{
  "step": "C383",
  "completed_steps": [
    "C374",
    "C375",
    "C376",
    "C377",
    "C378",
    "C379",
    "C380",
    "C381",
    "C382",
    "C383"
  ],
  "predecessor_summaries": [
    {
      "step": "C374",
      "title": "Paired repair in the complete primary Mirror span matrix",
      "main_result": "Both primary source rectangles retain their2K/17K outer endpoints and paired endpoint sums. Five internal cross-spans change; the central one grows17K+138→17K+142. This is not P on the whole bridge. No affine map fixing the two outer endpoints can move the middle source point.",
      "checks": 23,
      "source_checks": 16
    },
    {
      "step": "C375",
      "title": "Source-corner conjugacy of the paired P/J comparisons",
      "main_result": "The existing source-corner exchange conjugates both anchored P/J maps and pairs their Flood pivots on all four complete rows. Only primary i3/i5 carry actual MT Noah input/output records; companion images would require nonexistent MT person companions. Fixed-sum exchange reverses phase and is not a same-offset global action.",
      "checks": 47,
      "source_checks": 16
    },
    {
      "step": "C376",
      "title": "Finite P/J source-edge census at the retained Flood pivots",
      "main_result": "The exhaustive fixed-pivot census finds only the known shared P/J repair in each supporting field, with no continuation at unchanged pivots. Four additional regular J-only299→300 edges form coordinates2946→2947→2948→2949→2950 when their pivots change. All source identities are retained pending ancestry review.",
      "checks": 18,
      "source_checks": 16
    },
    {
      "step": "C377",
      "title": "Ancestry and lifespan limits of the299-to300 edges",
      "main_result": "The J-only299→300 sequence is one restored SP Noah-death family with alternating admitted primary/companion states. Translation+1 preserves each950 biography; the anchored J map misses its matching birth by950/299. Neither the selected P pivot nor the cumulative source menu extends these edges.",
      "checks": 26,
      "source_checks": 15
    },
    {
      "step": "C378",
      "title": "Complete frozen Flood-pivot census for common P/J images",
      "main_result": "Across240 cumulative and9120 regular ordered Flood-coordinate pairs, complete P/J source support occurs only at signed scale−2 cumulative and+2 regular. There are six cumulative and four regular coordinate quadruples. No230 pivot pair exists;±920 candidates lack source endpoints. The regular additions are215-year translated configurations awaiting context qualification.",
      "checks": 14,
      "source_checks": 15
    },
    {
      "step": "C379",
      "title": "Source contexts and Mirror coupling of all common P/J hits",
      "main_result": "All four regular hits have coherent adjacent-Gear MT Noah ancestry, with SP-primary and LXX-OFF counterpart aliases and sourced2K sides. The lower branch is a uniform minus215 translation. Of24 cumulative/regular coordinate pairings, only the original full430 i3/i5 configurations retain the17K cross-spans.",
      "checks": 51,
      "source_checks": 14
    },
    {
      "step": "C380",
      "title": "Finite source paths under moving P/J pivots",
      "main_result": "The common-edge census decomposes into two cumulative three-edge paths and two regular two-edge paths. Each continuation shifts both pivots by the signed gain,−2 or+2. Fixed-pivot iteration misses the next source byh/299 orh/69. All paths stop at the frozen source boundaries.",
      "checks": 34,
      "source_checks": 15
    },
    {
      "step": "C381",
      "title": "Paired source-path compatibility with the17K rectangle",
      "main_result": "Eight admitted paired two-step paths preserve their2K sides and source-corner sums, but increase the cross-spans by4. None preserves17K at both steps. The first original rectangle continues only into17K+4; the other ends at Gear3. The original529 states are not closed under repeated forward repair.",
      "checks": 38,
      "source_checks": 16
    },
    {
      "step": "C382",
      "title": "Moving-pivot mixed-square law for P and J",
      "main_result": "The six admitted mixed two-step squares commute exactly whenD=230h, the same equal-gain condition behind the529 side. Fixed pivots have order defect±20/897. In translated input/output frames P and J become dilations about the same existing source point. All24 finite word routes agree by operator counts, while differing counts retain different slopes.",
      "checks": 78,
      "source_checks": 15
    }
  ],
  "predecessor_main_checks": 329,
  "predecessor_authentication_checks": 138,
  "predecessor_sealed_audit_totals": {
    "packets": 9,
    "manifest_payloads": 219,
    "certificate_bindings": 108,
    "predecessor_links": 9,
    "frozen_source_payloads": 102,
    "main_output_comparisons": 18,
    "root_secondary_output_comparisons": 0,
    "successful_publications": 27
  },
  "root_second_method_checks": 179,
  "reading_index_summary": "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.",
  "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.",
  "source_access": {
    "File_18": "actual bytes match retained SHA256",
    "File_09": "actual bytes match retained SHA256",
    "File_02_File_46_C365": "actual bytes match C373 frozen source manifest",
    "C265": "checkpoint readable; certificate matches retained hash"
  },
  "new_independent_agent_review": false,
  "C384_executed": false,
  "canonical_or_graph_edits": false
}