[RossRichardson]

Summary

Construct and price cyclic H6 logical networks with arbitrary ordinary input dirt. For r = 2,...,7 and N = 2r, mutable readers save 18N(r-2) scalar component primitives in each orientation, while their recursive rank-profile pressure worsens for r > 2. The package also gives a disjoint 4,800-module tiling and constructs one compatible eight-centre Pauli refinement; its fully charged shared visits outweigh the private-rank saving.

The proofs and reproduction guide include complete deterministic receipts and separate AI mathematical reviews.

Scope and limits

Exact finite operators, binary-frame geometry and written identities under the declared logical frame/private-stream interfaces. Helpers restore logical values at declared final frames; raw physical return and a native phase compiler remain open. Full-H6 support/K evidence is explicitly inherited, and the residual completion is specified and counted rather than fully executed. No favorable full supplier, rounded/owner/tape admission, selected-frontier change or new kappa is claimed. The rank/Smith results already published in #3649 and #3655 are excluded.

Test plan

• Committed-byte/source-history preflight and registered Python 3.12 replay.
• All four registered commands from a read-only, Git-free export in a path containing spaces.
• Automatic GitHub checks passed on exact head 43221d752884ad3c4778f45295068a42c32f105e.

The independent audit covers 44,440 ordinary operator coefficients, 22,220 duality entries and 90 semantic defects with named-check deletions. Package controls exercise 67 intended rejections and 16 check deletions per optimization mode. Complete regenerated typed JSON is compared; recompression bytes are not used as a mathematical equality test.

Sources and credit

Scientific sources: 20ecf2891d80b5acf18d980b2164fb44ea7faa90; task/guidance: 12fa8c5c844be21bfefb38a19503fbd867a11244 (priority 7). Exact Git blobs and unpublished predecessors are retained in SOURCES.json and component source inventories. Credit Dominik Scholz / #606, DreamingOfClouds, and the #1830 compensation/encoder audit and its retained lineage. Original notices are preserved.

Ross Richardson, with substantial OpenAI Codex assistance, including separate AI mathematical review contexts. This is not independent human or formal-kernel acceptance. Apache-2.0.