# C1364 — Write the cap information supplement

## Question

How do clipping and rounding discard different source information?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1139–C1151",
  "C1203–C1211"
]
```

## Opened utc

2026-09-28T06:36:04.814404+00:00

## Results

```json
{
  "artifact": {
    "path": "draft/technical_03_cap.md",
    "sha256": "b39f47f6cf6bea6488b9bca2a0d60cee758c92486f9ee170c164ea91562e155b",
    "bytes": 1839
  },
  "words": 265
}
```

## Finding

The cap supplement separates discarded excess from rounding residual and states exactly when a reduction remains visible.

## Reassessment

Move the inverse register proof into the technical companion.

## Checks

```json
{
  "nonempty": true,
  "rounded_loss": true
}
```

## Closed utc

2026-09-28T06:36:04.815251+00:00

## Record provenance

Exact record hash: `3182d6448e4bf95747e8ec1ed2d786f2779357bc0790af5b0dc3f0c34c159137`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`