# C678 — Derive the nested25|35|35|25 field

## Question

What follows once the source70 and120 bodies share center2911?

## Inputs

```json
{
  "center": 2911,
  "outer_width": 120,
  "Enoch_width": 70,
  "source_Enoch": [
    2946,
    2876
  ]
}
```

## Sources

```json
[
  "Supplement A §4.5"
]
```

## Opened utc

2026-09-28T01:11:43.642567+00:00

## Results

```json
{
  "nodes": [
    2971,
    2946,
    2911,
    2876,
    2851
  ],
  "gaps": [
    25,
    35,
    35,
    25
  ],
  "margin": 25,
  "Key_decomposition": [
    25,
    35,
    35,
    25
  ]
}
```

## Finding

The two source widths and their common center force25|35|35|25. Each35 is P(34.5), each25 is E(23), but their sum is a retained-component construction rather than a newly defined whole120 Key image.

## Reassessment

Distinguish the source’s scalar1470 closure from its coordinate1475 envelope.

## Checks

```json
{
  "source_Enoch": true,
  "gaps": true,
  "keys": true
}
```

## Closed utc

2026-09-28T01:11:43.642795+00:00

## Record provenance

Exact record hash: `6a61820ebb7e0772f460ab3438ba227612a57983e352c71197f9ccf96669d696`

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