{"as_of":"2026-08-18T19:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:362cc0e7ba3e48e2b64aa9db5a9a4c7b0e00e5ea458168595d4ef2470e10f084","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T18:57:00.563820Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.18604/citation-record","integrity":"/paper/2606.18604/integrity","json":"/paper/2606.18604/citation-record.json","paper":"/paper/2606.18604"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"The Perimeter-Area Relation","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:d0df029d27f211aa496b306defa461a7e7d3f774d4fc4de8a7afa8cbc7b98740","observation_id":"9e00c0cb-0c3f-412b-a861-7f0586e42d6e","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Soap, cells and statistics —random patterns in two dimensions","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:b67c3cac927ba267481d7fb18b60e2e3c9fcc63d0ae417dbaba47d1347e9b97a","observation_id":"26880e6a-c47b-41b8-bf70-b9ac3d8965ce","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"The kinetics of cellular patterns","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:6699520c3538d1a560d32c7b27442a653a4eefb74e8054030e2de80a6eb20856","observation_id":"ee42ccce-1098-4ce0-ae67-ca679f3748ea","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Equilibrium states and ground state of two-dimensional fluid foams","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:a19b3c6ed94862a75ccecf48e37c98598a80c7658d867f3de3713b2e40b84fc9","observation_id":"097fd3ec-1302-45b0-b124-cb7d98f84172","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Topological correlations in Bénard -Marangoni convective structures","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:b3128a55f129398775fb7146a349665dab09d203f5ffab21b6e3e0fb25a1c127","observation_id":"9a040ae3-3f00-472e-a467-afb199b1febd","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Boundary effects in biological planar networks: pentagons dominate Pyropia marginal cells","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:aee3d1b66b9dc5744531cecaf20239100e8577d90f2d97beea493fd380fe664a","observation_id":"9da41055-5bbb-4549-af84-b54749b58b37","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Vertex models capturing subcellular scales in epithelial tissues","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:af8d8ad796e44fa166bd67470a5d62536e98e9e91ba0d492e50190885b0bbcf3","observation_id":"eb186270-fd7e-4d78-b4f1-2cba4623c6c7","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Vertex stability and topological transitions in vertex models of foams and epithelia","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:992c5661c8b90fc1d5364113e9a5bcf93ee67b24da52b94a593eb5cb1c4a2f35","observation_id":"0ec1bf14-009a-4a08-82b6-7b56a54c03b1","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Vertex models of epithelial morphogenesis","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:067c726d1af433099b5c684e2b66a259b9ffd98c62f14f89a2497f97445e71b8","observation_id":"e1db2c49-1368-4187-a7db-5745a097ca55","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"A curvature -driven vertex model for two-dimensional grain growth","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:53068a0fa6a77ebd46eb2813a9471a53a41357c04766cc3ede343001a4ce942d","observation_id":"ab6cff37-7a9a-4abd-affc-229658c97895","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Scaling behavior of two -dimensional domain growth: Computer simulation of vertex models","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:69146248a48e1a388a85694ba032a09392f9990c78908e496ef7d404fbe760a4","observation_id":"705f9656-e196-4a42-9d47-7311211d76ec","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"A Nonlinear Vertex -based Model for Animation of Two-dimensional Dry Fo am","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:bc3afdc603d8e27dec1c45d425e6fcadb39d7867a010a1f6baeda040deb80c4a","observation_id":"d14402f5-fc20-4e6d-8fba-d68976944c80","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Tissue fluidity promotes epithelial wound healing","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:2b10000f6479ed90362adfd0af62ada98b57f2dae1ea7e3c9cd8c790fdda829a","observation_id":"6654bb3f-c745-493c-ba9a-eab6d831f142","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"A geometry -based relaxation algorithm for equilibrating a trivalent polygonal network in two dimensions and its implications","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:d3e3ee37bdae1e4ce3487c681c9a8f0e268138d4cb54a082e2287653a7714034","observation_id":"8da7a312-0e86-4c90-ba3e-47b0c2d2669b","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Dynamic crushing of 2D cellular structures: A finite element study","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:9ae98c61e5be0ed15056997a234fc5eb803c7b371802e81ff5ca79fd8fc657dc","observation_id":"3b908546-4a16-4442-9345-92ec302b1cb6","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Fitting quadratic curves to data points","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:dce9422a32055cef120e30875d622b0176b39e195b18e0200df09da790f01b81","observation_id":"f1b2208c-fdeb-4383-89d4-b321ff1efc1d","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Building block analysis of 2D amorphous networks reveals medium range correlation","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:50b991badd98ad2e3493fc2ff15deae8733c654502de08339bbcc2fa055d1c5f","observation_id":"9b9c22c1-fb0e-40b8-b283-ddf1086b3a51","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Cell