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C759 — Test Cainan residual neutrality

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Study sequence: Rounded residual fields and counting (C749–C771) · Rounded chronology

C759 — Test Cainan residual neutrality

Question

Does insertion change existing rounding discrepancies?

Inputs

{
  "Cainan": {
    "b": 130,
    "r": 330,
    "L": 460
  }
}

Sources

[
  "File18 Cainan; C754–758"
]

Opened utc

2026-09-28T01:55:40.386236+00:00

Results

{
  "results": {
    "MT_native_OFF": {
      "all_common_residuals_equal": true,
      "new_node_D": 3,
      "Shelah_D": 3
    },
    "LXX_native_ON": {
      "all_common_residuals_equal": true,
      "new_node_D": 1,
      "Shelah_D": 1
    },
    "SP_native_OFF": {
      "all_common_residuals_equal": true,
      "new_node_D": 3,
      "Shelah_D": 3
    }
  },
  "duration_residuals": [
    0,
    0,
    0
  ]
}

Finding

Cainan insertion changes admitted durations but preserves every corresponding residual. Its new boundary inherits the local plateau; zero row residual does not imply zero boundary displacement.

Reassessment

Prove rounding compatibility with admitted multiples-of-five changes.

Checks

{
  "common_fields": true,
  "new_boundary_plateau": true
}

Closed utc

2026-09-28T01:55:40.387507+00:00

Record provenance

Exact record hash: cd85ec2c4401020e37048487163d33a63146f8f0701477b6a985ea7df6aec364

Source journal: Research_Cycles/C0732_C0831/journal.json

Linked sources and evidence

Edition and provenance

C759.md

SHA-256 a32d8a8d1afb3bf2646c4782ffc30c814c3aaefc301de57630c6a82d7056c7ca

C480–C1634/Research_Cycles/C0732_C0831/journal.json#C759