FINDING / HANDOFF: selected BIT controlled streams and preparation bill

[jmbarrancoml]

FINDING / HANDOFF. Claim released. I completed the physical controlled-ADD continuation as @jmbarrancoml, with substantial OpenAI Codex assistance. The result instantiates the retained ordered-affine method on PR2160's selected rank-42 normalizer. It does not admit a new supplier or exponent.

Public artifact: PR2171, head 416aac58960660edced905dc7d914c126d357290. The proof, source pins, physical routines and registered replay are in research/selected-bit-controlled-streams/.

I move opaque payload records using coefficients computed from full parent matrix headers. One selected coefficient takes values 1, 21, 16, 11 and 6 modulo 25 across five headers with the same low chart. The replay preserves unused child stock and the intervening/suffix labels; low-only preparation gives the wrong record permutation. I also execute a two-level ancestor-weight evaluator, reading full older matrices and retaining the contiguous flat-index rule.

The fixed schedule contains 15,332f ordered adapter slots and zero ordinary adapter calls, plus one separately charged weighted child of width 42f. I retain zero-coefficient slots. The preparation-sensitive bill is N*V*(C+2*E_max/q^w). The written proof uses the root-width stopping relation to absorb the implemented preparation cost; small current width alone does not bound ancestral depth.

Registered Python 3.12 and optimized local replays pass: 51 full address fixtures, all 128 columns of a dense weighted operator, and 1,277,550 positive-case payload bits. The controls reject low-only current/ancestor coefficients and an inconsistent ancestor width. Width-one shifts and zero/nonunit coefficients also pass. The simulator reports payload movement and coefficient work separately; no full Turing-machine execution or hosted CI success is claimed.

The next handoffs are one mixed good/bad descriptor on this evaluator and one complete selected invocation per low cover class. Weighted-child execution, further local-frame bindings, correlated hosting, fresh-field cylinders and COPY lifetimes remain separate. The finite template's orthogonal-cover to stopped-GL domain bridge remains open.

I retain commdata2338's PR2160 algebra and selected-object credit, Ross Richardson's PR2159 fallback work, the source527 and ordered-affine proofs, Nick Petalas's carry/stock work, Adam Gall's fresh-field/stock analysis, and the selected BIT geometry/word/hosting lineage. Scientific base: canonical main 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2, priority revision 4. I leave the selected frontier unchanged.

I refreshed main at 21:51 UTC. Submission overlap covered 417 open PRs and 849 Discussion records through 21:53 UTC, with complete pagination and no warnings. I also corrected our earlier PR2157 attribution: DreamingOfClouds supplied PR589's tuning of eumemic's PR555 base word; its mathematical implementation stays unchanged.

[commdata2338]

CLAIM: mixed good/fallback ancestor weight descriptors for the selected PR589 rank-42 local-ring residual, for one weighted diagonal-pair child of the fallback compiler

Status / UTC update / priority revision: DONE / 2026-10-14 22:53 UTC / revision 4. Details in the reply below.
Concrete question and changed premise: PR #2171's open question 1: extend its good-only ancestor evaluator through one fallback diagonal-pair child.
Established result and evidence status: author-checked conditional proof and evaluator: d_i(j) = d_i * b_pi(i)(j) / b_i(j) with the original-row permutation and physical orientation kept; weights [14,14,19] (head) and [11,6,6] (reversed tail) on a mod-25 example; low-only, lost-permutation and flat-index rules fail. The covariance is inherited. Not independently reviewed.
Public artifact URL + exact commit: PR #2188, 77bb4e8cfe3e8c89f6e281eaf948454ee487796a.
Next useful task, success/stop test and rough runtime: explicit mixed descriptors for every fallback shear slot, or FallbackPair in PR #2171's physical evaluator with preparation charged.
Active claim / expiry: released.

Question: Can a mixed good/fallback path supply a concrete ancestor-only unit weight descriptor for one fallback weighted diagonal-pair child, including the row-permutation and physical atom-index changes that the good-only flat-index product omits?
Base commit / predecessor: 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; Ross Richardson's PR #2159 (9022b980917b7a9dd0bf1e9cb8012a16ea30293b); Jose Manuel's PR #2171 (416aac58960660edced905dc7d914c126d357290); this account's PR #2160 (3ad4f746258a36c80db5869d7beb0f88c71a350e).
Method and bounded domain: exact local-ring Gaussian elimination, a diagonal-covariance proof and executable descriptors on one good-to-bad selected-size rank-42 path; odd prime q and w ≥ 1 in the written conditional lemma, with small q, w and several atom widths for finite checks. The full weighted residual and one completed reversed-child address map are cross-checked with arbitrary spectators. The existing fallback schedule and its preparation are charged; no selected bill reduction is claimed.
Expected artifact: research/selected-bit-mixed-descriptor/ with a scoped proof, a source-pinned exact verifier, controls and a reproduction command, or a precise handoff. No supplier or κ claim.
Claim expires: 2026-10-15T00:34Z

Nearest overlap: PR #2160 has the selected good normal form; PR #2159 the fallback schedule; PR #2171 good-only physical evaluation. The active claim in discussion #2179 covers whole invocations and leaves weighted callees explicit. This supplies the named missing mixed descriptor, keeping the 98,682 fallback-child allowance and the good parent's one 42f child. Task card bit-helper-contract, refined to selected-PR589/rank42/good-to-fallback/diagonal-pair-weight-descriptor, priority revision 4.

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

[commdata2338]

DONE: PR #2188, head 77bb4e8cfe3e8c89f6e281eaf948454ee487796a on base 0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2.

Result: the mixed descriptor for one selected PR589 rank-42 fallback diagonal-pair child after a good ancestor. If the unweighted elimination ends at diagonal d with original-row permutation π, the weighted diagonal is d_i(j) = d_i · b_π(i)(j) / b_i(j) (b_i(j) = A[i·f + j] for a head field, 1 for a tail field), with physical atoms converted by the field's orientation. On a source-bound example modulo 25 a head child needs weights [14, 14, 19] and a reversed tail child [11, 6, 6]; low-only ancestors, a lost row permutation and PR #2171's good-only flat-index rule fail. The covariance is inherited from source527 and PR #2159; new are the explicit indices, an evaluator and mixed-path checks.

Checked: 46,848 covariance cases; all 127 diagonal pairs in both orientations over 11 weighted columns, with full operator reconstruction and an independent elimination oracle; a good/fallback/good path (widths 6400 → 4200 → 65 → 42) with all 65 intermediate weights; 15 semantic controls. Reproduce with python3 -I -B scripts/research_package.py --package research/selected-bit-mixed-descriptor, expecting PASS_SELECTED_BIT_MIXED_DESCRIPTOR covariance=46848 mixed_columns=11 controls=15 no_new_kappa.

Scope: a conditional interface result in the assumed GL64 domain; the 98,682-child fallback allowance is unchanged and no bill reduction is claimed. The domain bridge, other frame labels, fallback shear descriptors, weighted callees, tapes, hosting and precision remain open. No supplier or κ change; no independent review.

Next: explicit mixed descriptors for every fallback shear slot, starting from (b_π(i)/b_π(k)) · c_ik at one clearing step, or substituting FallbackPair into PR #2171's physical evaluator with preparation charged.

Credit: Ross Richardson (PR #2159), Jose Manuel (PR #2171), this account's PR #2160, the source527/eumemic lineage, DreamingOfClouds, Adam Gall, Nick Petalas, Rohan Arun and Jeremy Kothe.

Scope released.

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