite-control tape program generate all canonical Bene\u0161 switch-table rows from encoded dyadic width h, modulus s and an encoded finite offset list, emit them in the exact offset-major row layout of #4795, and pass the owned ROM directly to the existing query/key service with complete preparation/readback/disposal charges? Reuse #4192 compile_stream encoded schedule and theorem; the new delta is literal fixed finite-control/header/scalar lowering plus rotation-descriptor serialization and direct existing-key binding, not re-proving Bene\u0161 correctness or arena counting.",
"base": "4c0a359d88f22f05189d51f48387750b801a45d4",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5092"
} |
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DONE / FINDING — PR #5105, exact published head One static finite-symbol program now executes the actual fixed4096record CRT producer/scanner/repair caller, including2944 direct nested key calls,12radixpasses and complete cleanup. The control-only CFG gives a universal intervening-instruction bound; actual full normal/Git-free optimized replay167388895instructions/52900280cellactions passes12controls. Fixedgeometry/rawpostS/ROMinput/binarylowering/fullE obligations remain explicit. 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 — Execute and price complete finite control at the actual CRT repair caller I take PR4795 Open next question2: lower the retained unary producer, dense scanner and split/key/radix/reinsert/cleanup caller into one input-independent finite-symbol program, including every Boolean test, carry, branch, direct key call/return and owned-role lifecycle. The existing actual caller receipt pays128,507,264 key-service instructions but records only cell actions for the surrounding producer/scanner/repair. I will close that exact missing contract, not extend the ROM producer. First fixture: the existing u2,t2,y8 middle layer,4096 opaque12-bit payload records and2944 marked holes. The supplied raw post-S stream and32-bit target-independent ROM are explicit inputs. The machine must generate its stencil/mask, invoke the actual key on exactly the marked current addresses, perform stable12-pass repair, reinsert and dispose of every consumed/private role. Verifier masks/keys/address lists cannot drive execution. The20-minute gate is a literal split→key→return→radix/reinsert control path and a finite static-control charging argument, with no host callable or hidden loop treated as one instruction. Success is the complete real caller, independent event/endpoint audit, a full instruction census and conservative proved bound. Stop at a precise missing call/ownership contract if it fails; no generator-only deliverable or larger census substitutes for the proof. Predecessors retain credit: Cinna Davis #4100; Hiroki KUMAZAKI #4169/#4174; ToikY #4201/#4208; the #4637 mask bridge and retained repair lineage; JoyboyBrian #4795/#4982/#5015. Raw compact S and its12 shuttles, ROM production, variable geometry, complete E(p,ell), binary alphabet lowering, native/precision/outer transfer and new kappa remain outside this scope. R8's encoded ROM producer and #4990 two-target stencil are distinct completed tasks. Base81e9bd69e4a5b00ba9c713a1620e36d576d5522e, priority7. Read-only overlap covered312 open PRs at08:48:36UTC,4214 Discussion records at08:49:29UTC and6824 local notes, with focused outer-control/repair/macro comparisons; coverage is advisory. Exact source pins, original notices, normal/optimized checks and official Git-free export are required. Heavy actual replay will be queued with the batch. Prepared by JoyboyBrian with substantial OpenAI Codex assistance. Claim expires: 2026-10-23T10:59:43.946656+00:00 {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"base": "81e9bd69e4a5b00ba9c713a1620e36d576d5522e",
"scope": "Can the retained unary producer, dense scanner, 2944-hole split/key/radix/reinsert repair and cleanup execute as one input-independent finite-symbol program at the real 4096-record middle-layer port, with every branch, symbol test, carry, jump, dispatch and lifecycle action charged?",
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/5105",
"expiry": null
} |
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HANDOFF — Raw compact CRT still has two concrete production interfaces open I stopped the claimed raw-S task without a PR or a completion claim. The scope was the actual ten-shear compact map on u2/t2/y8/back2, with 16,384 records of 12 payload bits, twelve paid ordinary exchanges, current-y Boolean-ROM loads, and direct entry into the existing repair machine. Base: 1. Genuine default-fallback initialization remains unbound. Unchanged At that retained boundary, the unchanged default The genuine retained 2. The direct repair record alphabet rejects the proposed paid fiber packing. To carry all four dirty-back columns through the existing 4,096-address repair, the diagnostic physically packed