# 490d C364–C373 reading index and restart guide **All ten steps are complete. C374 has not been executed.** 24 September 2026. Read the C373 synthesis and checkpoint first. Use the compact restart kit as the active packet. The continuation archive contains all ten sealed evidence packets and all 30 individual deliverables. Older archives remain selective reference libraries. Current corrections override stale archived next-step instructions. ## Main result C364–C373 complete. The cumulative joined460/598→500/600 proposal has no source internal or terminal member in its frozen menu. Existing cumulative and regular Noah950 biographies instead share460/490/460 source shapes; companion shapes require the explicit annual-member shift j=k−1 and retain459/491/459. Fixed19K carries the native cumulative Noah lifespan to the reflected SP lifespan with birth/death roles exchanged and same-offset components preserved, but does not carry the OFF interior. The full bridge matrix has primary remainders69/138 and companion70/140 after division by529. At actual Flood pivots460 apart, P70/69 on138→140 and J300/299 on598→600 reach the same existing two-year repair: all four complete cumulative rows and the two regular primary rows pass; companion regular rows fail. The full C319 comparison again leaves22:i3/i5. Equal integer gains have primitive family69m→70m,299m→300m,separation230m. When the sourced first segment equals that separation, the side is529m; the actual460 fixesm2 and recovers1058=2K. This is a conditional source-supported arithmetic explanation, not a textual rule coupling the ratios or a global map. No canonical or graph edits. ## Read first - [490d_C373_Noah_Lifespan_Paired_P_J_and_529_Synthesis_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C373_Noah_Lifespan_Paired_P_J_and_529_Synthesis_20260924.md) - [490d_Mirror_Checkpoint_After_C373_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C373_20260924.md) ## Ten-step locator | Step | Report | Checkpoint | Evidence | |---|---|---|---| |C364 — Cumulative counterpart of the joined 460/598 comparison|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C364_Cumulative_Joined_Comparison_Source_Boundary_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C364_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C364_Evidence_20260924.zip)| |C365 — Cumulative and regular Noah 460-490-460 biography rectangles|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C365_Cumulative_and_Regular_Noah_950_State_Rectangles_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C365_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C365_Evidence_20260924.zip)| |C366 — Noah biography rectangles under retained source ancestry|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C366_Noah_State_Rectangles_Annual_and_Phase_Bindings_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C366_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C366_Evidence_20260924.zip)| |C367 — Fixed19K transport of the native cumulative Noah lifespan|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C367_Fixed_19K_Native_Noah_Lifespan_Transport_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C367_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C367_Evidence_20260924.zip)| |C368 — Noah19K and joined-map selector intersection|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C368_Noah_19K_and_Joined_Map_Selector_Intersection_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C368_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C368_Evidence_20260924.zip)| |C369 — Two-state Noah lifespan bridge matrix modulo529|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C369_Noah_Lifespan_Bridge_Matrix_and_529_Complements_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C369_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C369_Evidence_20260924.zip)| |C370 — Source lift of P138-to140 and the598-to600 repair|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C370_Paired_P_J_Source_Endpoint_Repair_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C370_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C370_Evidence_20260924.zip)| |C371 — Uniqueness and controls of the paired P/J repair|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C371_Paired_Map_Uniqueness_Selectors_and_Phase_Controls_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C371_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C371_Evidence_20260924.zip)| |C372 — Primitive integer grammar of the paired P/J repair|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C372_Primitive_Integer_P_J_Grammar_and_529_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C372_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C372_Evidence_20260924.zip)| |C373 — Noah lifespan, paired P/J and529 source