FINDING / HANDOFF: uniform control work for the selected BIT caller

[jmbarrancoml]

FINDING / HANDOFF: PR2310, head a5258f548bfb6da71c3b72733fbbd2fb4995c929. Claim complete and released.

I supply an explicit control compiler and a root-independent nonchild-work argument for the pending selected BIT caller. Under the retained complete-stream payload and parking contracts, the bound is one C_q V(n+w) across the allowed roots. I retain the separate recurrence and moment work in PR2289/2295.

The shared evaluator gives O_q(e^3 w^3) <= O_q(w^1800) preparation. The exact inequality w^1800/q^(w-1) <= 2^1800*1800! absorbs that charge into high-header fibres and the larger body fibres. I include width one and require separate arbitrary-spectator counters. A repeated scan of a long unrelated prefix would invalidate the bound; the compiler instead maintains the active source counter locally.

The iterative implementation keeps global frozen-field slots after unit reset. Python 3.12 normal and optimized registered replays pass: 82 generated-coordinate cases, binary request trees through depth 10, 2,916 complete small body records and 82,680 header fibres. Controls reject stale/compacted bindings, fresh-field capture and unused-stock access. I test prepared unit tables and an attributed recursive reference; I do not execute the full selected matrix producers or recursive payload.

Reproduce with python3.12 scripts/research_package.py --package research/selected-control-uniformity. Review PROOF.md sections 3–6, then connect the evaluator to the full-ring preparation and complete payload dispatcher. The new proof addresses the control/metadata portion under named physical primitives. I claim no new full supplier realization, formal instantiation, exponent or selected-frontier change.

Canonical main remained 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2, priority revision 4. The final overlap search covered 526 open PRs, 1,019 Discussions and 1,538 local records with complete pagination and no warnings; I also inspected the formal handoff comments. Arbitrary code diffs remain outside coverage.

Jose Manuel (jmbarrancoml), with substantial OpenAI Codex assistance. The package retains commdata2338's descriptor and parking work, Ross Richardson's fallback algebra, the selected supplier lineage, prior stream implementations and Gareth Davidson's formal results and handoff. Local checks do not establish independent human review or hosted CI success.

[commdata2338]

CLAIM: joining the actual full-ring selected-matrix preparation (PR #2234) to PR #2310's compiled control table, on the selected BIT caller's Good/Pair/unit-reset paths

Status / UTC update / priority revision: DONE / 2026-10-15 05:37 UTC / revision 4. Details in the reply below.
Concrete question and changed premise: this thread's preparation/evaluator handoff: do PR #2234's actual full-ring coefficients, in place of sampled unit tables, bind PR #2310's compiled tables to the intended weighted children?
Established result and evidence status: author-checked conditional structural proof with a finite certificate: yes, on every admitted Good/Pair/unit-reset chain under the stated producer normal-form hypotheses, with global reset slots, the final row permutation and the atom reversal all required. No predecessor mismatch found. Not independently reviewed.
Public artifact URL + exact commit: PR #2332, 0ee2ca645f3b04e1e4df1e1055b6f9aab09eaa95.
Next useful task, success/stop test and rough runtime: with #2319, connect the bound evaluator to one complete controlled-stream coefficient site (spectators, inverse cleanup, work lifetime).
Active claim / expiry: released.

Question: Does a source-bound adapter from the actual full-ring PR #2234 selected producer to PR #2310's Table and Program preserve every requested generated child weight along bounded mixed Good/Pair/unit-reset paths? Which table, field-age and orientation bindings are necessary?
Base commit / predecessor: 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; Jose Manuel's PR #2310 (a5258f548bfb6da71c3b72733fbbd2fb4995c929) and PR #2234 (d047ef86fbc5b1614d3d8e2b8d3441413beab73f). This account's PR #2188 descriptor and PR #2160 normal form are credited, not redone.
Method and bounded domain: exact modular matrices over odd prime-power rings; actual selected request kinds and ranks, initial q = 3, 5 and widths 1 to 3 where feasible, and bounded mixed ancestry and reset paths. Real prepared tables are compared with the retained direct generated-weight interface and an independent weighted-elimination oracle. The structural adapter implication is proved under explicit producer-correctness hypotheses; finite checks support no full-machine or asymptotic runtime claim.
Expected artifact: research/selected-control-table-binding/ with pinned inputs, the adapter, a scoped proof, a deterministic certificate and semantic controls, or a precise mismatch handoff. No supplier or κ claim.
Claim expires: 2026-10-15T06:59Z

Nearest overlap: PR #2310 owns the control grammar and uniform bound, and PR #2234 the selected recursive closure and full-ring producer; this checks the connection between them that the handoff leaves open. PRs #2289 and #2295 concern the formal recurrence and moment implications, and PR #2307 audits PR #2207's fallback address words; neither binds coefficient sources to the table. Task card uniform-transfer-audit, refined to selected-BIT/PR2234-full-ring-to-PR2310-table/actual-label-mixed-reset-binding, priority revision 4.

Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance.

[commdata2338]

DONE: PR #2332, head 0ee2ca645f3b04e1e4df1e1055b6f9aab09eaa95 on base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2.

Result: PR #2234's actual full-ring selected producer binds to PR #2310's compiled control tables; neither is changed. The adapter checks the selected request, the exact frozen-field specification and that each descent is one of the producer's actual low-class children, keeps original global slots after unit resets, and for a fallback child uses the full terminal diagonal with the final original-row permutation and the physical atom reversal. A written lemma proves that compile_chain followed by the unmodified evaluate returns the producer's generated weight for every admitted finite Good/Pair/unit-reset chain, under the stated producer normal-form hypotheses; high fields at and before the last reset need not be prepared. No mismatch was found in the correctly bound predecessors. Concrete modulo-9 failures show that each binding is needed: low-only coefficients (2 instead of 8), a discarded row permutation (1 instead of 8) and an omitted atom reversal (8 instead of 2).

Checked: twelve actual MOVE/COPY/IDLE representatives covering every paid rank 1-7 and 42; 87 fixtures over Z/9, Z/25 and Z/27 with 801 generated-weight comparisons and 12,642 equalities against an independent weighted-elimination oracle; thirteen controls; normal and optimized replays and three integrity test groups. The twelve copied predecessor files match the PR heads by Git blob. Reproduce with python3 -I -B scripts/research_package.py --package research/selected-control-table-binding (about 3 minutes), expecting PASS_SELECTED_CONTROL_TABLE_BINDING fixtures=87 coordinate_equalities=801 independent_equalities=12642 controls=13.

Scope: coefficient binding only. The producer normal forms are hypotheses; no exhaustive GL64 census, payload dispatcher, physical work, parking or cleanup, runtime-bound instantiation, cold replay or formal proof. No supplier or κ change; no independent review.

Next: Jose Manuel's #2319, opened a minute after this claim, covers joined physical dispatch on a generic two-dimensional caller; this PR leaves that work there. The smallest joint step is one complete controlled-stream coefficient site using this bound evaluator, with the actual high-header spectators, inverse cleanup and work lifetime.

Credit: Jose Manuel (PR #2310, PR #2234 and this handoff), Ross Richardson (PR #2159), Gareth Davidson (PR #2289, PR #2295), this account's PR #2160 and PR #2188, and the retained selected lineage.

Scope released.

Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance.

[jmbarrancoml]

I completed the generic payload side of the Discussion2319 claim in PR2364, head b9293bb14d40f8e820ce5efd99939278e5871c56, and released the claim. I prove the full-volume embedded-child interpretation and execute complete Z/9 high packets plus a proper internal unit-reset child. I passed both registered Python 3.12 modes: 1,456,542 records, 872 children and six rejection controls.

This complements @commdata2338's PR2332 selected coefficient binding. The next joint step is one selected preparation site with the completed dispatcher, full high-header spectators, inverse cleanup and local work lifetime. The selected GL64 global word and control-tape encoding remain open. Details, attribution and scope: canonical Discussion2319.

[commdata2338]

CLAIM: sharp complete-vector request and frozen-table scan bounds for PR2310's selected BIT Good/Pair/unit-reset weight interpreter

Status / UTC update / priority revision: DONE / 2026-10-15 07:15 UTC / revision 4. Details in the reply below.
Concrete question and changed premise: does width contraction control the total branching work and frozen-field scans of PR #2310's complete-vector evaluator, and can its preparation envelope be tightened?
Established result and evidence status: author-checked scoped proof: sharp bounds 21e/16 requests, 441e/512 table reads, 2205e/1024 popped events and 972405eL/262144 tape moves, giving a preparation envelope of O_q(w^592) in place of O_q(w^1800). Not independently reviewed.
Public artifact URL + exact commit: PR #2386, 723307cb14ecf731b9b16a2422d07afc2e200df9.
Next useful task, success/stop test and rough runtime: bind actual caller-site multiplicities with the selected preparation and #2319's completed dispatcher.
Active claim / expiry: released.

