{
  "status": "complete",
  "date": "2026-09-24",
  "completed_steps": [
    "C424",
    "C425",
    "C426",
    "C427",
    "C428",
    "C429",
    "C430",
    "C431",
    "C432",
    "C433"
  ],
  "step_count": 10,
  "individual_reports": 10,
  "incremental_checkpoints": 10,
  "evidence_packages": 10,
  "confirmed_individual_publications": 30,
  "main_assertions": 13404,
  "source_authentication_checks": 192,
  "root_second_method_checks": 719,
  "new_independent_agent_review": false,
  "counts_are_not_independent_historical_witnesses": true,
  "isolated_main_outputs_identical": 20,
  "isolated_secondary_outputs_identical": 1,
  "all10_ZIP_CRC_payloads_certificates_and_predecessors_verified": true,
  "C434_executed": false,
  "C434_authorized": false,
  "canonical_or_graph_edits": false,
  "next_bounded_question": "Test whether one source formula built from Noah950, the Noah–Shem500 relation, and the existing sojourn/Cainan/SP-companion context shift explains the new128+64 factorization. Then census its finite Gear/Terah family while requiring every pivot and intermediate to remain sourced, without fitting another anchor.",
  "publication_records": [
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      "step": "C424",
      "title": "The sixteen Flood-start to Noah-death 2K pairs",
      "main_result": "The16 labelled Flood-start/Noah-death2K pairs occupy eight coordinates, with SP/LXX aliases. All768 fixed-context station comparisons yield no additional2K station. Corresponding primary/native person and Flood roles differ708; SP companion person roles differ707. The mixed-role2K matches are separate from the C416 same-role profile.",
      "certificate_sha256": "cfc9947825679d9aee5a88ce32b30d16161b4c5a456b0fd1674379afa7ce801b",
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      ],
      "next_step": {
        "completed_step": "C424",
        "next_proposed_step": "C425",
        "question": "Derive the exact source-offset equation for this class and census all existing Flood-start/Noah-death record pairs without preselecting tradition, variants, rail or Gear. Determine which context differences are necessary for1058.",
        "reason_selected_after_current_result": "The first audit found one repeated708 context offset. An unfiltered source equation can explain the16 labels without treating them as separate calibrations.",
        "executed": false,
        "authorization_remaining": 9,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
    },
    {
      "step": "C425",
      "title": "The source equation behind the 708 plus 350 class",
      "main_result": "All6912 Flood-start/Noah-death record pairs were tested; exactly16 hits recover C424. Their single source equation is1058=350+650+60−2. Cainan and sojourn settings match, Terah differs+60, upper Gear is one below lower, and lower Noah death is MT. The16 labels are eight coordinate repetitions of one708-context/350-role relation.",
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      ],
      "next_step": {
        "completed_step": "C425",
        "next_proposed_step": "C426",
        "question": "Express every one of the46 labelled C414 2K pairs as a standard role difference plus explicit tradition, variant, Gear and local companion terms. Determine the minimal observed context templates and any coordinate overlap between them.",
        "reason_selected_after_current_result": "The new class reduces to one source equation. Extending that accounting to the already frozen complete2K census can reveal a smaller common structure without adding another search domain.",
        "executed": false,
        "authorization_remaining": 8,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
    },
    {
      "step": "C426",
      "title": "Four context templates behind the complete 2K census",
      "main_result": "All46 labelled2K pairs reduce to four context offsets:458 (20 labels/12 coordinates),708 (16/8),1057 (4/2),1059 (6/5). Role and local companion terms complete1058. Their coordinate union has26 rather than27 pairs because3298/2240 belongs to both708 and1057 templates through two distinct MT lower records: Noah deathG3/C1/T0/F1 and Flood closeG1/C0/T0/F0.",
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          "status": "succeeded",
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      ],
      "next_step": {
        "completed_step": "C426",
        "next_proposed_step": "C427",
        "question": "Resolve the MT Noah-death/Flood-close coincidence responsible for the sole template overlap. Census all such MT record coincidences, retain their separate biographies and event contexts, and check which can actually participate in an existing2K pair.",
        "reason_selected_after_current_result": "The four-template reduction exposes one coordinate collision. Resolving its source identity is necessary before interpreting the templates as a connected structure.",
        "executed": false,
        "authorization_remaining": 7,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
    },
    {
      "step": "C427",
      "title": "The MT 2240 coincidence behind the template overlap",
      "main_result": "The576 MT Noah-death/Flood-close comparisons yield only2240 and2300, both from349=130+215+4 with matched Terah. Only2240 has an existing2K upper coordinate3298;3358 is absent. At2240, Noah3190→2240/Flood2590→2589 and Noah2841→1891/Flood2241→2240 remain separate contexts. The template overlap is a coordinate alias, not one historical identity.",
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      "next_step": {
        "completed_step": "C427",
        "next_proposed_step": "C428",
        "question": "Test all26 existing regular2K coordinate pairs against every sourced cumulative Shem/Flood2K pair under the fixed17K join equations. Compare all hits with the already retained C287 domain, including SP companion cases, and keep later operator qualifications separate.",
