{"version":1,"checkpoint":1635,"id":"actual-rounded-junction","title":"Actual–Rounded inverse junction and decimal carries","start":932,"end":952,"count":21,"description":"Reduces the 12026 convergence to explicit totals, digit-register and carry conditions; preserves source partitions and the corrected original-tail provenance of 14726.","topicIds":["inverse","rounded"],"primaryTopicId":"inverse","entrypoints":[{"id":"c937","title":"C937 — Reduce the junction to two compatibility equations","textURL":"/read/c937.html","jsonURL":"/documents/c937.json","download":"/sources/49dc8002306ad8b942f46bd9c89442b6f79ea7fbdee7c296d61d8bceff5e1fd5.md","filename":"C937.md","sha256":"49dc8002306ad8b942f46bd9c89442b6f79ea7fbdee7c296d61d8bceff5e1fd5","role":"Research action"},{"id":"c939","title":"C939 — Classify the regular total without choosing its split","textURL":"/read/c939.html","jsonURL":"/documents/c939.json","download":"/sources/3e61f8b63b15e7d80ceec30e0c71156889fcbcf42cebb7fbdf564ad30ef805da.md","filename":"C939.md","sha256":"3e61f8b63b15e7d80ceec30e0c71156889fcbcf42cebb7fbdf564ad30ef805da","role":"Research action"},{"id":"c941","title":"C941 — Identify the cumulative carry condition","textURL":"/read/c941.html","jsonURL":"/documents/c941.json","download":"/sources/9e98bb7d2d3a2c37f15b7b1f3bc51f8af46870460aab28e73dfb70458ca5d60f.md","filename":"C941.md","sha256":"9e98bb7d2d3a2c37f15b7b1f3bc51f8af46870460aab28e73dfb70458ca5d60f","role":"Research action"},{"id":"c948","title":"C948 — Weight as a consequence of gains","textURL":"/read/c948.html","jsonURL":"/documents/c948.json","download":"/sources/e816bc605109db1c351bb41d32dcc2c5ac5e6cd3c9b19d00b8e58a7d72537517.md","filename":"C948.md","sha256":"e816bc605109db1c351bb41d32dcc2c5ac5e6cd3c9b19d00b8e58a7d72537517","role":"Research action"}],"sourceIds":[{"id":"file52c","title":"File_52c — Rounded Whole-Span Inverse Detailed Study","textURL":"/read/file52c.html","jsonURL":"/documents/file52c.json","download":"/sources/a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530.md","filename":"File_52c_Latest_Controlling_Draft.md","sha256":"a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530","role":"Source"},{"id":"d-d8aa38afb2a2df8f","title":"The Rounded Scaffold — Mod-5 Architecture Underlying Biblical Chronology","textURL":"/read/d-d8aa38afb2a2df8f.html","jsonURL":"/documents/d-d8aa38afb2a2df8f.json","download":"/sources/d8aa38afb2a2df8f3bb57937f5d3dea897c286c034a1bee7398938d30e7bd77c.md","filename":"File_51a.Rounded_Scaffold_Mod5_Architecture.md","sha256":"d8aa38afb2a2df8f3bb57937f5d3dea897c286c034a1bee7398938d30e7bd77c","role":"Source"}],"cycle":{"id":"constraints-recoverability","title":"Source constraints, SP caps and information recovery","start":932,"end":1131},"textURL":"/research/campaigns/actual-rounded-junction.html","jsonURL":"/research/campaigns/actual-rounded-junction.json","retrieval":{"currentAccount":{"id":"synthesis","title":"How the chronological families fit