{"as_of":"2026-08-08T06:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f675373c2f6ed91b4f6eccd03171ad8e91c7dc1e2d3e202597201cfdf385f0f6","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:13:51.986670Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.03138/citation-record","integrity":"/paper/2506.03138/integrity","json":"/paper/2506.03138/citation-record.json","paper":"/paper/2506.03138"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.04576","last_updated":"2025-01-08T15:46:00Z","snapshot_observed_at":"2026-07-06T20:18:16.913397Z","submitted_at":"2025-01-08T15:46:00Z","title":"Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension","version":1},"cited_work":{"arxiv_id":"2501.04576","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.04576","snapshot_observed_at":"2026-08-07T11:13:52.639530Z","title":"Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension","venue":"math.AP","work_id":"5d790cbd-b370-4154-9373-330948c5c067","year":2025},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:47.995702Z"},"links":{"cited_paper":"/paper/2501.04576","citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:529381e776457f2c53e2fdbac5ace7d59992a658946d69731eabf775287ba08a","observation_id":"febc2abd-30b3-45a6-b9e3-d384d2588c4f","resolution":{"observed_at":"2026-08-07T11:13:52.719851Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.04365","last_updated":"2022-05-09T15:05:32Z","snapshot_observed_at":"2026-07-06T13:08:07.238190Z","submitted_at":"2022-05-09T15:05:32Z","title":"Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension","version":1},"cited_work":{"arxiv_id":"2205.04365","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.04365","snapshot_observed_at":"2026-08-07T11:13:52.455259Z","title":"Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension","venue":"math.AP","work_id":"7b4d701b-af45-435b-9eb5-78e1bec9565c","year":2022},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.097429Z"},"links":{"cited_paper":"/paper/2205.04365","citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:1f5bf8e300165ad3e61b0ae405f4b6a91c9e09093a20e207ef589f0e653d39b9","observation_id":"b782380f-1977-4b82-a472-241e9cde33a3","resolution":{"observed_at":"2026-08-07T11:13:52.552277Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:14:00.112708Z","title":"Active fin- gering instability in tissue spreading","venue":null,"work_id":"a6ea5fc8-c58d-488c-a80c-b5217d2f9751","year":2019},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.190657Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:e1a995f9a904b953c5072d3f4eb3b65aaf572dd34f71d652f922a811206d0cbd","observation_id":"fe5934a2-f69e-4c2f-861c-3b34b5719eb2","resolution":{"observed_at":"2026-08-07T11:14:00.282913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:59.852427Z","title":"Bacterial active matter","venue":null,"work_id":"dc21cdb7-4dcd-4738-b5ab-d89f47345004","year":2022},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.274997Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:85c64c763e82349dc2b02c6f0304c85bc724d1c3e5b83354afb9b8e22c666095","observation_id":"47665c0c-3dfc-446e-ab05-dcbf9c4b0d42","resolution":{"observed_at":"2026-08-07T11:13:59.969062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:59.579145Z","title":"Adhesion-dependent wave generation in crawling cells","venue":null,"work_id":"cbc7f262-97d5-4970-9905-16744d7a1448","year":2017},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.396567Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:8ecb0d81439e9eea4d5925208aae9ede53a73f051adbd112a0a151c5cb185368","observation_id":"c2ac3420-fa0e-4db2-9ddb-45cd494f56c1","resolution":{"observed_at":"2026-08-07T11:13:59.707501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:59.280510Z","title":"An adhesion-dependent switch between mechanisms that determine motile cell shape","venue":null,"work_id":"22defabb-4e22-4cb3-85c5-6ca483856ec4","year":2011},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.499785Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:ec9d8013cff2f5da711d75de05f07f2929137847585222bffcac106d858c2998","observation_id":"3e61df5c-9029-435f-896e-b6a0691f9340","resolution":{"observed_at":"2026-08-07T11:13:59.432692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:59.017714Z","title":"Phase-field model of cell motility: Traveling waves and sharp interface