from research import *
rows=[r for r in json.loads((ROOT/'journal.json').read_text()) if r['step']<=730]
delivery=json.loads((ROOT/'deliverables/DELIVERY_MANIFEST.json').read_text())
s=begin(731,'Close the100-step research cycle','What completed state should govern the next continuation?',{'completed_before_closure':len(rows),'predecessor_record':rows[-1]['sha256'],'delivery_manifest_sha256':hashlib.sha256((ROOT/'deliverables/DELIVERY_MANIFEST.json').read_bytes()).hexdigest()},['C632–C730; eight independent reviews; latest File52c; Research Strategy'])
body='''# Research checkpoint after C731\n\n**28 September2026. Completed cycle:C632–C731,100 sequential bounded actions. Next unexecuted step:C732.**\n\nThe cycle includes source reconstruction, exact calculations, explanatory synthesis, independent review and verification. Every completed action has a recorded reassessment. Parallel agents prepared source packets, reviewed results and drafted the visual/text; numbered research actions remained sequential.\n\n## Main deliverables\n\n- 490d_Chronological_Families_Reading_Guide_C731.md: concise645-word explanation.\n- 490d_Chronological_Families_Integrated_Synthesis_C731.md: integrated3972-word working synthesis.\n- Chronological_Family_Connections.svg and.png: exact four-panel diagram.\n- Source_Claim_Register.md,Family_Claim_Dependencies.json,Chronological_Mode_Map.md: supporting source and dependency maps.\n- Complete journal, scripts, source snapshots, independent reviews and README in the evidence archive.\n\nThe final file identities are bound in DELIVERY_MANIFEST.json. Earlier checkpoint and review copies are historical states; the final reading versions control.\n\n## Larger explanatory result\n\nMT/LXX/SP are source traditions; regular/cumulative are measurements of source rows. Rounded realization retains its admitted scaffold and subdivisions. Translation, reflection, indexed carriers, phase-aware placement and calibrated span conversion connect the resulting families. Conserved measurements explain what stays fixed. Source placements and partitions remain explicit premises.\n\n## Principal new results\n\n1. Creation4251/4244/4237 and Joseph1885/1878/1871 form identical7+7 rails. Their full cross-matrix isT+7(j−i),T2366. The fixed14/26 offsets and168/180/182 half-calendar divisibilities giveT=2366+32760q;2366 is the least positive compatible member. Standard2236 differs by the least nonnegative compatible correction130. This is conditional compatibility, not a historical Cainan insertion theorem.\n2. One five-node template c+u(7,1,0,−6,−7) reconstructs standard/restored Creation and Terah:6|1|6|1 scales to60|10|60|10. Jacob/Joseph share its coarse triple only.\n3. File70 cumulative4900 is x(k)=5436−70k with supplied cuts49/50/57/69/70. The larger13475 spine has175-unit coefficients49|20|8. Whole-year displays and exact phases remain distinct.\n4. Supplement A core690=23×30 generates its full retained-flank table; six-node1470 is2c+3f=49f. The exact micro/core relation is(690,700,750)=20(34.5,35,37.5).\n5. Phase coordinates C+epsilon±w/2 generate the complete34/40 endpoint table. The120 and70 bodies sharing Nisan center2911 force25|35|35|25. The source’s symmetric corridor opening preserves Nisan center2871 through2910/2930/2940.\n6. Calibration gives336E(34.5)=360P(34.5)=364J(34.5)=12600. The12558-day micro volume and12558-year Actual interval share conversion structure, not units. Native Rounded9660|2940 under partialP/E gives12740/13440. Its effective total ratios91/90 and16/15 do not preserve the internal junction.\n7. Two anchored MT routes generate4346 because their190 source-state difference balances232−42 gains. Their1470 ladder and refined4900 path preserve named roles. The fixed directional690 matrix is explained by50=(E−P)690.\n8. The admitted12-node phase set closes under5842 with overlap inventory8/12/8/4 across the four supplied totals. Its fixed-template placement follows c+L=−c. This is affine reflection, not decimal reversal; the working-amendment status and remote limits remain.\n9. The inherited Actual–Rounded endpoint bridge and weighted4C+R conservation remain central. The primary12026 backbone continues to14726 by changing anchor1406→6 and appending the single-pass image4100 of the new1400 source leg; net+2700. The13016 refinement is a different branch.\n\n## Corrections and verification\n\nC703 corrects intermediate prose:2.5 additional336-day units=840days; native14006 differs from generated14146/14846; macro table is Supplement A§10.3. C718 corrects§13 locators. C721 relates phase charts by x=1/4−q. C722–C724 apply all manuscript-review refinements. Eight review notes found no required numerical correction.\n\nThe98-step prefix throughC729 passed exact read-only replay,285 named checks,25 frozen source hashes and25 available current source comparisons. After this checkpoint is recorded, VERIFY.json supplies the separate final100-step verdict and exact final check count. The final packager requires that verdict and binds the complete journal. Prior cycles were not rerun.\n\nLatest primaryFile52c SHA256:a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530. C631 predecessor SHA256:8da995fbc41dba4a3b78b59a6a6a316b712980b5052087bc963cd75e15db6351. The source manifest contains25 snapshots, including Strategy and the predecessor checkpoint/synthesis. Canonical sources are unchanged.\n\n## Continuing scope\n\nFile52c remains primary. Second decimal inversion remains deferred. Moses/1876 primers remain quarantined;1486 is not reopened. Gear stays at Noah/Shem/Flood, with no new upstream transport. Regular Cainan130 differs from cumulative460; main LXX Lamech182/753 and native Cainan ON remain controlled. SP653 inclusive and53rd-year52-completed distinctions remain intact. Civil BC+AD−1 and Rounded BC+AD−2 remain distinct; phase/source/generated roles are retained. No new statistical tally, global minimum or historical construction sequence is asserted.\n\n## Next unexecuted decision\n\nC732 should choose the next source-rich whole-family comparison that can extend this explanation across MT/LXX/SP, using the established source-state packets and retained-component grammar. Specify which source premises are shared, which change, and what result would discriminate between explanations before calculating. Give priority to explanatory transfer or independent transmission evidence; do not resume unrestricted endpoint hunting. This is a proposed next direction, not an executed step.\n'''
a=artifact('deliverables/490d_Research_Checkpoint_After_C731_20260928.md',body)
finish(s,{'checkpoint':a,'completed_range':[632,731],'completed_steps':100,'next_unexecuted':732,'final_reading_files':delivery['files']},'The authorized100-step cycle is complete. The final synthesis connects chronological traditions and realizations through explicit source structures, retained components, phase-aware geometry and calendar calibration. The next research decision remains unexecuted.','C732 is pending; carry forward this checkpoint and select the next discriminating whole-family comparison.',{'prefix_count':len(rows)==99,'sequence':[r['step'] for r in rows]==list(range(632,731)),'final_count':len(rows)+1==100,'delivery_bound':len(delivery['files'])==7})