{"as_of":"2026-08-11T12:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:baa0b1e3169a624856ce6af98eade9b0a38226d673c2e45b0f1045b59a5abae6","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T12:04:35.301454Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.19736/citation-record","integrity":"/paper/2607.19736/integrity","json":"/paper/2607.19736/citation-record.json","paper":"/paper/2607.19736"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:04:29.975862Z","title":"Acevedo, C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:29.975862Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:c551eb41936d915b74ff6190e68d961405b0a12c9b2db97ab63cf18e6a93340c","observation_id":"33050bc8-f5b7-4b63-80c6-6479f54f0c1e","resolution":{"observed_at":"2026-08-01T12:04:29.975862Z","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":"2026-08-01T12:04:30.166620Z","title":"Acevedo Tapia, C","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:30.166620Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f1189ffacddbb5344db08e7264b78437a2f7310bd6d0faf3dbf38c35c9b90fa7","observation_id":"a32dae7d-9284-4495-b14a-ce7edcef0ec2","resolution":{"observed_at":"2026-08-01T12:04:30.166620Z","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":"2026-08-01T12:04:30.402945Z","title":"Al Baba, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:30.402945Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:dd3c61afda67ab03fdc5997d7a7c3cfe105678f96c8d1ddbc54a82d023e7311e","observation_id":"8761b1a6-89a3-40f5-87a4-2b31b4a93a64","resolution":{"observed_at":"2026-08-01T12:04:30.402945Z","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":"2026-08-01T12:04:30.570699Z","title":"Amrouche and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:30.570699Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:0c5c6bdc0aeb686c4f9735b142ae1d33490d5b36e3ceb886f836f8aed9cd82cb","observation_id":"6eef28e3-8b65-4120-a008-7d86570c88c9","resolution":{"observed_at":"2026-08-01T12:04:30.570699Z","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":"2026-08-01T12:04:30.709034Z","title":"Amrouche, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:30.709034Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:041e850f4c9cce1f6e5fb50d255667a07f6002af6372e840021afdede338bccc","observation_id":"06817e6a-226a-4f6b-9d28-a2b23a96b518","resolution":{"observed_at":"2026-08-01T12:04:30.709034Z","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":"2026-08-01T12:04:30.824861Z","title":"Amrouche and K.R","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:30.824861Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:8ed68c4c363e557766ed128a623266869cbb58b123dbde2139338a32f4cd77ff","observation_id":"f371eca0-0199-4fd4-9027-d5c46deddb79","resolution":{"observed_at":"2026-08-01T12:04:30.824861Z","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":"2026-08-01T12:04:31.003660Z","title":"Bae and B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.003660Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:2e9fca4b752ba771dc1c085a0306500d9efd989aa97a20f6c6078d61aa0f3ae3","observation_id":"3b8aed23-2635-4355-b111-3067627cd736","resolution":{"observed_at":"2026-08-01T12:04:31.003660Z","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":"2026-08-01T12:04:31.065966Z","title":"Bensoussan, G","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.065966Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:23674ae522585f3a1c0d90390ab6161e5ce26871a2803f09b28765a4999a49cc","observation_id":"a2d9dc2e-36a2-4922-8889-1d077a5f30fc","resolution":{"observed_at":"2026-08-01T12:04:31.065966Z","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":"2026-08-01T12:04:31.183057Z","title":"Viscous Incompress- ible Fluid + Rigid Body","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.183057Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:45bf49cc8cafabeb865f4597532e7d7f8699f7911715276a0db702b1c52900fd","observation_id":"343ce8b0-2343-4d86-9a22-ca5deb2d8211","resolution":{"observed_at":"2026-08-01T12:04:31.183057Z","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":"2026-08-01T12:04:31.352034Z","title":"Bresch, B","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.352034Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:6f996cd8187072c5a1896d527cd68f349719016452a784d3353859efc03aaba1","observation_id":"1e39a412-3815-4369-8fa7-ac4f33ea09e6","resolution":{"observed_at":"2026-08-01T12:04:31.352034Z","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":"2026-08-01T12:04:31.463137Z","title":"Brezis and