limit","venue":null,"work_id":"c9d4cd7b-eae2-4400-8e87-f726b8535490","year":2016},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.614074Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:ba82b45f35d0b0d8dad87120c4b34ccbd7e4cb944220f34d51b773852d70320d","observation_id":"ccb6bdfb-63de-4880-90e9-303ab84017fa","resolution":{"observed_at":"2026-08-07T11:13:59.142751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21196","last_updated":"2024-11-18T20:26:34Z","snapshot_observed_at":"2026-07-06T19:40:57.049203Z","submitted_at":"2024-10-28T16:39:15Z","title":"Nonlinear stability in a free boundary model of active locomotion","version":2},"cited_work":{"arxiv_id":"2410.21196","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.21196","snapshot_observed_at":"2026-08-07T11:13:52.297109Z","title":"Nonlinear stability in a free boundary model of active locomotion","venue":"math.AP","work_id":"40539c5d-a09d-4050-9440-8099fba37774","year":2024},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.696632Z"},"links":{"cited_paper":"/paper/2410.21196","citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:a320c5d84e8aeb5de3f25b1c4cb4cde99a51d4cd731f21e198f20b18ca48e067","observation_id":"7a9c4d15-4816-4103-9c53-f88162a368bd","resolution":{"observed_at":"2026-08-07T11:13:52.354977Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:58.615156Z","title":"Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading","venue":null,"work_id":"3ad67e87-373e-4aea-8698-d35ef7ce2aa0","year":2024},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.822266Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:65faa2f870fb4630664e362de5134146b77350a5700b0bf8b2de75650bd4a6d6","observation_id":"268fecc5-6da9-4491-b425-58006f7ef0d6","resolution":{"observed_at":"2026-08-07T11:13:58.806541Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:58.340781Z","title":"Spontaneous motility of actin lamellar fragments","venue":null,"work_id":"49c78c54-fc15-4c28-a674-b33884c16411","year":2013},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:48.938998Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:70f81fd4ead273752bf8677e481677147cf9dd2a8c7aa737dee94cf67a35ce9c","observation_id":"3ec3177c-e242-4f6f-95ad-6c8f823bb153","resolution":{"observed_at":"2026-08-07T11:13:58.455301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:58.130404Z","title":"Symmetry-breaking bifurcations for free boundary problems","venue":null,"work_id":"5a7e6917-b1a0-469e-973c-5e8afdadfd14","year":2005},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.065384Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:d7bbf744d09d03729d241dec13e5c1fd9e2a37eb4ca434578032fdac3d495b02","observation_id":"76de0dd5-701e-41c5-ad75-9799c45bb789","resolution":{"observed_at":"2026-08-07T11:13:58.242937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:57.950527Z","title":"Noise-driven bifurcations in a nonlinear Fokker–Planck system describing stochastic neural fields","venue":null,"work_id":"8ae7dc0a-2984-4c44-b52e-1e303a938b70","year":2023},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.228046Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:5c7d253113332e26e0a936fb9fe8a28fc38ac4ac6bddd194e2c6be4e8a65269e","observation_id":"51eea52e-a446-490d-9cfb-93abb29a9df9","resolution":{"observed_at":"2026-08-07T11:13:58.033618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:57.769060Z","title":"Well-posedness and sta- bility of a stochastic neural field in the form of a partial differential equation","venue":null,"work_id":"70256cc0-4799-497f-99e1-f3f51f008545","year":2025},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.332363Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:bbe94df32b9baf5d44ccc0567a7ef507965e234e06e27beb240b7e3617fd9a85","observation_id":"e8cd8617-87d9-4b1d-a0c9-c2e805777387","resolution":{"observed_at":"2026-08-07T11:13:57.859749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:57.559471Z","title":"Cell motility as an energy minimization process","venue":null,"work_id":"c62000ae-efde-44b5-90e5-aa8dcfcab11c","year":2022},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.423933Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:bb5a09d6696b403321841cf1233e2d8a9e82732bdaf086a29e934adddc1419b2","observation_id":"2509322f-43c3-49aa-901f-d6187b120df4","resolution":{"observed_at":"2026-08-07T11:13:57.658406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:57.342384Z","title":"A hybrid stochastic–deterministic mechanochem- ical model of