# C1061 — Two apparent branch checks are equivalent

## Question

Do inverse convergence and integral E completion add independent constraints here?

## Inputs

```json
{
  "derived_branches": [
    10620,
    11610
  ],
  "original_tail": 1400
}
```

## Sources

```json
[
  "C940",
  "C952",
  "C1059"
]
```

## Opened utc

2026-09-28T04:09:56.889548+00:00

## Results

```json
{
  "branches": [
    {
      "inverse_radius": 10620,
      "completed": 14720,
      "residue23": 0,
      "E_image": 16000,
      "converges": true,
      "integral": true
    },
    {
      "inverse_radius": 11610,
      "completed": 15710,
      "residue23": 1,
      "E_image": "392750/23",
      "converges": false,
      "integral": false
    }
  ],
  "branch_displacement_mod23": 1,
  "scope": "equivalence only in the fixed two-branch register domain"
}
```

## Finding

With the same original tail retained, convergence and integral E completion select the same cumulative branch. They are equivalent checks within this domain, not independent confirmations.

## Reassessment

Transfer calendar calibration while retaining the source’s licensed E route.

## Checks

```json
{
  "same_selector": true,
  "tail_provenance": true,
  "residues": true
}
```

## Closed utc

2026-09-28T04:09:56.889853+00:00

## Record provenance

Exact record hash: `d3521b308b747921aba4033fe2f18a1ccec317dd68608573b08bf0c008cf6a2a`

Source journal: `Research_Cycles/C0932_C1131/journal.json`