P","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.463137Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:07e9d33eb5edbbbd6c7ca29a25fa8f49841cb5de21a4839a5ed718f1b135f7cc","observation_id":"a7809f3b-10d8-42cc-b207-8900e45e2614","resolution":{"observed_at":"2026-08-01T12:04:31.463137Z","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":"2026-08-01T12:04:31.497449Z","title":"Crispo and P","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.497449Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:9fc59741e2b0cb4b95c35c49d7797595c567ed52fbea1e622fdf7150ef9b86a5","observation_id":"631caddf-eb56-4a2e-afdd-8b0463a45659","resolution":{"observed_at":"2026-08-01T12:04:31.497449Z","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":"2026-08-01T12:04:31.501328Z","title":"Dashti and J.C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.501328Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:1f95e14d6bda48763632565ee8c8c81b7b0d4abdef9150260c8ab827876fab92","observation_id":"0529196e-f124-4e82-8a18-805e18661a18","resolution":{"observed_at":"2026-08-01T12:04:31.501328Z","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":"2026-08-01T12:04:31.590581Z","title":"Dhifaoui-theory for the exterior Stokes problem with Navier’s type slip-without-friction boundary conditions,Math","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.590581Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:43feb3fb196597f5653b6f12f7405d0cc21116cc918308d4c41b753199390579","observation_id":"5b40293c-5086-4628-94f0-46c5c0cd0a6a","resolution":{"observed_at":"2026-08-01T12:04:31.590581Z","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":"2026-08-01T12:04:31.684264Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.684264Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:58098fc13fbcab985c9f13bb8feb7cfba8100bec4660b14c8b2104e5b383821f","observation_id":"2c03f9d0-88d2-4e69-b8eb-68bdf9b1d93c","resolution":{"observed_at":"2026-08-01T12:04:31.684264Z","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":"2026-08-01T12:04:31.828163Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.828163Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:afa2604bafdd6dab0acb5af7aee6777c7f883de1f34f9e271d521de310a0754d","observation_id":"5cc53db0-49a4-42d4-846d-00f62606978a","resolution":{"observed_at":"2026-08-01T12:04:31.828163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.00429","last_updated":"2022-12-01T10:59:49Z","snapshot_observed_at":"2026-07-06T14:25:36.764202Z","submitted_at":"2022-12-01T10:59:49Z","title":"On the regularity of weak solutions to time-periodic Navier--Stokes equations in exterior domains","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.00429","snapshot_observed_at":"2026-08-01T12:04:31.894126Z","title":"Eiter,On the regularity of weak solutions to time-periodic Navier–Stokes equations in exte- rior domains, arXiv preprint arXiv:2212.00429 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.894126Z"},"links":{"cited_paper":"/paper/2212.00429","citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:8099916d227a7e096b91f9cf94158d2dc2fdc9fd096e0680a2f191d484f671a2","observation_id":"4f010565-9b31-4bea-8f01-294136488096","resolution":{"observed_at":"2026-08-01T12:04:31.894126Z","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":"2026-08-01T12:04:31.949020Z","title":"Eiter and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:31.949020Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:9144d06a54c4a98bb5712d2feae8b9cb4f939f65a6f34a007e38b66d3434f676","observation_id":"abd7437c-cd02-4496-beda-ce8b7ae8a757","resolution":{"observed_at":"2026-08-01T12:04:31.949020Z","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":"2026-08-01T12:04:32.018293Z","title":"Ervedoza, D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.018293Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:7571b5562019892f09f74817f005860c1121949b159a59a166a2798a879d5c19","observation_id":"c89fabf8-297c-4651-9e6f-a0e79b325e19","resolution":{"observed_at":"2026-08-01T12:04:32.018293Z","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":"2026-08-01T12:04:32.097449Z","title":"Farwig and H","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.097449Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:bd63bb5bb80dd339697c36e8376c6d43b1d7fc67046b7d10ee09309d7f5645da","observation_id":"e88753a6-7525-482b-9677-fa49367857cf","resolution":{"observed_at":"2026-08-01T12:04:32.097449Z","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":"2026-08-01T12:04:32.184543Z","title":"Gagliardo,Proprieta di alcune classi di funzioni in pia varialili, Richerche