# C746 — Verify composition on the full shared genealogy

## Question

Do MT→SP→LXX comparisons compose node-by-node in both modes and the modebridge?

## Inputs

```json
{
  "shared_nodes": [
    "Adam",
    "Seth",
    "Enosh",
    "Kenan",
    "Mahalalel",
    "Jared",
    "Enoch",
    "Methuselah",
    "Lamech",
    "Noah",
    "Shem",
    "Arphaxad",
    "Shelah",
    "Eber",
    "Peleg",
    "Reu",
    "Serug",
    "Nahor",
    "Terah",
    "Abraham"
  ],
  "modes": [
    "R",
    "C_lower",
    "G"
  ],
  "excluded_from_shared_grid": "nativeLXX-onlyCainan retained in itsownpath"
}
```

## Sources

```json
[
  "C738–C745; Research Strategy §5D"
]
```

## Opened utc

2026-09-28T01:46:35.742370+00:00

## Results

```json
{
  "composition_residuals": {
    "R": [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "C_lower": [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "G": [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ]
  },
  "typed_comparisons": 60
}
```

## Finding

All60 typed shared-node comparisons compose exactly. This is consistency of a common source-coordinate representation, not independent confirmation from60matches. The native inserted row remains visible rather than being invented in the othertraditions.

## Reassessment

Test why matchingCreation totals alone cannot recover the ordered source structure.

## Checks

```json
{
  "all_zero": true,
  "coverage": true
}
```

## Closed utc

2026-09-28T01:46:35.742596+00:00

## Record provenance

Exact record hash: `6891f5aed69ba0035ea5911d4bd9075def94b214e1622ab960f61620c273baa6`

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