{"as_of":"2026-08-17T05:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:193db239b7fd80672312bf3be2729dca62033f05a911b016d9ff3b2cf72fe669","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:06:35.350990Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2504.16560/citation-record","integrity":"/paper/2504.16560/integrity","json":"/paper/2504.16560/citation-record.json","paper":"/paper/2504.16560"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:35.891955Z","title":null,"venue":null,"work_id":"9b93cd44-7da7-4c3e-9299-54c22ca53020","year":2003},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.195612Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:8ae8194765f3adc0a9ad3dfce7c9fc89c55abc4359a37e6155466bf0ea275a79","observation_id":"e9f5c7a9-29f3-4bae-80bb-887b346c8898","resolution":{"observed_at":"2026-08-16T11:06:35.895682Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.881151Z","title":"Boundary Value Problems for Transport Equations , Springer Science +Business Media, 1998","venue":null,"work_id":"451b6c54-7d17-4db7-a7cb-e8311b685aef","year":1998},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.199533Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:308f40d4e6fea65873652d12e130dc2a5f872acd15fb760233ae7503c817f1fd","observation_id":"3bd6dcc5-4563-4337-aaab-023e34c3b95b","resolution":{"observed_at":"2026-08-16T11:06:35.884868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.869819Z","title":"Morimoto, S","venue":null,"work_id":"21ffd5ae-ef73-42e2-92ce-a2c5d40caf60","year":2011},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.202934Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:f859386da0e9cc1b430d0fda1ea8c61d661d2c10e5cd3dc3262b4d8969bb6872","observation_id":"c05383b0-de30-4a41-b8cf-b72931019a6f","resolution":{"observed_at":"2026-08-16T11:06:35.873956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1411.0163","last_updated":"2014-11-01T19:53:07Z","snapshot_observed_at":"2026-08-14T23:13:19.317325Z","submitted_at":"2014-11-01T19:53:07Z","title":"The radiative transfer equation in the forward-peaked regime","version":1},"cited_work":{"arxiv_id":"1411.0163","doi":null,"metadata_source":"pith","pith_arxiv_id":"1411.0163","snapshot_observed_at":"2026-08-16T11:06:35.521398Z","title":"The radiative transfer equation in the forward-peaked regime","venue":"math.AP","work_id":"3f3c06e3-0443-435a-9fd0-43a1459696e7","year":2014},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.206483Z"},"links":{"cited_paper":"/paper/1411.0163","citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:80ec9845aef52dc5a7d75dbc4c780fa8dae098cb322f4f43fb11b3ba902b955e","observation_id":"bd28cfe4-9437-4140-8456-bd6061c94ae0","resolution":{"observed_at":"2026-08-16T11:06:35.525936Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.859296Z","title":"S., Kovtanyuk, A","venue":null,"work_id":"a87e14de-33ff-4206-aead-47521069cd68","year":2002},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.211698Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:4fe432de3ef2405b76e28e15b97c0a0f96e8def9d6a2ebc87acc60a8e74015fb","observation_id":"f291d7da-7a16-4852-8d66-8434d6ce7a78","resolution":{"observed_at":"2026-08-16T11:06:35.862671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.848132Z","title":"On the sharp regularity of solutions to hyperbolic boundary value problems","venue":null,"work_id":"0ef08b7b-90f9-4f9d-a2c6-4968fb37c0b5","year":2023},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.216131Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:6bc3cc9155fea1115b243cd6f8e1ef0884400096b4a6a6a4b9072be11dc4d8f9","observation_id":"8c911050-9368-4e9f-b8eb-968f2065b448","resolution":{"observed_at":"2026-08-16T11:06:35.851742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.00180","last_updated":"2020-10-31T03:50:32Z","snapshot_observed_at":"2026-08-16T19:09:08.718395Z","submitted_at":"2020-10-31T03:50:32Z","title":"A Revisit of the Velocity Averaging Lemma: on the Regularity of Stationary Boltzmann Equation in a Bounded Convex Domain","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.00180","snapshot_observed_at":"2026-08-16T11:06:35.220265Z","title":"A revisit of the velocity averaging lemma: On the regularity of stationary Boltzmann equation i n a bounded convex