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Research: staged544 helpers 600 and 601 are not signed-proportional - #4061

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hevlyo:research/staged544-helper600-sign-columns
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hevlyo wants to merge 1 commit into
CrocSwap:mainfrom
hevlyo:research/staged544-helper600-sign-columns

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@hevlyo hevlyo commented Oct 19, 2026

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Result

Negative result, no new kappa. On both frozen PR3945 words, the frame-(45,) consumer columns of helpers 600 and 601 are neither equal nor opposite.

In consumer order 123, 175, 183, 202 the signs are (-1, +1, +1, -1) and (+1, +1, +1, +1). The same one-sign split holds for every pair among helpers 600, 601, 602 and 604. A same-frame signed capture, the transfer suggested for this alphabet, does not apply. One control flips the two disagreeing entries and the checker then accepts the match.

This is the unclaimed test named in discussion 1166 comment 19038903. It does not rerun the #4045 support obstruction or the #4048 H6 lattice. Claim: #4060.

Scope

The drawn card was p104-side-correction (chooser seed fb1b693e95073cda2220efd59e654728, priority revision 6, base 20ecf2891d80b5acf18d980b2164fb44ea7faa90). Flag 0 chronology is already open in #3915, #3669 and #3683, so that scan was not repeated. The ideal rank-16 ceiling already clears 5%, and idle repacking is a scope-change trigger of the rank-shape card.

Package: research/staged544-helper600-sign-columns. Only that directory changes. Selected record SHA-256 bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129 is unchanged.

Evidence

python3.12 -B scripts/research_package.py --package research/staged544-helper600-sign-columns

Expected marker: PASS_STAGED544_HELPER600_SIGN_COLUMNS. Local Python 3.12 replay passed. The selected baseline was not run: this partial checkout cannot import the frontier1094 assembly roots.

Limits

No capture, retimed provider, partial-merge price, supplier, or frontier change. Adds that write these helpers are productions, not consumer columns. Substantial AI assistance; no independent human review claimed. Apache-2.0.

Open next question

Can a capture that merges only the agreeing consumers 175 and 183, while keeping 123 and 202, reduce the complete bill? Both helpers would remain. The first step is to price that partial map, including cleanup, against the 0.03825 allowance in #4045.

Their frame-(45,) consumer columns disagree on two of four consumers, so a same-frame signed capture does not transfer to this group.
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