{"version":1,"checkpoint":1635,"id":"joint-rounded-row-information","title":"Joint Rounded rows and residual information","start":1190,"end":1201,"count":12,"description":"Nearest-five row observations, finite residual fibres, lifespan constraints, remaining ambiguity and the distinction between reconstruction and independent discovery.","topicIds":["rounded","regular-cumulative"],"primaryTopicId":"rounded","entrypoints":[{"id":"c1190","title":"C1190 — Specify the joint Rounded-row observation","textURL":"/read/c1190.html","jsonURL":"/documents/c1190.json","download":"/sources/06f2e7db5fcfa6793c028f5e757ed3205aa471e32a9a61cf78a5cd5d282d47f1.md","filename":"C1190.md","sha256":"06f2e7db5fcfa6793c028f5e757ed3205aa471e32a9a61cf78a5cd5d282d47f1","role":"Research action"},{"id":"c1198","title":"C1198 — State the residual information needed to recover an ordinary row","textURL":"/read/c1198.html","jsonURL":"/documents/c1198.json","download":"/sources/85cf43b31c50dfbc26b320a719f31282548fb0fa0332bd6f1ccfc42db2b0044e.md","filename":"C1198.md","sha256":"85cf43b31c50dfbc26b320a719f31282548fb0fa0332bd6f1ccfc42db2b0044e","role":"Research action"},{"id":"c1201","title":"C1201 — Write the joint Rounded-row explanatory bridge","textURL":"/read/c1201.html","jsonURL":"/documents/c1201.json","download":"/sources/f02fd2852479762b598760477ea2539b62d5737bdb3f2558f45d7f69e9a6a70f.md","filename":"C1201.md","sha256":"f02fd2852479762b598760477ea2539b62d5737bdb3f2558f45d7f69e9a6a70f","role":"Research action"}],"sourceIds":[],"cycle":{"id":"row-grammar-c1431","title":"Complete source-row grammar and C1431 connected explanation","start":1132,"end":1431},"textURL":"/research/campaigns/joint-rounded-row-information.html","jsonURL":"/research/campaigns/joint-rounded-row-information.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":"c1190","step":1190,"title":"C1190 — Specify the joint Rounded-row observation","textURL":"/read/c1190.html","jsonURL":"/documents/c1190.json","download":"/sources/06f2e7db5fcfa6793c028f5e757ed3205aa471e32a9a61cf78a5cd5d282d47f1.md","sha256":"06f2e7db5fcfa6793c028f5e757ed3205aa471e32a9a61cf78a5cd5d282d47f1","evidenceLinks":[{"id":"d-dda331935947e8bc","title":"model/joint_rounding_observation.json","textURL":"/read/d-dda331935947e8bc.html","jsonURL":"/documents/d-dda331935947e8bc.json","download":"/sources/dda331935947e8bcd63cba12aa5afc9ec31aa3a07ca64995199c8529d7452d77.json","filename":"joint_rounding_observation.json","sha256":"dda331935947e8bcd63cba12aa5afc9ec31aa3a07ca64995199c8529d7452d77","role":"Evidence"},{"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":"c1191","step":1191,"title":"C1191 — Count the exact residual fibre","textURL":"/read/c1191.html","jsonURL":"/documents/c1191.json","download":"/sources/b383e1401798682b0b78b635e335ee80cb557c0d6e2570e7afd81ecb904c9a8d.md","sha256":"b383e1401798682b0b78b635e335ee80cb557c0d6e2570e7afd81ecb904c9a8d","evidenceLinks":[{"id":"d-675aded4ec0b4aa3","title":"model/joint_rounding_fibre_count.json","textURL":"/read/d-675aded4ec0b4aa3.html","jsonURL":"/documents/d-675aded4ec0b4aa3.json","download":"/sources/675aded4ec0b4aa373b5fb41a62a59b066ba872990fb481b07f80f5fd2ee610f.json","filename":"joint_rounding_fibre_count.json","sha256":"675aded4ec0b4aa373b5fb41a62a59b066ba872990fb481b07f80f5fd2ee610f","role":"Evidence"}]},{"id":"c1192","step":1192,"title":"C1192 — Compute joint Rounded fibres on all ordinary source