# C1205 — Recover the baseline from branch-appropriate loss data

## Question

Do the three excesses and six ordinary residuals reconstruct the complete ledger?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1204"
]
```

## Opened utc

2026-09-28T05:26:15.110130+00:00

## Results

```json
{
  "recovery": {
    "path": "model/SP_composite_loss_recovery.json",
    "sha256": "0a7fb945140282fae094852f57bddd8f2ce60ab0bfaa766ad35a5618e246fa81",
    "bytes": 1119
  },
  "recovered": [
    930,
    912,
    905,
    910,
    895,
    962,
    365,
    969,
    777
  ]
}
```

## Finding

The declared register exactly recovers all nine baseline lives. This is an information-preserving enlargement of the cap-and-round construction, not an inverse of its output alone.

## Reassessment

Test whether the single total488 can replace the three located excesses.

## Checks

```json
{
  "exact_recovery": true,
  "nine_records": true
}
```

## Closed utc

2026-09-28T05:26:15.110563+00:00

## Record provenance

Exact record hash: `729f5b4f06ff8e9b30b903352cb9541ca555aba076308042d507b53bf0fc086f`

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