# C1165 — Compress the SP-to-LXX lifespan edge by its disjoint supports

## Question

Which part of the three-tradition pattern is common to every final-edge row?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1164",
  "C1154"
]
```

## Opened utc

2026-09-28T05:08:32.228741+00:00

## Results

```json
{
  "disjoint_life_pattern": {
    "path": "model/SP_LXX_disjoint_life_pattern.json",
    "sha256": "01a75dc646299050788ad3967c1ae427f21c540b567488b8b056b0edaedc0d64",
    "bytes": 865
  },
  "rank": 3,
  "source_total": 574
}
```

## Finding

The final lifespan edge is a disjoint4/2/2 pattern with amplitudes100,60,27. It explains a common regular birth path alongside a cumulative surplus574, with no need to assign a different birth transformation to each row.

## Reassessment

Determine how the pattern propagates through the complete cumulative path rather than just its total.

## Checks

```json
{
  "rank3": true,
  "total574": true,
  "nonnegative_values": true
}
```

## Closed utc

2026-09-28T05:08:32.229945+00:00

## Record provenance

Exact record hash: `77ef001a127d61cd306b0d7ff4aa0f34633290ff8f377b6ea073a66722e4846a`

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