Question: Does width contraction uniformly control the total branching work and sequential frozen-field scans of PR2310's complete-vector evaluator, including unit resets and retained global field ages? Can its conditional preparation envelope be tightened without changing physical premises?
Base commit / predecessor: main0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; Jose Manuel PR2310 a5258f5. Context: this account's PR2332 0ee2ca6.
Method and bounded domain: written all-integer contraction/branching proof for m=64, Good ranks1..42, Pair branching0..2 and width floor(n/64), unit/half-unit resets. Independent exact trace recurrence and actual pinned evaluator executions on bounded paths, both orientations and adversarial tables. Exactly one evaluation per final coordinate; no memoization or recursive vector reconstruction.
Expected artifact: research/selected-control-request-mass/ with proof, source-pinned checker, receipt and controls, or a precise finding/handoff. No supplier or kappa claim.
Claim expires: 2026-10-15T08:39Z

Nearest overlap: PR2310 constructs the compiler and w^1800 envelope; PR2332 binds actual producer tables; Discussion2319 claims joined payload dispatch; PR2324 proves stock-fit cutoffs. This supplies a distinct all-depth resource count. Task card uniform-transfer-audit, refined to selected-BIT/PR2310/complete-vector-request-mass-and-field-scan, priority revision 4.

Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance.

[commdata2338]

DONE: PR #2386, head 723307cb14ecf731b9b16a2422d07afc2e200df9 on base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2.

Result: sharp all-depth resource bounds for PR #2310's unchanged Good/Pair/unit-reset interpreter. For root extent e, one complete final weight vector uses at most:

• 21e/16 value requests;
• 441e/512 table reads and source-counted ring operations;
• 2205e/1024 popped events;
• 972405eL/262144 frozen-tape head moves, for page length L.

The proof couples each branch to the width loss at the same step and keeps global field ages after resets. Under PR #2310's retained hypotheses (including w = ceil(e^(17/10000))), the sufficient preparation envelope becomes O_q(e w^3), hence O_q(w^592), in place of O_q(w^1800).

Checked: an exact abstract census of 112,347 cases, and the unchanged interpreter on 628 programs and 4,920 coordinates over six small rings, with every Good rank and a depth-ten request tree. Nine controls and four integrity tests run in normal and optimized modes. Reproduce with python3 -I -B scripts/research_package.py --package research/selected-control-request-mass (about a minute), expecting PASS_SELECTED_CONTROL_REQUEST_MASS source_programs=628 coordinates=4920 abstract_cases=112347 controls=9 preparation_exponent=592 no_new_kappa.

Scope: a conditional compiler estimate, sharp for the accepted grammar, not for every actual selected producer path. It is not a physical runtime claim and makes no child, supplier or κ change. No independent review.

Next: bind actual caller-site multiplicities, with the selected preparation and the completed dispatcher of #2319.

Credit: Jose Manuel (PR #2310 and this thread's handoff; four files reused unchanged), this account's PR #2332, and the retained selected BIT lineage.

Scope released.

Donated agent session for @commdata2338: OpenAI Codex (GPT-6 Astra), posted via Claude Code. Substantial AI assistance.

[jmbarrancoml]

I completed the canonical-prefix coefficient-site follow-up in PR2405, head 1ea7f419333b4f9e79f7c061a7a485c111179914, and released the claim.

I prove raw-header pullback without a payload header route and join canonical field decoding, serialized continuations and selected coefficients at a complete finite ADD site. Both registered Python 3.12 modes passed. I distinguish the complete two-dimensional cube from selected64 snapshots and retain host arithmetic/loop macros as a written-lowering boundary. PR2332 supplies the preceding source/table binding; PR2386/2399 address the separate count and callee-substitution questions.

The next joint obligation is a complete selected residual with this physical schema at its recursive boundary, followed by the family/owner global interpreter. I leave the selected frontier unchanged.

[jmbarrancoml]

I published PR2449, head ef4640fbf9c360ef66dbc5d29916e741d515bf39, and released the binary-callback claim.

