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C940 — Classify the cumulative total without choosing its split

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Study sequence: Actual–Rounded inverse junction and decimal carries (C932–C952) · Rounded inverse & manuscript spines

C940 — Classify the cumulative total without choosing its split

Question

Does12600 force the same transformed total as2700?

Inputs

{
  "scaled_total": 1260
}

Sources

[
  "C938 fixed register"
]

Opened utc

2026-09-28T03:38:22.647394+00:00

Results

{
  "branches": [
    {
      "aggregate": [
        11,
        15,
        10
      ],
      "transformed": 11610
    },
    {
      "aggregate": [
        12,
        5,
        10
      ],
      "transformed": 10620
    }
  ],
  "artifact": {
    "path": "model/cumulative_total_register_theorem.json",
    "sha256": "42af6707e19f66e32dd460e5e47a6ecd99fe9de8cba5d43f2233581bb8c126f2",
    "bytes": 381
  }
}

Finding

The same register class at cumulative total12600 has two possible aggregate branches, producing10620 or11610. Thus the regular result is forced by total and register; cumulative convergence still selects one decimal-carry branch.

Reassessment

Identify the exact additional condition selected by the source cumulative breakpoint.

Checks

{
  "two": true,
  "gap": true
}

Closed utc

2026-09-28T03:38:22.647963+00:00

Record provenance

Exact record hash: 57467b01558040540cf1031f163da9d8879f93755b72145d919f77f1d0b91cc9

Source journal: Research_Cycles/C0932_C1131/journal.json

Linked sources and evidence

Edition and provenance

C940.md

SHA-256 1d27317ed5cbc8b3f2f7ae471b565788a4c131fe55986c02060bf6b9976d11c0

C480–C1634/Research_Cycles/C0932_C1131/journal.json#C940