[dillona]

The retained-center construction can remove eight H8 calls and eight later H1 calls while preserving all 632 original inputs. This PR supplies the changed backward word, an explicit invertible helper basis, and physical boundary maps that return 400 unchanged helper jobs plus this coupled block:

X = D x - R y + R W h
Y = D y
H = D(h - Z y)

Here R = DQ, ZW = 14I and WZ = I − C. All nine temporary fields may start arbitrary and finish zero. The paid profile is {1:2193, 2:412, 3:510, 4:127, 5:40}. The eight H outputs remain coupled and receive no autonomous Gaussian target credit. This is an intermediate construction, with no completed caller or new κ.

Only research/native-rank8-helper-provider/ is added. The recipe specifies the native word, two in-place dyadic basis programs, all boundary normalizers, and final whole-field swaps. Added ordinary work is 1,644 ADD, 40 SCALE, 16 COPY, 24 CLEAR, eight SWAP and 464 monomial maps, including the inherited main standardizers. The proof covers every positive fiber width and supplies a conservative local error bound; full caller precision, movement, storage and outer funding remain open.

Validation: registered Python 3.12 normal and optimized replays passed in 12.38/12.23 seconds. They recompute all 641 input columns, all original endpoints, nine clean temporary returns and 1,240 exact physical phase bindings. Mutations of basis/cache coefficients, zero-retag input and absolute phase are rejected. Committed-byte and source-history checks, official export integrity and a fresh optimized replay from a read-only Git-free export pass. Hosted planning and registered replay also pass at published head 3348fccea855082786d5f0fc5558b73d4974e745.

python3.12 -B scripts/research_package.py --package research/native-rank8-helper-provider
python3.12 -B scripts/check_research_commit.py --package research/native-rank8-helper-provider --check-source-history

Ali Romman’s #5383 supplies the eight cached-center identities; its WITNESS is retained verbatim and every used identity is rederived from pinned main source. Cao Yifan supplies the native word, Dugongue the center-free code, and Cinna Davis the retained-center/helper/controller lineage. Full Clifford, recursion and predecessor attribution appears in ATTRIBUTION.md. Prepared for Dillon with substantial OpenAI Codex assistance; Apache-2.0.

Canonical main was refreshed at submission (1ec1119972c9aefe42525172d07b332fcff81cb4, priority revision 7); frozen scientific inputs are preserved. Recent #5397–#5400 work was checked for overlap. The broader caller investigation continues in Discussion #4930. This PR neither changes the selected frontier nor resolves those remaining caller obligations.