# C1368 — Write grouping and count compatibility

## Question

When does grouping retain a symmetry as well as a total?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1009–C1029",
  "C1266–C1272",
  "C1309"
]
```

## Opened utc

2026-09-28T06:37:18.780918+00:00

## Results

```json
{
  "artifact": {
    "path": "draft/technical_07_counts.md",
    "sha256": "e6fbc38d872893799d3500dfa1a8f3ed9cbeef94b9d0aa7550f10925aeef0d35",
    "bytes": 1963
  },
  "words": 279
}
```

## Finding

The count supplement states the exact grouping criterion and explains why preserving multiplicity does not automatically preserve reflection.

## Reassessment

Write a compact source-state reference table.

## Checks

```json
{
  "nonempty": true,
  "reflection_witness": true
}
```

## Closed utc

2026-09-28T06:37:18.781447+00:00

## Record provenance

Exact record hash: `2872c912eb7494bb1991676b3b73e3f1427f6b5e9d68ec99d30ed2fcd8eeaa97`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`