s tile a flat plane by controlling geometries during morphogenesis of Pyropia thalli","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:2fcb0d5df16de7b73c03e38a9921f3755948a0a03f88612c1baea8a1d888c966","observation_id":"b3465cd6-d73a-4803-9e11-c77a81b787e3","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"The emergence of geometric order in proliferating metazoan epithelia","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:21b6af0b5cc44fb748999b8c75baec4c5d4d2f30f9db1dfc9d46fb476d1ded09","observation_id":"d27da301-d18c-461c-95a8-8a975e6e9a43","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Control of the Mitotic Cleavage Plane by Local Epithelial Topology","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:7b95bc9af963f85969d0634e6071df424a11cf9695fa3efb45122f22b6091542","observation_id":"aa06cd4a-1aa2-4597-a50d-a14a0769af6d","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"EpiTools: 12 an open-source image analysis toolkit for quantifying epithelial growth dynamics","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:be58cc88aa3ea58a083703dc4dfa145162f3fa573699d54f39a9cea11e7c28c0","observation_id":"42289adb-3f41-49d4-98d4-201ebb71a563","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Hexagonal packing of Drosophila wing epithelial cells by the planar cell pol arity pathway","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:8510e49e8cb796672b51d2a8534515eeb1ba56c61811f25e3f128bf7119d8627","observation_id":"efdbaf92-fa0d-4ef8-84ce-935835ddd2df","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Two‐dimensional motion of idealized grain boundaries","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:4f0efc2626d7e0c8c4015830e5c02e0cbdd4b417cbe8dc8cd1abc536bb7c0eb8","observation_id":"926855dd-f984-4bb5-8dcd-ca86b327738c","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"In: Herring C, editor","venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:643360efd5d399fee5c28c5eec930601a879e97122502e81120d874c9c57b0e6","observation_id":"c90c6e9f-2afc-4995-b1cf-8de2c7fa4ae5","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Fluid Networks","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:fd5a1011420d0f5aaa800b9bdc9e3cb540f0974bd11b123bed6292dbce414738","observation_id":"5414aa72-a482-484f-b9ac-d462320d33a7","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Numerical studies of foam dynamics: University of Califo rnia, San Diego; 1991","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:5ffcf9529621aff5350cf712db00c79ebfd47367135e0b3ecd120cc764a2c64a","observation_id":"f2752469-24fa-4d9e-b0f2-56f01735b9df","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Vertex models for two-dimensional grain growth","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:e4be0a99d394c94691d287213d578e001750f278653de00037aec039e7562878","observation_id":"2fe8ac85-f8bc-44b0-8bc3-89a780bc8bda","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Ellipse packing in two -dimensional cell tessellation: a theoretical explanation for Lewis’s law and Aboav-Weaire’s law","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:f4c541967757514db27bab800fb0237f578ef54e8f55a9dc9f752ea370583d61","observation_id":"926e7ea9-8b6a-4ef4-bcee-3e8268f5eb9d","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Geometric formulas of Lewis’s law and Aboav -Weaire’s law in two dimensions based on ellipse packing","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:27fc4ff8bfdbb895025b310fbb84009d6e32f7647df10f06baad0188e3e721da","observation_id":"86a7f182-5edb-47cb-aff3-2571d2728f2b","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"The characteristics of maximum inscribed and minimum circumscribed polygons of ellipse (in Chinese)","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:d4c5a91c092842fb2b52fa5ed9b65b5c0cfb24440de4b3d789481887b8af2373","observation_id":"dc0c0a75-d528-472f-a769-e992dccff759","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Structure-dependent mobility of a dry aqueous foam flowing along two parallel channels","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:3c2be157a3e3c238ad9047c966f9e79fa4504a52543a5107e57acba50ffc280e","observation_id":"98a72f63-5ce0-4eba-826b-a3edca005315","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Viscous froth model applied to the motion and topological transformations of two-dimensional bubbles in a channel: three-bubble case","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:671463e0dbd6fe0606f6e78a92428b2ddac8c5a3c1d2fbdd88c05db4ee61653f","observation_id":"ccc88e08-4e7b-4da7-9e93-b34761d27d85","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T18:57:00.563820Z","title":"Dynamics of two -dimensional soap froths","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-26T18:57:00.563820Z"},"links":{"citing_paper":"/paper/2606.18604"},"observation_digest":"sha256:5fa58857c10beb0a0f44e891a6e5d50cdc42384008854a7ec6c1efd5847f3cfe","observation_id":"cb0e3714-2bc6-4aa0-a1d7-89c902f46045","resolution":{"observed_at":"2026-06-26T18:57:00.563820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.18604","last_updated":"2026-06-17T02:08:50Z","latest_version":1,"primary_category":"physics.bio-ph","snapshot_observed_at":"2026-07-06T23:53:59.519305Z","submitted_at":"2026-06-17T02:08:50Z","title":"A symmetric relaxation method for entire two-dimensional cellular networks and its implications"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":33},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2606.18604."}