C999 — Complete fixed-pivot Key-pair field

Question

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

Inputs

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

Sources

[
  "C998",
  "File46"
]

Opened utc

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

Results

{
  "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

{
  "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