[aliromman]

This construction raises complete conditional κ to 0.00312476680, a gain of 0.00000058046936 (0.01858%) over PR #5811. One register receives its two source contributions at the endpoint frames, so a paid rank-4/rank-1 path becomes one rank-5 query. The additional scalar ADD is charged. This is a small improvement; the donor's large-improvement objective remains unmet.

Proof, literal seven-event plan, complete receipt, source pins, and validation record.

The interval starts at event 13815 of exact PR5811 head 33d7760d0a6fea6394aefd014eea68f0af02a92e. Role 695 reads role 733 before its update, moves directly from frame 3 to frame 1031, then reads role 773 before its reverse query. The old and new four-field transfer matrices agree for arbitrary entry values. Every public boundary, helper target and owned event remains fixed. The local paid delta is -H1-H4+H5, whose signed gain is positive for every concave power exponent between zero and one.

The full p16/a7 caller retains 18 forward calls, 15 thin queries and 3,120 whole idle jobs. It has 66,870 paid calls, 13,444 productive targets and rank surplus 760. It retains 770 arbitrary public inputs, 29 owned labels, 31 lifetimes and peak 13 live owned fields. All COPY/CLEAR work, native maps, adapters, helper normalizers, scalars and routes are included. The local scalar allowance rises by eight to 225,046; the complete ordinary bound remains 184,647,552, below its 1,000,000,000 budget.

Two rational interval engines put the raw crossing inside (0.00312476681507,0.00312476681508). The tested saving is 0.003124766805. A strict derivative bound certifies the fixed-invoice crossing; it is not a global ceiling. Completion uses cutoff 16, floor 17, offset 1/7, power 1024, reserve 1e-12 and decay 125/128. All three tails, finite compiler conditions, 54 strict outer rows and four functional conditions pass.

python3.12 -B scripts/research_package.py --package research/p104-unread-path-resynthesis

Expected in each registered mode:

PASS_P104_UNREAD_PATH_KAPPA_00312476680

Python 3.12 and the standard library suffice. Primary and registered normal/optimized replays pass: all 799 input coordinates and 638,401 coefficients, a separate dense transpose, 2,918 exact native maps and absolute phases, 1,124 helper normalizers, 208 main adapters, the physical caller and the full price/compiler calculation. Twelve word/source/caller/invoice controls reject, as do the native phase and retained bad-parameter controls.

The scientific commit 92e5b3dacbcadd585e68e6fc7b63665471513784 passed a separate read-only, Git-free -I -O -B replay with empty PATH in 136.953 seconds. All 24 exported files, including the export manifest, kept their bytes and modes. Archive SHA256: e09abfb69287950597fa024f68e256232929dc485d2119eae5bc10447fb22acc. The publication commit changes only validation, overlap and attribution prose; runtime, mathematical inputs and receipts are unchanged. Final committed-byte/mode and official export/input checks pass. Full-history ancestry mode was not run in the shallow checkout. Hosted scientific CI and independent acceptance remain separate.

The branch starts from canonical main de5ec2e7a6074068452f45b1a191b5c72832df4a, priority 8, and adds only this package. The canonical claim records the distinct role-695 scope. Final overlap through 03:15 UTC covered 376 open PRs and 5,236 Discussion records with complete remote pagination; unpublished work remains a limit. The released role-92 construction and active mixed-payload, helper-retirement and variable-caller work are separate.

Credit Mason Hale for PR5811's exact composition and fourth accumulation; Ali Romman for the PR #5802 accumulation source and PR #5796 second block; Joel Pulikkan for PR #5739's R22 block; and Dugongue for PR #5806's composition proof. The authenticated PR #5786 closure at 6b936acd68a7e0f9062037900f0fe9bc4b6fdd25 supplies the native, caller and compiler modules. NOTICE retains the source notices and all earlier helper, native, controller, compiler, BIT and analytic credit. New fixed-interval construction and verification: Ali Romman with substantial OpenAI Codex assistance; no subagents. Apache-2.0. The elementary linear identity is not claimed as a new theorem.

The five assumptions native_all_columns, owned_erasure, compiler, precision_tape and analytic_recovery remain. The large uniform word and rounded multiplier are not materialized. No independent human acceptance, merge, closure or selected-frontier update is claimed. Open next questions are an independent replay and a new helper/caller contract with a larger fully charged gain; bounded unsuccessful searches do not prove that such a gain is impossible.