# C1278 — Recover the whole exact Moses field from the Rounded field

## Question

Do accumulatedrowresiduals retain everyintermediate coordinate?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1277",
  "C1234"
]
```

## Opened utc

2026-09-28T05:59:58.768804+00:00

## Results

```json
{
  "whole_field_recovery": {
    "path": "model/Moses_complete_residual_recovery.json",
    "sha256": "6e6ac50f823898352efd4b6313348899dfbc8f55e8fda1a51a04c975336db550",
    "bytes": 4249
  },
  "nodes": 25,
  "head_residual": 6
}
```

## Finding

All25 exactcoordinates are recovered fromtheir Roundedcoordinates andthelocated residualsums. Thehead residual6 staysun-normalized, preserving thepublished4106 Roundedhead while recoveringstrict4112.

## Reassessment

Write thegenealogy-to-inverse bridge withitsoperationorder andsource-roleconstraints.

## Checks

```json
{
  "all25": true,
  "all_recovered": true,
  "head6": true
}
```

## Closed utc

2026-09-28T05:59:58.770216+00:00

## Record provenance

Exact record hash: `c3e225ca05688f0f3a1d89f692cf58d9b1809db67ae1ef28979439cc7a1dc30b`

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