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Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets

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Projector Resolved Seed Calculus II

Refinement towers, weighted transfer, and integral separation of operator packets
Komorebi P.

The three readers contain 157 pages. The traditional manuscript includes twenty-four worked plates. Open START_HERE.html for the reading index.

Sources and evidence

All fifty-three enumerated proof-level records have accepted exact-source correspondence under their displayed hypotheses. The accepted October 19 run records seventy-five production modules, 2,112 logical declarations replayed and nine negative controls. Canonical values require the stated admissible data. No general admissible-contour existence theorem is added by the release or this freeze.

Verify the frozen package

Extract this single complete ZIP, enter its root directory, and run:

python3 scripts/verify_frozen_release.py

This standard-library command checks the exact file set, sizes, SHA-256 values and preservation of the complete accepted baseline. The original manifest is retained under verification/freeze_2026-10-20/before/. Earlier receipts identify their original inputs; the current complete-package inventory is the root MANIFEST_SHA256.json.

Fresh freeze checks authenticate the baseline and linked evidence, current reader identities and selected renders, and the cleanly extracted ZIP. The existing forty-eight Python tests retain their successful October 20 execution record. This freeze does not repeat Lean, Python experiments, a TeX rebuild or a whole-paper proof audit. The accepted sources, PDFs and license notices retain their reviewed bytes.

Open use and reproduction

Original software and machine-readable material use MIT. Original papers, guides, figures and explanatory writing use CC BY 4.0. See LICENSE.md for full scope and third-party exceptions, and LICENSES/ for the complete terms.

Formal replay needs the external pinned Lean 4.34.0-rc2 Linux runtime and dependency cache. Use a separate working copy for rebuilding or running commands that create files. REPRODUCIBILITY.md gives the exact recorded commands and their trust boundaries.

Reading edition: October 19, 2026. Accepted open release: 1.1.1, October 20, 2026. Frozen distribution: October 20, 2026. Dated source, maps and reports preserve their historical scope.

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