[JoyboyBrian]

The staggered five-call preparation's proposed partial-owner repair cannot work by changing only its fresh-input feed. This package proves that every uniform free feed B, including the fourteen complementary-sector projectors in the claim, leaves the retained span disjoint from the pure two-target module. At least two more calls are therefore still needed after this particular preparation.

The new certificate projects only the original x input onto six low-order left monomial cosets. The retained rows x,u,v,r,z,t form a triangular matrix with unit diagonal. Its nontrivial diagonal is g1+2g2; g1^-1g2 has order four and an explicit geometric inverse. The proof includes the uniform-word/Vandermonde step, keeps central phases, permits all free mixtures and retained x/y, and makes no fixed-width linear-independence assumption.

This strengthens Yiyang's two-owner graph screen in the continuation handoff: a singular fresh feed could invalidate that screen's y-side pivot, but cannot affect the new x-only certificate. It closes this scaffold rather than claiming a completed unit or general five-in-fourteen obstruction. Useful next work must change the original-owner chronology before another hook census.

Validation on macOS arm64 / Python 3.12.2:

• Registered normal and optimized exact replay pass: 21 coset-separation pairs, the complete coefficient table, a coefficientwise group-algebra inverse, fourteen complementary-feed variants and five controls.
• Root proof/code cross-review completed; separate agent mathematical review is recorded before publication. Neither is independent human or proof-kernel acceptance.
• Nine-file committed-byte/source-history preflight passes; only canonical main b58ad9e is needed in declared history.
• Committed export integrity and Git-free ordinary/optimized replay pass with PATH=/nonexistent. A changed retained source is rejected before compilation, and all ten export files are restored byte-for-byte.

Only research/staggered-single-owner-obstruction/ is added. The unchanged arithmetic helper and original notice/license are retained with exact source credit; no unmerged Git object is needed at replay. The canonical claim records the original fourteen-feed question and the strengthened all-free-feed result.

Credit Yiyang/#4710 and phase-prefix-continuations at dcd20b2; lee-phys/#4688; Jacob Sussman/#4628; eumemic and Swapnil Jain as credited in that lineage. Prepared by JoyboyBrian with substantial OpenAI Codex assistance; Apache-2.0. No κ change, full hook-rank run, Lean/Docker, selected replay or hosted CI pass is claimed. Width-dependent scalar decoders and changed original-owner query chronologies remain outside scope.

Submission checkpoint: canonical main was fetched again and remains b58ad9ef4d4e861b0eaa5dba41742bdc072dca51, priority revision 7. The refreshed complete inventory (2026-10-22 19:10:08 UTC) covers 512 open PRs, 3,673 Discussion records and 5,860 base local notes. Scoped search and live predecessor heads were rechecked; no competing result was identified in this stated coverage. Closed PR diffs, arbitrary nested code and unpublished work remain outside it.