cell polarization","venue":null,"work_id":"96a19622-502e-42a1-b886-726dbfcd7464","year":2020},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.540756Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:652faf97b062d319406f13aa520e75a8f9d3b21b317d640a2551c1b8e977737a","observation_id":"aec46195-2caa-4cda-83d6-46755b70126d","resolution":{"observed_at":"2026-08-07T11:13:57.441356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:57.142472Z","title":"Bifurcation from simple eigen- values","venue":null,"work_id":"800764b0-12ab-471b-8f3d-77aa10c28068","year":1971},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.610775Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:94d690e3862100a7e43a4b3a48894f2c2fb4e9179008c64ae20f877be476e4b0","observation_id":"f872e907-1acf-4539-b898-d028d8a5887f","resolution":{"observed_at":"2026-08-07T11:13:57.275592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:56.922452Z","title":"Free and Moving Boundary Problems","venue":null,"work_id":"1326ac7f-41d3-43ef-941f-2e8f00e62881","year":1984},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.716128Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:58da8f948be664b21161a6cefabd154cb265ec57948eb96729f90fb180a245f3","observation_id":"eda291eb-888c-4dbc-93e5-e92d75551df7","resolution":{"observed_at":"2026-08-07T11:13:57.036340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:56.712760Z","title":"A Cahn–Hilliard Model for Cell Motility","venue":null,"work_id":"b3eb5cd2-f139-4f20-9e8b-4b57d623399e","year":2020},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.821494Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:af0f3bf0f1a58f1c4f52e31eb1e07216aab1b13de5b6cbb58d8a61901b51d7f3","observation_id":"ef2c6078-d3a8-49a9-b927-018204005100","resolution":{"observed_at":"2026-08-07T11:13:56.812612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:56.527363Z","title":"Self polarization and traveling wave in a model for cell crawling migration","venue":null,"work_id":"e93d39cc-bc5f-4296-a99c-b45aee55794e","year":2022},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:49.909817Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:349528cc9d4efe23ff09682e025d02e9edb9913909f75404fa0508e1f2aa60d8","observation_id":"d65338ae-e00e-4947-b505-85f75dc6b78b","resolution":{"observed_at":"2026-08-07T11:13:56.607966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:56.375415Z","title":"Optogenetic control of migration of contractile cells predicted by an active gel model","venue":null,"work_id":"89268188-1066-43c8-9391-d0badf2786be","year":2023},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.040563Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:67809290439647e39ee13a4e716beaf914b21212e11486f59c17d3e25593dd35","observation_id":"568d6791-d478-44c5-885a-deec4c170282","resolution":{"observed_at":"2026-08-07T11:13:56.439168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:56.224415Z","title":"Asymptotic stability for a free boundary prob- lem arising in a tumor model","venue":null,"work_id":"4b018a16-b9ec-4830-a69c-992670922aff","year":2006},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.174859Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:5b0c5d8a1fee97ed241435f554b28e8c53fb3db47a65cc321c4e96bd2eed3f9a","observation_id":"584f97db-4205-4e0c-b27e-dc5b9d6734d1","resolution":{"observed_at":"2026-08-07T11:13:56.315448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.05762","last_updated":"2025-04-12T18:29:30Z","snapshot_observed_at":"2026-08-07T18:05:03.125784Z","submitted_at":"2024-09-09T16:24:15Z","title":"Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking","version":2},"cited_work":{"arxiv_id":"2409.05762","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.05762","snapshot_observed_at":"2026-08-07T11:13:52.097641Z","title":"Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking","venue":"math.AP","work_id":"0b87b35f-2f80-4f13-a80a-82fafc64c968","year":2024},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.276810Z"},"links":{"cited_paper":"/paper/2409.05762","citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:913cf4148f9d1a0a274d5b4aec1bf15bc094ab52995755af583715aa24686726","observation_id":"7fc5e1a5-a5ed-47cd-9531-a71c4b2c8360","resolution":{"observed_at":"2026-08-07T11:13:52.155423Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:55.964243Z","title":"The 2020 motile active matter