domain","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.220265Z"},"links":{"cited_paper":"/paper/2011.00180","citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:4bc5e20dce789a48d662e5578493d166f1e2c2e39c1066a359c11e84cd3dba77","observation_id":"c4226be7-8757-4252-a146-37f265e57ffc","resolution":{"observed_at":"2026-08-16T11:06:35.220265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.08800","last_updated":"2023-04-18T08:04:01Z","snapshot_observed_at":"2026-08-16T15:39:40.140285Z","submitted_at":"2023-04-18T08:04:01Z","title":"On the Existence of $H^1$ solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain","version":1},"cited_work":{"arxiv_id":"2304.08800","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.08800","snapshot_observed_at":"2026-08-16T11:06:35.490645Z","title":"On the Existence of $H^1$ solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain","venue":"math.AP","work_id":"823b5f84-c603-4726-9baf-2b2c7d100e5b","year":2023},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.224127Z"},"links":{"cited_paper":"/paper/2304.08800","citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:c05a63813e44877bb8a3ee8e4f291fd76be19e07bff0ef6406a0b3d53a89a116","observation_id":"a37d5adf-c725-4954-86cc-cb51f14ca8ba","resolution":{"observed_at":"2026-08-16T11:06:35.495759Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.838528Z","title":null,"venue":null,"work_id":"5050ab38-8112-44c9-baff-72401f8d6726","year":1998},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.228326Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:9e7875466e3d6722b11eb562ddd8333bfc1295e2543c7bfb7ba631e366e79c84","observation_id":"0a5bf6d4-cb36-4792-ab91-280bec88eeee","resolution":{"observed_at":"2026-08-16T11:06:35.841436Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.828425Z","title":"Mathematical Analysis and Numerical Methods for Science an d Technology, Vol","venue":null,"work_id":"5194c136-0439-4dee-b2bf-247c4fd0aaf3","year":1999},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.232510Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:ebb387f7734be8b30ced0c3dde6263ec07e03a3ec063cbf4c208517400c1fded","observation_id":"574fcdee-b82a-4550-aeb9-cfcad1073df9","resolution":{"observed_at":"2026-08-16T11:06:35.832049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.817788Z","title":null,"venue":null,"work_id":"9755544e-da59-43e7-9e39-dc4dc55a3cb8","year":2000},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.237263Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:31ed1153e327d5e840756f8b1f1508df58013ede68235772937dc2f899aaf545","observation_id":"ef01ff9b-1717-4ed6-baf6-60867394d67d","resolution":{"observed_at":"2026-08-16T11:06:35.821774Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.804988Z","title":null,"venue":null,"work_id":"7bbc172d-772a-4ede-b41d-8695cbb9eaff","year":1999},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.241279Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:3543be13910464456c596260493367b439337f6839d896a906698ac9bcf87372","observation_id":"641b37dc-5232-4d81-a497-c429c9959a2e","resolution":{"observed_at":"2026-08-16T11:06:35.809074Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.792650Z","title":"Herty, M","venue":null,"work_id":"808996d4-bd3f-4ce0-873a-0d20fd980426","year":2008},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.245627Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:3a106eae5a528f33392f03f49271ccec5d909ba74dca552e1408084a5ea52a8c","observation_id":"cef4148c-e384-4a70-94ca-57d7a394d9d4","resolution":{"observed_at":"2026-08-16T11:06:35.796470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.781179Z","title":"Herty and A.N","venue":null,"work_id":"f85852eb-0b17-428e-9a5c-7c6130796d7e","year":2010},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.249546Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:8cb088d243d7878745e92b8489ad74b8f029850ed66405003869bfe6059a9abb","observation_id":"dd2558ac-0b21-46fb-bfaf-e5bc2efeae70","resolution":{"observed_at":"2026-08-16T11:06:35.784944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.771181Z","title":"Golse, P.-L","venue":null,"work_id":"8fc7fe34-b275-4e2e-9cd6-abb9c7354ebd","year":1988},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.253900Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:0491af4d0361913244b1cbeb89374a7ff2ffcd430bd93ead6139434bf979a85c","observation_id":"af55817a-ed42-4cde-b80f-8d388381e2a5","resolution":{"observed_at":"2026-08-16T11:06:35.774321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.760787Z","title":"Elliptic problems in nonsmooth domains , vol","venue":null,"work_id":"1598fed2-7a44-400a-b792-49fb9c0ce698","year":1985},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.258128Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:e4790f8fac93f3237b4724c1b398efc59a224302736abd3e79e81850f8659cd7","observation_id":"be845fe9-3b13-45fa-ba69-b9b7caf327ab","resolution":{"observed_at":"2026-08-16T11:06:35.764364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.750044Z","title":null,"venue":null,"work_id":"b2279021-d261-4120-80b8-6b7e4a5afa0f","year":2016},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.261938Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:24a969f523fc086a442d96390cad39554e7b1315653799c7e9ad1353703b9cc8","observation_id":"333bbae5-32c7-4b40-92c9-9cfedfe7ba7b","resolution":{"observed_at":"2026-08-16T11:06:35.753892Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.738321Z","title":null,"venue":null,"work_id":"9fdd376e-4147-46e2-b044-5b0f3e7d1d3f","year":2017},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.266148Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:2dc63df5d865affee35abd2b4705ef19c90855e188f4b4627ab8943dfeb14bf1","observation_id":"f66234b4-d2d8-49ac-b511-0c5b2ccb3778","resolution":{"observed_at":"2026-08-16T11:06:35.742814Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.725736Z","title":"Huang and J.A","venue":null,"work_id":"5fef7ff6-4b46-49c8-a40c-e0238d9ecf69","year":2010},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.270103Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:3c36b7366e3c9063b4a0feeddc6871b6b506e8391c65d9b422ad494cb9baab51","observation_id":"ff936e57-8906-494a-9acb-c0e7d3b1f8ec","resolution":{"observed_at":"2026-08-16T11:06:35.730371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.714791Z","title":"Iza-Teran and N","venue":null,"work_id":"460f50a7-02c4-4e19-a3a8-d6744f0af970","year":2006},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.273922Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:0bd16f7fd599fb7c9d00cba68fdada1194be5784e84ce55c670d0c5dd222e314","observation_id":"ad5d4426-680e-4060-8497-5374440af6a1","resolution":{"observed_at":"2026-08-16T11:06:35.718436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.703380Z","title":null,"venue":null,"work_id":"331025e6-5251-419d-b2f2-ebf4ba618ca5","year":1986},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.277446Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:5e3861a05853a6dbb3a5b76ecd271d59a0db16f8af81f5e92c3aa742e0e89488","observation_id":"94308615-45f6-4e5b-afaf-65f2bdf47fe5","resolution":{"observed_at":"2026-08-16T11:06:35.706738Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.693830Z","title":"Regularity of solutions to the stationary transport equati on with the incoming boundary data","venue":null,"work_id":"60931363-d60e-489f-bf33-eb1664572e5b","year":2018},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.280554Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:96f6b1f207fa5ebdcdbc978a57a2a4184c8f626e7c0e459b9a6646eddddbf926","observation_id":"28a6d1b8-759a-438d-9658-0fddda917b67","resolution":{"observed_at":"2026-08-16T11:06:35.696935Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.684409Z","title":null,"venue":null,"work_id":"e5da81f1-2ada-4545-94b9-4d4eafcc78e9","year":2013},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.283883Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:71604b27a930dcdce522a91cb87c657259d8dd259ed2b1ee4b4a2a0033196cdf","observation_id":"7ed85e25-cf17-427c-b6e3-530a467ce4b6","resolution":{"observed_at":"2026-08-16T11:06:35.687583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.673581Z","title":"W p,1 regularity in transport theory , Math","venue":null,"work_id":"f42dd81f-7b0e-44be-8bf1-c43d8808181e","year":1991},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.286954Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:034ff3568302a9b26713cea5141e101a44d1a20c401b1cd1d8766a5e854168b7","observation_id":"16aaa96e-c233-46fa-b4bd-d7c21b5cf1ef","resolution":{"observed_at":"2026-08-16T11:06:35.677562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.663024Z","title":"Secchi and