{"as_of":"2026-08-22T07:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:592572cc3f66427f4f59b1ea91523374001077b928382a3c9f4e1ae502a7fd01","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T23:42:39.377961Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T12:04:30.497708Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.04351","snapshot_observed_at":"2026-08-01T12:04:30.497708Z","title":"Wu and X","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.19710","last_updated":"2026-07-22T03:26:22Z","snapshot_observed_at":"2026-08-21T21:46:43.792608Z","submitted_at":"2026-07-22T03:26:22Z","title":"Global uniform regularity and large time behavior of solutions to three dimensional compressible MHD equations with vanishing vertical magnetic resistivity in half space","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:30.497708Z"},"links":{"cited_paper":"/paper/2505.04351","citing_paper":"/paper/2607.19710"},"observation_digest":"sha256:10b464a78e1b6e502accbd7497bc029523d857b07f67e42ac5ef7bcddceef0b6","observation_id":"eff0cf57-ec79-47c7-af8c-53f41b2ead9a","resolution":{"observed_at":"2026-08-01T12:04:30.497708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.04351/citation-record","integrity":"/paper/2505.04351/integrity","json":"/paper/2505.04351/citation-record.json","paper":"/paper/2505.04351"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.982251Z","title":"Abidi, P","venue":null,"work_id":"baa49e2b-fd33-48ba-89c0-6d36fddd8d2d","year":2017},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.173061Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:6f374fbcf0876c69c7362b717af90b6569ec8deb12a9464e8ba8c7f6a8912869","observation_id":"fbb2a360-47e3-410c-a08b-b43274e2c445","resolution":{"observed_at":"2026-08-15T23:42:39.986244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.177689Z","title":"Biskamp, Nonlinear Magnetohydrodynamics, Cambridge University Press, Cambridge, 1993","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.177689Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:eb7b049573d905702c5fa50638e89e45a8685fd54cf6aead97c30b5b9d51b668","observation_id":"028c4fc3-7f78-4a6c-9d1f-7c7c84d757cc","resolution":{"observed_at":"2026-08-15T23:42:39.177689Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.965079Z","title":"Buckmaster, S","venue":null,"work_id":"1faffaae-dc16-4354-bd2b-d06598571b3b","year":2022},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.181442Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:b23c44e5db599145fca47153ced54263b41f3aa3b5706b7195c3b46d3089825b","observation_id":"4cedbb43-cdf6-45ce-bab0-226232017ebf","resolution":{"observed_at":"2026-08-15T23:42:39.968534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cpa.22067","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:08:47.750906Z","title":"Buckmaster, S","venue":"Communications on Pure and Applied Mathematics","work_id":"cf0f3a68-11bc-4ab0-94a7-46a84f03ebdb","year":2022},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.185310Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:1171848cdfc04c105653de740f75635477d932a45a30a39c5c6d1a69e61f1ca6","observation_id":"1b33b461-a182-45b6-a6c4-f0313ec8adc3","resolution":{"observed_at":"2026-08-15T23:42:39.417890Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.189869Z","title":"Buckmaster, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.189869Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:7a2a8ba565a8ca9bcafbe757cf1443723791e12cff2bf27c71229036d79867c9","observation_id":"c9ec350a-2910-4a4a-80aa-7921272710d3","resolution":{"observed_at":"2026-08-15T23:42:39.189869Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.954011Z","title":"Chemin, D.S","venue":null,"work_id":"4970cd6a-b9de-4e5c-ac18-93a5a8b65a44","year":2016},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.194664Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:2bfd5e581e07d66da4eef5b5625abda2a8d3665f408523116a9585d5faa0c3e6","observation_id":"d1b259a3-2c1c-4da8-ad0a-4ae8208476b3","resolution":{"observed_at":"2026-08-15T23:42:39.957582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.942959Z","title":null,"venue":null,"work_id":"4f8ca335-53