# C1010 — Grand total closes one missing category

## Question

Which count remains invisible without the total550?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1009"
]
```

## Opened utc

2026-09-28T03:57:24.130353+00:00

## Results

```json
{
  "rank_without_total": 8,
  "kernel": [
    [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1
    ]
  ],
  "missing_category": "male donkeys"
}
```

## Finding

Without the total, only male donkeys remain unmeasured. The total contributes one independent condition, rather than changing the other eight reconstructed counts.

## Reassessment

Choose a square measurement basis and inspect whether it hides fractional reconstruction.

## Checks

```json
{
  "rank_eight": true,
  "one_category_kernel": true
}
```

## Closed utc

2026-09-28T03:57:24.133673+00:00

## Record provenance

Exact record hash: `6dbb02b452bccd026adb63f1dbac70e71d17f4dfbc4a2bf848d342b05141da93`

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