# C1026 — Multiplicity preserves a lost measure

## Question

What source information restores the5|1|5 occurrence count?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1023–C1025"
]
```

## Opened utc

2026-09-28T04:00:38.503095+00:00

## Results

```json
{
  "section_weights": [
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    1
  ],
  "weighted_arms": [
    5,
    5
  ],
  "total_occurrences": 11,
  "limit": "measure restored; single-valued section reflection still absent"
}
```

## Finding

Retaining section multiplicities preserves the occurrence count and its center. It does not make the obstructed reflection single-valued on unexpanded sections.

## Reassessment

Identify the extra grouping a formal reflection-stable quotient would require.

## Checks

```json
{
  "weights": true,
  "equal_weighted_arms": true,
  "count": true
}
```

## Closed utc

2026-09-28T04:00:38.503408+00:00

## Record provenance

Exact record hash: `39370453627c5c40cc769d7e4cc5a4ec3c3dd65dd8d0d1b6fbdfe06b388acd6b`

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