e4-429b-9b05-652996513e6d","year":2003},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.198338Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:7ffe960ae8d10b4dad9b1c6543d0c469331bab60e2577bc7d9b4acf3c8178b59","observation_id":"868b3724-0061-419e-94a4-c50a3d3a3b5a","resolution":{"observed_at":"2026-08-15T23:42:39.946742Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.932812Z","title":null,"venue":null,"work_id":"b78a541d-7110-4d47-8c97-2252cda29730","year":2022},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.202174Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:1fea227fc549617b0cf11797f72eb11fbadec25e2adb8edffef212c8678995a2","observation_id":"0967171f-5294-4f70-a84f-a986959f0070","resolution":{"observed_at":"2026-08-15T23:42:39.936141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.922333Z","title":"Christodoulou, The formation of shocks in 3-dimensio nal ﬂuids, EMS Monographs in Mathematics, European Mathematical Society (EMS), Zurich, 2007","venue":null,"work_id":"c371baea-35c6-49c5-bac7-527345dcc229","year":2007},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.205834Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:e0a968cc24082c94bf71b220d3c82584f92fb3966fa1ce0c8a8aa7f3ba38f5e8","observation_id":"2e21bbe4-3744-4e9d-9183-b91d4dde77c4","resolution":{"observed_at":"2026-08-15T23:42:39.925905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.912236Z","title":"Christodoulou, The shock development problem, EMS M onographs in Mathematics, European Mathematical Society (EMS), Zurich, 2019","venue":null,"work_id":"ecceddea-a96c-440b-9c9b-ebf5258ec06f","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.209351Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:b9461d4a207f37e43ea9a1c91912340c8b52401b1092ab0b76c3312e25c4a4fa","observation_id":"297a9175-494a-4c1e-bc9e-0b1ad9c22af2","resolution":{"observed_at":"2026-08-15T23:42:39.915768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.901017Z","title":"Davidson, An Introduction to Magnetohydrodynamics , Cambridge University Press, Cambridge, England, 2001","venue":null,"work_id":"856bb86f-03da-45be-a392-3661c88ca545","year":2001},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.213067Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:14c2b4e2287697aaa45ff36c1da9c176223d0fb550d4457c4029bdadfaba1e51","observation_id":"e3358d03-fcb4-4d7c-a1fc-2d7b6c01ccdd","resolution":{"observed_at":"2026-08-15T23:42:39.905103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.890355Z","title":"Desvillettes, C","venue":null,"work_id":"d19ee2b1-79e4-4d66-95b7-43c3355d114f","year":2005},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.216885Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:e8e7400ace2d8b15832b74fefd169b583c266953253ecdb8d6d4d7ddcf56f2a7","observation_id":"45a6fd54-5d53-4e9f-92e4-b495f636bdd6","resolution":{"observed_at":"2026-08-15T23:42:39.893702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.880885Z","title":null,"venue":null,"work_id":"bfa2b1f9-9024-4cf3-affa-6293d73f4d00","year":2023},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.220539Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:70f48064dfb5110df59e08a486fb7f5b2c1bc96cd21bcd343bfe45d0a96e80e5","observation_id":"ae624b43-dfb4-45c2-82a2-05eee8f3feec","resolution":{"observed_at":"2026-08-15T23:42:39.884018Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.870802Z","title":null,"venue":null,"work_id":"0a8f1734-078a-4249-b65c-e9723a869dbe","year":2023},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.224119Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:000424cb3fcfc53a95a66343a91ddd9b82c6b0e206aaf1a2930763034e906a6e","observation_id":"bc616fcc-90a2-483f-8928-7680171182b6","resolution":{"observed_at":"2026-08-15T23:42:39.874162Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.860827Z","title":"Fefferman, D.S","venue":null,"work_id":"9f75c1f8-3151-4263-9e10-fbfb959f06a4","year":2014},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.227646Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:d2a32f4a35e55ad682c834b4c9c10405caaca308fbfc1ef8a203ee2dc403a22c","observation_id":"a7bb7db9-814f-4793-8b22-34f3449e9634","resolution":{"observed_at":"2026-08-15T23:42:39.864113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.850923Z","title":"Fefferman, D.S","venue":null,"work_id":"aa133a69-9579-4ddd-a6c4-58fb06fe3041","year":2017},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.231200Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:ad7c1bb7c89ab49e8975c173812c5fe7f9693a417d1e58ff93bf0d27077f9012","observation_id":"69d0a60f-0ff3-4c94-bdf1-dfee129884fd","resolution":{"observed_at":"2026-08-15T23:42:39.854347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.234692Z","title":"Feireisl, Dynamics