# C1067 — Uniform Key measurements add no lost digit information

## Question

Do E/P/J images of the reversed total enlarge the aggregate measurement rank?

## Inputs

```json
{}
```

## Sources

```json
[
  "C943–C945",
  "C1066"
]
```

## Opened utc

2026-09-28T04:11:47.353937+00:00

## Results

```json
{
  "measurement_rank": 2,
  "kernel": [
    [
      1,
      "-101/10",
      1
    ]
  ],
  "row_count": 5,
  "qualification": "bounded integer aggregate recovery still holds; component allocation remains lost"
}
```

## Finding

Adding uniform Key outputs supplies scalar multiples of an existing measurement. It restores neither aggregate information beyond the two totals nor the hidden allocation among source components.

## Reassessment

Classify all completed-path interface claims by dependency type.

## Checks

```json
{
  "rank_unchanged": true,
  "row_count": true,
  "kernel_direction": true
}
```

## Closed utc

2026-09-28T04:11:47.354707+00:00

## Record provenance

Exact record hash: `fec3a7bca6baa102263bb931bf70d373528a952d1374c6246513addcfb770c4a`

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