# C782 — Compare Cainan support across modes

## Question

Do regular130 and cumulative460 act on the same surviving rows?

## Inputs

```json
{}
```

## Sources

```json
[
  "File18 §1.6; C738,C775"
]
```

## Opened utc

2026-09-28T02:02:04.352545+00:00

## Results

```json
{
  "support_fields": {
    "path": "model/Cainan_support_modes.json",
    "sha256": "45dea3de086384345794270c68de649963f39290b90c0f57302f31f2e59f9e3f",
    "bytes": 5989
  }
}
```

## Finding

Cainan insertion has one upstream support and two mode weights. Its effect on the gap is330 on that prefix and0 downstream; the inserted node is represented separately.

## Reassessment

Determine which regular state choices are forgotten by the raw lifespan projection.

## Checks

```json
{
  "same_support": true,
  "gap_identity": true
}
```

## Closed utc

2026-09-28T02:02:04.353369+00:00

## Record provenance

Exact record hash: `344c6792809ab1ba4f21c067070369564dcf61be9f58c5e9e45c4dc005f436b1`

Source journal: `Research_Cycles/C0732_C0831/journal.json`