of Viscous Compressible Fluids, Oxford University Press, Oxford, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.234692Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:535e005dd98da1c921c3ddb8da2304beb7ef9d2827d8de7a47136b41235433eb","observation_id":"bdcc02be-574a-489d-bc01-276f33ac1eab","resolution":{"observed_at":"2026-08-15T23:42:39.234692Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.834627Z","title":"Grafakos, , Oh, S., The Kato-Ponce inequality, Comm","venue":null,"work_id":"717c8396-1ecb-4562-a28e-7f2b80f49e46","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.238038Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:f214687612b9d9eceddb6650a00b3203f913ebf4ea236e31fa1ab94637ca7ec4","observation_id":"032ed59a-1ef4-435a-b2d8-76f77a69e3b9","resolution":{"observed_at":"2026-08-15T23:42:39.838063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.824782Z","title":"Hoff, Global solutions of the Navier-Stokes equatio ns for multidimensional compressible ﬂow with discon- tinuous initial data, J","venue":null,"work_id":"408ed944-9041-4265-8642-a149020818f1","year":1995},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.241592Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:f54b2561f58ecff6236e65f08ec0e87e0af9c1ba15ef3155716e6452349ea762","observation_id":"7591af38-d624-4796-bd62-83041f953ad0","resolution":{"observed_at":"2026-08-15T23:42:39.828486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.815162Z","title":null,"venue":null,"work_id":"84b766d6-ea3d-4cd6-a53b-1c3a0c52c95f","year":2017},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.245039Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:44f120a726aa376fcf05d2068e18c58b7c26e94d8144fad6a1fd4d1c4b4f1e06","observation_id":"383266e6-8b22-4a18-9f1d-0061a8b3ceb9","resolution":{"observed_at":"2026-08-15T23:42:39.818355Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.805887Z","title":null,"venue":null,"work_id":"51353053-62f0-4bdc-a137-4ec423787fc0","year":2010},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.248302Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:b98f878a2c55abeb391a45763982270f242366ce59c9aa1022344e90fca19d75","observation_id":"6470fc5b-11cf-4f79-94df-641672f7e021","resolution":{"observed_at":"2026-08-15T23:42:39.808938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.795930Z","title":"Jiang, S","venue":null,"work_id":"f9640b44-d2f1-4e0b-bd6f-8fb27fb088fa","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.251641Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:c494315329a6eee0a16aaaf1b5dab5dddb6d901b73598fa740bce002c50cdf5e","observation_id":"11f675e6-cb02-4758-a313-8a1fc1215524","resolution":{"observed_at":"2026-08-15T23:42:39.799344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.786251Z","title":"Jiang, J","venue":null,"work_id":"e244315b-ca02-4892-8861-c17808ee713a","year":2017},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.255227Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:41ba7e0d6ad122dde76707300fcbdbc219c1a8ace59fa13d91d33f5396695750","observation_id":"984579d5-3f90-4efd-b24e-618fae7c7d69","resolution":{"observed_at":"2026-08-15T23:42:39.789547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.776637Z","title":null,"venue":null,"work_id":"9f97a231-510a-4505-a73f-79e0b922bbd9","year":1988},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.258540Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:67e995f2a6b146e86b76c6df3939b59885988e6f51ffa0bed2c0eb168fc80748","observation_id":"4e60e60a-aded-4dbb-9ad4-7d6366f3131e","resolution":{"observed_at":"2026-08-15T23:42:39.779994Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.766394Z","title":"Kawashima, System