together","textURL":"/read/synthesis.html","jsonURL":"/documents/synthesis.json","download":"/sources/ba66fb0bf2403c72e020b065a0f1d1c775eb493af49c4676bb256a8113ee2dc7.md","filename":"490d_Chronological_Families_Explanation_Through_C1634_Portable.md","sha256":"ba66fb0bf2403c72e020b065a0f1d1c775eb493af49c4676bb256a8113ee2dc7","role":"Synthesis"},"sourceGuideURL":"/study-documents/index.html","sourceGuideMarkdownURL":"/study-documents/source-guide.md","fullCatalogURL":"/catalog.json","instructions":["Read the current explanation, then select the topic matching your question. A topic may join several separate research campaigns.","Read the selected Start here documents before opening a complete numbered-record list. Follow their cited source editions and evidence links as needed.","Use a campaign for one contiguous line of study; use a topic to find related work revisited across campaigns. The topic and campaign JSON lists contain links and edition hashes, not document bodies.","Original numbered records retain their historical scope and source assumptions. Later corrections, accepted source decisions and the current synthesis govern the present account.","If a subject is absent from the published Knowledge Catalog, consult Study documents and the source guide for supporting studies used or referenced in the C-series research."],"classificationNote":"These sections are an editorial navigation map of preserved research. Classification does not revalidate arithmetic or promote every historical finding to an accepted conclusion."},"members":[{"id":"c932","step":932,"title":"C932 — Map independent premises at the Actual–Rounded junction","textURL":"/read/c932.html","jsonURL":"/documents/c932.json","download":"/sources/a8fc3cf677ddcabbb2eb53383f6a0fff9144b2a19dc6770287fd3d9334d9328f.md","sha256":"a8fc3cf677ddcabbb2eb53383f6a0fff9144b2a19dc6770287fd3d9334d9328f","evidenceLinks":[{"id":"d-d76b5b78711cddd3","title":"model/junction_dependency_map.json","textURL":"/read/d-d76b5b78711cddd3.html","jsonURL":"/documents/d-d76b5b78711cddd3.json","download":"/sources/d76b5b78711cddd3b3178d3451c24a0a55228b7ad8d1e294dd64776ff26bc26f.json","filename":"junction_dependency_map.json","sha256":"d76b5b78711cddd3b3178d3451c24a0a55228b7ad8d1e294dd64776ff26bc26f","role":"Evidence"},{"id":"file52c","title":"File 52c","textURL":"/read/file52c.html","jsonURL":"/documents/file52c.json","download":"/sources/a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530.md","filename":"File_52c_Latest_Controlling_Draft.md","sha256":"a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530","role":"Source"},{"id":"d-d8aa38afb2a2df8f","title":"File 51a","textURL":"/read/d-d8aa38afb2a2df8f.html","jsonURL":"/documents/d-d8aa38afb2a2df8f.json","download":"/sources/d8aa38afb2a2df8f3bb57937f5d3dea897c286c034a1bee7398938d30e7bd77c.md","filename":"File_51a.Rounded_Scaffold_Mod5_Architecture.md","sha256":"d8aa38afb2a2df8f3bb57937f5d3dea897c286c034a1bee7398938d30e7bd77c","role":"Source"}]},{"id":"c933","step":933,"title":"C933 — Freeze the primitive junction