# C663 — Recover the cumulative first-to-last triple

## Question

Does the12075 correspondence apply to the whole supplied triple?

## Inputs

```json
{
  "creation": [
    14011,
    14004,
    13997
  ],
  "household": [
    1936,
    1929,
    1922
  ],
  "companion_role": "13997 source lower comparison node"
}
```

## Sources

```json
[
  "File70 §§1.4,5.8; A.13.1"
]
```

## Opened utc

2026-09-28T01:08:04.258801+00:00

## Results

```json
{
  "corresponding_spans": [
    12075,
    12075,
    12075
  ],
  "cross_matrix": [
    [
      12075,
      12082,
      12089
    ],
    [
      12068,
      12075,
      12082
    ],
    [
      12061,
      12068,
      12075
    ]
  ],
  "P_output": 12250,
  "175_coefficients": [
    69,
    70
  ]
}
```

## Finding

The supplied first-to-last triples form one7-year rail translated by12075. Its Prophetic conversion69→70 in175 units recovers12250, now within a complete coordinate family rather than an isolated duration.

## Reassessment

Fit Jacob’s147|490 biography and household boundary into the retained-path explanation.

## Checks

```json
{
  "all_three": true,
  "P": true,
  "anatomy": true
}
```

## Closed utc

2026-09-28T01:08:04.259107+00:00

## Record provenance

Exact record hash: `d625a36937a8aa68f064015a7f062f60ab5519646a7a91c2906c0c194117bbae`

Source journal: `Research_Cycles/C0632_C0731/journal.json`