# 490d C374–C383 reading index and restart guide

**All ten steps are complete. C384 has not been executed.** 24 September 2026.

Read the C383 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

C374–C383 complete. The paired two-year repairs preserve the original2K/17K outer corners but change the internal cross-span17K+138 to17K+142. Existing corner exchange conjugates P/J at source Flood pivots; typed MT membership excludes companion rows and fixed-sum exchange reverses phase. The exhaustive frozen Flood-pivot census tests240 cumulative and9120 regular ordered coordinate pairs: only signed scale−2 cumulative and+2 regular has complete common source support, giving six and four coordinate quadruples. The two extra regular configurations are minus215 translations; SP/LXX aliases preserve source identity, and only the original full430 i3/i5 pair retains17K. J-only299→300 edges form one SP Noah-death family but do not carry whole950 biographies. Common P/J source paths have at most three cumulative or two regular edges, requiring pivots to move with the gain. Paired continuation preserves2K and corner sums but raises cross-spans by4, so the original17K states are not closed. A precise composition law survives: P_(B+h) after J_A equals J_(A+h) after P_B exactly when B−A=230h. In translated frames both are dilations about the same existing source point. Six source squares and24 finite word routes verify the law; fixed pivots have defect±20/897. No global529-preserving action or source-prescribed pairing is established.

## Read first

- [490d_C383_Finite_P_J_Source_Transport_and_Moving_Frame_Synthesis_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C383_Finite_P_J_Source_Transport_and_Moving_Frame_Synthesis_20260924.md)
- [490d_Mirror_Checkpoint_After_C383_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C383_20260924.md)

## Ten-step locator

| Step | Report | Checkpoint | Evidence |
|---|---|---|---|
|C374 — Paired repair in the complete primary Mirror span matrix|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C374_Paired_Repair_Full_Mirror_Span_Matrix_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C374_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C374_Evidence_20260924.zip)|
|C375 — Source-corner conjugacy of the paired P/J comparisons|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C375_Paired_P_J_Source_Corner_Conjugacy_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C375_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C375_Evidence_20260924.zip)|
|C376 — Finite P/J source-edge census at the retained Flood pivots|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C376_Fixed_Pivot_P_J_Source_Edge_Census_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C376_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C376_Evidence_20260924.zip)|
|C377 — Ancestry and lifespan limits of the299-to300 edges|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C377_Unit_Gain_Noah_Death_Ancestry_and_Lifespan_Limits_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C377_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C377_Evidence_20260924.zip)|
|C378 — Complete frozen Flood-pivot census for common P/J images|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C378_Complete_Flood_Pivot_Common_P_J_Census_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C378_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C378_Evidence_20260924.zip)|
|C379 — Source contexts and Mirror coupling of all common P/J hits|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C379_Common_P_J_Source_Contexts_and_Mirror_Coupling_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C379_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C379_Evidence_20260924.zip)|
|C380 — Finite source paths under moving P/J pivots|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C380_Finite_Common_P_J_Source_Paths_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C380_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C380_Evidence_20260924.zip)|
|C381 — Paired source-path compatibility with the17K rectangle|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C381_Paired_Source_Path_17K_Compatibility_Obstruction_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C381_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C381_Evidence_20260924.zip)|
|C382 — Moving-pivot mixed-square law for P and J|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C382_Moving_Pivot_P_J_Mixed_Square_Law_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C382_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C382_Evidence_20260924.zip)|
|C383 — Finite P/J source transport and moving-frame composition synthesis|[Report](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C383_Finite_P_J_Source_Transport_and_Moving_Frame_Synthesis_20260924.md)|[Checkpoint](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C383_20260924.md)|[Evidence ZIP](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C383_Evidence_20260924.zip)|

## Restart checkpoint

Latest completed C383; C384 is unexecuted and outside this completed authorization. Use the C383 compact kit as the active packet; read synthesis/checkpoint then locator. C378 is the complete frozen Flood-pivot census, C379 qualifies contexts and original17K pairing, C380 supplies finite source paths, C381 proves the paired cross-span drift, and C382 gives the moving-pivot mixed-square law. The primitive equal-gain relationD=230h simultaneously explains the sourced529m side and mixed-order equality. In the moving frame x0=A+299h=B+69h is an existing source input, not a new epoch anchor. Same operator counts give the same affine word map; different counts remain different slopes. Do not turn finite source paths into extra Gears, cumulative Gear transport or a global action. Keep unit J-only SP Noah-death edges distinct from common P/J edges and from biography transport. No unit-gain Flood-pivot pair exists in the frozen menus; signed scale-four candidates lack source endpoints. Full430 minus215 copies preserve local2K but not original17K against fixed cumulative sources. Prior C373 source repair, C367 nativeNoah950 translation by19K and C369 bridge remainders remain. Retain C353458+600 repairs, C343 Noah-held1058→1150→1250 E ladder and C363 source qualifications. K529,E25/23,P70/69; File02 J300/299 is a gap conversion, not ResidueProtocol. Global paired MirrorJanuaryAD1; local junctionJanuaryAD2; no civil yearzero. Regular Gears only Noah/Shem/Flood; SP minus-one person companions stay local; Flood close is separate. C287 completei2…5 differs from the wider cumulative six-edge and C319i3…7 menus. SP primary Noah death retains inclusive/harmonic qualification;500/100 and502/98 modes remain valid. No new source endpoints, phases, fitted anchors, global axes, primer reopening, canonical or graph edits. Corrected LXX8464 supplement remains awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 stays superseded. Original unprefixed reports, Engine reports and C-series remain distinct. The old incompleteSeptember17 ZIP differs from the later verified intact original. Replays, replicas and coordinate aliases are not independent historical witnesses.

## Proposed next step — unexecuted

Compare the moving-frame P/J composition structure with the existing Noah-held E=25/23 source ladder. Test a finite mixed diagram using only its already recorded pivots, endpoints, contexts and phases; determine whether a source-qualified commuting square exists and record any obstruction without changing anchors or Gear scope.

The current authorization ends at C383. A new instruction is required before C384.

## 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 C383 alternate-method output. 404 main checks, 199 frozen-input/predecessor authentication checks and 179 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 C374, C378, C380, C382 and C383 packets: the full span matrix, exhaustive pivot census, finite source paths, mixed-square law and final synthesis. It also contains the prior C373 checkpoint/report, C265 reference checkpoint/certificate and the existing C343 evidence ZIP for the proposed E-ladder comparison. C383 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 C383. The older C343 packet is a selective reference; its historical next-step instructions are superseded by the current checkpoint.

Portable main replay: run `python3 C383/evidence/check.py --out replay` from the extracted compact kit; compare DATA.json and RESULTS.json with C383/evidence/. The additional check is `python3 C383/evidence/ROOT_SECOND_METHOD.py --sources C383/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 C373 frozen source manifest. 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.