[JoyboyBrian]

The pinned R437 original numerical entry rejects the established one-factor NODE stock 9475 A^D. This package builds an isolated opt-in function copy replacing exactly that stock-predicate call, verifies every other source AST statement is unchanged, and exercises a genuine q127 original root (e=n=128, h=0, w=2, D=2). The minimal guard-model stock 9475 A² reaches the continuation; the original entry rejects it. Both entries accept the old (9475 A)² domain, with receipts differing only in the row multiplier. Sixteen negative cases reject before continuation.

Only research/r437-sharp-stock-entry/ is added. The default function and frozen backend stay unchanged. This is host root-parameter validation, not a binary Count/Program handoff, complete payload, encoded tariff, supplier admission or new κ. The inherited numerical_admitted receipt means the source's parameter guards passed. The 128→84→42 example is explicitly an abstract rank-ceiling path, not this rank-2 source's actual Program.

Prior work is retained: Nick Petalas/PR3246's one-factor invariant, Tekalign/PR3264's ordinary adapter, Mihir Srivastava/PR4685's arithmetic checker, and codyw912/PR4734's exact ordinal-count adapter and prior q127 metadata handoff. This PR claims neither new stock mathematics nor first q127 metadata admission. PR4732/4741 provide the root/ingress and source-projection lineage; Chris R/Clear1nsight/PR4176 supplies original certified entry/source contracts. All retained adapter bytes and 401 live input paths are authenticated; the historical selected-record projection and adapter identity limits are explicit.

Validation on commit 5dba1acc2ef67e65e6a40e963f727b01edc5e132, Python 3.12.2, macOS/Darwin 27 arm64:

• Registered normal/optimized replay passed. Final committed normal/optimized Git-free cold replay passed in 9.813/9.749 seconds, using separate empty bytecode-cache paths and no Git directory.
• Source-history and committed-byte preflight passed for 410 files, requiring only canonical base b58ad9ef4d4e861b0eaa5dba41742bdc072dca51 in publication ancestry. Export integrity passed; all 411 extracted files remain unchanged after restoration.
• Mutated retained code and live caller input reject before import; a single RESULT boolean changed to integer 1 rejects under typed JSON receipt comparison. Peak RSS in registered replay was about 377 MB.
• Changed-package planner selects only this package. Lead-agent source/claim review found no blocker. This is author/agent checked evidence, not independent human or kernel proof. No Lean, Docker, full historic suite or hosted-CI pass is claimed.

Submission overlap was searched offline against the complete 19:10 UTC cache: 512 open PRs, 3673 Discussion records and 5860 base local notes. Targeted R437/stock/entry and card searches found credited predecessors and the two coordinated claims, with no new matching entry replacement found. This is not a novelty certificate; closed PR bodies, arbitrary code diffs and historical states are not exhaustive. Live heads rechecked unchanged: PR4685 ca336bd72aff54e025a8ddbb1f3c8b756d9b9631, PR4734 4c1a746590ec97fa84537da43dc662775a5b72e7, PR4741 4e87d59fa173ae5a3ebf7106ce03f43f14d9065c, PR4732 1d5ab443e74bad0e28f248657706399374ea97a5.

Canonical claim and handoff. Next useful work binds this sharper root parameter certificate to actual binary Count/Program ports and pays the encoded guard/ordinal/payload costs. The selected conditional κ remains 0.00302015.

Brian (JoyboyBrian), with substantial OpenAI Codex assistance; Apache-2.0. The package preserves the credited R437/compiler/caller/codebook lineage and original notices.

Submission checkpoint: canonical main was fetched again and remains b58ad9ef4d4e861b0eaa5dba41742bdc072dca51, priority revision 7. The refreshed complete inventory (2026-10-22 19:10:08 UTC) covers 512 open PRs, 3,673 Discussion records and 5,860 base local notes. Scoped search and live predecessor heads were rechecked; no competing result was identified in this stated coverage. Closed PR diffs, arbitrary nested code and unpublished work remain outside it.