of a Hyperbolic-Parabolic Compos ite Type, with Applications to the Equations of Mag- netohydrodynamics, Ph.D","venue":null,"work_id":"eb02b4db-690a-4717-ba8c-6e29cc60584b","year":1984},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.262107Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:56d99acfc12095666b8603a4316fc00b70b023c0e584f790641375ebb22e8ba0","observation_id":"1251488c-46c2-4e21-97cb-5b0fe08b251e","resolution":{"observed_at":"2026-08-15T23:42:39.770028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.756514Z","title":"Landau, E","venue":null,"work_id":"873d30c3-f829-42a8-a02c-6a173fd8d428","year":1987},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.265663Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:5f44abe97a4d1f37f90d7562b71e8a1cc2905df8695b57f10dbc92033148a634","observation_id":"696c71df-4f54-4aac-bfaf-f8acb235b3f0","resolution":{"observed_at":"2026-08-15T23:42:39.759791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.745942Z","title":null,"venue":null,"work_id":"19fb86ea-ab32-43da-a348-f9f693d9e934","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.269112Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:dc8736d75f96df71dfa6c948b40eaf1cbcd2b32b57b4e5c494aa428178873707","observation_id":"b4173172-baa4-45b1-917b-3ef8232f2774","resolution":{"observed_at":"2026-08-15T23:42:39.749481Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.736477Z","title":null,"venue":null,"work_id":"ee411c24-b5e9-4091-a9da-66c99ee61a0d","year":2013},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.272845Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:371d28f27d20dd25722af691f6bec836288a85df35d2fc5751e405f339b31b2e","observation_id":"88b325e1-75e2-4531-9171-761f790ca873","resolution":{"observed_at":"2026-08-15T23:42:39.739680Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.727081Z","title":null,"venue":null,"work_id":"37f84776-00b2-4ff4-a750-d347ada094cb","year":2017},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.276284Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:1e0eb886ac7216f0e12e3e3155aab49f286af777c989e6d50c6193f3ada156b6","observation_id":"42e077a2-9ad6-42d9-830e-db5a31a7f7e5","resolution":{"observed_at":"2026-08-15T23:42:39.730297Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.717132Z","title":null,"venue":null,"work_id":"90bf98b1-a3a5-44e4-94b2-d92e4d7fe37c","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.279738Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:11bcc88c222eb8d40913667a6109daed3eff3b7ceba26d83a86aee3022c81607","observation_id":"39a21e43-6009-4592-a68f-683806ce347f","resolution":{"observed_at":"2026-08-15T23:42:39.720602Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.707665Z","title":null,"venue":null,"work_id":"b03d6acd-7634-49b8-8b74-bbe142d6f8d9","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.283286Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:f6d6743211c53105ba96d157b05812b964c965c337af131eb9ef368c39fc8916","observation_id":"34523e3c-a6a7-4aaa-8f44-ce994aed444f","resolution":{"observed_at":"2026-08-15T23:42:39.710864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.698108Z","title":null,"venue":null,"work_id":"47dd712d-fd2a-474c-b2c3-8442c3fb8d7a","year":2015},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.286698Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:2b1c75db2fcba901b05a8f633d83ba93a2279e818f7db44380e8c20905c3e064","observation_id":"12413352-e7ba-42ae-8257-a452778b68fd","resolution":{"observed_at":"2026-08-15T23:42:39.701429Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.688233Z","title":null,"venue":null,"work_id":"d8b55ad3-e9b7-46b3-be44-8458b6ddcbbf","year":2021},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.289961Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:6d13b26bdc8930aa8a185cc07e9e87cf0bd8a587174624909735fa6cc7428eb3","observation_id":"6b74d12f-0a74-4c85-adce-aa1b097007a4","resolution":{"observed_at":"2026-08-15T23:42:39.691620Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.677898Z","title":"Luk and