P","venue":null,"work_id":"ffb5e9d8-85a0-4d01-825f-231d2881c1f3","year":2009},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.290677Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:a742655a6dd26b6be1b4fa287da7241dadd4ca8d4574693564fe5aff6611ccdc","observation_id":"3ea8ab13-196a-4bc9-8756-ba3529ffc8b3","resolution":{"observed_at":"2026-08-16T11:06:35.666510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.651776Z","title":null,"venue":null,"work_id":"5fdb86a0-e165-475d-9c48-f5c499c6472e","year":1996},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.294078Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:39924cdccb11f9cdf7007a4c710685b13ed01e99d52282c32ec102b4936f74aa","observation_id":"c369a301-8e7f-4b5d-942b-a01bf1c149de","resolution":{"observed_at":"2026-08-16T11:06:35.655574Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.637634Z","title":null,"venue":null,"work_id":"2c8c5bdc-d320-4aa7-8c66-e6e294f46c24","year":1998},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.297736Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:fdadfce8f4657e246f8a017da0d5daf9ca8c4b1ec3c1a35736afd1c4154d40b1","observation_id":"943f5465-ceca-4ef4-a9d4-3c91c408cc39","resolution":{"observed_at":"2026-08-16T11:06:35.641737Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.624845Z","title":"Semigroups of Linear Operators and Applications to Partial Diﬀerential Equations , Springer, 1983","venue":null,"work_id":"ad798c64-0c0a-4cef-997f-de58f45cb4a7","year":1983},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.301473Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:1ea10ad29952a280e8be02ba7950f5f2feb51433b867670a4ff8c1bdc1551b45","observation_id":"5be92a1b-6457-4110-b56e-036b910a36a5","resolution":{"observed_at":"2026-08-16T11:06:35.629149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.613350Z","title":"Symmetric positive systems with boundary characteristic o f constant multiplicity","venue":null,"work_id":"d4f5c7f1-c43c-4dc1-8d89-5f39bd7899c9","year":1985},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.304957Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:600389c6de1b03e9b02a9bfe3f200b53bdb9e30898fbed7e9e0512ff7d90153d","observation_id":"ffa6e1ff-6dce-408e-af9b-20b1a276dc03","resolution":{"observed_at":"2026-08-16T11:06:35.616721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.602490Z","title":null,"venue":null,"work_id":"7bd0b44a-1283-4997-b90e-81bab39427f7","year":1974},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.309892Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:9c05ec74fc4e910891e3b020310c58a833382d6b232dd20bdb0ec40b1ac5f39c","observation_id":"4b87749d-8168-4876-affa-5ce1cf65077b","resolution":{"observed_at":"2026-08-16T11:06:35.606287Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.592056Z","title":"On the order of convergence of the discontinuous Galerkin me thod for hyperbolic equations","venue":null,"work_id":"c3df77da-5885-4f7d-99d0-1dfdc84f8e77","year":2008},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.314362Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:9909fb0367cc39c335ac67bd56c32d1056d895ff41eac7ec5d22e540d2c774d5","observation_id":"a1fba33d-fd55-42cc-877a-3ec52e007999","resolution":{"observed_at":"2026-08-16T11:06:35.595518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.579395Z","title":"Regularity of solutions to non-uniformly characteristic b oundary value problems for symmetric systems","venue":null,"work_id":"468acb60-961f-4962-8aca-30d8a6a786f8","year":2002},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.318645Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:d88cd2e2b003d0e45c0457b88df690476b46fc11f81b791b72d92caefbdf50b1","observation_id":"292d42de-7646-4d7f-9fef-28d6d9cf1fa1","resolution":{"observed_at":"2026-08-16T11:06:35.584033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.568490Z","title":"Equations of Evolution , Pitman, 1979","venue":null,"work_id":"a2bc6f8e-f046-4d66-8869-355395242fcf","year":1979},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.322850Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:1f6e8ce9c3fdcd84c9a1ae6ce8243e1cde29855d7afbe40c0e9a76729678e464","observation_id":"d3f220c0-21aa-4019-974a-1812eb50f61a","resolution":{"observed_at":"2026-08-16T11:06:35.572245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1406.3228","last_updated":"2017-02-01T15:31:12Z","snapshot_observed_at":"2026-08-14T23:30:36.784852Z","submitted_at":"2014-06-12T13:08:11Z","title":"On Existence of $L^1$-solutions for Coupled Boltzmann Transport Equation and Radiation Therapy Treatment Optimization","version":2},"cited_work":{"arxiv_id":"1406.3228","doi":null,"metadata_source":"pith","pith_arxiv_id":"1406.3228","snapshot_observed_at":"2026-08-16T11:06:35.474341Z","title":"On Existence of $L^1$-solutions for Coupled Boltzmann Transport Equation and Radiation Therapy Treatment