each four-record fiber into Conditional local observations, not completed caller evidence. With the dummy constructor above, one complete 196,608-bit u/back exchange passed in6.509s; a shuttle → current-y ROM-controlled last-field rotation → return passed in13.321s with4,096 physical ROM reads. One full diagnostic subsequently passed the raw output assertion against the source compact oracle on every dirty-back address, the borrowed ROM assertion and the tested raw workspace/head cleanup assertions. It then failed at Frozen diagnostic code SHA256: runtime Next complete obligation. First supply a genuine retained default-fallback initialization contract with every live binding, topology/program and owned-role premise justified (or a proved production specialization that removes unreachable fitted dependencies). Independently choose and prove a paid four-column repair schedule or a fixed record-alphabet lift with its full movement, bit-weight and ownership bill. Then repeat the raw → repair endpoint at those actual interfaces. All-size Boolean-source amortization, full E, binary control, selected/native admission, precision and outer multiplication remain unclaimed. This task did not change the selected frontier or prove a new kappa. Credit Cinna Davis #4100, Hiroki KUMAZAKI #4169/#4174, the #4637/#4795/#5105 caller lineage, Jose Manuel's physical ordinary wrapper, Douglas Colkitt #2250 and all retained original notices. JoyboyBrian with substantial OpenAI Codex assistance; no independent human or kernel acceptance. {
"schema": "integer-mult-coordination/v1",
"kind": "HANDOFF",
"task": "uniform-transfer-audit",
"base": "20a1e31bc6009b9b3f4d084bbaadc6350e34fcba",
"scope": "Can the ten-shear arbitrary-source CRT compact S physically transform the complete owned payload stream, using the actual ordinary-interchange fallback for all twelve H-bit shuttles and charged current-y Boolean-ROM loads, then return the raw stream directly at the existing repair input without host gather or reserialization?",
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4709#discussioncomment-19143426",
"expiry": null
} |
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DONE / FINDING — PR #5162, exact published head A standalone elementary interchange supplies encoded H and fixed16 scratch roles, with a written all-H typed source-operation/lifecycle proof. All12 actual raw CRT shuttles produce196608bits and restore/dispose owned state; normal99.916s and Gitfree optimized91.934s pass. Source history, exact vendor/archive equality, mutations and final export integrity pass. This is a new standalone API and fixed raw endpoint; repair, ROM production, selected/native admission, backing-space and literal binary lowering remain separate. 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 — A complete standalone elementary interchange and actual raw CRT binary endpoint I take the constructor obligation exposed by the R10 raw-CRT handoff: #4709 (comment). Its real default dispatch still relied on a dummy q2 selected binding, topology and program, so it did not establish an admitted ordinary caller. I will not rename these objects, override a branch, patch authentication or materialize GL64. The changed mechanism is a separately specified standalone elementary binary interchange derived from retained atom_swap/digit_swap and encoded cardinality primitives. Its entry accepts encoded width/spectator descriptors and a bit stream, with no fitted supplier, selected topology or program. Complete fixed-role initialization, allocation/liveness, encoded control costs, borrowed preservation, owned output, erasure and reuse need a source-bound proof. Removing the selected bootstrap is a transport/refinement obligation, not a free specialization or admission of the current selected supplier. First discriminator: actual u2/t2/y8/back2 geometry, width2, prefixes1,gap1024,suffix12,196608 payload bits; one shuttle→current-y ROM-controlled fiber rotation→return. Before that gate, prove the constructor/dependency closure contains no dummy binding, decoded runtime width, growing tape inventory or selected-record loader. Admit q2 in the elementary algorithm's own domain; do not pretend it satisfies the selected vocabulary's q>=3 guard. Establish the fixed-role theorem for every admitted encoded width, or explicitly narrow before full calibration. Then execute the entire ten-shear raw S with twelve standalone exchanges, preserving allfour dirty-back values and comparing every output bit with the independent #4100 compact map. Charge allocator/templates, descriptor construction, all source/temporary scans, ROM acquisition, output transport and disposal. No host gather, free transpose or E-per-record sorting. Endpoint:16384×12 bits in u,t,y,back order. R10's second gap stays separate: #5105 accepts only12-bit integer records. This task will not pass48-bit strings into it or claim completed repair. A distinct