# C867 — Classify P and the complete shared-return fork

## Question

What singles out the finite Enoch fork without endpoint selection?

## Inputs

```json
{
  "P": "70/69",
  "domain": "r=0,...,76"
}
```

## Sources

```json
[
  "C866",
  "File43 display",
  "File54 §6"
]
```

## Opened utc

2026-09-28T02:44:37.253638+00:00

## Results

```json
{
  "returns": [
    {
      "r": 0,
      "image_r": 0,
      "source": "Jesus",
      "image": "Jesus",
      "source_BC": 6,
      "image_BC": 6
    },
    {
      "r": 69,
      "image_r": 70,
      "source": "Enoch",
      "image": "Jared",
      "source_BC": 4836,
      "image_BC": 4906
    }
  ],
  "joint_source_indices": [
    0,
    69
  ],
  "artifact": {
    "path": "model/NT_P_returns.json",
    "sha256": "57e7e768f128f3bde28682375c60890d81a29710cb6f03a930ac9d45c0306761",
    "bytes": 255
  }
}
```

## Finding

P returns exactly at multiples of69. On the complete r0–76 domain, Enoch at69 is the only nonzero source returning under both E and P, because lcm(23,69)=69. This is a dependent domain classification, not a probability result.

## Reassessment

Transport the full indexed result to the admitted 36BC rail.

## Checks

```json
{
  "P_domain": true,
  "joint": true,
  "Enoch_to_Jared": true
}
```

## Closed utc

2026-09-28T02:44:37.254442+00:00

## Record provenance

Exact record hash: `7a8edf503220bac4fa6cc2071be672264bd6651a5a7455709612072580b155c4`

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