roadmap","venue":null,"work_id":"98d4095c-2652-4acd-81c4-20b6cdda144d","year":2020},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.371231Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:1590067cb60d602a3bf6618e9bfd1ff9b47b3126efc940ba83ab5756dfd3fadb","observation_id":"2808184b-bafc-4fd5-bb2a-7b66f9b1bb29","resolution":{"observed_at":"2026-08-07T11:13:56.076737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:55.735432Z","title":"Conformal and Potential Anal- ysis in Hele-Shaw cells","venue":null,"work_id":"55f84a64-e41b-4222-8225-b8aee4a82d21","year":2004},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.471958Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:56e9ccfcdb7ff1397f5a87fbc9ca7eb8d3602fb70911ec3450db0fd7d3e6e3ef","observation_id":"ccc11891-e3fa-43cb-934c-a958920b42fa","resolution":{"observed_at":"2026-08-07T11:13:55.861675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:55.544512Z","title":"Mechanism of shape determination in motile cells","venue":null,"work_id":"68a0072a-680c-46ee-81d2-fb7f606f35b9","year":2008},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.562844Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:02e8e7b8175ca6856529e6468f558b4687040f1d6a17bf2a9a5e6cb7e0e832fc","observation_id":"400d6171-81b9-4277-be90-9676db3cd0a3","resolution":{"observed_at":"2026-08-07T11:13:55.615076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:55.367234Z","title":"Free boundary problems for Stokes flow, with applications to the growth of biological tissues","venue":null,"work_id":"45400838-ffe4-4c22-9424-f7455e48bafe","year":2021},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.661133Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:ec1b6304e313103c35598b977d85ed9825ebe6f1b9adbe76d6c65dcc3e8cdf09","observation_id":"1559a882-c3ea-4670-b824-507e25a8dc24","resolution":{"observed_at":"2026-08-07T11:13:55.458862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:55.159362Z","title":"Emergence of large-scale cell morphology and move- ment from local actin filament growth dynamics","venue":null,"work_id":"7286039d-6690-4717-bb1b-b856d4884df5","year":2007},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.779698Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:51a432167ad345fd745ef5b77da3577d67c7e531008a351a1e70b951623e39df","observation_id":"abc829c7-399a-4c37-9c6e-b178c615901a","resolution":{"observed_at":"2026-08-07T11:13:55.216216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:54.948782Z","title":"Hydrodynamics of soft active matter","venue":null,"work_id":"880eabca-b6d2-47ae-8908-69a1da4c6857","year":2013},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.911509Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:42bee8dced04588a712c10050a956d5e3c997096aa00c9fc2cd8250a5a46c194","observation_id":"bfe6591d-8b64-44aa-a3e9-a023f1864159","resolution":{"observed_at":"2026-08-07T11:13:55.069742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:54.788065Z","title":"Mechanical stress as a regulator of cell motility","venue":null,"work_id":"ded3be07-63cd-42c3-8784-d6e9019e4872","year":2018},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:50.988447Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:440774bb8514642e8a6256df17e155ffc42b18ae4e8d0f914598e5e3cfeb558f","observation_id":"ef19a48a-f1a8-44a0-bb66-44e7f8c22850","resolution":{"observed_at":"2026-08-07T11:13:54.864411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:54.605121Z","title":"Contraction-driven cell motility","venue":null,"work_id":"ab5885ef-fcbf-4cec-9319-05bf124c351f","year":2013},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.115972Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:88abc07c04cc8c1206ae43f57eebe63421bc07c4ba1c53d9e8387f0ab2f82efa","observation_id":"c16b539b-2af2-4580-911b-ec5f2c1f52b9","resolution":{"observed_at":"2026-08-07T11:13:54.696051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:54.426634Z","title":"Mechanics of motility initiation and motility arrest in crawling cells","venue":null,"work_id":"08094cf6-1c22-4752-8937-5405ceb18a91","year":2015},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.237113Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:ab27588d64eb4a3ed9aa7e0ed48150bc3fad05bccd673777d2f3cb4d74daa51f","observation_id":"4cd36f5f-e138-4e40-870b-40aba62d92a2","resolution":{"observed_at":"2026-08-07T11:13:54.498176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:54.182582Z","title":"Polarization