J","venue":null,"work_id":"7b012d4e-c3dc-446a-a03f-d6da8f4e56cc","year":2018},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.293601Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:229897631eeed3197e3a8588b6d9c8722078c2b923f8842d59fad973f7e6b6ce","observation_id":"6b47ad35-fb03-47c5-beea-5aa9370bb479","resolution":{"observed_at":"2026-08-15T23:42:39.681398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.11009","last_updated":"2020-06-13T19:26:03Z","snapshot_observed_at":"2026-08-11T00:14:02.429628Z","submitted_at":"2019-12-23T18:11:00Z","title":"On the implosion of a three dimensional compressible fluid","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.11009","snapshot_observed_at":"2026-08-15T23:42:39.296751Z","title":"Merle, P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.296751Z"},"links":{"cited_paper":"/paper/1912.11009","citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:9dde911157214e299ce925f3d6d0c885c9a127f4afdb9b07465be6027316d933","observation_id":"4efc0c40-b47f-4b15-b54d-ec04f4e78b3c","resolution":{"observed_at":"2026-08-15T23:42:39.296751Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:42:39.666499Z","title":"Nirenberg, On elliptic partial differential equati ons, Ann","venue":null,"work_id":"b373a51e-ab29-466c-bd27-88dfb31a454b","year":1959},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.300464Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:12addeaef15b522855a96a7ddf1d9f806b8be993a010c54a8afbaa17d64fb64d","observation_id":"ec2e90f4-af3a-4bc7-9a82-9dca2e874253","resolution":{"observed_at":"2026-08-15T23:42:39.670858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.656026Z","title":null,"venue":null,"work_id":"54c49ee9-3294-4933-b8a4-12f293760680","year":2018},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.304221Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:e13d1d54e45b0e800fbce1cc549b2c05e4e4287ea8eaf9dc0c44f3eeb76d3847","observation_id":"9b3c3255-99dc-48ab-a24d-7834ea086678","resolution":{"observed_at":"2026-08-15T23:42:39.659473Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.646066Z","title":"Priest and T","venue":null,"work_id":"3439b5fc-6ed6-48ba-b88b-c0a956975db2","year":2000},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.308122Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:d97fbd39365b0315afb5dd7967b092f4485f7719afc2a36a2f25f5a8621513ae","observation_id":"4513ee45-0542-4e0c-83cc-862dc548c69a","resolution":{"observed_at":"2026-08-15T23:42:39.649339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.634912Z","title":null,"venue":null,"work_id":"0e8ee9e1-67f3-4a1e-91c0-ed3379e4a7a9","year":2014},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.311803Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:fb46487c98dcfeb0aaa1bb822ab0e6572eb2bec85688881f25f212eb11406f4d","observation_id":"2b1dbe33-8bc4-4f95-94f6-b1db67810e3c","resolution":{"observed_at":"2026-08-15T23:42:39.638793Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.624556Z","title":"Sideris, Formation of singularities in three-dimen sional compressible ﬂuids, Comm","venue":null,"work_id":"c9d9bab0-454f-4644-8022-0835b590f51e","year":1985},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.315569Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:67d482b1d0159faf0fe9ff75c8174b3bd9dcfd272b046dc53dc4190163149208","observation_id":"72ab81b8-1da7-4e7a-b1bf-72c40487b32c","resolution":{"observed_at":"2026-08-15T23:42:39.628304Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.614022Z","title":null,"venue":null,"work_id":"718d52f7-ce3e-46e8-94b0-0101cfcde2b0","year":2018},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.319025Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:1075765694f25376ef815c0d935f82208929b65771c7aa3c93e8cc27ece91342","observation_id":"7a9992d6-2588-4844-b4ae-ccac5a2228a8","resolution":{"observed_at":"2026-08-15T23:42:39.617836Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.603814Z","title":"Tandberg-Hanssen, G","venue":null,"work_id":"0c4d03c1-112a-40db-9808-bf6d912445f8","year":1988},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.322526Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:de5f469a70c205ebb263800e1bc6960450e66a59d9a542e57d146be2dcb3dc02","observation_id":"907212bb-d93a-41b5-8ebe-ed06badd2df1","resolution":{"observed_at":"2026-08-15T23:42:39.607196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.593396Z","title":"Triebel, Theory