        "reason_selected_after_current_result": "The complete regular inventory and its sole overlap are now source-qualified. A full fixed17K join census can determine whether any newly classified template adds a Mirror branch.",
        "executed": false,
        "authorization_remaining": 6,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
    },
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      "title": "Complete fixed 17K joins of the regular 2K census",
      "main_result": "All26 regular2K pairs × six cumulative2K Shem/Flood pairs give156 fixed17K trials. Four coordinate joins survive, with six labelled regular realizations: precisely C287 i2–i5, all T1. Companion i2/i4 remain valid source rectangles; later primary i3/i5 operator qualifications remain separate. T2/T3/T4 add no Mirror branch.",
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      ],
      "next_step": {
        "completed_step": "C428",
        "next_proposed_step": "C429",
        "question": "Complete the fixed-upper gap-scaling inventory for all26 source2K pairs under E, E², P and J. Record every sourced output and distinguish squared-E endpoints from two sourced E steps, retaining the four context-template labels.",
        "reason_selected_after_current_result": "The full Mirror question is closed within the frozen menu. The same complete inventory can now show which2K role families actually support sourced harmonic outputs, without choosing another pivot.",
        "executed": false,
        "authorization_remaining": 5,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
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      "step": "C429",
      "title": "Complete harmonic endpoints of all source 2K pairs",
      "main_result": "All26 source2K pairs under E/E²/P/J give104 trials:13 sourced E outputs,13 sourced E² outputs, no P/J outputs, and four complete two-E ladders. T2/T3 supply nine distinct Flood-held E arrows to MT Shem death, sharing3298/2240. Nine E² cases remain endpoint-only. Existing source aliases at outputs remain explicit.",
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      ],
      "next_step": {
        "completed_step": "C429",
        "next_proposed_step": "C430",
        "question": "Derive the source-context rule for the nine Flood-held E arrows. Test how T2 and T3 meet at2240 and whether their upper three-Gear strip preserves one input role or requires a qualified role change at its boundary.",
        "reason_selected_after_current_result": "The harmonic census exposed a coherent positive Flood-held family. Its source identity and finite Gear boundary are more informative to resolve next than treating nine coordinate arrows as unrelated matches.",
        "executed": false,
        "authorization_remaining": 4,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
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      "title": "Source rules and Gear boundary of the Flood-held E family",
      "main_result": "Nine Flood-held E coordinate arrows have20 labelled realizations. T2 uses next-Gear MT Noah death/Terah0 to same-Gear MT Shem death/Terah60 at fixed SP/LXX Flood/Terah60, with common C/F. T3 supplies a Flood-close route at C=F=1. The strip3296/3298/3300 has inputs2238 NoahG2,2240 NoahG3 or FloodcloseG1,2242 FloodcloseG2, and outputs2146/2148/2150. Two two-Gear input families meet; no Gear4 Noah or single three-Gear input role is admitted.",
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      "next_step": {
        "completed_step": "C430",
        "next_proposed_step": "C431",
        "question": "For all13 sourced squared-E endpoints in C429, solve the complete same-map two-E pivot equation over existing regular coordinates and test intermediate membership. Use the positive E/P/J slope restriction to determine whether any of the nine endpoint-only cases can be repaired without changing its complete map.",
        "reason_selected_after_current_result": "The positive Flood-held family is now source-qualified. Completing the remaining endpoint-versus-path test will close the harmonic inventory before the final source/completeness audit.",
        "executed": false,
        "authorization_remaining": 3,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
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      "title": "All sourced realizations of the thirteen squared-E maps",
      "main_result": "The13 sourced E² targets ×373 first pivots yield39 sourced pivot-pair solutions and five complete coordinate paths. Four are known fixed-pivot Noah ladders. One new distinct-pivot path repairs the held3206 map:2148→2020→1956 about3620 then2756, with effective pivot3206. Parameter t18 gives gap expansions64×23→64×25 and32×23→32×25, gains128+64=192. Eight endpoint-only maps remain unrepaired; fixed intermediate2056 remains absent.",
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      "next_step": {
        "completed_step": "C431",
        "next_proposed_step": "C432",
        "question": "Audit the actual source identities and contexts of the new2148→2020→1956 factorization and its pivots3620/2756 directly from current passages. Check its+2 counterpart and inherited quarter components, keeping coordinate-path validity separate from a prescribed source operation or one Noah biography.",
        "reason_selected_after_current_result": "The all-pivot search found a positive exception. Its source and Gear qualifications now take priority over a generic completeness summary, before C433 consolidates the batch.",
        "executed": false,
        "authorization_remaining": 2,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
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    {
      "step": "C432",
      "title": "Source and component audit of the 128 plus 64 factorization",
