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22 changes: 22 additions & 0 deletions research/one-terminal-h3-prefix/HANDOFF.md
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HANDOFF

Research discussion / PR / artifact:
LOCAL-ONLY `research/one-terminal-h3-prefix`, branch `research/one-terminal-h3-prefix-20261023`; final public artifact pending parent publication. Scope is one actual priced H3 split AND one phase-bound homogeneous tall4x3 U(q) native offer, with no complete second-call consumer,112-capacity or kappa claim. Previously published packages remain unchanged.

Exact commit:
Scientific provenance base `624de9dc66858af0945e5f8a0942488d62280d43`; final publication commit pending. Fresh canonical main checked at `cef4b52f2a59009865bf8eabde1be3f159063703`, including revised selected-baseline startup guidance; the source pins remain valid. Native source is `20bb93cd990d2ff683e4d0fc56b87a42cd5d3296`. All seven A files from local packet `954da4f1f8f2b84d84a6feed16fa5f10f971239d` and G's separately frozen nine-file subtree are retained byte-exact. Six vendored upstream inputs are ancestral20bb. G's local interval dependency is retained by exact hash as committed package bytes, with no fork-only runtime/history dependency.

What is established:
Actual backward helper496 event15372 H3(911→full1) becomes H2(911→181), owned-zero COPY, then H1(181→full1), with exact signed-tableau/absolute-phase identity in forward and primitive-wise raw dual. All old live values and inherited632-input endpoint are preserved. G independently propagated all632 columns to confirm clean prefixes and complete isolated X39/Y151/helper496 rows. Separately, exact monomials T=X510, N=S D^-1 and B=E Q normalize F=T Dq and S=ND, with Dq=qD, q^2=X162 and q^4=I. Input X=-B a, output normalizers and Y+=H produce (X0,Y0,C0)=D U(q)(a,y,h), H0=Dqh; restore T H0=Fh afterward. There are THREE original owners plus a dependent prefix, zero new productive credit, paid deltaH2+H1-H3, one owned array and at most36 finite passes (19 split/access+17 normalizers/ADD/helper restoration). Both separate frozen checkers replay portably in normal/O; their records, G's original-offer independent review and six new-interface guard controls remain distinct.

What remains uncertain:
No two-call endpoint,112-resource realization, extra productive reward, new kappa or transfer to #4929 is established. The224H17 positive moment is only an unrealized price screen. Raw Gamma^2 has grade2; separate two-sided monomial normalization recovers D/q and does not assert a monomial square for raw Gamma. A's COPY/CLEAR words are not automatically inverse-transposes under general raw duality. G's new U construction is author-checked and packaging-replayed, distinct from its independent review of A. The known #4698 controller reuses one third owner and has third targetH16, not automaticallyH17; two native calls have distinct original helpers h,k. Precision allocation, added-ADD amplification, finite compiler reserves, complete caller, stock and outer funding remain open. Whole modified632-column replay is inherited through exact local replacement, not freshly run.

Smallest useful next task:
Write one exact two-call endpoint with the actual third-owner policy, retaining both independent helper jobs or honestly repricing reuse. Bind all source headers, normalizers, residual queries, COPY/CLEAR and cleanup, then price the complete paid/finite invoice before extending capacity. The present package stops at the actual one-port tall offer and supplies no additional family search.

Reproduction command and expected runtime:
From repository root run `python3 -I -W error -B research/one-terminal-h3-prefix/verify.py` and `python3 -I -W error -B research/one-terminal-h3-prefix/verify_homogeneous.py`, then both with `-O`; each is about1–2 seconds locally. Registered replay is `python3 scripts/research_package.py --package research/one-terminal-h3-prefix`. Both launchers authenticate exact frozen science/source bytes, adapt only Git-loader AST nodes in memory and execute in private scratch. A's PATCH/RESULT regenerate byte-for-byte; G's read-only checker compares its frozen receipt. Direct launchers support Git-free export replay.

Predecessor credit:
Credit Cao Yifan /intqwq and retained native #4610/#4712 contributors; Cinna Davis /1337isnot1337 #4698 and retained #4694/#4470 lineage; zxv and the exact-phase/compiler/interval contributors; A for the literal physical prefix offer; G for independent source review and the separately frozen U-interface construction; and the parent for the source/header scope review. Prepared for Chris R / Clear1nsight with substantial OpenAI Codex gpt-6.1-sol/high assistance. Apache-2.0; no independent human or proof-kernel acceptance claimed.
201 changes: 201 additions & 0 deletions research/one-terminal-h3-prefix/LICENSE
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