# C1003 — Exact rational field normal form

## Question

How can the full File46 head field be retained when some images are nonintegral?

## Inputs

```json
{
  "anchor": 14006,
  "source_mesh": 10,
  "indices": [
    92,
    89,
    46,
    43,
    0
  ]
}
```

## Sources

```json
[
  "File46",
  "C931 technical",
  "C1002"
]
```

## Opened utc

2026-09-28T03:55:50.252067+00:00

## Results

```json
{
  "field": {
    "path": "model/key_full_field_normal_form.json",
    "sha256": "db914a9e5f1a7898a4098a26c534f9d4a527c015aba62d6ba733fb65a3623a57",
    "bytes": 359
  },
  "image_mesh": "250/23",
  "integral_indices": [
    92,
    46,
    0
  ]
}
```

## Finding

The entire labelled index pattern survives on the exact mesh250/23. Only indices divisible23 give integer images; keeping fractions preserves the comparison without repairing dates.

## Reassessment

Test the complete componentwise calendar assignment field.

## Checks

```json
{
  "mesh": true,
  "integral_subset": true,
  "source_heads": true
}
```

## Closed utc

2026-09-28T03:55:50.252551+00:00

## Record provenance

Exact record hash: `8d91f201b4244c918a1659327bba48abfd8280eb7fe2cd5703eefed13b352c8d`

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