C855 — Explain every shortened-core branch

Question

Which positional changes produce the later nonconstant paired differences?

Inputs

{}

Sources

[
  "C852–854"
]

Opened utc

2026-09-28T02:36:48.497198+00:00

Results

{
  "branches": {
    "path": "model/inverse_short_core_branches.json",
    "sha256": "fb9e0311663e549bcb790b83c963c12b4f8c56b5a4c775d265f84df52f81b8c0",
    "bytes": 2122
  },
  "formulas": {
    "three_to_two": "1260+90a−90b−900c",
    "three_to_one": "990−990c"
  }
}

Finding

The later variations follow core-length changes, which move the same digits into different place values. The nonlinear field therefore needs its digit register, not extra chronological corrections.

Reassessment

Resolve the two retained-zero source cases and complete the partition.

Checks

{
  "all_shortened": true,
  "both_changes": true
}

Closed utc

2026-09-28T02:36:48.497789+00:00

Record provenance

Exact record hash: 37ae274c72ed24200684fac0361a99f3156380afff072c9abb13fc917abf0de2

Source journal: Research_Cycles/C0832_C0931/journal.json