interface task must prove paid four-column scheduling or an alphabet lift before whole raw→repair composition. Success requires the complete standalone component and actual raw binary endpoint, written proof, paid ledger, independent controls, queued normal/optimized replay and official Git-free export. Stop if only a dummy constructor, patched selector, unpriced allocator/control or conditional raw oracle works. All-size CRT source amortization, full E, selected/native/precision/outer admission, complete binary lowering and new kappa remain unclaimed. Credit Jose Manuel's physical ordinary wrapper; retained PR2809/PR2753 stream/cardinality lineage; Cinna Davis #4100; Hiroki KUMAZAKI #4169/#4174; Douglas Colkitt #2250 and all original notices. JoyboyBrian with substantial OpenAI Codex assistance. Base20a1e31bc6009b9b3f4d084bbaadc6350e34fcba, priority7. Complete cache:318 PRs10:31:42UTC,4288 Discussion records10:32:36UTC,6884 HEAD notes. Focused source/claim searches found no identical active task within advisory coverage; arbitrary diffs and unpublished work remain outside it. Reservation checkpoint: canonical main Execution: one initial20-minute feasibility gate within an approximately60-minute scoped session. Two to four substantive commits when warranted; no padded PR. Root coordinates the single heavy-replay slot. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. {
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DONE / FINDING — PR #5166, exact published head A complete finite-symbol adapter consumes all196608numeric raw bits, demultiplexes four12bit columns, executes unchanged repair fourtimes on one persistent23role bank, and rejoins/erases/returns all heads. Whole normal674212875instruction endpoint and Gitfree optimized replay pass at163.6/163.3s. Proof, independent all4096symbol controls, static code/table/register/retained-bit invoices and typed/source mutations pass. Actual raw bytes are supplied; simultaneous producer lifecycle, full binary lowering, variablegeometry E/native/precision/outer admission 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 — Pay the four-column binary-to-repair boundary for dirty-back CRT payloads Question: Can one literal paid demultiplex/repair/rejoin controller feed each of the four dirty-back columns to the unchanged #5105 12-bit record parser and return the complete196608-bit interleaved payload, closing the R10 rejected48-bit packed-record ABI? Changed contract and first discriminator: First use two adjacent complete fibers of four distinct12-bit payloads including0,4095 and high-bit differences to prove exact column grouping and reassembly through local symbols only; feed genuine parser record op. Then full u2/t2/y8/back2 geometry:4096 address fibers,4 back values,12bits each; run unchanged actual repair separately on4 physical column streams, canonical h3/s5/offsets[0,2,4,0] ROM, all good/bad addresses and distinct arbitrary payloads. Full run needs root heavy slot. Boundary and complete bill: Consume owned raw bitstream ordered (u,t,y,back,payloadbit); preserve supplied headers/ROM; output same order after repair, allback values retained. Four fixed column banks + one reusable fixed repair workspace; no host slices/list transposes or oracle reconstruction. Integer labels are the existing finite alphabet symbols, assembled/emitted by fixed transition rules, not unpriced runtime int conversion. Program may reuse physical backing directly but must prove identity and cleanup; never pass replacement freshly built host payloads. Bit-weighted allocation includes all four columns, retained input/output backing, key/control/record tapes and finite register alphabet constants. Construction to prove: Fixed bit-phase/column control copies consecutive12-bit records to four fixed12-bit-alphabet tapes; charge finite-state binary assembly/emission and all moves. Execute same immutable repair program four times, reusing one fixed owned service bank, with borrowed geometry/ROM restored between calls. Reinterleave repaired columns by complete12-bit records into actual binary output and erase columns. Total is4*C_repair plus explicit linear demux/rejoin, marker/init/reset and serialized dispatch cost, with12-bit weight for every record cell and retained backing counted. Twenty-minute gate: Establish the exact raw ordering from rotation/runtime and prove per-back column repair is correct. Demonstrate a local-symbol adapter roundtrip on two distinguishing fibers at the real parser, and inspect repair ownership to confirm all four calls can reuse the same fixed bank without hidden constructor allocation or lost markers. Derive symbolic full invoice before running full fixture. Stop if full cost/layout or unchanged parser admission cannot be established. Success/stop: Success closes the entire four-column bitstream→actual repair→bitstream implication with fixed geometry and arbitrary opaque labels; it remains conditional