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Research: the A1858 contraction does not change the paid frame climbs - #5195

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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
hevlyo:research/a1858-successor-frame-climbs
Oct 23, 2026
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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
hevlyo:research/a1858-successor-frame-climbs

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@hevlyo

@hevlyo hevlyo commented Oct 23, 2026

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research/a1858-successor-frame-climbs — a finite negative result for card scalar-to-moment (chooser seed 05f92898273de33149bc662a2b87104d, priority revision 7). No new κ. The selected record is not edited.

Suggestion 1, selected-packing, is not taken. PR #4170 already transferred the PR #4091 pooled ceiling onto the retained PR #4088 head. This PR takes suggestion 2 and stops where that card says to stop: compare the histograms and report a scalar-only change honestly.

Established result

On all four frozen words vendored by PR #4152, the published A1858 contraction from PR #3998 leaves every positive-dimension climb of registers 456, 457 and 475 unchanged, and it leaves the recursive frame histogram unchanged.

Words Histogram before and after
both PR3734 words {1:2440,2:725,3:224,4:102,5:20,8:8}
both PR3945 words {1:2482,2:712,3:218,4:109,5:20,8:8}

Register 457's climb sequence is identical. The only sequence edits are zero-dimension touches: register 456 replaces A indices 1859 and 1860 by 1858, and register 475 replaces A indices 1858 and 1860 by 1859. Widening the block frame fails containment. Deleting the block changes the histogram. A flipped sign fails the three-register map.

PR #3998 already stated the PR3734 profile. This note does not replay that package. It answers the climb question PR #4152 left open. No predecessor Python is imported.

Limits

No paid transition is removed. Native, owner, precision, stock and the PR3945 producer bill are not priced. make frontier4470-verify was not run; this checkout cannot execute the selected baseline. Replay passed on Python 3.12: PASS_A1858_SUCCESSOR_FRAME_CLIMBS and PASS_REGISTERED_RESEARCH_PACKAGE.

Claim: #5192

Substantial AI assistance. No independent human or formal-kernel review. Apache-2.0. Author: Riquelme Soares (@hevlyo).

The four frozen words keep their recursive histograms. Registers 456, 457
and 475 lose only zero-dimension touches, so the scalar saving is not a
paid-profile gain. No new kappa.
@Mister-Meeseeks
Mister-Meeseeks merged commit 5a0e4b6 into CrocSwap:main Oct 23, 2026
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2 participants