# C1212 — Write the cap-and-round information bridge

## Question

How can the two operations agree forward while remaining non-invertible?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1202–C1211",
  "C1143"
]
```

## Opened utc

2026-09-28T05:27:57.347957+00:00

## Results

```json
{
  "explanation": {
    "path": "deliverables/Cap_and_Round_Information.md",
    "sha256": "228c06a4b52ef3e54734d8e061292c124824d661fc306bc2a2d662d7cbd03a80",
    "bytes": 1893
  }
}
```

## Finding

The cap-to-Rounded interface now has both a forward rule and an exact account of its lost information. This completes the bounded information analysis and returns attention to source mechanisms feeding larger chronology relations.

## Reassessment

Check which whole-genealogy row operations are preserved by nearest-five rounding.

## Checks

```json
{
  "capacity_table": true,
  "source_counts": true,
  "stages": true
}
```

## Closed utc

2026-09-28T05:27:57.348286+00:00

## Record provenance

Exact record hash: `23f31a596d3140b7457f466f5e0945cde16b8f82ed365ace16d05d9026eb4241`

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