# C681 — Complete the conserved-center2940 corridor

## Question

What invariant joins all three source-selected outer endpoint pairs?

## Inputs

```json
{
  "pairs": [
    [
      4326,
      1416
    ],
    [
      4336,
      1406
    ],
    [
      4341,
      1401
    ]
  ],
  "final_outward_displacement": 5,
  "source_local_components": [
    2,
    3
  ]
}
```

## Sources

```json
[
  "Supplement A §5.1"
]
```

## Opened utc

2026-09-28T01:12:24.068500+00:00

## Results

```json
{
  "endpoint_sums": [
    5742,
    5742,
    5742
  ],
  "centers": [
    2871,
    2871,
    2871
  ],
  "widths": [
    2910,
    2930,
    2940
  ],
  "width_increments": [
    20,
    10
  ]
}
```

## Finding

Opposed endpoint changes preserve U+L=5742 while widening2910→2930→2940. The final five-year displacement is the source’s local2+3 construction; it supplies generated extremities4341/1401, not new canonical Creation/Conquest anchors or upstream Gear permission.

## Reassessment

Express translation and symmetric opening in center/width coordinates.

## Checks

```json
{
  "conservation": true,
  "widths": true,
  "increments": true
}
```

## Closed utc

2026-09-28T01:12:24.068917+00:00

## Record provenance

Exact record hash: `d32d88df01582cdc941379c82608f496ef61a931430306f6dc332bed2584b4d9`

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