rows","textURL":"/read/c1192.html","jsonURL":"/documents/c1192.json","download":"/sources/300378c94c44338543a5a11bd423fee6e1a03ec1e65b3afad3b5b1f4f9fcba49.md","sha256":"300378c94c44338543a5a11bd423fee6e1a03ec1e65b3afad3b5b1f4f9fcba49","evidenceLinks":[{"id":"d-1cb4a13c33bfabf1","title":"model/ordinary_joint_rounding_fibres.json","textURL":"/read/d-1cb4a13c33bfabf1.html","jsonURL":"/documents/d-1cb4a13c33bfabf1.json","download":"/sources/1cb4a13c33bfabf1020e463c99bd040a92121ec0f3ae9f96e5447592ad059df7.json","filename":"ordinary_joint_rounding_fibres.json","sha256":"1cb4a13c33bfabf1020e463c99bd040a92121ec0f3ae9f96e5447592ad059df7","role":"Evidence"},{"id":"d-1bd5961126532673","title":"model/complete_source_row_packet.json","textURL":"/read/d-1bd5961126532673.html","jsonURL":"/documents/d-1bd5961126532673.json","download":"/sources/1bd5961126532673e6fda1535befc5e64cf21d67d01a3c5e78d1a613bbb8ab59.json","filename":"complete_source_row_packet.json","sha256":"1bd5961126532673e6fda1535befc5e64cf21d67d01a3c5e78d1a613bbb8ab59","role":"Evidence"}]},{"id":"c1193","step":1193,"title":"C1193 — Measure the gain from the second rounded component","textURL":"/read/c1193.html","jsonURL":"/documents/c1193.json","download":"/sources/5f9659a0dd08e787a3e87c83b896c4f4448975ba1680ce2f98601b939d3df2db.md","sha256":"5f9659a0dd08e787a3e87c83b896c4f4448975ba1680ce2f98601b939d3df2db","evidenceLinks":[{"id":"d-64be39ff48facb6d","title":"model/joint_rounding_singleton_intersections.json","textURL":"/read/d-64be39ff48facb6d.html","jsonURL":"/documents/d-64be39ff48facb6d.json","download":"/sources/64be39ff48facb6d403eb3b77ed1258eb586e644ea46e6f4acc71aa1d8ad18ce.json","filename":"joint_rounding_singleton_intersections.json","sha256":"64be39ff48facb6d403eb3b77ed1258eb586e644ea46e6f4acc71aa1d8ad18ce","role":"Evidence"}]},{"id":"c1194","step":1194,"title":"C1194 — Inspect the main LXX Lamech joint ambiguity","textURL":"/read/c1194.html","jsonURL":"/documents/c1194.json","download":"/sources/3fb8f6d284dca0484d42a2c5ad2bca1da8795200f01c91ab76862c17792fbc84.md","sha256":"3fb8f6d284dca0484d42a2c5ad2bca1da8795200f01c91ab76862c17792fbc84","evidenceLinks":[{"id":"d-fadf71b03bb34e6c","title":"model/LXX_Lamech_joint_rounding_ambiguity.json","textURL":"/read/d-fadf71b03bb34e6c.html","jsonURL":"/documents/d-fadf71b03bb34e6c.json","download":"/sources/fadf71b03bb34e6c537cd1466cce62070877a8d0061e127067d395ea05a8ae01.json","filename":"LXX_Lamech_joint_rounding_ambiguity.json","sha256":"fadf71b03bb34e6c537cd1466cce62070877a8d0061e127067d395ea05a8ae01","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":"c1195","step":1195,"title":"C1195 — Summarize the full joint observation ambiguity","textURL":"/read/c1195.html","jsonURL":"/documents/c1195.json","download":"/sources/1f8f81b54ed46ad5767068ada95499473c2144e724c1941e4a3f81ec15c44fc4.md","sha256":"1f8f81b54ed46ad5767068ada95499473c2144e724c1941e4a3f81ec15c44fc4","evidenceLinks":[{"id":"d-43d77706b99348a3","title":"model/ordinary_joint_rounding_ambiguity_summary.json","textURL":"/read/d-43d77706b99348a3.html","jsonURL":"/documents/d-43d77706b99348a3.json","download":"/sources/43d77706b99348a303441412447f3e223d6ddb7189c1f94240874ff6c964f417.json","filename":"ordinary_joint_rounding_ambiguity_summary.json","sha256":"43d77706b99348a303441412447f3e223d6ddb7189c1f94240874ff6c964f417","role":"Evidence"}]},{"id":"c1196","step":1196,"title":"C1196 — Intersect Rounded fibres with the early equal-remainder relation","textURL":"/read/c1196.html","jsonURL":"/documents/c1196.json","download":"/sources/1af88e89e782ce0e6c7bc135b4e1b5e46677a1b22e3160871505da5188a6b045.md","sha256":"1af88e89e782ce0e6c7bc135b4e1b5e46677a1b22e3160871505da5188a6b045","evidenceLinks":[{"id":"d-5c76d1a7978ba621","title":"model/early_pair_rounding_relation.json","textURL":"/read/d-5c76d1a7978ba621.html","jsonURL":"/documents/d-5c76d1a7978ba621.json","download":"/sources/5c76d1a7978ba62189b3f22166a016fb9443399c0063a6ba53cdce442783599a.json","filename":"early_pair_rounding_relation.json","sha256":"5c76d1a7978ba62189b3f22166a016fb9443399c0063a6ba53cdce442783599a","role":"Evidence"}]},{"id":"c1197","step":1197,"title":"C1197 — Test late-block recovery under shared century operations","textURL":"/read/c1197.html","jsonURL":"/documents/c1197.json","download":"/sources/7508d6d3742192be2dfa08d45e97f8c400a02833985c4e2ccb38be563b0c0811.md","sha256":"7508d6d3742192be2dfa08d45e97f8c400a02833985c4e2ccb38be563b0c0811","evidenceLinks":[{"id":"d-7b23de1d3ad4c27e","title":"model/late_block_joint_rounding_recovery.json","textURL":"/read/d-7b23de1d3ad4c27e.html","jsonURL":"/documents/d-7b23de1d3ad4c27e.json","download":"/sources/7b23de1d3ad4c27eb643636c854a02745d7b03a84e9a3920e9f00a86d6309ed4.json","filename":"late_block_joint_rounding_recovery.json","sha256":"7b23de1d3ad4c27eb643636c854a02745d7b03a84e9a3920e9f00a86d6309ed4","role":"Evidence"}]},{"id":"c1198","step":1198,"title":"C1198 — State the residual information needed to recover an ordinary row","textURL":"/read/c1198.html","jsonURL":"/documents/c1198.json","download":"/sources/85cf43b31c50dfbc26b320a719f31282548fb0fa0332bd6f1ccfc42db2b0044e.md","sha256":"85cf43b31c50dfbc26b320a719f31282548fb0fa0332bd6f1ccfc42db2b0044e","evidenceLinks":[{"id":"d-0783a2d7611a7e79","title":"model/joint_rounding_residual_recovery.json","textURL":"/read/d-0783a2d7611a7e79.html","jsonURL":"/documents/d-0783a2d7611a7e79.json","download":"/sources/0783a2d7611a7e7908a1a1d4fd35ccb0353d9e71b1a0cffd1690be45463a06f5.json","filename":"joint_rounding_residual_recovery.json","sha256":"0783a2d7611a7e7908a1a1d4fd35ccb0353d9e71b1a0cffd1690be45463a06f5","role":"Evidence"}]},{"id":"c1199","step":1199,"title":"C1199 — Derive the row rounding carry from the hidden residual sum","textURL":"/read/c1199.html","jsonURL":"/documents/c1199.json","download":"/sources/7308f22ffef4fdd1a09f05c4eabc16dadc90ee38def3a025e33b7c161a5a141b.md","sha256":"7308f22ffef4fdd1a09f05c4eabc16dadc90ee38def3a025e33b7c161a5a141b","evidenceLinks":[{"id":"d-09df548a9ff72ded","title":"model/joint_rounding_carry_bridge.json","textURL":"/read/d-09df548a9ff72ded.html","jsonURL":"/documents/d-09df548a9ff72ded.json","download":"/sources/09df548a9ff72ded568e716ef1fca3f0cb17d025f60f6662d99181bdcbd7b46e.json","filename":"joint_rounding_carry_bridge.json","sha256":"09df548a9ff72ded568e716ef1fca3f0cb17d025f60f6662d99181bdcbd7b46e","role":"Evidence"}]},{"id":"c1200","step":1200,"title":"C1200 — Separate carry information from exact residual information","textURL":"/read/c1200.html","jsonURL":"/documents/c1200.json","download":"/sources/a261f90f67d335c768d0761ef3629b27a27e8a572fd9faec50289b68e2a12fca.md","sha256":"a261f90f67d335c768d0761ef3629b27a27e8a572fd9faec50289b68e2a12fca","evidenceLinks":[{"id":"d-92e6d16905b18c5e","title":"model/rounding_carry_information.json","textURL":"/read/d-92e6d16905b18c5e.html","jsonURL":"/documents/d-92e6d16905b18c5e.json","download":"/sources/92e6d16905b18c5ee3305c094f7ef6fc0af0339cb3dc69ba596d574bf7f12d12.json","filename":"rounding_carry_information.json","sha256":"92e6d16905b18c5ee3305c094f7ef6fc0af0339cb3dc69ba596d574bf7f12d12","role":"Evidence"}]},{"id":"c1201","step":1201,"title":"C1201 — Write the joint Rounded-row explanatory bridge","textURL":"/read/c1201.html","jsonURL":"/documents/c1201.json","download":"/sources/f02fd2852479762b598760477ea2539b62d5737bdb3f2558f45d7f69e9a6a70f.md","sha256":"f02fd2852479762b598760477ea2539b62d5737bdb3f2558f45d7f69e9a6a70f","evidenceLinks":[{"id":"d-f582659b5226cb2d","title":"deliverables/Joint_Rounded_Row_Information.md","textURL":"/read/d-f582659b5226cb2d.html","jsonURL":"/documents/d-f582659b5226cb2d.json","download":"/sources/f582659b5226cb2d9115eaaa9d572eff7f17c63c37f2e3cd4d8d088500a669fa.md","filename":"Joint_Rounded_Row_Information.md","sha256":"f582659b5226cb2d9115eaaa9d572eff7f17c63c37f2e3cd4d8d088500a669fa","role":"History"}]}]}