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C1227 — Audit the wrapper contribution to equal gains

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Study sequence: Source rows to the SP equal-gain rectangle (C1223–C1231) · Regular & Cumulative

C1227 — Audit the wrapper contribution to equal gains

Question

Does the equality follow from the two genealogical endpoints before their wrappers are applied?

Inputs

{}

Sources

[
  "C1223–C1226"
]

Opened utc

2026-09-28T05:33:48.529777+00:00

Results

{
  "wrapper_audit": {
    "path": "model/SP_rectangle_wrapper_residual.json",
    "sha256": "9e3470448d64f0c911e014dd204e25ae4d7bc479ae9e914445477ab1967f3468",
    "bytes": 353
  },
  "unwrapped_balance": 61,
  "wrapper_balance": -61
}

Finding

Before the wrappers, the equal-gain balance is61 rather than zero. The distinct+7 and+10 source openings contribute−61 and complete the equality. The cap mechanism explains the life reduction but does not independently generate the chosen node roles.

Reassessment

Test whether the equal-gain claim is stable under a common relocation of its target anchor.

Checks

{
  "raw61": true,
  "wrapper_minus61": true,
  "gain_difference": true
}

Closed utc

2026-09-28T05:33:48.530212+00:00

Record provenance

Exact record hash: 703f24cd45c0f40a3488717df979e79f4441be88ced251ed999dcbffbb0c9eb9

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json

Linked sources and evidence

Edition and provenance

C1227.md

SHA-256 30d901d95ce6bd4202f41034c5cd3cb8888910cba5917a0fb5af66b07c18edef

C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1227