# C743 — Recover the shared Cainan-ON birthsuffix

## Question

Does theadmittedSP insertion align the completeNoah-to-Abraham birthpath with nativeLXX?

## Inputs

```json
{
  "names": [
    "Noah",
    "Shem",
    "Arphaxad",
    "Cainan2",
    "Shelah",
    "Eber",
    "Peleg",
    "Reu",
    "Serug",
    "Nahor",
    "Terah",
    "Abraham"
  ],
  "SP_regular_insertion": 130,
  "scope": "single source-authorized insertion aboveShelah; noGeartransport"
}
```

## Sources

```json
[
  "File18 Cainan restoration§1.3; §§3–4; C742"
]
```

## Opened utc

2026-09-28T01:45:24.565074+00:00

## Results

```json
{
  "SP_ON_births": [
    3838,
    3336,
    3236,
    3101,
    2971,
    2841,
    2707,
    2577,
    2445,
    2315,
    2236,
    2166
  ],
  "native_LXX_births": [
    3838,
    3336,
    3236,
    3101,
    2971,
    2841,
    2707,
    2577,
    2445,
    2315,
    2236,
    2166
  ],
  "all_differences": [
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0
  ]
}
```

## Finding

The single admittedSPCainan insertion aligns every one of the12Noah-to-Abraham birthpositions with nativeLXX. This is a whole-path agreement produced by shared downstream begetting rows and the inserted130 interval, while the source lifespans remain different.

## Reassessment

Compare deaths across the newly shared birthpath to identify exactly what the agreementdoesnotpreserve.

## Checks

```json
{
  "whole_path": true,
  "positions": true,
  "insertion_edge": true
}
```

## Closed utc

2026-09-28T01:45:24.566189+00:00

## Record provenance

Exact record hash: `ccc452851ee97c8b25f66fb7e3af3a077ec76b7a85a8861b4b322b537eeb0312`

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