C105 — Joseph’s three graph placements agree with their original Kohath source members
22 September 2026 · Step 3 of the authorized ten-step Mirror continuation (C103–C112).
| Joseph head | Kohath head | Joseph lifespan | Member offset from Moses |
|---|---|---|---|
| 1904 | 1794 | 110 | -2 |
| 1906 | 1796 | 110 | 0 |
| 1908 | 1798 | 110 | 2 |
The three Kohath records extend the graph to 88 nodes and 171 durations, with its 19 existing reflections retained. Each original +110 equation determines the new Kohath coordinate from the already placed Joseph head. The source table independently supplies the admitted Kohath field 1794…1801 and its Moses member 1796.
The graph's rank rises from 82 to 85. Adding the three exact Kohath source-coordinate bindings changes numerical rank by 0: the recorded Mirror relations already predict these positions. Their agreement still matters as a check of source identity and member selection. It is not an additional independent numerical degree of constraint.
Offsets −2, 0 and +2 refer to members of the cumulative envelope. They are not regular Gears, and no H7/T14 adjustment is introduced. Joseph remains collateral and does not replace Kohath's genealogical position. Both the full graph and the separately identified source bindings are retained in the evidence.
Validation. 9 exact arithmetic/structural checks passed. The 14 frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.
Scope and provenance. Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.
Source locators. File_09 §3 and Appendix A (paired Mirror); File_18 §§2.1.3, 3.1 and 6A (regular fields and cumulative source members); File_61 §11.2 (original backward Joseph +110); File_62 collateral-scope guards; C05 admitted apparent field; C43 frozen graph; C95 and C100–C102 named carrier rows; preceding current certificates. The forthcoming 529 × 4 × 2 cycle has not been explored. The declared phase model does not infer an unstated birthday or event month from an annual source row.
Best next bounded step — High sufficient. Complete the paired Mirror counterparts of the selected grid and Kohath/Joseph records, and check whether reflected copies add constraints beyond their reflection bindings.