of Function Spaces, Monogr","venue":null,"work_id":"832a32e6-0e8e-4ca3-a8a8-640940040dae","year":1983},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.325808Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:01922414cd07914a427e3f2990bca2ef942a2f9ae66332eac6bc3b347cc39af3","observation_id":"839cabfc-e51e-40e5-855b-7cb1c460532a","resolution":{"observed_at":"2026-08-15T23:42:39.597227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.582648Z","title":"Wang, Sharp nonlinear stability criterion of viscou s non-resistive MHD internal waves in 3D, Arch","venue":null,"work_id":"4733f7c1-a66d-41c6-be59-8d81336c13ef","year":2019},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.329579Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:715fd5cf236a16b38ddcdea54585d4f6be1a848695bf431702b03f901bbc244f","observation_id":"38b7080f-ad66-4492-86b9-52a5fe3822b9","resolution":{"observed_at":"2026-08-15T23:42:39.586450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.573143Z","title":null,"venue":null,"work_id":"8dc72ad1-333c-42ea-8fed-dd30069d4d5e","year":2021},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.332865Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:aa4fdcf61014be01c8c779c63aba871aa79ab64f223ec23f1469c40bbd20cedf","observation_id":"858de50d-f2f9-44f0-b730-862b066ffa49","resolution":{"observed_at":"2026-08-15T23:42:39.576429Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.563212Z","title":null,"venue":null,"work_id":"6ffc0f09-e83f-4d66-bb13-a552a9e8ff39","year":2018},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.336263Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:2e4c1f675201cc7a739a95e432eb96dee2e49cf5d8ce6a813c6183009abffec7","observation_id":"902da238-2698-4daa-a572-85a8de5643f4","resolution":{"observed_at":"2026-08-15T23:42:39.566622Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.553356Z","title":null,"venue":null,"work_id":"b4a6d490-2098-4e27-b5a0-8eb52c9682ff","year":2017},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.339682Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:f459b5651b886683d7b856e67bb7e2283d31571efcd61e277da771666540c483","observation_id":"cf388b6c-223d-4bd0-9b59-e4ec75b4abff","resolution":{"observed_at":"2026-08-15T23:42:39.556641Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.541505Z","title":null,"venue":null,"work_id":"df8dfdc4-02ff-4a00-a75e-87fc928947e2","year":2023},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.343015Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:d2d4812dc8ada7aa9b71898c7b68b15e3cd01b4bd6cbe7e77a4732cc57fbd25c","observation_id":"9301dfea-74d9-41b9-88d3-3e31e25948af","resolution":{"observed_at":"2026-08-15T23:42:39.546077Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.530827Z","title":null,"venue":null,"work_id":"6047dd6e-b02f-4ef2-8307-bfca4aea9312","year":2021},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.346393Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:10bc62ab1d3a74dc555e5768f4734d6154706f8cda919a8f51cfc1d01c6417a1","observation_id":"58294fd3-4cd0-477b-9140-32ade8275542","resolution":{"observed_at":"2026-08-15T23:42:39.534558Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.520911Z","title":null,"venue":null,"work_id":"7aeb9014-a081-4f1f-9f06-38e8e7cb284f","year":2022},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.349638Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:70568d83a99e03c08d7c94d9467cba5adeb37a4a692af21f4d633e5b9a5e644d","observation_id":"81787ff0-98f1-4c7c-959e-e5cadad5f809","resolution":{"observed_at":"2026-08-15T23:42:39.524169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.511068Z","title":null,"venue":null,"work_id":"f783dc1a-4a3b-42fe-a4a0-49e5e170f8ec","year":2009},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.352916Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:895762e92961f29772549e49c49071b9ba75c71ca4deda3119bdebf1af968355","observation_id":"ef5ee1e2-cae1-42d0-ad4b-12e7ae7c2eea","resolution":{"observed_at":"2026-08-15T23:42:39.514303Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.500622Z","title":"Xin, Blowup