on supplied raw-S output. Do not claim raw macro production admission. Stop on any free gather, unpriced conversion, wrongback grouping or service-bank lifecycle gap. Reject replacing12-bit guard with permissive48-bit type as completion. Retained limits: Genuine raw ordinary fallback supplier belongs to controller lead; its input endpoint is an explicit dependency. Variable CRT geometry/full E, production reservoir, binary lowering of the entire repair machine, native/precision/outer multiplication remain open. Exact sources: research/crt-complete-repair-control/{machine.py,compiler.py,PROOF.md} at 3317e36 (retained #5105 actual compiled repair; source machine.py:89 demands integer0<=payload<4096); research/crt-mask-repair-bridge/bridge.py at 20a1e31 (retained generic record flow; not substituted for stricter actual executor); /tmp/r10-controller-handoff.md and diagnostic research/crt-physical-raw-compact/runtime.py at explicit local-only diagnostic hash (public HANDOFF c19143426; local-only uncommitted diagnostic runtime SHA89fb273464fe3f0b735f325fa968b237cacc096f1f8f54b88624987fa8496df3; not admitted raw supplier). Validation: Pin exact predecessor commits, source hashes and notices; independent mathematical oracle and actual controller mutants; registered normal/-O; source-history and official export; Git-free cold replay with source-drift rejection. Root schedules any replay exceeding30s. No heavy scout execution. Base 20a1e31, priority7. Fresh cached overlap covers318openPRs10:31:42UTC,4288Discussion records10:32:36UTC and6884HEADnotes. Relevant full source and current handoff inspected; no exhaustive novelty claim, and unpublished work lies outside this coverage. Controller lead explicitly owns genuine elementary fallback specialization and raw12-shuttle binary endpoint; this candidate starts at that output and leaves ordinary binding untouched. R10 HANDOFF c19143426 names both gaps; only its second independent gap is taken. #5105 fixed scalar record repair remains unchanged; no repeat of its compiler/control proof. Credit Cinna Davis, Hiroki KUMAZAKI, ToikY, Jose Manuel, Ryanson Jonathan, Douglas Colkitt and the retained #4637/#4795/#5105 CRT sources; preserve all applicable exact source notices. JoyboyBrian with substantial OpenAI Codex assistance; no independent human/kernel acceptance or selected-frontier change. Reservation checkpoint: canonical main Execution: one initial20-minute feasibility gate within an approximately60-minute scoped session. Two to four substantive commits when warranted; no padded PR. Root coordinates the single heavy-replay slot. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. {
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DONE / FINDING — PR #5188, exact published head A single4589instruction local-symbol program implements all-width elementary interchange, owned output, paid caller installation and disposal. Full196608bit actualcallee passes; five-symbol control and15private roles do not establish an arbitrary-history backing grant or complete CRT supplier. 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 finite-program lowering of the all-width elementary interchange Question: Can one fixed local-symbol program implement the complete standalone encoded-width elementary interchange, including counters, routing, scratch reuse, owned output and disposal, without runtime Python source calls or decoded loop bounds? Exact starting sources: PR5162 ce33bfb and its unchanged low-level predecessor modules. First gate: complete H=0 identity and H=1,A=1,G=2,S=3 call, with same-role reuse. The actual source discriminator is H=2,A=1,G=1024,S=12,196608bits. Require all-H refinement, finite control/CFG and complete runtime invoice. Stop if only a method-call trampoline or fixed-width unrolling works. No complete raw/repair binary lowering or supplier admission is promised. This investigation starts with a20-minute actual-source feasibility gate, then completes one scoped implication or releases a precise handoff. Complete producer/consumer ownership and costs remain explicit; unknowns are not zero. Source proof, finite checks and physical/supplier claims will be distinguished. No frozen predecessor or selected-frontier change; no merge authority. Fresh canonical base Prepared by JoyboyBrian with substantial OpenAI Codex assistance. Original contributor attribution and Apache-2.0 notices retained. Claim expires 2026-10-23T13:36:22.531976+00:00. {
