# C1227 — Audit the wrapper contribution to equal gains

## Question

Does the equality follow from the two genealogical endpoints before their wrappers are applied?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1223–C1226"
]
```

## Opened utc

2026-09-28T05:33:48.529777+00:00

## Results

```json
{
  "wrapper_audit": {
    "path": "model/SP_rectangle_wrapper_residual.json",
    "sha256": "9e3470448d64f0c911e014dd204e25ae4d7bc479ae9e914445477ab1967f3468",
    "bytes": 353
  },
  "unwrapped_balance": 61,
  "wrapper_balance": -61
}
```

## Finding

Before the wrappers, the equal-gain balance is61 rather than zero. The distinct+7 and+10 source openings contribute−61 and complete the equality. The cap mechanism explains the life reduction but does not independently generate the chosen node roles.

## Reassessment

Test whether the equal-gain claim is stable under a common relocation of its target anchor.

## Checks

```json
{
  "raw61": true,
  "wrapper_minus61": true,
  "gain_difference": true
}
```

## Closed utc

2026-09-28T05:33:48.530212+00:00

## Record provenance

Exact record hash: `703f24cd45c0f40a3488717df979e79f4441be88ced251ed999dcbffbb0c9eb9`

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