packet","textURL":"/read/c933.html","jsonURL":"/documents/c933.json","download":"/sources/c34edfe821cb0fa1d7d6908e7a991be15f7f09da784f5e589ce66a993d52ff94.md","sha256":"c34edfe821cb0fa1d7d6908e7a991be15f7f09da784f5e589ce66a993d52ff94","evidenceLinks":[{"id":"d-0836c9e165e82863","title":"model/junction_source_packet.json","textURL":"/read/d-0836c9e165e82863.html","jsonURL":"/documents/d-0836c9e165e82863.json","download":"/sources/0836c9e165e828632d014a39a6993765e6abf7f528fbf81b630f8898c530b2ca.json","filename":"junction_source_packet.json","sha256":"0836c9e165e828632d014a39a6993765e6abf7f528fbf81b630f8898c530b2ca","role":"Evidence"},{"id":"file52c","title":"File 52c","textURL":"/read/file52c.html","jsonURL":"/documents/file52c.json","download":"/sources/a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530.md","filename":"File_52c_Latest_Controlling_Draft.md","sha256":"a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530","role":"Source"}]},{"id":"c934","step":934,"title":"C934 — Replace six dates by a reversible path-coordinate packet","textURL":"/read/c934.html","jsonURL":"/documents/c934.json","download":"/sources/3f93acfb7f6eaf4a081de1356f6c47e32dd53f947beacc9d38288edea6143c6e.md","sha256":"3f93acfb7f6eaf4a081de1356f6c47e32dd53f947beacc9d38288edea6143c6e","evidenceLinks":[{"id":"d-29fbe2ce30c47b21","title":"model/junction_path_coordinates.json","textURL":"/read/d-29fbe2ce30c47b21.html","jsonURL":"/documents/d-29fbe2ce30c47b21.json","download":"/sources/29fbe2ce30c47b217936b1ca1fbaf3003a76af26a370fb7a46506be8848bfee8.json","filename":"junction_path_coordinates.json","sha256":"29fbe2ce30c47b217936b1ca1fbaf3003a76af26a370fb7a46506be8848bfee8","role":"Evidence"}]},{"id":"c935","step":935,"title":"C935 — Identify the placement-free junction claims","textURL":"/read/c935.html","jsonURL":"/documents/c935.json","download":"/sources/17a684bc388ca62e189fecbfffce370142439f039c15913b6a4d017f24bac384.md","sha256":"17a684bc388ca62e189fecbfffce370142439f039c15913b6a4d017f24bac384","evidenceLinks":[{"id":"d-84e102d562ee17f6","title":"model/junction_translation_quotient.json","textURL":"/read/d-84e102d562ee17f6.html","jsonURL":"/documents/d-84e102d562ee17f6.json","download":"/sources/84e102d562ee17f6a89c1a1dd8005aef1f36797e69c931943a2f8503adc025ae.json","filename":"junction_translation_quotient.json","sha256":"84e102d562ee17f6a89c1a1dd8005aef1f36797e69c931943a2f8503adc025ae","role":"Evidence"}]},{"id":"c936","step":936,"title":"C936 — Audit the origin of the weighted coefficient","textURL":"/read/c936.html","jsonURL":"/documents/c936.json","download":"/sources/7ba50d9ce447692f53fed22de9c880d31288379153ef8f3293148da3afb49b7d.md","sha256":"7ba50d9ce447692f53fed22de9c880d31288379153ef8f3293148da3afb49b7d","evidenceLinks":[{"id":"d-92d82acb42bcd7f7","title":"model/weighted_coefficient_provenance.json","textURL":"/read/d-92d82acb42bcd7f7.html","jsonURL":"/documents/d-92d82acb42bcd7f7.json","download":"/sources/92d82acb42bcd7f7940cfeb31d8d1845f4461ea044ed0ca21f1e7526c2854daa.json","filename":"weighted_coefficient_provenance.json","sha256":"92d82acb42bcd7f7940cfeb31d8d1845f4461ea044ed0ca21f1e7526c2854daa","role":"Evidence"},{"id":"file52c","title":"File 52c","textURL":"/read/file52c.html","jsonURL":"/documents/file52c.json","download":"/sources/a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530.md","filename":"File_52c_Latest_Controlling_Draft.md","sha256":"a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530","role":"Source"}]},{"id":"c937","step":937,"title":"C937 — Reduce the junction to two compatibility equations","textURL":"/read/c937.html","jsonURL":"/documents/c937.json","download":"/sources/49dc8002306ad8b942f46bd9c89442b6f79ea7fbdee7c296d61d8bceff5e1fd5.md","sha256":"49dc8002306ad8b942f46bd9c89442b6f79ea7fbdee7c296d61d8bceff5e1fd5","evidenceLinks":[{"id":"d-c54a809385ab05bc","title":"model/junction_reduced_constraints.json","textURL":"/read/d-c54a809385ab05bc.html","jsonURL":"/documents/d-c54a809385ab05bc.json","download":"/sources/c54a809385ab05bc7b681abdec7a2251e0b0b24e6392203096838a7fd56d560d.json","filename":"junction_reduced_constraints.json","sha256":"c54a809385ab05bc7b681abdec7a2251e0b0b24e6392203096838a7fd56d560d","role":"Evidence"}]},{"id":"c938","step":938,"title":"C938 — Derive the aggregate-digit measurement","textURL":"/read/c938.html","jsonURL":"/documents/c938.json","download":"/sources/7d10a2668d30117acaa70789d842b38f1c12db7e23c0fc815f1876ebf1eb637b.md","sha256":"7d10a2668d30117acaa70789d842b38f1c12db7e23c0fc815f1876ebf1eb637b","evidenceLinks":[{"id":"d-47b2822a45807d8d","title":"model/junction_aggregate_digits.json","textURL":"/read/d-47b2822a45807d8d.html","jsonURL":"/documents/d-47b2822a45807d8d.json","download":"/sources/47b2822a45807d8dc2e74dee75eba52bf5fcdf3da83a0e05348f2fde6f27285f.json","filename":"junction_aggregate_digits.json","sha256":"47b2822a45807d8dc2e74dee75eba52bf5fcdf3da83a0e05348f2fde6f27285f","role":"Evidence"}]},{"id":"c939","step":939,"title":"C939 — Classify the regular total without choosing its split","textURL":"/read/c939.html","jsonURL":"/documents/c939.json","download":"/sources/3e61f8b63b15e7d80ceec30e0c71156889fcbcf42cebb7fbdf564ad30ef805da.md","sha256":"3e61f8b63b15e7d80ceec30e0c71156889fcbcf42cebb7fbdf564ad30ef805da","evidenceLinks":[{"id":"d-f9d187f9c7b11dc2","title":"model/regular_total_register_theorem.json","textURL":"/read/d-f9d187f9c7b11dc2.html","jsonURL":"/documents/d-f9d187f9c7b11dc2.json","download":"/sources/f9d187f9c7b11dc28a628fe305a5255b2b8cceace0f6aefb9afbc0d0c91fba36.json","filename":"regular_total_register_theorem.json","sha256":"f9d187f9c7b11dc28a628fe305a5255b2b8cceace0f6aefb9afbc0d0c91fba36","role":"Evidence"}]},{"id":"c940","step":940,"title":"C940 — Classify the cumulative total without choosing its split","textURL":"/read/c940.html","jsonURL":"/documents/c940.json","download":"/sources/1d27317ed5cbc8b3f2f7ae471b565788a4c131fe55986c02060bf6b9976d11c0.md","sha256":"1d27317ed5cbc8b3f2f7ae471b565788a4c131fe55986c02060bf6b9976d11c0","evidenceLinks":[{"id":"d-42af6707e19f66e3","title":"model/cumulative_total_register_theorem.json","textURL":"/read/d-42af6707e19f66e3.html","jsonURL":"/documents/d-42af6707e19f66e3.json","download":"/sources/42af6707e19f66e32dd460e5e47a6ecd99fe9de8cba5d43f2233581bb8c126f2.json","filename":"cumulative_total_register_theorem.json","sha256":"42af6707e19f66e32dd460e5e47a6ecd99fe9de8cba5d43f2233581bb8c126f2","role":"Evidence"}]},{"id":"c941","step":941,"title":"C941 — Identify the cumulative carry