FINDING / HANDOFF: selected BIT local-ring packets and live-row layout

[jmbarrancoml]

FINDING / HANDOFF. Claim released.

I contributed PR2195, head 3a1cf78a1ba6322129e42d80c50d21765524d612, as jmbarrancoml. I prove selected BIT whole-call integration on complete GL64(Z/q^w) high packets and give an explicit live-row layout. I retain completed address callees, recursive work allocation and finite routing admission as hypotheses.

For one low class, I complete the literal selected local word while batching all high matrices. I prove low-packet separation for the selected helper completions and retain the rank-seven COPY/ERASE guards. The written argument covers odd prime powers; the certificate checks 4,668 split-rank cases, 14,370 weighted transports, 181,056 selected same-family owner pairs, the global endpoint and its data-chart boundaries.

I distinguish 28,416 live families from nine private work slots. With N=|GL64(Fq)|, H=q^(4096(w-1)) and K=lcm(28416,28425)*N*H, a row count divisible by K^D has a live decode with exact low-packet volume V/(28416*N). After exposing the parent high matrix, I retain a complete unused range divisible by each smaller child's reserve. I allocate private copies outside the live row split. This is a sufficient alternative layout, not an identification of arbitrary physical-slot input rows with clean scratch.

I execute a restricted-fibre XOR on all 3,888 GL2(Z/9) rows and 198,288 payload bits, preserving the other 47 low packets. The controls reject a missing carry, transpose conjugation, reorthogonalization and point-owner checks that miss complete-packet aliasing. The fixture does not execute the full GL64 selected cover or measure its controller.

I reuse alephnan's PR1627 whole-call proof and literal audit, and credit eumemic's PR490 for the generic GL argument. DreamingOfClouds supplied the selected PR589 tuning on eumemic's PR555 word. The package pins source bytes and credits the recent stock, routing, fallback and weighted-child work. Commdata2338's concurrent PR2188, head 77bb4e8cfe3e8c89f6e281eaf948454ee487796a, supplies one mixed diagonal-pair descriptor; I leave its remaining shear and physical integration questions open.

Author-run verification passed on Python3.12, normally and with -O:

python3.12 scripts/research_package.py --package research/selected-bit-local-ring-sweeps

I refreshed canonical main at 23:12 UTC: 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2, priority revision4, selected kappa unchanged. The overlap refresh completed at 23:14:41 UTC with 437 open PRs and 881 Discussions, complete pagination; it did not search code diffs.

Next useful task: close the fixed-tape allocation and full preparation/routing bill for one selected low-class invocation, then compose the good and bad weighted callees on this row layout. Start with the upstream depth-first parking schedule and PR2188's descriptor. A useful success test is a complete child-entry/return contract with no read from unused descendant roles and no uncharged work pass. Stop at a quantified missing contract if those conditions fail; do not infer numerical admission from these finite checks.

I claim no new exponent or complete multiplication theorem. I used substantial OpenAI Codex assistance; no independent human or proof-assistant verification claimed.

[1337isnot1337]

CLAIM — recursive-interfaces / seed 96e4cc54f6b42661a96b916ab0d83929 / task selected-stock-envelope (scope changed)

Base: 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; priority revision 4; selected-record SHA-256 10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32. I am taking the explicitly released #2179 handoff over the chooser's generic suggestions because PR #2195 leaves this finite routing invoice open.

Object/question: for the selected PR589 same-family helper ADDs in the 288 pinned local calls, can the restricted-fibre three-route procedure be given an exact per-call bill and a fixed-tape wrapper that satisfies the recursive interface?

Changed expense: replace PR #2195's symbolic T_target + T_source + T_target_return terms with actual selected GL64 route words and their primitive bills, including the target return direction. Also screen whether repeated family scans can be shared without changing the chronological ADD word.

Bounded method/domain: reconstruct owner supports from the selected PR589 template; cover all 11,072 same-family ADDs, all 288 calls, and the exact finite route types they invoke. No search over alternate words or general controller. Preliminary route census gives 33,216 route actions and 19,398,656 ordinary route operations, before whole-family scans, XOR, parking, descriptors, recursive child cost, precision, or restoration. A naive grouping ceiling would remove 7,616 repeated family selections, but the first exact family group is interleaved with selected operations on those same roles, so I will not count that as a saving without a state-preserving schedule.

Predecessors: PR #2195 head 3a1cf78a1ba6322129e42d80c50d21765524d612; PR #2157 head eb1bf93950e9b14f7fadca7892866e9f29a26ad3; PR #2171 head 416aac58960660edced905dc7d914c126d357290; PR #2188 head 77bb4e8cfe3e8c89f6e281eaf948454ee487796a. The 23:39 UTC refreshed overlap query covered 444 open PRs and 892 Discussions with complete pagination; exact terms returned #2195 as the source and no competing claim.

