[ToikY]

External source-bound qualification of the EXISTING33-query parity-header floor for zxv #6726 head435bbe91fb28cb1d7a569ca70c6c4e9eb302d486. Free ordinary normalizers may depend evenly on q², including the literal lambda gates. For r>=1 odd target directions, invertible even ordinary gates and one-row paid odd shears imply M>=r+1; r=0 has floor0. The prior q-independent proof applies sectorwise; no source-error or discovery claim.

Actual606-event/34-original-input scalar header after all18Dj=1 in Q(i)[q]/(q4-1):32q^-1+2I diagonal,33paid queries. Both theta sectors have even-rank trace34→34→33→…→2. Primary uses formal A+qB/row ranks; code-disjoint oracle uses all four exact characters1,-1,i,-i, reconstructs A/B and column ranks. One theta sector suffices for the bound; all four characters retain the full endpoint phase. Both sealed firsts produced identical entire56434-byte packets SHA256f9203bdcf39e4f14bd85520d564c9412ad1d8b4835e9863935cf7f4ee72742ff,4624Gaussiancells/132rankvalues/fullcensus/fouractualsemantic-alphabetcontrols (threeinstructionmutations andonechangedtargetphase).60actualCLIcorruptions rejected across normal/-O. Universal proof is written; finite replay establishes this application.

Python3.12.14 standard library; four registered whole-certificate commands and four read-only Git-free/empty-PATH export replays passed. Metadata/pins and all29committed bytes/modes/source ancestry passed; official export/check-inputs passed. Eight inert source objects87033B authenticated by Git/SHA/size. Independent written and crossed code reviews pass. No source scientific program, native runtime, Lean or Docker executed. Coordinator/oracle-author prior inert-source-definition exposure from #6733 disclosed; separate new engines, no source/peer imports, not source-unexposed discovery. First missing README next-question heading failure retained and corrected only in docs; scientific core and first packets unchanged. Local global planner remains unavailable due missing historical metadata; no hosted CI claim yet.

Task joint-query-controller scope58d8c9133832c5149bdc explicitly changed to this released historical caller audit; original actual-selected complete supplier/invoice gate unmet. Canonical main7c49fe32c55de02c2c873655c804b16e4c3fef0a/eightbindings/revision8/selected6030 unchanged,683open bodies refreshed with no deltas before submission (our newly published6734 thereafter). Targeted all-state searches, source feedback, canonical ledger, sparse notes and visible handoffs checked. Fullclosed/arbitrarydiff/middleDiscussion/hidden coverage UNKNOWN. No public advance-claim credit during technical browser failure. Sciencefreeze12:37:04UTC; final15minutes reserved through sessioncap12:55:40.

Credit Matarener #6114/#6120, Cinna Davis GLOBAL/parity lineage, zxv #6726 word/floor/checks and retained thu-nmrc/DreamingOfClouds/AliRomman/RohanArun/ChaloupeMusic/JacobAlanSussman native/caller contributors. #6733 separate second-fragment audit is predecessor context, not recounted. ToikY with substantial OpenAI Codex assistance, distinct AI implementation/review roles, Apache2; original notices/licenses retained. No human/kernel acceptance.

Remaining: actual physical native port/absolute phase law and all-columns, complete paid/ordinary invoice, owned erasure/stock, compiler/precision/tape, analytic/outer recovery and all five selected assumptions. Free odd controls, initialized/prephased/discarded axes and multirow paid primitives lie outside this proof class. TASK/README give a concrete caller-binding first step and blockers, no work reserved. No κ/frontier change, merge or auto-merge; maintainer edits disabled.