condition","textURL":"/read/c941.html","jsonURL":"/documents/c941.json","download":"/sources/9e98bb7d2d3a2c37f15b7b1f3bc51f8af46870460aab28e73dfb70458ca5d60f.md","sha256":"9e98bb7d2d3a2c37f15b7b1f3bc51f8af46870460aab28e73dfb70458ca5d60f","evidenceLinks":[{"id":"d-3f78df424cb42b90","title":"model/cumulative_branch_condition.json","textURL":"/read/d-3f78df424cb42b90.html","jsonURL":"/documents/d-3f78df424cb42b90.json","download":"/sources/3f78df424cb42b90e957a9442344a88de8b55ec16066738f53b2274a6e0d4c70.json","filename":"cumulative_branch_condition.json","sha256":"3f78df424cb42b90e957a9442344a88de8b55ec16066738f53b2274a6e0d4c70","role":"Evidence"}]},{"id":"c942","step":942,"title":"C942 — One carry exchange","textURL":"/read/c942.html","jsonURL":"/documents/c942.json","download":"/sources/b4599975fb51cb9c29255d7f4f977c006e1d068d38fec55d281f23e2226057d1.md","sha256":"b4599975fb51cb9c29255d7f4f977c006e1d068d38fec55d281f23e2226057d1","evidenceLinks":[]},{"id":"c943","step":943,"title":"C943 — Aggregate projection kernel","textURL":"/read/c943.html","jsonURL":"/documents/c943.json","download":"/sources/07ecbedbf6be88dc53305918e523889438f29bc54484c82c517777d28cd78021.md","sha256":"07ecbedbf6be88dc53305918e523889438f29bc54484c82c517777d28cd78021","evidenceLinks":[]},{"id":"c944","step":944,"title":"C944 — Bounded aggregate identifiability","textURL":"/read/c944.html","jsonURL":"/documents/c944.json","download":"/sources/ce1cbd3aad98d8321b7d848277756e3c20bc93290e9d91bc11bae1ebb63f1630.md","sha256":"ce1cbd3aad98d8321b7d848277756e3c20bc93290e9d91bc11bae1ebb63f1630","evidenceLinks":[]},{"id":"c945","step":945,"title":"C945 — Component allocation remains hidden","textURL":"/read/c945.html","jsonURL":"/documents/c945.json","download":"/sources/e9b47677bf8cc53bc0ac3cd1e1959c7194ac0070a17b4f79a8858279e6c10b1b.md","sha256":"e9b47677bf8cc53bc0ac3cd1e1959c7194ac0070a17b4f79a8858279e6c10b1b","evidenceLinks":[]},{"id":"c946","step":946,"title":"C946 — Regular allocation formula","textURL":"/read/c946.html","jsonURL":"/documents/c946.json","download":"/sources/0b9eb65bcd4de40d7f957b4bc8b4d5a0781cd8ee47a276c54f77b6b199ad5819.md","sha256":"0b9eb65bcd4de40d7f957b4bc8b4d5a0781cd8ee47a276c54f77b6b199ad5819","evidenceLinks":[]},{"id":"c947","step":947,"title":"C947 — A diagnostic against tautology","textURL":"/read/c947.html","jsonURL":"/documents/c947.json","download":"/sources/9773d55f299356e9718fda1f93404021dcd42c33994beae6c4b960cd3fa67d84.md","sha256":"9773d55f299356e9718fda1f93404021dcd42c33994beae6c4b960cd3fa67d84","evidenceLinks":[]},{"id":"c948","step":948,"title":"C948 — Weight as a consequence of gains","textURL":"/read/c948.html","jsonURL":"/documents/c948.json","download":"/sources/e816bc605109db1c351bb41d32dcc2c5ac5e6cd3c9b19d00b8e58a7d72537517.md","sha256":"e816bc605109db1c351bb41d32dcc2c5ac5e6cd3c9b19d00b8e58a7d72537517","evidenceLinks":[]},{"id":"c949","step":949,"title":"C949 — Junction premise