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[p569] Verify height-4 second-implementation extension (independent re-run) - #742

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Issue #569 — height-4 extension of the degree-≤6 second implementation

This is an independent verification by compute1, not a fresh implementation of the height-4 census.

What the re-run confirmed

  • Re-ran scripts/degree6_independent_replication.py <id> --height 4 for all four frozen intervals.
  • Per-degree class sizes (all four intervals): [23, 265, 2639, 24913, 229703, 2093785], total 2,351,328 — matches the ticket expectation exactly.
  • All four intervals: excluded = True, screen_survivors_total = 0 (certified mean-value screen retains zero candidates at every degree).
  • Re-ran scripts/degree6_implementation_agreement.py: heights_compared = [3, 4], cells_compared = 48, cells_in_agreement = 48, implementations_agree = True; closest-member residual gap within mean-value allowance for every interval.

Honesty disclosure (required by the ticket)

The ticket's premise — that only the artifact field hardcodes HEIGHT and an outside caller must mechanically thread height, weakening the independent-author property — does not hold in the current main. On inspection:

  • scripts/degree6_independent_replication.py:288 already reports "coefficient_height_max": height (the parameter, not the HEIGHT constant); the whole module was already parameterized by height.
  • The height-4 artifacts for all four intervals (results/pslq-degree6-height4-{id}/ and results/pslq-degree6-height4-replication-{id}/) are already committed in main.
  • scripts/degree6_implementation_agreement.py already enumerates HEIGHT_DIRS = {3, 4}.

Therefore this caller did not edit the replication script. The height-4 extension was already present in main before this assignment. The independent-author property of the code-writing step is intact; this assignment is a verification, not an authorship change. Maintainers should reconcile this with the ticket's premise (the height-4 extension appears already completed in main).

Files added (no existing files modified)

  • notes/p569-degree6-height4-replication-verification.md
  • results/pslq-degree6-height4/p569-verification/{REPORT.md,metadata.json,commands.txt}

Full Matching-One repository CI has not been run for this commit.

…e-run)

Independent re-run by compute1 of the already-parameterized degree-≤6 second
implementation at height 4 across all four frozen intervals, plus the agreement
harness. Per-degree class sizes [23,265,2639,24913,229703,2093785], total
2,351,328; all four intervals excluded with 0 screen survivors; agreement
48/48 cells across heights 3 and 4.

Honesty disclosure: the height threading was already present in main and the
height-4 artifacts were already committed; this caller did not edit the
replication script. See notes/p569-degree6-height4-replication-verification.md.

Full Matching-One repository CI has not been run for this commit.
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