OZ-RT-BZ-T3-010-B: exact correction-flux rank/consistency gate

[fyremael]

Stacked successor to draft PR #413 and issue #403. Base is the fully validated frozen T3-010-A head 78186e06e3291b7b85d4d78e3a44218890f07dd9; this PR intentionally targets agent/oz-rt-bz-t3-010 so the A evidentiary checkpoint is not rewritten.

Stage: T3_010_B_CORRECTION_FLUX_EXACT_COEFFICIENT_MATRIX_RANK_CONSISTENCY_GATE.

Declared bounded correction class: SUPPORT_LOCKED_ORIENTED_ONE_BODY_DEGREE0_WEIGHT_CORRECTION_001.

This stage:

• opens correction systems only for the exact T3-010-A shell × channel × harmonic-block structure;
• uses, for each protected scalar family, only oriented primitive one-body correction weights already present in that scalar's protected T3-009 coefficient support and touching the selected 5+4+2+2 block;
• fixes coefficient degree to zero and forbids adaptive basis growth, new harmonic monomials, rational-prefactor search, and reopening the exhausted generic 198-dimensional raw-jet class;
• constructs each local correction response as the exact product-rule increment Delta_channel(G)=G(shift)-G before shell specialization, retaining protected pinv semantics for moving-support H_{n-k} / H_{n-l} increments;
• represents every system exactly over Q on coordinates (scalar label, oriented primitive harmonic monomial, exact affine-Laurent signature);
• computes rank_Q(A_c) and rank_Q([A_c|b_c]) for every structurally active independent cell and classifies it as exact inconsistency, unique consistency, or affine consistency;
• skips T3-010-A structural-zero cells rather than manufacturing correction systems there;
• independently reconstructs the full matrix family using a distinct exact-Q elimination path;
• derives l1 only through exact k<->l mirroring and verifies target and correction-matrix equality for all 100 block × mirrored-stratum cells;
• adds fail-closed mutation tests for rank, mirror, recurrence-search, and claim-boundary drift.

A consistent local cell is viability evidence only. This stage does not extract shared correction coefficients, does not certify cross-block/channel compatibility, does not perform full symbolic substitution or recombination, and does not run the final n-holonomic recurrence search.

Claim firewall remains:

residual_sum_zero_proved: false

proof_effect: NONE

promotion_effect: NONE

t3_status: OPEN_WITH_CHARACTERIZED_BLOCKER

The exact terminal outcome is determined only after governed execution of all 400 independent cells. Tracks #403 and umbrella #113.

[gcl-release-trust]

Advisory visual status report — PRVSR-LIVE-PR424-b2efb501fbbc-20260813005546

• operative state: UNKNOWN
• freshness: CURRENT
• exact PR head: b2efb501fbbc51cc4acd2635979c553a1952586d
• source snapshot SHA-256: 27348825e1636cb24d119805d9eadc90f217290b81408edb5c14f5efa518c1e9
• durable archive: governance/pr_visual_status_archive/grandchallenge/MATH-PROGRAMME/pr-424/PRVSR-LIVE-PR424-b2efb501fbbc-20260813005546/

This is a deterministic, derived, advisory presentation of governed source state. It does not create review, authorization, merge, certification, or propagation authority. The target PR head was not modified by archive or transport generation.

Phase 1 archive branch: prvsr-advisory-archive/pr-424
Archive path: governance/pr_visual_status_archive/grandchallenge/MATH-PROGRAMME/pr-424/PRVSR-LIVE-PR424-b2efb501fbbc-20260813005546/
Report generation or archive failure remains advisory and non-blocking.