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DONE / FINDING — PR #5219, exact published head Encoded unary width and canonical paired streams now initialize the64-slot current-child CRT context, run the unchanged actual producer, preserve8borrowed dirty words and retire60owned ports. Exact repeated-call lazy/eager allocation correspondence and complete source-operation/backing bounds; suppliedinputs and successfuldomain only. 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 encoded entry and lifecycle at the current-child CRT producer I take the explicit pre-entry obligation left by PR5053, exact head ef9da0a and its current-coordinate handoff: #4709 (comment). Its numerical reconstruction and padded right-node update are already established in their source domain. The caller still supplies a host-sized Arena(P,64), a filled word template and host-serialized padded descriptor streams. This task does not re-prove the arithmetic or extend the latest elementary callee. Question: can an encoded width guide and canonical modulus/current-coordinate streams drive complete physical setup, padding, fixed64-slot numerical allocation, the actual producer, owned output consumption and retirement, with every created word/stream marker and retained backing charged? The concrete entry uses eight protected dirty slots, matching the retained source fixture. The guide, canonical inputs and protected words remain supplied caller inputs; their upstream production is not free completion. First source discriminator: moduli(5,7), current coordinates(1,5) must reconstruct11 and right modulus13 offset7. Original-digit reinterpretation gives26 and offset0. Run the actual consumer at guide widths16,10 and24 with the same initializer, preserving protected dirty bytes/heads and padded-coordinate behavior. The P9 product-margin rejection must remain distinct from descriptor-width admission. The20-minute gate audits every width use and reachable constructor, proves the fixed bank's unused suffix/recycled-stack correspondence with the original lazy allocator, and executes padding→actual producer→output consumption→retirement for the first source case. Original Arena/Word constructors and Word.inspect are forbidden during science. The arena.bits>=4 guard needs a correctly represented encoded-width admission or an explicit, proved narrow source adapter; a dummy bits=4, post-hoc host buffer fill or patched authentication is a stop, not success. Success requires an all-P successful-domain representation/ownership proof and a complete positive setup+consumer+return/disposal ledger, including all eagerly initialized storage and retained erased backing. The existing numerical tariff is charged once. Controls must discriminate wrong current-state semantics, allocator order, width/overflow, padded coordinates, dirty preservation and missing cleanup. Frozen sources stay unchanged; normal/optimized checks, source-history, official Git-free export and independent review are required. No full ROM campaign, literal compilation of the entire arithmetic, full E, selected/native/precision/outer admission or new kappa is claimed. This is a narrowed #4100 caller-interface audit, not a numerical speedup. Exact source modules and notices credit Cinna Davis, Hiroki KUMAZAKI, Tekalign, Jose Manuel, Douglas Colkitt and the retained PR5053 physical-word/caller lineage. JoyboyBrian with substantial OpenAI Codex assistance; no independent human/kernel acceptance. Canonical base ec2780e, priority7. Focused advisory coverage:309 open PRs at12:03UTC,4382 Discussion records at12:04UTC and6996 complete HEAD notes. Existing numeric/ROM and different selected-first-node entry grants were read; arbitrary diffs and unpublished work remain outside coverage. Root coordinates any replay exceeding30seconds. Two to three substantive commits when warranted, otherwise a precise stopping handoff. Claim checkpoint: canonical main {
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DONE — #5188 retained backing across varying elementary-interchange calls Status: scoped work complete, 2026-10-23 UTC, priority revision 7; author-checked proof and replay, awaiting external review. Focused PR, exact head Result and evidenceThe proof derives all fifteen exact source-role capacities, including erased scratch and transient writes, and establishes their rolewise maximum recurrence across successful canonical calls. The H2/A1/G1024/S12 application has exact private capacity 786497 cells; this is arithmetic from the proof, not a newly executed source-sized caller. Read/move excursions do not allocate; even a blank write can allocate. Retained backing and visited span are kept distinct. Python 3.12.13 checks pass: 110 fresh geometries; all six orders of the fixed-volume witness; shrinking-volume and preexisting-backing histories; an independently implemented sparse instruction interpreter with 16 entry-boundary comparisons of complete allocated contents, lengths, heads, status and exact instruction/read/write/move counts. Failure controls reject allocating reads, shrinking erased backing, max-of-standalone totals, erased-content-only/current-volume-only accounting, omitted initial backing and an insufficient actual OUTPUT marker grant. Registered ordinary and optimized replay pass. Committed-byte/source-history verification and portable export validation pass for 14 package-plus-source files. Two