C1221 — Characterize source shifts that descend to rounded cells

Question

When can the Rounded value alone determine the Rounded shifted value for every input?

Inputs

{}

Sources

[
  "C1213",
  "C1220"
]

Opened utc

2026-09-28T05:31:01.330411+00:00

Results

{
  "criterion": {
    "path": "model/rounded_cell_shift_criterion.json",
    "sha256": "4c2cbdaadd6fd462334918a11e56c5bcae951522a91a8675add093e2ff9ebb15",
    "bytes": 1385
  }
}

Finding

Only multiples of five act on all Rounded cells without residual information. The off-grid27 and−24 changes therefore need source residues; their successful finite examples do not define a universal rounded-only rule.

Reassessment

Conclude the second block’s local-to-Rounded bridge and begin the Strategy’s equal-gain source provenance.

Checks

{
  "each_splits": true,
  "same_initial_cell": true
}

Closed utc

2026-09-28T05:31:01.330840+00:00

Record provenance

Exact record hash: 84ad885f597b1b2aa40c7bf22a2d231f08c7756a1b7fb3b0eadd72b314f71e89

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json