# C643 — Solve the source-state correction congruence

## Question

Given the standard2236 vector, what correction first enters the complete calendar-compatible class?

## Inputs

```json
{
  "standard_vector": 2236,
  "compatible_class": "2366+32760q",
  "permitted_test": "nonnegative integer correction to Creation rail only"
}
```

## Sources

```json
[
  "C640,C642; File70 regular Cainan comparison"
]
```

## Opened utc

2026-09-28T00:59:50.845969+00:00

## Results

```json
{
  "correction_class": "130+32760q",
  "least_nonnegative": 130,
  "examples": [
    130,
    32890,
    65650
  ],
  "source_regular_Cainan": 130
}
```

## Finding

With the standard vector and the14/26 offsets fixed, the least nonnegative correction satisfying all three calendar conditions is130. This recovers the supplied regular-Cainan increment conditionally; it does not infer an insertion history or change the frozen MT state.

## Reassessment

Use the supplied Enoch close to reconstruct the Priestly minimum’s internal partition.

## Checks

```json
{
  "least": true,
  "compatible": true
}
```

## Closed utc

2026-09-28T00:59:50.846140+00:00

## Record provenance

Exact record hash: `2d76bad693f618f2534e23e922c8d6ae92c4cca38f6b11bd4c7b6dc807d3a113`

Source journal: `Research_Cycles/C0632_C0731/journal.json`