# C836 — Test whether the margins determine the ledger

## Question

Can preserved category/species totals recover every internal cell?

## Inputs

```json
{}
```

## Sources

```json
[
  "C835; diagnostic only"
]
```

## Opened utc

2026-09-28T02:30:57.307742+00:00

## Results

```json
{
  "diagnostic_changed_rows": {
    "NewMoon": [
      3,
      1,
      6,
      1
    ],
    "Trumpets": [
      0,
      1,
      8,
      1
    ]
  },
  "kernel_move": "a2×2 +1,−1,−1,+1 cell circulation",
  "source_status": "not an admitted offering variant"
}
```

## Finding

Both margins survive a nonzero cell circulation. Totals compress the ledger but do not reconstruct its source cells; the complete table supplies information beyond280.

## Reassessment

Evaluate the source-admitted calendar/corpus overlay states.

## Checks

```json
{
  "rows_preserved": true,
  "columns_preserved": true,
  "different_nonnegative": true
}
```

## Closed utc

2026-09-28T02:30:57.307956+00:00

## Record provenance

Exact record hash: `298e6e0847be3553b066ada0a41ef311fd07e2b7fd74dbe0ac90ccca91689eff`

Source journal: `Research_Cycles/C0832_C0931/journal.json`