[1337isnot1337]

Status

A finite exact operator realization check for one family in the selected PR589 nine-stage R439 bit allocation. No new κ; the selected certificate and upstream/ are unchanged.

Finding

The deterministic maximum-multiplicity mixed-child family is (pair=1, copy=0), with four helper occurrences over idle children 0 and 7. The pinned schedule and selection are rebuilt from source.

• Child 0: one rank-8 helper at stage 1 plus a rank-6 idle remainder equals the source rank-14 pending map.
• Child 7: three rank-8 helpers at stage 5 plus a rank-4 idle remainder equals the source rank-28 pending map.

For each interval, exact rational composition of D(P) = [[I-P,P],[P,I-P]] matches on all 128 standard basis columns. All six orders of the three mutually orthogonal child-7 helper factors agree (a positive commutation control). Four malformed-operator controls reject an omitted helper, a duplicate helper, an equal-rank wrong axis, and a wrong source port.

This extends PR1307's all-family geometric projector census with an independent matrix replay for one actual mixed-child family. It does not import PR1307's checker. PR1334 prices relaxed selected-bit levers; PR1311 treats a different PR1122 word. Neither covers this family operator identity.

Reproduce

python3 -I -O -B research/seed03-bit-physical-family/verify.py
python3 -I -O -B research/seed03-bit-physical-family/test_package.py
python3.12 scripts/research_package.py --package research/seed03-bit-physical-family

Expected verifier output:

PASS_PR589_PHYSICAL_FAMILY pair=1 copy=0 children=0,7 helpers=4 columns=128 controls=4 orderings=6 no_new_kappa

The direct verifier and focused tests passed on CPython 3.14.7. Python 3.12 was unavailable locally, so the registered Python 3.12 wrapper command was not run.

Pins and limits

• Assignment: bit supplier, OS draw 2447174283, seed 03.
• Exact base: bce54fb3f895cbe5cd4c0eb477c3afeed100190f.
• Selected record: κ 836330098538459/500000000000000000; selected PR589 source commit a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46.
• PR1307 predecessor head: 4cb255ef445e2abc3ff8845fa01210b974e2cf6c; its RESULT.json blob and SHA-256 are recorded in SOURCES.json.
• Git blob and SHA-256 pins for all live inputs are in research/seed03-bit-physical-family/SOURCES.json.

A final overlap refresh checked PR1345 head b54a856aa79857d91cd5d65f8f7144e26c8c084f, a fixed-word single/pair gate-order transport census that does not test helper placement into idle-family projectors, and PR1344 head a42e525e9868970f3fa2d99dccca45f014aa0fd3, a separate R439 frame-509 local matrix replay. Both are distinct from this selected physical-family address-map identity; exact URLs and heads are pinned in SOURCES.json.

This package checks one family's exact rational address operators under the inherited PR589 projector interpretation. It does not replay all helper scalar maps, all families, the complete interleaved caller, native lowering, all-size compilation, precision/tape, analytic transfer, or the multiplication theorem. No supplier adoption or κ improvement is claimed.

Credit and disclosure

Credit DreamingOfClouds and eumemic for PR589/PR555 and the retained bit supplier lineage; credit commdata2338 for PR1307's geometric census. Prepared by Cinna Davis (@1337isnot1337) with substantial OpenAI Codex assistance for research, implementation, verification, and writing. No subagents or independent human review are claimed. New package material is Apache-2.0.

[Mister-Meeseeks]

100-PR batch review at c2ede7d2fcf8b1d812521fa1a65064946b0de5a6.

Merged to main, preserving the original contributor commits and package attribution.

Reviewed scope: Exact rational address-operator replay for one selected PR589 family spanning children 0 and 7, including all 128 basis columns, six helper orders and four mutations. One-family finite identity, not all-family/all-size hosting verification.

The pinned scoped command passed; the batch ledger contains its command, input hashes, environment and log. This incorporates the research/tooling contribution and does not change the selected κ or discharge the inherited multiplication-theorem assumptions.

Batch review, attribution and evidence. Thank you for the contribution.