# C981 — Cap support explains the rounding residual

## Question

Where does the inherited SP rounding difference of+3 arise?

## Inputs

```json
{}
```

## Sources

```json
[
  "C953",
  "C956",
  "C978",
  "C749–C770"
]
```

## Opened utc

2026-09-28T03:51:29.726627+00:00

## Results

```json
{
  "residual_difference_by_row": [
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    -1,
    4
  ],
  "total_residual_difference": 3,
  "cumulative_total_comparison": [
    -608,
    -605
  ]
}
```

## Finding

The changed rows contribute0,−1,+4, yielding the established+3 residual difference. The cap now explains its support;−608→−605 remains a dependent total.

## Reassessment

Classify the cap’s information loss alongside invertible frame changes.

## Checks

```json
{
  "support_values": true,
  "total": true
}
```

## Closed utc

2026-09-28T03:51:29.726926+00:00

## Record provenance

Exact record hash: `2ce3085533901c1458691deaff57ccfae76c512330e8cbac015bd998e5387885`

Source journal: `Research_Cycles/C0932_C1131/journal.json`