# C999 — Complete fixed-pivot Key-pair field

## Question

Which of the nine fixed E/P/J pairs have an integral staged domain?

## Inputs

```json
{
  "pivots": [
    14006,
    4836
  ],
  "status": "diagnostic compositions; not nine newly authorized routes"
}
```

## Sources

```json
[
  "C998",
  "File46"
]
```

## Opened utc

2026-09-28T03:55:09.466517+00:00

## Results

```json
{
  "complete_field": {
    "path": "model/fixed_pivot_key_domains.json",
    "sha256": "9eb556b1e69ffbff221d7a8fc0350f27653c0ae076bb1a77a0e643bc01f3d327",
    "bytes": 940
  },
  "empty_pairs": [
    "J→P"
  ]
}
```

## Finding

Eight fixed-pivot pairs have one residue-class domain. J→P alone has no all-stage integer input under these pivots. Representatives are congruence labels, not event dates.

## Reassessment

Verify every nonempty class and explain the single obstruction.

## Checks

```json
{
  "nine_pairs": true,
  "only_obstruction": true
}
```

## Closed utc

2026-09-28T03:55:09.466952+00:00

## Record provenance

Exact record hash: `6f992b301ba80a26752f26973613cbaabb9366ede87f00785bff8c41edea7352`

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