Mat","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.184543Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f3d92ffa2d69f43a87c5862faaa8dfd49e5bb4e4b62237ae23ef7947f3d01b5b","observation_id":"d45ec894-4757-4109-85b9-bbce70554212","resolution":{"observed_at":"2026-08-01T12:04:32.184543Z","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":"2026-08-01T12:04:32.266004Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.266004Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f9ee482f0bb53d16bcae9be4dd3c4312fb61d7717f75be0c829ce75fed8faaa2","observation_id":"6001d52e-c942-4051-bd29-44c7420a4c18","resolution":{"observed_at":"2026-08-01T12:04:32.266004Z","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":"2026-08-01T12:04:32.408288Z","title":"Gerard-Varet and M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.408288Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f7660a71bf829c4374639408df96767bc929c09ea42bba838d421dba3746c39a","observation_id":"236b05bb-6c10-448b-9d68-b9d1689ae1ee","resolution":{"observed_at":"2026-08-01T12:04:32.408288Z","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":"2026-08-01T12:04:32.494016Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.494016Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:d3b957ba0ace2eeb3736db4d5d027e4b8865bd3dc4a0034140bc4c738da3a27b","observation_id":"4c41d9f9-6900-46d2-8d0d-b518c17c90f5","resolution":{"observed_at":"2026-08-01T12:04:32.494016Z","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":"2026-08-01T12:04:32.571035Z","title":"Giga,Domains of fractional powers of the Stokes operator inL r spaces,Arch","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.571035Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:c350458e9fcf6ef4872f5fbc4105cd847de0e8faf229683dfd4dc4d736762e01","observation_id":"e693b69a-6a62-4da9-942c-784f41f25ade","resolution":{"observed_at":"2026-08-01T12:04:32.571035Z","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":"2026-08-01T12:04:32.648100Z","title":"Giga and H","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.648100Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:5b9f22f089523927e68fbaabd96749aed20ac2410dca0fcef2a7b5b1d1585d59","observation_id":"254db562-e4c0-43e5-99f3-c418e6db414d","resolution":{"observed_at":"2026-08-01T12:04:32.648100Z","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":"2026-08-01T12:04:32.737622Z","title":"Grisvard, Elliptic Problems in a Nonsmooth Domains, Pitmsan Advanced Publishing Pro- gram(1985)","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.737622Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:ce61dbb1babeee52db0c4272042e523aad6e53b4796c787bdc4b6a023a835eba","observation_id":"4050eeac-da9a-4e94-ae78-9f273497b117","resolution":{"observed_at":"2026-08-01T12:04:32.737622Z","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":"2026-08-01T12:04:32.814787Z","title":"Hishida, Stability of time-dependent motions for fluid–rigid ball interaction,J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.814787Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:cbb207f0faadcf1e2addf71b7719b62d1ba123bcb2c2faded6737d0f985a0b36","observation_id":"18c7eaae-bf09-48d3-bcae-39a71ab15102","resolution":{"observed_at":"2026-08-01T12:04:32.814787Z","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":"2026-08-01T12:04:32.926410Z","title":"Iwashita,L q −L r estimates for solutions of the nonstationary stokes equations in an exterior domain and the Navier-Stokes initial value problems inLq spaces,Math","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:32.926410Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:91eddf97975671a0a8f431215cbbf545181f21ef4cf848afe36d16e92865e2f3","observation_id":"27c23944-04b8-4945-877d-6a8b7e6706cc","resolution":{"observed_at":"2026-08-01T12:04:32.926410Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.05306","last_updated":"2022-04-29T00:07:02Z","snapshot_observed_at":"2026-07-06T12:27:19.431793Z","submitted_at":"2022-01-14T05:15:07Z","title":"Maximal $L_p$-$L_q$ regularity for the Stokes equations with various boundary conditions in the half space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.05306","snapshot_observed_at":"2026-08-01T12:04:33.001673Z","title":"Kajiwara,MaximalL p-Lq regularity for the Stokes equations with various boundary condi- tions in the half space, arXiv preprint arXiv:2201.05306 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.001673Z"},"links":{"cited_paper":"/paper/2201.05306","citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:a8ba6a54d3805466716c3cc238dd180c96d4051004bc4c978b38cf0038e035c0","observation_id":"e74c5eb0-c22f-4928-b86e-1d850ba00893","resolution":{"observed_at":"2026-08-01T12:04:33.001673Z","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":"2026-08-01T12:04:33.092743Z","title":"Kozono and