Optimization","venue":"math.OC","work_id":"b1a2dd07-2456-49f3-8a37-0e73cc232b6e","year":2014},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.326494Z"},"links":{"cited_paper":"/paper/1406.3228","citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:282bd15240c045c4749516e96b79d73b71c7d35f5e000800183c9df453e8d47d","observation_id":"a7800fc0-681d-4846-8f6d-28ac25189464","resolution":{"observed_at":"2026-08-16T11:06:35.478775Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.05534","last_updated":"2018-04-05T15:07:57Z","snapshot_observed_at":"2026-08-14T22:05:35.246053Z","submitted_at":"2016-03-17T15:16:14Z","title":"On Existence of $L^2$-solutions of Coupled Boltzmann Continuous Slowing Down Transport Equation System","version":3},"cited_work":{"arxiv_id":"1603.05534","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.05534","snapshot_observed_at":"2026-08-16T11:06:35.457755Z","title":"On Existence of $L^2$-solutions of Coupled Boltzmann Continuous Slowing Down Transport Equation System","venue":"math.OC","work_id":"3b0c3b11-00d8-42d8-a3a7-0a1ee0426fd4","year":2016},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.331614Z"},"links":{"cited_paper":"/paper/1603.05534","citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:dd0571f71c44c6153baaf992025a6cdbef9c7c131f821cf036375b8832f15468","observation_id":"ae4ba6b4-493a-418b-9916-da2db09d6d18","resolution":{"observed_at":"2026-08-16T11:06:35.461853Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.557348Z","title":", Frank, M","venue":null,"work_id":"e26e1019-a482-44bc-a051-3badb2398e23","year":2018},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.336068Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:a7f46be1b8e907054251e2b0a2e9d302a3abfb3e0cb87f1075b07dcbd053148c","observation_id":"f3de7b61-e2dc-406f-81fc-56147d855cfe","resolution":{"observed_at":"2026-08-16T11:06:35.561185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.545685Z","title":", Frank, M","venue":null,"work_id":"eebe2c03-f061-436f-9f15-500e35fcc8b4","year":2018},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.339739Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:8bb9ed6603cd052455d5cd0fa5bed31815bcc295aa9a28540b385f6b7e94898e","observation_id":"89cff8e8-cda6-42bb-aee5-fd30646945f2","resolution":{"observed_at":"2026-08-16T11:06:35.549578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T11:06:35.534204Z","title":"and Herty, M., On approximation of a hyper-singular transport operator an d existence of solutions","venue":null,"work_id":"7f10779c-6d6d-4f8f-8db7-4f943ead391c","year":2020},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.343597Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:d85cdd677961748944761936a06f281a3db90952559ec2f84297a1fc61e7ee0a","observation_id":"fd2c7e87-8fa9-4f85-ab73-572d27b28bfa","resolution":{"observed_at":"2026-08-16T11:06:35.537989Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1080/233","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:35.438215Z","title":"On global existence and regularity of solutions for a transp ort problem related to charged particles","venue":null,"work_id":"e4d07420-28f2-4a8a-9ed5-77d214d8c3e1","year":2020},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.347189Z"},"links":{"citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:9f94e09650d3af98d5e1c1b1767ce55f083cdbfc706b63d5ad1231105e1414c4","observation_id":"b9ee9bb2-1467-4ee0-aecb-e27c6ea8445c","resolution":{"observed_at":"2026-08-16T11:06:35.444178Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.08008","last_updated":"2024-09-03T16:20:41Z","snapshot_observed_at":"2026-08-16T18:45:18.234759Z","submitted_at":"2021-02-16T08:13:46Z","title":"On regularity of solutions for certain linear Boltzmann transport equations","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.08008","snapshot_observed_at":"2026-08-16T11:06:35.350990Z","title":"On regularity of solutions for certain linear Boltzmann tra nsport equations","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:35.350990Z"},"links":{"cited_paper":"/paper/2102.08008","citing_paper":"/paper/2504.16560"},"observation_digest":"sha256:3fa94cb3d7faf61216579fa7b4e0bcbc78f9b229715b07c8638006e55b2a15ba","observation_id":"8d997959-b732-4ee9-9080-ac4bc79c7502","resolution":{"observed_at":"2026-08-16T11:06:35.350990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2504.16560","last_updated":"2025-04-23T09:39:32Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T10:58:25.188392Z","submitted_at":"2025-04-23T09:39:32Z","title":"On existence of spatially regular strong solutions for a class of transport equations"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":4,"verified_fuzzy":22},"total_outbound_references":40},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2504.16560."}