# C874 — Classify all one-Key integer and Rounded domains

## Question

How do same-grid conditions differ from merely integral output?

## Inputs

```json
{}
```

## Sources

```json
[
  "C873",
  "File51a q in5Z"
]
```

## Opened utc

2026-09-28T02:46:52.950938+00:00

## Results

```json
{
  "domains": [
    {
      "key": "E",
      "ratio": "25/23",
      "integer_generator": 23,
      "five_year_generator": 115
    },
    {
      "key": "P",
      "ratio": "70/69",
      "integer_generator": 69,
      "five_year_generator": 345
    },
    {
      "key": "J",
      "ratio": "300/299",
      "integer_generator": 299,
      "five_year_generator": 1495
    }
  ],
  "joint_integer": 897,
  "joint_five_year": 4485,
  "artifact": {
    "path": "model/one_key_domains.json",
    "sha256": "db9630b099b86ca6a4011d5fdd5af153f007f4a19ee315fc73351c12bd5ead50",
    "bytes": 431
  }
}
```

## Finding

Integer self-domains are23Z,69Z,299Z; Rounded5Z self-domains are115Z,345Z,1495Z. Their intersections are897Z and4485Z. These intersections concern separate images, not sequential authorization.

## Reassessment

Locate the existing source examples inside these domains without counting them as new discoveries.

## Checks

```json
{
  "joint": true,
  "rounded": true,
  "different_input_domain": true
}
```

## Closed utc

2026-09-28T02:46:52.951318+00:00

## Record provenance

Exact record hash: `1949ec61036c20f1701319ef0adef5addf10dda22c743b8aacdada4b9f759397`

Source journal: `Research_Cycles/C0832_C0931/journal.json`