T","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.092743Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f8d5160475678f040a4ef3c84722756546f48e148bd8cec5ddbafdf719373ff6","observation_id":"bb989fc2-eb52-489b-a964-ce5ee9fbb2c8","resolution":{"observed_at":"2026-08-01T12:04:33.092743Z","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":"2026-08-01T12:04:33.162503Z","title":"Kozono and H","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.162503Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:937f9771d5371a30d165f7741de0b6905f3dd078c666aba56ccc16f3c8bda997","observation_id":"347c3e3b-7cc7-40e6-99c7-39d193ece44b","resolution":{"observed_at":"2026-08-01T12:04:33.162503Z","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":"2026-08-01T12:04:33.240228Z","title":"Ladyzhenskaya,The Mathematical Theory of Visous Incompressible Flow,Gordon and Beach 1963","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.240228Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f61c933b44c9f5108e990667b3976a443d857886df722b88bb799a7261f3bec1","observation_id":"0a679af4-db5d-4030-ae37-ec9e7636fb78","resolution":{"observed_at":"2026-08-01T12:04:33.240228Z","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":"2026-08-01T12:04:33.338457Z","title":"Lunardi, Analytic Semigroups and optimal Regularity in Parabolic Problems, Birkh¨ auser (1999)","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.338457Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:6ff9862facfaeafb1d2f0cc700dc5fe998f71802029679f2a2722c9a0259fb94","observation_id":"d827f83a-9031-4183-bc14-00bea0b50516","resolution":{"observed_at":"2026-08-01T12:04:33.338457Z","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":"2026-08-01T12:04:33.493765Z","title":"Maity and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.493765Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:baf57ff73987eb0d304f1bfa4d0fd2a57b103bf5573d0c620df01b63b36f4775","observation_id":"c401577f-f1a0-4844-b499-d97658bbb3a9","resolution":{"observed_at":"2026-08-01T12:04:33.493765Z","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":"2026-08-01T12:04:33.578547Z","title":"Maity and M","venue":null,"work_id":null,"year":1913},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.578547Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:3938c6be8607f4c26d1855fde5c76fa359fa896b7b8ebd341b416781e5ffeadd","observation_id":"6524b3d5-5c4f-4afd-ad01-b82accd4051a","resolution":{"observed_at":"2026-08-01T12:04:33.578547Z","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":"2026-08-01T12:04:33.694661Z","title":"Maremonti and V .A","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.694661Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:f78145440b98b0b69cda5e6e97d3681df0bb121d17b36cf5cb8aa0e39f201c6d","observation_id":"add90a39-1034-4071-9a01-2db5c7f0f4ac","resolution":{"observed_at":"2026-08-01T12:04:33.694661Z","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":"2026-08-01T12:04:33.805687Z","title":"Maremonti and V .A","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.805687Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:8404ddd35f11e6a63e13833b87f3c29111ffa4cb42df0136772fe5b3ce129341","observation_id":"1a852c6a-b539-4884-8103-f64b1e6d848e","resolution":{"observed_at":"2026-08-01T12:04:33.805687Z","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":"2026-08-01T12:04:33.922065Z","title":"Pr ¨uss,Evolutionary Integral Equations and Applications, Monographs in Mathematics, vol","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.922065Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:bcf61cd0ba242ce027b8f7a9f4be6b791192eb991a738924d6bfd0de3e369a98","observation_id":"ac044011-7c3c-4fd5-8a09-adef5ebe576f","resolution":{"observed_at":"2026-08-01T12:04:33.922065Z","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":"2026-08-01T12:04:34.032153Z","title":"Rudin, Functional Analysis, McGraw-Hill Science, 1991","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.032153Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:644ac1966116412d962aa92666376b78b3306d55c71bba4f622ccb491a066e9c","observation_id":"0818b6ee-2ee8-403d-8db1-96da68433ce1","resolution":{"observed_at":"2026-08-01T12:04:34.032153Z","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":"2026-08-01T12:04:34.188195Z","title":"Shibata, On the Stokes equations with slip boundary condition,Math","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.188195Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:fecbf2ea96770cb1a4b1487fa6cd9803121ecaed9898acbc8afb059289de4251","observation_id":"9b463e39-d336-4dc9-8b2e-20ab7146a091","resolution":{"observed_at":"2026-08-01T12:04:34.188195Z","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":"2026-08-01T12:04:34.302367Z","title":"Shibata and