C1467 — Compress the findings into dependency families

Question

Which results add structural understanding, and which are consequences of already selected inputs?

Sources

[
  "Strategy §§5D,6",
  "C1432",
  "Current partition and Key records"
]

Opened utc

2026-09-29T01:20:19.738981+00:00

Results

{
  "primary_source_objects": "Six declared (F,C) pairs plus common1406/6 anchors",
  "new_comparative_extension": "One named600-year partition comparison on each source object",
  "local_explanation": "Two merging defects reconstruct all alternate and refined totals",
  "exact_partial_maps": "Two SP refined upper branches translate uniformly; no full genealogical conversion",
  "connected_existing_family": "C1432 heads and supplied1700 relation form one Key/stage/mode circuit",
  "corollaries": [
    "Cumulative three-head triangle",
    "paired Key target gap formula",
    "same shared2700 extension on every refined path"
  ],
  "not_independent": [
    "Reciprocal Key round trip",
    "sum of two sides of a date triangle",
    "alternate/refined results reproduced by their two defects"
  ]
}

Finding

Promote the comparative partition law, SP selected-branch maps and closed source-named circuit. Keep residue tests and exact nearby misses in the research record.

Reassessment

Express a compact reconstruction contract sufficient to reproduce the complete declared comparison.

Checks

{}

Closed utc

2026-09-29T01:20:19.739282+00:00

Record provenance

Exact record hash: 07abd07474857f9e0c158b487d471ea54cdefd6521133046d298a6d9d3265f9f

Source journal: Research_Cycles/C1433_C1482/journal.json