[ToikY]

Change and mathematical scope

NO VERIFIED GAIN. Exact conditional κ change 0%. The 197 exclusively owned scalar contacts of exact #7277 form 138 components. Twenty carry paid incidences. Combining parallel incidences gives trees. The proof minimizes a directed lower tariff over arbitrary independent chart labels with fixed scalar chronology, role incidences, mixed/public contacts, public endpoints and the complete signed 17-copy caller.

The independent histogram pass resolves all 6,100 directed comparisons. The original paid histogram is optimal in each paid component, so the total saving upper at the incumbent crossing probe is exactly zero. The complete margin remains strictly negative. All 138 components were resolved. The comparable κ remains 0.003645669928698.

Task and overlap

Changed p104-side-correction scope at canonical base e545235. #5590 prices arbitrary paths between fixed scalar contact labels on #5580. #5140 bounds a different monotone owned wire, #5144 screens shared maps on that earlier nonmonotone source, and #6293 establishes the tensor-width phase convention. This package prices simultaneous independent labels of the owned contacts on #7277. The branch inherits the two exact #7257 CI prerequisites and adds one research package.

Validation

From a clean checkout with CPython 3.12 and assertions:

python3.12 -B scripts/research_package.py --package research/p104-owned-contact-tree-bound
python3.12 -B scripts/check_research_commit.py --package research/p104-owned-contact-tree-bound --check-modes --check-source-history
python3.12 -B -m unittest discover -s tests -p test_research_current_status.py

The registered and Git-free replays authenticate the exact caller, invoice and compact projection, verify both tree-cost calculations and full signed price, and reject cycle and parallel-edge controls. The separate pinned public word command reconstructs all 137,891 literal role edges, the projection and the complete invoice. All passed. The source reconstruction, notices and receipts are in the package. No new physical supplier was built.

Credit and open next question

#7277 supplies the native word and complete invoice, #7113 the signed caller, #5590 and #5140 the chart metric and relative rank bounds, #5144 the related nonmonotone scope, and #6293 the phase convention. #7257 supplies the CI prerequisite. OpenAI Codex and subagents materially assisted the proof, implementation and independent audit.

Changing scalar chronology, coupling public and owned contacts or changing role incidence requires a separate whole-invoice price. The next gate prices the stock of commuting scalar contacts before choosing a site.