R","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.302367Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:c7905953c93cfd37f354dcac21ae4d31628717a52ad984d5caf494e664896b4d","observation_id":"1443e844-a1e2-4e02-9923-5f1ce100fd09","resolution":{"observed_at":"2026-08-01T12:04:34.302367Z","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":"2026-08-01T12:04:34.420320Z","title":"Shibata and H","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.420320Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:4c06147731d8477531430f2edba3325924a15ad685602618efad44236f3d5ef8","observation_id":"8c0c04fb-604e-4238-84df-4807dcf6fefe","resolution":{"observed_at":"2026-08-01T12:04:34.420320Z","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":"2026-08-01T12:04:34.570551Z","title":"Sohr,The Navier–Stokes Equations: An Elementary Functional Analytic Approach, Birkh¨auser, Basel, 2001","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.570551Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:96ffa9f79522d21b0a3096f80cc9603caa7e5f3a5c57ef36a528a15afba8a8c3","observation_id":"ba00a17e-ea68-4571-a831-cb65117f254c","resolution":{"observed_at":"2026-08-01T12:04:34.570551Z","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":"2026-08-01T12:04:34.688013Z","title":"Solonnikov,Estimates for solutions of nonstationary Navier-Stokes equations,J","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.688013Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:81530c12c77e12b4ce36646916ba28e9b2bfc5fa2665569d2d46ecd4d5bae2b4","observation_id":"76cfa76d-a13a-45bc-98e7-6511ec86f728","resolution":{"observed_at":"2026-08-01T12:04:34.688013Z","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":"2026-08-01T12:04:34.803758Z","title":"Takahashi and M","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.803758Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:3923e2b7496942fd5d0e340e01e06f0aee0a732bbc471ae1326b4e70afd6118e","observation_id":"1004dbb6-3362-429c-9ebb-a52a623bc3c4","resolution":{"observed_at":"2026-08-01T12:04:34.803758Z","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":"2026-08-01T12:04:34.888043Z","title":"Temam, Navier-Stokes Equations, Theory and Numerical Analysis, Studies in Mathematics and Its Applications, V ol 2, Elsevier Science Publications B.V","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.888043Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:66d700bdd246aab81627aedbd3a925bcfd7296396c8d9efa33c6d13a950e262a","observation_id":"1e83e19e-e0bb-48ee-a319-23654626b3dc","resolution":{"observed_at":"2026-08-01T12:04:34.888043Z","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":"2026-08-01T12:04:34.994044Z","title":"Temam,Probl `emes math´ematiques en plasticit´e","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:34.994044Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:fa8a0b5a8d74453388500f5fd51d3f6b85a812ea8fb8c9c854e34d9378a70cd8","observation_id":"f739c923-bfa4-48fc-ab58-68646b8681af","resolution":{"observed_at":"2026-08-01T12:04:34.994044Z","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":"2026-08-01T12:04:35.094230Z","title":"Wang,Strong solutions for the fluid-solid systems in a 2-D domain, Asymptot","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:35.094230Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:7fa6a4976ed1dd13166dace9f3ba341460e0c3087718aa5c0acabf3394dfc8fb","observation_id":"bca3f4de-8473-43a5-ad74-a7843ca64b61","resolution":{"observed_at":"2026-08-01T12:04:35.094230Z","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":"2026-08-01T12:04:35.197554Z","title":"Wang and Z","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:35.197554Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:e4aa58995a7111bae92a3dbbab25573f5361210c27bb5a7913b57cbcfd1efcf0","observation_id":"b51572aa-2bea-46ee-93bd-d8df4d24b8e3","resolution":{"observed_at":"2026-08-01T12:04:35.197554Z","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":"2026-08-01T12:04:35.301454Z","title":"Weidmann, Linear operators in Hilbert spaces, Springer-Verlag(1976)","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:35.301454Z"},"links":{"citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:e49cae3317af826bd70b62283f1a2a3ea04820f0dbc7037fd0f2923647980a3c","observation_id":"e9cd88f9-35c0-4b3f-9ec1-d4c296cfc8cd","resolution":{"observed_at":"2026-08-01T12:04:35.301454Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.19736","last_updated":"2026-07-28T03:56:36Z","latest_version":3,"primary_category":"math.AP","snapshot_observed_at":"2026-08-01T12:04:28.043999Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":51,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":51},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2607.19736."}