synthesis|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C373_Noah_Lifespan_Paired_P_J_and_529_Synthesis_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C373_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C373_Evidence_20260924.zip)| ## Restart checkpoint Latest completed C373; C374 unexecuted and outside the completed authorization. Use the C373 compact kit as active packet, starting with synthesis/checkpoint; earlier archives are selective references. C370 supplies paired P/J endpoint records; C371 contains uniqueness, twenty-control, boundary and phase tests; C372 gives the primitive integer proof. Retain C367 native950 transport by19K with exchanged birth/death roles. C369 bridge matrices use d460 primary and d459 companion, the latter explicitly including annual-index ancestry;69/70 remainders are not calendar residues. For D460, anchored P and J agree uniquely at outer gap598 with output600 and inner138→140; same-offset component comparisons pass, fixed-center pivot maps do not carry both inherited phases. The equal-gain integer family has pivot230m and source-qualified side529m; no primitive230 source endpoint is adopted. The regular companion alternative SP start allows a P-only hit while J still misses; never merge event boundaries. Prior C353458+600 repairs and their2K/17K outer endpoints remain. Prior C363 regular joined460/598→500/600 and Shem-held squared-E1058→1250 remain separately qualified; the cumulative joined counterpart has no source500 or1100 span in the declared menu. C343 Noah-held1058→1150→1250 ladder remains retained. C287 completei2…5 and C319 slicei3…7 differ. Source500/100 and502/98 modes remain valid. K529,E25/23,P70/69; File02 gapJ300/299 is not ResidueProtocol. Global paired MirrorJanuaryAD1, local junctionJanuaryAD2, no civil yearzero. Regular GearsNoah/Shem/Flood only; SP minus-one person companions local; primary Noah death retains inclusive/harmonic qualification. No new source endpoints, phases, fitted anchors, global axes, upstream Gears, primers, canonical or graph edits. Corrected LXX8464 supplement remains awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 superseded. Original unprefixed reports, Engine reports and C-series remain distinct; the old incompleteSeptember17 ZIP differs from the later verified intact original. No independent witness count or source-prescribed selector follows from repeated algebra or coordinates. ## Proposed next step — unexecuted Audit the full primary source-labelled Mirror rectangle after both two-year P/J repairs: enumerate the internal and cross-field spans, determine which inherited relationships survive, and test whether a whole-rectangle comparison follows. Hold the original2K/17K outer endpoints and inherited phase ancestry fixed; adopt no fitted bridge, new endpoint or anchor. The current authorization ends at C373. A new instruction is required before C374. ## Verification and access All 30 individual deliverables were saved incrementally. All ten sealed ZIPs passed CRC, payload hash/size and certificate checks. Fresh isolated replay reproduced 20/20 main DATA/RESULTS outputs and the C373 alternate-method output. 533 main checks, 215 frozen-input/predecessor authentication checks and 341 separately implemented source-join and integer cross-product checks passed. These are verification counts, not independent witnesses; no new independent-agent review is claimed. The compact kit contains complete C365, C370, C371, C372 and C373 packets: source-derived Noah families, the paired conversion, its controls, its primitive proof and final synthesis. It also contains the prior C363 checkpoint/report and C265 reference checkpoint/certificate. C373 freezes DATA, certificates, results and next-step decisions for all nine predecessor steps. File_18 and File_09 are frozen in each packet; File_02 and File_46 are included in C370, C372 and C373. Engine III source provenance is retained in C365 and C373. Portable main replay: run `python3 C373/evidence/check.py --out replay` from the extracted compact kit; compare DATA.json and RESULTS.json with C373/evidence/. The additional check is `python3 C373/evidence/ROOT_SECOND_METHOD.py --sources C373/sources --out secondary_replay`. The other packets have the same main replay convention and their own README. Python3 standard library only. The continuation archive contains all evidence ZIPs under `published/`, extracted packets under `steps/`, and completion and sealed-packet integrity records. PACKAGE_MANIFEST.json records every included payload hash and size. The separate completion/integrity JSON records the recovery ZIP checksums. Actual File_18 and File_09 bytes match their retained hashes; File_02 and File_46 match their C370 frozen sources. The C265 checkpoint is readable and its certificate hash matches the retained control. C-series, original unprefixed reports and Engine reports remain distinct. The earlier incomplete September17 local ZIP was not the later verified intact original. Immediate dependencies remain frozen and accessible.