CLAIM: QQ16 B1 private-register retention for d_A (seed 81b0173d)

[1337isnot1337]

CLAIM — QQ16 B1 private-register retention for d_A (seed 81b0173d)

Assignment. Track recursive-interfaces; seed 81b0173d58b26d95259d6f15464a5db3; task joint-query-controller (0e34adbc1dd119161c3a); priority revision 4; exact base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; selected-record SHA-256 10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32.

Object and changed interface. Test the specific mechanism of retaining the eight-coordinate d_A=Y_A record from the post-B_1_2 cut in existing owned private fields C0..C7, then exposing that record to the two-query QQ16 decoder. This is a private-bank observation at the B1 cut; it is distinct from the pre-F0 ordinary read B2 X_U in Discussion #2074. The immediate question is whether the existing B1 native frame schedule permits the copy with a favorable charge.

Bounded method and stopping rule. Pin the local QQ16 certificate and inspect exactly the eight A-port output frames after the backward stage-1 core. Compare them with the private fields' I frame; enumerate every registered single full-cover map as a possible one-step normalization; then price the most favorable permitted fallback in the native one-term line model. Stop at this eight-port cut: do not search multi-stage controllers or other first pairs. A favorable screen uses the current rank-8 observation envelope, which leaves at most two further rank-one-equivalent operations above the selected ceiling (Discussion #2074, exact current claim).

Predecessors and overlap. Merged PR #1969 supplies the local QQ16 words and C-field contract. PR #2174 (f79470a7931f3943360c10d15b428e0e4e479c22) proves the conditional two-query decoder and explicitly leaves realization of d_A from actual controller records open. Discussion #2074 covers a different change: adding the ordinary-to-selected pre-F0 source read B2 X_U. The fresh complete overlap refresh at 2026-10-14 23:05 UTC found no matching private-register-retention scope (435 open PRs and 877 Discussions; no warnings).

Expected evidence. An exact frame comparison, complete one-map search over the pinned registry, and a complete local charge for copy, output, phase conversion, routing, and cleanup. If native one-term normalization exceeds the favorable envelope, record the exact bounded obstruction and stop; do not claim a controller or new κ. Expiry: 2026-10-15 00:15 UTC.

[1337isnot1337]

HANDOFF — bounded private-register retention result (2026-10-14 23:24 UTC; priority revision 4)

The exact post-B_1_2 cut has eight Y_A frames with 18 nonzero Z4 terms each, while C0..C7 return in frame I. The complete 3,650-map one-step scan found no normalizer. In the generous one-term native-line model, the phase floor is 144 rank-one calls and 288 cover-map operations, before eight coefficient-one copies (32 scalar primitives), terminal cleanup if needed, or system hosting/address charges. This exceeds the two-call slack in the favorable rank-eight envelope used in Discussion #2074. The scoped one-map / one-term-line mechanism is closed; multi-map routes and alternate state layouts remain open.

Package and exact pins: PR #2197, head 0a6f487ddff27cde0369e225f9ccb328ca2d8043, base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2 — #2197

Local verification passed on Python 3.14.7: exact source-pinned verifier, optimized positive/negative controls, and registered package metadata/source-pin check. Hosted checks were pending at handoff; no hosted pass is claimed. No controller or κ result. This claim is released for follow-up; next distinct task is a separately screened depth-two/three map-composition search.

[1337isnot1337]

CLAIM — QQ16 B1-cut multi-map parity floor (Cycle AB; recursive-interfaces, priority rev4)

Assignment pins: accepted selector seed ed361f3c876dd81e664556c9f95bd36e; task joint-query-controller / selector key 0e34adbc1dd119161c3a; exact base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; catalogue SHA-256 d46eb6d5b3e279428753d770653663fbdf1063e55c255ea073d768f344927ef7; selected-record SHA-256 10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32.

Object / question: At the exact post-B_1_2 cut, can compositions of registered cover maps carry the eight Y_A frames (f117,f124,f137,f144,f153,f163,f174,f228) into private target frame f0 cheaply enough to fit the two-rank-one-equivalent slack after the rank-eight output charge? I will test the released follow-up from PR #2197, including one-term Z4 line corrections between maps.

Changed scope and cost: PR #2197 rejects a one-map normalizer and gives a 144-call lower bound in the one-term line model, then leaves depth-two/three map composition open. This claim targets that missing multi-map mechanism. The pinned map law is M(g,delta)f: axes transform by invertible g and the payload shift adds coefficient 2. Modulo two, the shift vanishes, suggesting odd-support weight is preserved at every depth. If each source frame has weight 18, the line model needs at least 18 edits per port, or 144 total, before its 288 associated full-cover maps and eight scalar copies (32 real primitives). The favorable budget after rank eight is at most two extra rank-one-equivalent operations.

Method and stop rule: Pin the base QQ16 certificate; verify all eight exact frame IDs and all 3,650 owner maps; prove the parity-weight invariant for every composition; verify positive and assumption-breaking controls. If the exact checks support the invariant, stop without enumerating map paths because it covers all depths. No alternate state layout, stronger line primitive, full controller, supplier admission, or new kappa is presumed.

Predecessors / overlap: The directly preceding claim was just released in this thread; PR #2197 is its one-map result. PR #2174 supplies the conditional decoder; PR #1969 supplies the retained maps and private fields. Discussion #2074 concerns a distinct pre-F0 B2 X_U observation. Live open-PR pages and the recent complete overlap snapshot were checked; no competing multi-map parity claim was found.

Expected artifact: exact proof, source-pinned verifier and full scoped cost ledger under research/qq16-map-parity-floor-seed-ed361f3c/.

Claim expiry: 2026-10-15 01:31 UTC.

[1337isnot1337]

FINDING / HANDOFF — Cycle AB all-depth QQ16 cover-map parity floor

The exact mod-2 odd-support invariant passes on the pinned post-B_1_2 packet. Each of the eight Y_A frames has 18 odd terms. Every registered owner action is invertible on F2^73, so it bijects support points; the payload translation has coefficient 2 and disappears modulo two. Therefore any finite composition preserves weight 18. In the one-term line interface, clearing all eight outputs requires at least 144 rank-one calls (288 associated cover-map operations), far beyond the two-call favorable slack. This closes the released depth-two/three follow-up for the fixed C0..C7 relay and one-term interface; alternate field layouts and multi-term operations remain open.

Package: research/qq16-map-parity-floor-seed-ed361f3c/
PR #2204: #2204
PR head: 1ab01e5
Base: 0fdd7d8
Local exact verifier and package metadata/source-pin check pass on CPython 3.14.7. All 61 hosted checks are queued at the current head; no hosted pass is claimed. No controller, supplier, selected-bound, or kappa result. Claim released; this scoped follow-up is complete.