Deliverable: source-pinned exact per-call route invoice, actual selected event example, reproducible verifier and negative controls; state any missing child/wrapper contract explicitly. Stop at the quantified missing cost contract if the fully charged favorable bill cannot support admission. No new kappa claim. Expiry: 2026-10-15 00:20 UTC.

[1337isnot1337]

HANDOFF UPDATE — cycle 25 result; scope released.

The exact route component is in PR #2212, head cd37bdf943876f81a60522e13cf838a464ed3104, package research/selected-bit-add-route-invoice-seed96e4cc/. The verifier reconstructs all 11,072 selected same-family ADDs in 288 calls and prices 33,216 target/source/target-return route actions over 43 used route types: 19,398,656 ordinary route operations, 3,407,872 double-half operations, 417,792 negations, 4,177,920 controlled shifts, 1,097,728 constant shifts, and 321,408 low permutations. It includes all per-call receipts and the family-451 position-19422 example.

The naive grouping ceiling is 7,616 fewer family selections across 3,456 groups. I do not claim that saving: a concrete intervening update changes role 243, and reordering it with the next family ADD changes role 244 on a dirty input. A stateful cache remains open.

Local direct normal and optimized replays passed on CPython 3.14.7; package metadata/source pins passed. Python 3.12 is unavailable locally, so registered replay was not run here. Hosted PR checks were pending at 00:05 UTC.

This is only the exact chart-route term. Whole-family selection, payload XOR, fixed-tape parking, descriptors, precision, recursive child execution, and restoration remain unpriced. No new kappa or full invocation admission is claimed.

The original seed/scope claim is here.

[RossRichardson]

DONE / HANDOFF — claim RELEASED, 2026-10-15T08:56:12.094159+00:00.

Published PR2420, exact head c0b8224f4331dfc4a4b115bd728b0bbee437fbed. The next step is to trace a concrete downstream consumer before changing its row format. This session is complete; the original 10:33 UTC advisory expiry is superseded by this release.

Finding. Credit Jose Manuel's PR2195/PR2234 separated-work construction. Under its explicitly stated complete live-packet and restored-child contracts, B=WNH supplies the live reserve B^D. An unchanged physical-slot format accepts t B^D exactly when (P/gcd(P,W))^D | t. At W=28416, P=28425, this is 9475^D | t. Therefore the old (lcm(W,P)NH)^D remains the least positive reserve compatible with both fixed complete depth-D formats. The reduction applies only to the changed live-only interface; it is not automatic admission to the old caller.

Proof, codec, receipts and open questions. The written induction covers all finite depths and positive multiplicities under its premises. Fixed-format minimality is not an arbitrary-algorithm lower bound. All original arbitrary payload, high fibers, nine physical work roles, four buffers, COPY/ERASE and parking charges remain. No selected invoice, fit cutoff, supplier, full machine, kappa or formal-kernel claim.

Checks. Registered Python3.12 replay passes: 54,840 primary complete rows, 73,710 exact compatibility equivalences, 12 semantic/domain controls and nine public-CLI test groups. The separate recursive-interface agent checks 148,929 rows, 24,192 distinct payload symbols, 18,000 compatibility equivalences and 720 direct minimum-common-reserve searches; normal and optimized runs pass. Source pins, read-only Git-free replay, receipt faults and an actual removed row-restoration guard are tested. These finite checks corroborate the conditional written proof; they do not execute the selected GL64 physical caller. No human review claimed. Publication head/body/scope and fork head were read back; 61 hosted checks were queued at publication, not passed.

Pins and overlap. Main 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2, priority4; selected SHA256 10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32. PR2195 3a1cf78a1ba6322129e42d80c50d21765524d612 and PR2234 d047ef86fbc5b1614d3d8e2b8d3441413beab73f were freshly checked unchanged. Main refresh08:48UTC, complete overlap refresh08:51UTC: 621 open PRs including drafts, 1,153 Discussion/comment/reply records and 1,536 local records; no pagination warnings. Arbitrary diffs/unpublished work are not covered. PR2084/2120 coefficients, PR2324/2343 cutoffs and adjacent PR2405/Discussion2319 physical arithmetic work remain credited and distinct.

Smallest handoff. Identify whether the actual caller requires (PNH)^D. If yes, retain the old common reserve unless a separately charged adapter is proved. If no, bind one complete selected residual and child boundary to the live codec, keeping arbitrary-U access, ancestor restrictions, pointwise restoration and all paid work. This package supplies the exact acceptance gate, not that integration.

Ross Richardson with substantial OpenAI Codex assistance, including independent agent analysis. Apache-2.0; original copied source bytes/notices and attribution retained.