# C514 — Preserved midpoint versus external role agreement

## Question

Which Abraham–Moses relationships are automatic under the common map?

## Inputs

```json
{
  "inverse_Abraham": 2076,
  "affliction": 1846,
  "inverse_Moses": 1616,
  "adopted_Moses_birth": 1526,
  "Entry_Exodus_Conquest": [
    1876,
    1446,
    1406
  ]
}
```

## Sources

```json
[
  "File52c §§3.7.2,3.10"
]
```

## Opened utc

2026-09-27T22:48:39.662054+00:00

## Results

```json
{
  "original_equal_gaps": [
    230,
    230
  ],
  "transformed_triple": [
    976,
    726,
    476
  ],
  "transformed_equal_gaps": [
    250,
    250
  ],
  "mixed_original_generated_Moses_midpoint": 1526,
  "Entry_to_generated_Abraham_partition": [
    430,
    40,
    430
  ]
}
```

## Finding

The230+230 midpoint becomes250+250 automatically. By contrast, the agreement of726 with the schematic Samaria role and of the mixed2076/976 midpoint with adopted Moses1526 uses additional source roles. The430|40|430 partition likewise uses externally supplied anchors.

## Reassessment

Reconstruct Shem’s whole partition to distinguish two-anchor presentations of the same family.

## Checks

```json
{
  "affine_midpoint": true,
  "mixed_midpoint": true,
  "partition": true
}
```

## Closed utc

2026-09-27T22:48:39.662347+00:00

## Record provenance

Exact record hash: `1f0c4cbad20a645d1088808d7d9fe24b7570c878929b4fd0333274dd46f5167d`

Source journal: `Research_Cycles/C0482_C0531/journal.json`