of smooth solutions to the compressible N avier-Stokes equation with compact density, Comm","venue":null,"work_id":"8992eefc-6768-4e3c-a614-ac6b2eff34c4","year":1998},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.356877Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:b46c3d6b3b316b2e6b8dfa0dfc85c89f27aa10cb4c3f1782ed41d7ccaac09d19","observation_id":"7c4eaaaf-6f25-4465-bf2b-7df796437070","resolution":{"observed_at":"2026-08-15T23:42:39.504496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.490257Z","title":null,"venue":null,"work_id":"506eaf84-ea8b-4b99-8d38-2d6b04758245","year":2013},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.360224Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:2305af7fe5c99682795675ae9de4e97af80f1c7a99e6970ec9718d48560f23de","observation_id":"923d9d3f-520d-4ac3-9b83-e8ef8db0e473","resolution":{"observed_at":"2026-08-15T23:42:39.493835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.479142Z","title":null,"venue":null,"work_id":"978a1058-e49a-4fd1-a0d9-29f6ab777fe6","year":2015},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.363621Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:b5269fa4316d3972fb2455330cf8e658a94af1e7163d447f92023e29a8a21f8b","observation_id":"0440682d-2664-46e3-b3cb-ded7aca4f273","resolution":{"observed_at":"2026-08-15T23:42:39.482601Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.468219Z","title":"Yin, Formation and construction of a shock wave for 3- D compressible Euler equations with the spherical initial data, Nagoya Math","venue":null,"work_id":"58a05c51-622f-4fa5-8d48-bc4d1218e581","year":2004},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.367679Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:5cdd6402b29f124e4b2683468f3ea1f8a573bc089fb6455d17f86359bd6d45ee","observation_id":"1148e524-809f-40f8-9736-17d401eaad5f","resolution":{"observed_at":"2026-08-15T23:42:39.471791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.457272Z","title":"Zhang, Global solutions to the 2D viscous, non-resis tive MHD system with large background magnetic ﬁeld, J","venue":null,"work_id":"73826f91-0024-4652-97a3-43c067544d91","year":2016},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.371166Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:532375b1ac0a200dde342bbc0b5df4f58fc32ba7f02f47164a0b6dc5b034051d","observation_id":"220b41db-4227-4d51-b248-31e91367447c","resolution":{"observed_at":"2026-08-15T23:42:39.461143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.445856Z","title":"Zhong, On local strong solutions to the 2D Cauchy prob lem of the compressible non-resistive magnetohydro- dynamic equations with vacuum, J","venue":null,"work_id":"5f322e71-ffb2-4f76-895c-19dacba67cc0","year":2020},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.374548Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:d4e747079ce877a9732e14febd229bfb3b51c49b30f46280ce1261e70087f452","observation_id":"2535dc0a-285c-4942-9693-b24374c7028d","resolution":{"observed_at":"2026-08-15T23:42:39.449961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-15T23:42:39.435626Z","title":null,"venue":null,"work_id":"493f5fa4-beca-4883-80a4-bf8635dff390","year":2018},"citing_paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T23:42:39.377961Z"},"links":{"citing_paper":"/paper/2505.04351"},"observation_digest":"sha256:98d3057dde313fb3cd4b843ebc4e2d9c7e61b869b164da156dea7381dc7c561a","observation_id":"904452d5-2509-48f5-9632-aaf5455ddf38","resolution":{"observed_at":"2026-08-15T23:42:39.439037Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.04351","last_updated":"2025-05-07T11:59:44Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-15T23:28:58.250680Z","submitted_at":"2025-05-07T11:59:44Z","title":"Global solutions to 3D compressible MHD equations with partial magnetic diffusion"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":1,"verified_fuzzy":26},"total_outbound_references":58},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2505.04351."}