ledger","textURL":"/read/c949.html","jsonURL":"/documents/c949.json","download":"/sources/955517a45a3346c459a52f316746dde3023b8b5f3fcde3b995bf53a82900f321.md","sha256":"955517a45a3346c459a52f316746dde3023b8b5f3fcde3b995bf53a82900f321","evidenceLinks":[{"id":"d-090dcf9d8d2bcbc9","title":"model/junction_premise_ledger.json","textURL":"/read/d-090dcf9d8d2bcbc9.html","jsonURL":"/documents/d-090dcf9d8d2bcbc9.json","download":"/sources/090dcf9d8d2bcbc94b7825775fd32901dc5c457eee61fa5d923b2fef1b68ce8a.json","filename":"junction_premise_ledger.json","sha256":"090dcf9d8d2bcbc94b7825775fd32901dc5c457eee61fa5d923b2fef1b68ce8a","role":"Evidence"}]},{"id":"c950","step":950,"title":"C950 — Regenerate junction consequences","textURL":"/read/c950.html","jsonURL":"/documents/c950.json","download":"/sources/547d94b935dcd96a71e8a62914ac51be5cfa29a19482980f47aa43ac65ddec5e.md","sha256":"547d94b935dcd96a71e8a62914ac51be5cfa29a19482980f47aa43ac65ddec5e","evidenceLinks":[{"id":"d-47bbd6815ab11761","title":"model/junction_regenerated.json","textURL":"/read/d-47bbd6815ab11761.html","jsonURL":"/documents/d-47bbd6815ab11761.json","download":"/sources/47bbd6815ab11761616f16aaec0315dc44f9eb75539f9f475fba79a74f62b8a8.json","filename":"junction_regenerated.json","sha256":"47bbd6815ab11761616f16aaec0315dc44f9eb75539f9f475fba79a74f62b8a8","role":"Evidence"}]},{"id":"c951","step":951,"title":"C951 — First reassessment checkpoint","textURL":"/read/c951.html","jsonURL":"/documents/c951.json","download":"/sources/01d9e4cd49fb9945b626218b61477c94eb6552148f169262372786168ff6ad78.md","sha256":"01d9e4cd49fb9945b626218b61477c94eb6552148f169262372786168ff6ad78","evidenceLinks":[{"id":"d-7151a81a37e5ebfc","title":"model/checkpoint_951.json","textURL":"/read/d-7151a81a37e5ebfc.html","jsonURL":"/documents/d-7151a81a37e5ebfc.json","download":"/sources/7151a81a37e5ebfc0a444a62303d21b32394313ced7406e0b287e657f2987e08.json","filename":"checkpoint_951.json","sha256":"7151a81a37e5ebfc0a444a62303d21b32394313ced7406e0b287e657f2987e08","role":"Evidence"},{"id":"d-68301ab760bfbe2e","title":"File 18","textURL":"/read/d-68301ab760bfbe2e.html","jsonURL":"/documents/d-68301ab760bfbe2e.json","download":"/sources/68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5.md","filename":"38-File_18.Chronological_Data_Tables-20260919-141048-.md","sha256":"68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5","role":"Source"}]},{"id":"c952","step":952,"title":"C952 — Correct continuation provenance","textURL":"/read/c952.html","jsonURL":"/documents/c952.json","download":"/sources/1ce0a810b2e9b3b499b0df021afbcd97e4abb8966ea2aa2ff72a46d72d5f894c.md","sha256":"1ce0a810b2e9b3b499b0df021afbcd97e4abb8966ea2aa2ff72a46d72d5f894c","evidenceLinks":[{"id":"d-b745187dcd146e77","title":"model/junction_continuation_correction.json","textURL":"/read/d-b745187dcd146e77.html","jsonURL":"/documents/d-b745187dcd146e77.json","download":"/sources/b745187dcd146e779fc16b5cb7cf7b1d16a14832cb28db546fb566e4934af9ce.json","filename":"junction_continuation_correction.json","sha256":"b745187dcd146e779fc16b5cb7cf7b1d16a14832cb28db546fb566e4934af9ce","role":"Evidence"},{"id":"file52c","title":"File 52c","textURL":"/read/file52c.html","jsonURL":"/documents/file52c.json","download":"/sources/a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530.md","filename":"File_52c_Latest_Controlling_Draft.md","sha256":"a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530","role":"Source"}]}]}