C848 — Transfer the projection model to the four-household ledger

Question

Do equal regrouped totals recover the ordered household inputs?

Inputs

{
  "source_vector": [
    33,
    16,
    14,
    7
  ]
}

Sources

[
  "File58 §1.4 Genesis46 printed-household subtotal register"
]

Opened utc

2026-09-28T02:34:32.561601+00:00

Results

{
  "source_pair": [
    49,
    21
  ],
  "source_bracket": [
    40,
    30
  ],
  "source_prefix": [
    33,
    49,
    63,
    70
  ],
  "invisible_regrouping_direction": [
    1,
    -1,
    1,
    -1
  ],
  "diagnostic_prefix": [
    34,
    49,
    64,
    70
  ],
  "scope": "printed source subtotals only; no person-count repair or chronology projection"
}

Finding

The same four counts produce49/21 and40/30 through two declared partitions. Both partitions miss one direction of change that the ordered prefix register detects. Retaining order adds information beyond shared totals.

Reassessment

State the precise extension of the path grammar established by the list holdout.

Checks

{
  "pair_preserved": true,
  "bracket_preserved": true,
  "order_detects": true
}

Closed utc

2026-09-28T02:34:32.561778+00:00

Record provenance

Exact record hash: d05d03a756cecf42b923038bf767ceba8209676005158203955d98d09d4a2626

Source journal: Research_Cycles/C0832_C0931/journal.json