# C1198 — State the residual information needed to recover an ordinary row

## Question

Which one additional coordinate resolves any remaining joint fibre?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1190–C1197"
]
```

## Opened utc

2026-09-28T05:24:59.378862+00:00

## Results

```json
{
  "recovery": {
    "path": "model/joint_rounding_residual_recovery.json",
    "sha256": "0783a2d7611a7e7908a1a1d4fd35ccb0353d9e71b1a0cffd1690be45463a06f5",
    "bytes": 4132
  },
  "rows": 55
}
```

## Finding

One exact residual per ambiguous row supplies what joint rounding removed. Singleton rows need no extra residual, but reading a stored source residual back is reconstruction, not a new discovery.

## Reassessment

Connect the joint fibre to the failure of separate rounding to preserve b+r=L.

## Checks

```json
{
  "all_recovered": true,
  "bounded": true
}
```

## Closed utc

2026-09-28T05:24:59.379523+00:00

## Record provenance

Exact record hash: `0dc6366f881466627b757cdf66d884c27ad0f190b17a616cfa0b1a3fa757db30`

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