Independently validate κ = 0.003026674765 and the eight-relation price plane

research/price-plane-independent-validation/.gitattributes

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research/price-plane-independent-validation/HANDOFF.md

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+HANDOFF
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+**Research discussion / PR / artifact:** Independent validation package `research/price-plane-independent-validation`; [current public review claim](https://github.com/CrocSwap/integer-mult-bounds/pull/5387#issuecomment-6374985927). This package is local until root publishes its committed branch. Operational drafts and publication receipts are in `outputs/price-plane-validation-package-20261024` at the coordinating workspace.
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+**Exact commit:** Sources: reviewed PR5387 `b1ab650d36f59e5be682a813145b7c67e219e341`; comparator PR5383 `4bd6efa51a495a7c7b7754915cf0244e7e60969e`; canonical base/source parent `1ec1119972c9aefe42525172d07b332fcff81cb4`. Root records the exact package publication commit separately from those source commits.
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+**What is established:** Independent source-bound physical/census/precision/stock/tape/exact-funding gates admit strongest independently validated conditional point in this frozen round, κ=.003026674765. Complete bill 64,148 paid / 10,800 productive, surplus 752. Unique fixed-profile crossing strictly within (.00302667476807, .00302667476808), with full domain derivative/away proof. One actual frozen PR5387 author registered pair passes in 140.030862 s / 223,576 KiB, 44 controls, 20,535 unchanged files. Own registered independent normal/optimized pair passed in 128.740804 s, 224,952 KiB peak, exit 0, empty stderr, 178 package + 174 shared guarded inputs unchanged. The package independently reruns both physical words, full literal invoices/chronologies, scalar preparation and exact numeric funding; all stable fields must match, with explicit source/credit/semantic controls. The same five framework assumptions remain, and selected metadata is unchanged.
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+**What remains uncertain:** Generic native/all-column, owned-erasure, compiler, precision/tape and analytic-recovery foundations remain conditional. Source phase lowering and ordinary BIT are authenticated inherited foundations. No own PR5383 author cold pair, emitted enormous compiler word, unconditional/formal-kernel theorem, independent human acceptance or global construction optimum is claimed. Hosted CI and maintainer selection require separate evidence. Original historical reports retain their then-open gates; final joined records supersede those stages without rewriting them.
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+**Smallest useful next task:** Root reviews exact final package/export receipts, refreshes live source/head/guidance/overlap through the sole feed, publishes the focused independent validation PR and records public CI. New physical-profile research needs a changed literal witness and complete invoice; do not infer physical coverage from histogram equality or repeat the author cold pair.
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+**Reproduction command and expected runtime:** `python3 -B scripts/research_package.py --package research/price-plane-independent-validation` runs normal/optimized independent checks with 240 seconds per mode and roughly 70 seconds per mode expected. Git-free direct: `python3 -I -B research/price-plane-independent-validation/verify.py`; optimized direct adds `-O`. Add `--integrity-only` for source/receipt authentication without mathematics. Frozen assertion-based census/precision checks are explicitly compiled with optimize=0 in both modes. Actual package results and resource guard are in RESULT.json/evidence/package-run; complete actual author cold records remain separately in frozen/09-capsule-cold.
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+**Predecessor credit:** Ali Romman #5377 one-relation predecessor and #5383 eight-relation mechanism; Dugongue #5387 refinement and changed witness; Cao Yifan #4610; Cinna Davis controller/helpers; zxv native/cache/compiler/precision; Jacob Alan Sussman recursion; Chris R/Clear1nsight #5241/#5384 and this independent review; ToikY, Tekalign, Douglas Colkitt and all exact retained native/Clifford/BIT/precision/analytic/recovery source notices. Substantial OpenAI Codex assistance; Apache-2.0. No construction authorship or independent human acceptance claimed.

research/price-plane-independent-validation/NOTICE.md

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+New independent review by Chris R / Clear1nsight with substantial OpenAI Codex assistance; Apache-2.0. Ali Romman owns #5377/#5383 construction; Dugongue owns #5387 completion-reserve refinement and distinct literal witness. Retain Cao Yifan, Cinna Davis, zxv, Jacob Alan Sussman, ToikY, Tekalign, Douglas Colkitt and all exact frozen source notices. No independent human review is claimed.