      "main_result": "Nine current excerpts reconstruct18 records and two labelled paths for2148→2020→1956. Pivot3620 is SP companion Noah birth G1/C1/T0/F0;2756 is SP-primary or LXX-OFF Noah death G1/C0/T0/F1. The three stations are MT Shem-death states G2→G3→G1. The map equals(625t−307776)/529, effective pivot3206. Actual Noah biographies stay950; pivot gap864 crosses contexts. The+2 counterpart lacks2022 (analogous Gear4); no fixed quarter-component assignment passes. The composition is derived, not a reviewed combined source prescription.",
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      "next_step": {
        "completed_step": "C432",
        "next_proposed_step": "C433",
        "question": "Consolidate C424–C432, independently recompute the decisive finite/source-algebra results with a separate root implementation, audit the sealed packets, and publish C433 with reading index and recovery packages. Leave C434 unexecuted.",
        "reason_selected_after_current_result": "The four-template census, complete Mirror/harmonic tests and new source-qualified factorization now form a coherent bounded result. The final authorized step should verify and preserve that result before another branch is opened.",
        "executed": false,
        "authorization_remaining": 1,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
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    {
      "step": "C433",
      "title": "Four source templates and the 128 plus 64 factorization",
      "main_result": "C424–C433 complete. The46 labelled regular2K pairs at26 coordinate pairs reduce to four context offsets:458,708,1057,1059, with separate role and local companion terms. The Flood-start/Noah-death class is1058=350+650+60−2 and has16 labels/eight coordinates; it adds no second2K station within its fixed contexts. The sole coordinate-template overlap3298/2240 comes from distinct MT Noah-death and Flood-close contexts;349=130+215+4 also produces2300, whose required2K upper3358 is absent. All156 fixed17K join trials recover only existing C287 i2–i5, all in the458 template; companion rectangles do not remove narrower primary operator qualifications. The104 fixed-upper E/E²/P/J tests have13 sourced E and13 sourced E² outputs, no P/J outputs and four complete fixed-pivot Noah ladders. Nine Flood-held E coordinate arrows have20 labelled realizations: two two-Gear input families meet at2240, while the three-Gear strip uses Noah death2238, Noah death/Flood close2240, and Flood close2242, with Shem-death outputs2146/2148/2150. No Gear4 is admitted. The all-pivot squared-E search gives39 sourced pivot-pair solutions and five sourced coordinate paths. One is new:2148→2020→1956, using pivots3620 then2756, exactly the held3206 squared-E map. Its64×23→64×25 and32×23→32×25 legs give128+64=192. Pivot3620 is SP companion Noah birth G1/C1/T0/F0;2756 is SP-primary or LXX-OFF Noah death G1/C0/T0/F1. The stations are different MT Shem-death states G2→G3→G1. Their own Noah biographies remain950; pivot separation864 crosses contexts. The fixed3206 intermediate2056 remains absent. The+2 target still lacks2022; eight other endpoint-only squared-E maps remain unrepaired. Nine current source cards reconstruct18 relevant records; fixed quarter components do not follow the two fixed pivots, although jointly shifted comparisons remain exact. No combined source prescription, new phase, global529/Mirror action or canonical edit is established.",
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        "completed_step": "C433",
        "next_proposed_step": "C434",
        "question": "Test whether one source formula built from Noah950, the Noah–Shem500 relation, and the existing sojourn/Cainan/SP-companion context shift explains the new128+64 factorization. Then census its finite Gear/Terah family while requiring every pivot and intermediate to remain sourced, without fitting another anchor.",
        "reason_selected_after_current_result": "The positive factorization is now authenticated and its immediate limits are known. Explaining why these specific source roles and variant shifts produce its effective pivot is the next useful reduction; that source formula and family census have not been executed. The current authorization ends at C433.",
        "executed": false,
        "authorization_remaining": 0,
        "fixed_scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
      }
    }
  ],
  "archive_integrity_totals": {
    "packets": 10,
    "manifest_payloads": 285,
    "certificate_bindings": 123,
    "frozen_source_payloads": 152,
    "predecessor_links": 10,
    "main_output_comparisons": 20,
    "root_secondary_output_comparisons": 1,
    "successful_publications": 30
  },
  "source_access": {
    "File_18_File_09": "current bytes match retained controlling hashes",
    "File_02_File_46_File_11_C365": "current bytes match C423 frozen source manifest",
    "C265": "actual checkpoint readable; certificate hash retained"
  },
  "reading_index": {
    "path": "/workspace/scratch/2cd312e78692/deliverables/490d_C424_C433_Reading_Index_20260924.md",
    "sha256": "867189187ca6467157af54ce125ee46d13e6d4678abd638fee5ac3ba5b843141",
    "bytes": 13992
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  "recovery_packages": [
    {
      "path": "/workspace/scratch/2cd312e78692/deliverables/490d_C433_Compact_Restart_Kit_20260924.zip",
      "sha256": "b32134c1824e38a6cd6ef422a1345e0bed6024b080a098c31928332517cc2424",
      "bytes": 1899007,
      "verified_payloads": 306
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      "path": "/workspace/scratch/2cd312e78692/deliverables/490d_C424_C433_Continuation_Archive_20260924.zip",
      "sha256": "8c0b57983d07c2a7ba41857636d834d8c68a7104218971a033d2951c77da905c",
      "bytes": 4357368,
      "verified_payloads": 411
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  "self_hash_omitted_to_avoid_circularity": true
}