Independent review: C832–C848
Result: PASS, with presentation qualifications to retain. No numerical correction or source/journal amendment is required by this review.
Scope and evidence
Read all17 records C832–C848, the frozen list inputs, the generated models, the relevant calculation scripts, and File58 §§1.4,3–5,7,13. Independently compared all55 frozen literal table rows with their recorded source lines and checked the File58 snapshot SHA256 924db415dff003d207b98fcb32b27a7d75febf7748d5d0a4d9015a6fe3eb3f0d.
Independent direct-formula checks of the reconstructed Sukkot matrix, Tishri margins, all four overlay vectors, all16 source forward/reverse festival dates, complementary prefixes, complete overlap set, Genesis32 joint table, marginal constraint/rank, six clean-walk dates, and the household kernel passed. These17 review checks are in evidence/INDEPENDENT_C832_C848.json. This is a substantive scoped review, not a substitute for the cycle's journal replay and integrity verification.
What is established beyond restating the totals
- A complete field replaces selected landings. C839–C842 reconstruct all eight forward and eight reverse boundaries. The reverse prefixes satisfy
R(k)=199−F(8−k)across the full object. The two paths have exactly four shared count boundaries0,59,140,199, with different internal step indices. The interior agreements are properties of this selected duration order; their placement at1446 and879 additionally requires the source's1859 anchor and×7 interpretation. - The category agreement is reduced to one exact condition. The Genesis32 joint table is
[[440,50],[50,10]]. Equal purity/sex marginals require only equality of the two off-diagonal totals. C844–C845 identify what the margins retain and forget. The source categories remain distinct. - Information loss is demonstrated rather than merely asserted. A nonzero cell circulation preserves the Tishri margins; a nonzero household direction preserves both49/21 and40/30 partitions. Ordered intermediate values distinguish the altered diagnostic from the source. Neither diagnostic is promoted to an admitted chronological or ritual variant.
- Two chronological measurements are separated constructively. C846 is a fixed-anchor clean category walk. C847's female register corresponds to moving both chronological endpoints according to a declared sequence of comparisons. Its30,40,20 changes follow from head-minus-tail changes. This prevents an apparently continuous value ladder from becoming an unsupported continuous date walk.
- Finite state support transfers. C837–C838 preserve separate calendar and corpus additions, then show how linear scaling carries their effects. They do not alter the controlling Numbers-only three-Sabbath280 state.
These are useful transfers of the established measurement/accumulation grammar to another source domain. They explain dependencies and entire ordered objects. They do not establish the historical composition of the lists, their numerical rarity, or why the source numbers and chronological anchors were selected.
Exact qualifications to retain in the synthesis
1. C834 has the correct allocation qualification
The source's per-day total list and aggregate species margins do not alone imply uniform daily rams, lambs and goats. C834 explicitly supplies (2,14,1) as a declared allocation reconstruction. That is sufficient for its conditional conclusion, and no correction is needed. Its matrix has linear rank2 and one varying day component; the seventh-day rule must not be extrapolated into the separately supplied Eighth-Day row. In a short explanation, preserve the phrase “with the declared daily allocation” rather than saying the matrix was deduced solely from the margins.
2. “Holdout” means a new domain for this grammar
File58 already contains these arithmetic displays, and the researcher read them to freeze the packet. This is a transfer to a source family not reconstructed in the four available C482–C831 cycles, not a statistically independent discovery or an untouched empirical prediction. C832's wording about avoiding fitted endpoints is acceptable because the chronology anchors and orders were frozen first. It does not establish that the source author originally chose them without examining their outcomes.
3. Category distinction is not statistical independence
C844 correctly denies the statistical inference. The determinant1900 records that the normalized joint table would not factor as a product of its marginals if one introduced an animal-weighted probability measure. It is an algebraic diagnostic, not a significance test, and need not appear prominently in the readable synthesis. The stronger explanation is simply clean−female = clean_male−unclean_female = 50−50.
The phrase “independently stated supports” in C837 refers to two distinct source operations. The actual vectors are linearly independent because the extra-Sabbath vector is supported only on lambs while the ritual vector has no lamb component. It does not assert independence of calendar events in a probability model.
4. Distinguish category-table order from Genesis drove order
The frozen §13.1 category table places cattle before camels. The Genesis source-order register is goats, sheep, camels, cattle, donkeys. C847 correctly restores that declared drove order before accumulating female counts, and C846 explicitly selects a different male-first clean order. The generated joint table's stored row sequence should not later be described as the narrative order. No calculation error is present.
5. Unrestricted kernels are diagnostic spaces
C845 explicitly labels the six-dimensional kernel as the space of unrestricted nine-count variations. This is correct. It does not authorize six chronological parameters or six source variants. Likewise, C848's direction (1,−1,1,−1) proves that the two household partitions do not determine the four source numbers; it does not reopen person-count reconstruction or the appendix chronology projections.
6. Existing anchor roles remain local
The1896 head and the1876/1846/1446/1406 comparisons are already in File58's declared walk and nested span comparisons. Their presence does not reopen the quarantined1876 half-primer or Moses one-third primer. C832–C848 uses no primer hypothesis, no1486 node, no new Gear propagation, no second decimal inversion, and no new statistical tally. The male/female terms in this review concern animal categories, not the separate birth-law mechanism.
Review conclusion
The complete list family advances the Strategy chiefly by showing how incidence/category data, order, scaling and endpoint roles contribute different information. The shared grammar is stronger when it retains those layers than when it treats the lists as undifferentiated totals. The current records support that conclusion and preserve their source and inferential limits.