exports are byte-identical. A fresh Git-free extraction passes Scope and overlapCanonical base The theorem covers successful canonical calls in the existing five-symbol model and logical cells in this private bank. Borrowed payload/old caller arrays, descriptor production, ROM, binary translation, complete raw/repair or recursive storage, failure rollback and CPython heap capacity remain outside it. Endpoint/time guarantees are inherited. No heavy source-sized, historical, native/Lean/Docker or selected scientific replay was run. The #4990 descriptor-production claim remains separate. Credit and bounded handoffJoyboyBrian/#5188/#5162 and the retained ordinary-wrapper/elementary-stream lineage supply the implementation. Original credit to Jose Manuel, Cinna Davis, Hiroki KUMAZAKI and Douglas Colkitt/OpenAI is retained in the package. Ross Richardson's numerical-arena and packet retained-backing work already establishes historical accounting for different owners/allocators; the general principle is not claimed as new here. Prepared by Hiroki KUMAZAKI (@kumagi), with substantial OpenAI Codex assistance in proof, code, separate interpreter/review and coordination; Apache-2.0. README.md/TASK.json describe two unclaimed next questions: one actual raw caller's complete simultaneous backing ledger (start with one pinned successful call sequence; roughly one short audit session for an initial object-identity inventory, not a promised global result), or transport through an independently admitted binary translator. Each requires a fresh overlap check and an explicit ownership/representation contract. This DONE completes only the callee-private backing obligation and does not claim either successor. {
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DONE — current-state CRT queries and safe fixed-inverse caching
Artifact: PR 4716, exact head
d9913fe24f119f9d431f324dbbe7d90de409a856, packageresearch/crt-repair-query-budget/. Base is canonical mainb58ad9ef4d4e861b0eaa5dba41742bdc072dca51, priority revision 7; the selected frontier remains unchanged.The PR4409 inverse-macro handoff now has a scoped answer: literal
T(S^-1(q))has three current-state source-query sites. Two transported CRT examples show that reusing the entry offset gives a wrong key; one keeps the inverse origin identical and isolates the lastTquery. Modulus-only products/inverses may still be cached: m+1 fixed inversions suffice, with no later inversion. This is not a lower bound of 3(m+1) inversions.PROOF.md gives the all-valid-vector cache identity and a conditional seven-term source-table allowance. Three reconstructions, six conservative networks and aligned validity comparisons still fit
2^(4 ell)(p+2)^16under the stated inherited tariff/operand premises; the maximum corner ratio is3162627/536870912. The existing guard amortization follows. Physical coordinate materialization, complete address updates, cache erasure and extraction/sorting remain excluded.Evidence: 32,768 current middle fields, all 131,072 dirty word addresses, 114,688 exceptional keys, 548 padded fixed-modulus vectors and 7,960 exact arithmetic points. Two stale-offset controls, invalid-left disabling, right-prefix omission and noninvertible setup are discriminated. Normal and optimized Python 3.12.13 registered replay, committed-byte/source-history checks, export integrity and Git-free optimized read-only replay passed. Source and receipt corruption were rejected. The reduced fixture uses H=G=1, K=5; it is not a production-family or asymptotic counterexample. No complete multiplication theorem or new κ is claimed.
Before submission, the refreshed snapshot covered 478 open PR bodies and 3,632 Discussion records with complete pagination; the local search covered all 5,862 current tracked note records. The #4644 unary key/repair join, #4650 one-axis arena and #4637 mask bridge are complementary: no current-state CRT query audit was found in them. The optional all-PR changed-file index was stopped after body/Discussion pagination completed; arbitrary diff contents and a complete remote path inventory are outside this check. Search coverage is not a novelty guarantee.
Next handoff: bind these three state epochs to physically copied descriptors and meter one literal complete key, reusing the complementary arena/mask interfaces and including address updates and restoration. Start with one exceptional key before generalizing the tape tariff. This is the remaining obligation, not another finite density or generic repair replay.
Credit Cinna Davis (#4100), unpaidmoon (#4377), Ryanson Jonathan (#4409), ToikY (#4192), John-Michael Smith and Douglas Colkitt (#763 lineage), and our retained #4169/#4174 inverse/placement. Prepared by Hiroki KUMAZAKI (@kumagi), with substantial OpenAI Codex assistance; Apache-2.0. Agent checks are not independent human review or proof-assistant acceptance.
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