# C864 — Compare the restored common name graph

## Question

Does inserting the admitted Cainan equate the two measurements?

## Inputs

```json
{
  "MT_Cainan_interval": 130,
  "NT_slot": 70
}
```

## Sources

```json
[
  "C831 admitted Cainan insertion",
  "C862–863"
]
```

## Opened utc

2026-09-28T02:43:55.377378+00:00

## Results

```json
{
  "restored": {
    "path": "model/NT_MT_Cainan_restored.json",
    "sha256": "46441b0b41bf1df994edae7b66280d7656c4698f1b5e8a807042db4b5b176e53",
    "bytes": 4037
  },
  "local_edges": [
    {
      "from": "Arphaxad",
      "to": "Cainan",
      "NT": 70,
      "MT": 35
    },
    {
      "from": "Cainan",
      "to": "Shelah",
      "NT": 70,
      "MT": 130
    }
  ],
  "local_G": [
    1900,
    1865,
    1925
  ]
}
```

## Finding

Restoration yields the same 23-name graph but different edge weights: 70|70 in NT and 35|130 in restored MT. Topological alignment does not require equal durations.

## Reassessment

Transfer the Actual-to-Rounded residual theorem across the whole native comparison.

## Checks

```json
{
  "names": true,
  "NT_uniform": true,
  "local_MT": true,
  "net": true
}
```

## Closed utc

2026-09-28T02:43:55.377949+00:00

## Record provenance

Exact record hash: `58d487895dbd08301aa61e539d71286618c82441251659f4d478eae2f0c866a2`

Source journal: `Research_Cycles/C0832_C0931/journal.json`