# Chronological families: checkpoint C851

Twenty sequential actions are complete. File58 extends the source-path model to categorized lists. The new work recovers complete fields and identifies which information their totals retain.

The Tishri matrix has two280 margins, but a cell circulation can preserve both while changing the source entries. Esau’s joint purity/sex table is[[440,50],[50,10]]: its equal490/60 marginals require the single off-diagonal balance50=50, without identifying the classifications. The four margin measurements have rank3 on nine source counts.

The whole forward/reverse festival paths arise from the declared8-part sequence. Their common prefix counts are exactly0,59,140,199, explaining the shared1859/1446/879/466 labels at different step positions. Source order, category order and scaling have now been separated explicitly.

The female400/430/470/490 register requires changing endpoint pairs; it is not one fixed-anchor walk. The household33/16/14/7 example shows how ordered prefixes recover distinctions lost by two regroupings.

These are mathematical explanations of source-controlled constructions. Textual selection, animal-year interpretation and historical design remain distinct premises. No primer or canonical source was opened for amendment.

Next: latest File52c’s complete32-source paired-anchor displacement field, retaining only its64 existing one-pass endpoints and excluding target tallies.