and motility of one-dimensional multi- cellular trains","venue":null,"work_id":"f3b217cc-97fc-4016-bd6a-4da8362e3dd4","year":2023},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.357397Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:e53290d39e239084800bd79aaf3d1d2b4e6617f06504492fd87de4d82d23c24e","observation_id":"359d22b9-c561-4500-8a3c-079e98df0ac8","resolution":{"observed_at":"2026-08-07T11:13:54.294078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:53.973214Z","title":"Emergence of traveling waves and their stability in a free boundary model of cell motility","venue":null,"work_id":"e5b04b24-3c48-4eda-9aec-c68e7fdeceaf","year":2023},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.440212Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:2ad7c740a77c28c99c5c7d492e132340021b92f5b4deb8813fd7a910246710cb","observation_id":"ab72f0cf-92c7-48f9-b3af-0d9c25ea1122","resolution":{"observed_at":"2026-08-07T11:13:54.097255Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:53.760875Z","title":"Asymptotic sta- bility of contraction-driven cell motion","venue":null,"work_id":"88e3a862-dbbb-4eb3-89f9-ad0be2a028ac","year":2022},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.537617Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:bb495b01d2b3628dea5be9608f69872f42f7f54c58604daf82da95d05c0bd489","observation_id":"f57397dc-d187-439a-a0cf-1704f352ffce","resolution":{"observed_at":"2026-08-07T11:13:53.866218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:53.562360Z","title":"Cancer therapy with immune check- point inhibitor and CSF-1 blockade: A mathematical model","venue":null,"work_id":"66ce3f4a-8a02-48a0-9e53-d690bd57ec25","year":2023},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.633466Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:1930d99d840773ef0477c8d64bd7018a1b0beaee39da49590a20f7204625bf7e","observation_id":"6aa80878-9b85-4161-b637-680393912ecf","resolution":{"observed_at":"2026-08-07T11:13:53.660270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:53.375734Z","title":"Bifurcation for a free-boundary problem modeling small plaques with reverse cholesterol transport","venue":null,"work_id":"3b3d53bb-cb37-4faa-a576-f0f1af3e33fd","year":2023},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.731872Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:a5c0cd79f75201eb87c80d3ea096c34a9de72f1dbd957d3b510d1c57cb5522c6","observation_id":"de47f2a6-e036-430e-83c0-aa0ab800fa6b","resolution":{"observed_at":"2026-08-07T11:13:53.470518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:53.194923Z","title":"Computational approaches to substrate- based cell motility","venue":null,"work_id":"3732f3ea-8041-4eeb-af12-1025ca609c88","year":2016},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.821549Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:d360d4ab2bb9d2f959ad7e9c9eb53b877a9704c97f5972df6897835449cc9d0a","observation_id":"fc889773-1aa4-460b-b2e1-997096883337","resolution":{"observed_at":"2026-08-07T11:13:53.287011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:53.034304Z","title":"Expansion of (10) in V : First, we must expand the unit normal vector ν(θ)","venue":null,"work_id":"7b3b19a9-3c82-4c1a-9a41-197eaf466b9c","year":null},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.898231Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:2c1d9454db23972835bb1d8ce5ab19e19b501e11d2ae48aca2e24541b744d7f6","observation_id":"1bb07fee-8058-429d-bb25-77f2d7e6c4a4","resolution":{"observed_at":"2026-08-07T11:13:53.131728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:13:52.836512Z","title":null,"venue":null,"work_id":"c30a4fec-3035-4327-ae72-4d8d772bf4f6","year":null},"citing_paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T11:13:51.986670Z"},"links":{"citing_paper":"/paper/2506.03138"},"observation_digest":"sha256:f2c65a64070f3e2d7f64c717382d6814146cefd8d1f652928729ed2386f02b11","observation_id":"3381b86d-4012-4595-92a3-11f83e621fad","resolution":{"observed_at":"2026-08-07T11:13:52.928745Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.03138","last_updated":"2026-07-10T15:23:04Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T11:05:43.409114Z","submitted_at":"2025-06-03T17:58:53Z","title":"Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":4,"verified_fuzzy":33},"total_outbound_references":39},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2506.03138."}