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

{}

Sources

[
  "C943–C945",
  "C1066"
]

Opened utc

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

Results

{
  "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

{
  "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