# C940 — Classify the cumulative total without choosing its split

## Question

Does12600 force the same transformed total as2700?

## Inputs

```json
{
  "scaled_total": 1260
}
```

## Sources

```json
[
  "C938 fixed register"
]
```

## Opened utc

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

## Results

```json
{
  "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

```json
{
  "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`