C854 — Explain the990 and1980 branches by decimal borrowing

Question

Does subtraction of the1400 anchor gap force the repeated paired differences?

Inputs

{}

Sources

[
  "C852–853 digit registers"
]

Opened utc

2026-09-28T02:36:34.403212+00:00

Results

{
  "branches": {
    "path": "model/inverse_long_core_branches.json",
    "sha256": "418a6416c1a58fb34c0422d9915ccb2ad6bd1b44ed9bcc43ccf96f0c7c7c02dd",
    "bytes": 2979
  },
  "branch_values": [
    990,
    1980
  ],
  "derivation": "the shared terminal core digit cancels after positional reversal; leading/tens changes force the remaining gap"
}

Finding

No borrow yields990; a tens borrow yields1980. These are forced branch values for every applicable source row, rather than separately chosen gaps.

Reassessment

Explain every shortened-core source row by the same positional rule.

Checks

{
  "all_applicable": true,
  "only_two": true
}

Closed utc

2026-09-28T02:36:34.403693+00:00

Record provenance

Exact record hash: 49be08c21aca634f0a12e999b990c4e1b32f4d8f7efdd80960d801c223bc0008

Source journal: Research_Cycles/C0832_C0931/journal.json