# C787 — Accumulate cumulative divergence behind equal births

## Question

What complete cumulative field accompanies the aligned SP/LXX birth suffix?

## Inputs

```json
{}
```

## Sources

```json
[
  "C743–744,C778; File18 lifespan rows"
]
```

## Opened utc

2026-09-28T02:03:24.362100+00:00

## Results

```json
{
  "field": {
    "path": "model/aligned_birth_divergence.json",
    "sha256": "aacfd29fd88f42ab72b7891609b9758e925732f16ba5f373eb0eb36f4a7cef4a",
    "bytes": 1802
  },
  "lifespan_differences": [
    0,
    0,
    27,
    0,
    27,
    100,
    100,
    100,
    100,
    60,
    60,
    0
  ],
  "cumulative_differences": [
    574,
    574,
    574,
    547,
    547,
    520,
    420,
    320,
    220,
    120,
    60,
    0
  ]
}
```

## Finding

The same twelve birth labels coexist with a cumulative difference rising to574 upstream. Death differences are the negative local lifespan changes; cumulative differences are their running sums. This is a complete example of what each representation retains or forgets.

## Reassessment

Test whether the aligned birth family survives row rounding.

## Checks

```json
{
  "head": true,
  "terminal": true,
  "recover_local": true
}
```

## Closed utc

2026-09-28T02:03:24.362934+00:00

## Record provenance

Exact record hash: `cbfed35dd249c4ee4bc08dc384ce2b8913a32a422e31bfad67a1d4881d35af06`

Source journal: `Research_Cycles/C0732_C0831/journal.json`