# C572 — Close the Actual-to-Rounded cumulative square

## Question

Does the J image followed by the source pair adjustment recover both Rounded endpoints?

## Inputs

```json
{
  "Actual": [
    14004,
    1446
  ],
  "Rounded": [
    14006,
    1406
  ],
  "pair_translation": 2
}
```

## Sources

```json
[
  "File63 §9.7; File51a; latest File52c"
]
```

## Opened utc

2026-09-28T00:17:33.798912+00:00

## Results

```json
{
  "Actual_span": 12558,
  "J_pair": [
    14004,
    1404
  ],
  "translated_pair": [
    14006,
    1406
  ],
  "span_gain": 42,
  "endpoint_change": [
    2,
    -40
  ]
}
```

## Finding

The Actual Creation–Exodus pair maps by anchored J to14004/1404, then by a declared+2 pair translation to Rounded Creation–Conquest14006/1406. This is an exact interface between differently typed endpoint pairs.

## Reassessment

Relate this pair interface to the separate12026 regular/cumulative bridge.

## Checks

```json
{
  "endpoints": true,
  "span_gain": true
}
```

## Closed utc

2026-09-28T00:17:33.799187+00:00

## Record provenance

Exact record hash: `aa16643fa36d3d74a12b53518ee1c1a8f7d239b1c2aeec8ae1d3633d309d8f7b`

Source journal: `Research_Cycles/C0532_C0631/journal.json`