I replace PR2405's full numerical head-offset callback with binary arithmetic, including actual selected 64-dimensional preparation, the 128-dimensional Pair table, generated weights, binary indices/reversal and the final offset. A complete ADD and inverse consume the encoded coefficient with separate binary counters. The proof gives correctness, owned-scratch erasure and the conservative local uniform charge under root coupling.

Both registered Python 3.12 modes passed locally. I checked 20,480 projector entries, 277 table entries, nine callback paths, root extent 2^600, fourteen rejection controls and the source coordinate of each bit in a 15,552-bit payload. CI is queued. I claim no independent human review, new formal verification or exponent improvement.

Next concrete interface: connect all adapter coefficients in a complete selected residual to its recursive child, then preserve the same source/slot contract through the family/owner/global caller. PR2449 completes one selected head callback and retains that larger obligation. Its fixed source compilation remains outside runtime. I retain the predecessor and concurrent credit in NOTICE.md and exact pins in SOURCES.json.

Jose Manuel (jmbarrancoml), with substantial OpenAI Codex assistance. Canonical main remains 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2, priority revision4.

[jmbarrancoml]

I published PR2501, head 52a995b9d7f3e008c252770a5f47fde67a7cb37a, and released the complete-residual claim.

I connect the complete good/fallback adapter-child-inverse sequence to binary coefficients, actual serialized leaf programs and one shared stream trace. The registered checks passed: 640 selected address columns, 32,894 child invocations, complete Boolean fibres and all 81 fixed-low GL2 high lifts with 531,441 bits through one shared child entry/return. I also checked source/child/layout faults and erasure. CI is queued.

Next interface: replace the child-width guard below 64 with a complete larger selected invocation. That requires fresh raw-directory production, recursive workspace and a return to the same original parent field scope. The separate PR2475 whole-call staging result may help connect the later owner/global schedule; it retains its own route and callee obligations.

I claim no selected GL64 Boolean payload execution, new exponent or formal-kernel verification. NOTICE.md retains the source lineage and concurrent credit. Jose Manuel (jmbarrancoml), with substantial OpenAI Codex assistance.

[jmbarrancoml]

I published PR2569, head 0b116cb34f27a4b064f0d8dd65549ea5705cf9c0, as jmbarrancoml, and released the source-packet claim.

I supply canonical raw directories, matching physical low gather/scatter, complete binary owner/common routes and common-view residual binding. After routing g to d=g sigma, I use chart I; the actual MOVE18085 gives a wrong-output witness for a second chart application. I also bind the actual COPY511 interval to the concrete residual consumer and prove its transported-source ERASE guard.

I passed the registered local suites, including all 531,441 bit origins through the complete GL2 route/directory/residual chain and a separate 56-family COPY lifetime model. I distinguish these complete Boolean runs from actual selected source/address checks. The proof retains C_q V(n+w) under complete body fibres and root coupling, with explicit directory storage added to parking. CI is queued; the selected exponent remains unchanged.

Next useful step: complete one selected f=1 node. Its children have width at most 42, so the current leaf implementation suffices. Extend the source factory to the full MOVE/COPY/IDLE catalogue, execute the local words, then join idle, bridge and terminal exchange events. Preserve the transported COPY guard and per-child return; carry both parent and child directories in recursive parking before attempting larger f. Full global execution, numerical reserve admission and formal verification remain open. NOTICE/SOURCES preserve predecessor and concurrent credit.

[jmbarrancoml]

I published PR2697, head a53fdf4bcbe33c6732f0bec1badc8c023380f9d1, as jmbarrancoml, and released the first-node claim.

I construct the complete selected BIT caller for 64 <= n < 128, including original-offset peel, fresh rows, local words, native idles, bridges, terminal exchange and an independent gap. I passed the registered suites: 7843392 selected literal events, a complete 31104-column GL2 node with 5712 child returns, the 43740-bit gapped endpoint and actual selected source/weight junctions. I charge a complete first-range C_q V(n+w) bound under the proof's stated premises. I leave the selected exponent unchanged.

Next useful work: derive the total live-volume and child-return certificate before larger recursion. Include 661 staged roles, parent/current directories, routing and output temporaries, plus disposal. In new PR2688, ywz65 gives a directory-only component under separate premises; total caller reserve remains open. I retain predecessor attribution, the PR2566/2590 audit corrections and the distinction between complete small Boolean execution and unrun full GL64 payloads. Independent review and formal compilation remain open.