# C1200 — Separate carry information from exact residual information

## Question

Can knowing the carry replace knowing the exact lifespan in joint recovery?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1199"
]
```

## Opened utc

2026-09-28T05:25:03.301412+00:00

## Results

```json
{
  "carry_information": {
    "path": "model/rounding_carry_information.json",
    "sha256": "92e6d16905b18c5ee3305c094f7ef6fc0af0339cb3dc69ba596d574bf7f12d12",
    "bytes": 365
  },
  "pair_counts": {
    "-5": 3,
    "0": 19,
    "5": 3
  }
}
```

## Finding

A carry stores only a branch: its three classes contain3,19 and3 residual pairs. Even an extreme carry leaves three possible exact decompositions when exact life is absent.

## Reassessment

Combine this result with the cap, which removes excess lifespan rather than a small rounding residual.

## Checks

```json
{
  "partition25": true,
  "counts": true
}
```

## Closed utc

2026-09-28T05:25:03.301807+00:00

## Record provenance

Exact record hash: `813eaaeffb6b87bd3fd12d69ccad203afa18ebae55aa133985fdb18b4f4b1464`

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