{"as_of":"2026-08-16T19:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ce199848f84d02fd331cf3bc9783b375502fef268d28a7f96be84113457a9d8b","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:59:42.553122Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"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/1908.00606/citation-record","integrity":"/paper/1908.00606/integrity","json":"/paper/1908.00606/citation-record.json","paper":"/paper/1908.00606"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:59:43.862017Z","title":null,"venue":null,"work_id":"b96780d1-d917-4330-83a0-b30b264c8ef7","year":1990},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.188473Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:15749c96c365e5dc5d8894be364fa7fe1f8327f91e067147b34bde3b25b79c9d","observation_id":"f6b152d3-1bc7-4c20-8793-b4fe8fdca637","resolution":{"observed_at":"2026-08-14T15:59:43.873398Z","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":"2026-08-14T15:59:43.825094Z","title":"Bahouri and P","venue":null,"work_id":"bc002705-c487-401d-a855-f7a6c5d32c3d","year":1996},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.199337Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:7b69696ddb444b63a14cb7a1f5a73529beac43d9682d0cab078932e6f9e53a76","observation_id":"d7c2ba39-cd4d-4a0e-b3fa-c78ac88231bc","resolution":{"observed_at":"2026-08-14T15:59:43.833328Z","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":"2026-08-14T15:59:43.792475Z","title":"Bahouri and J","venue":null,"work_id":"0de2ec6e-539c-42c4-bbc8-5c71cfdd0d6b","year":1998},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.206854Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:89455bc9227b8d6cedd16f4ed1e430bd3ded1c9c19272921e0a40a673ebbff6f","observation_id":"ce7ee007-a1ec-44f2-9531-a0d11affce7e","resolution":{"observed_at":"2026-08-14T15:59:43.798227Z","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":"1002.3623","last_updated":"2010-02-18T21:27:44Z","snapshot_observed_at":"2026-08-16T09:07:17.252607Z","submitted_at":"2010-02-18T21:27:44Z","title":"Large data pointwise decay for defocusing semilinear wave equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1002.3623","snapshot_observed_at":"2026-08-14T15:59:42.215970Z","title":"Bieli and N","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.215970Z"},"links":{"cited_paper":"/paper/1002.3623","citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:e855743500b29bd0c9f8ad0565c94ba8bd82479643329e8324bbb19a2187ed04","observation_id":"ce4712fb-1b0b-4ae6-bc89-43026babf6be","resolution":{"observed_at":"2026-08-14T15:59:42.215970Z","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":"2026-08-14T15:59:43.763111Z","title":"Bieli and N","venue":null,"work_id":"f8ff54dc-f806-4261-85db-0b1525682e4c","year":2011},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.223314Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:5a00e5ff4c1c7caf19222e622b14bc313c855433f00697a7498e42d6ee7c948f","observation_id":"40da71e6-c6d0-4ec2-b112-f23771ac4104","resolution":{"observed_at":"2026-08-14T15:59:43.772487Z","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":"2026-08-14T15:59:43.736497Z","title":null,"venue":null,"work_id":"999abc4a-b112-442b-a41f-80f1178f987d","year":1979},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.232005Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:4c348ca28798e17636df3c646714c25bc15ceb586f10ee13d7acd4d7b425c3a2","observation_id":"b1d78512-2060-4efa-b286-fe1e68710868","resolution":{"observed_at":"2026-08-14T15:59:43.744823Z","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":"2026-08-14T15:59:43.707835Z","title":"Brenner and W","venue":null,"work_id":"17f7e607-067c-444b-bd32-21e269d03a51","year":1981},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.244703Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:32e9a67cdb099d2702e921919fdab759d1d0813af57ec314db8de1584a8ba18b","observation_id":"80d96eed-31f2-4e72-9952-2807e06c144a","resolution":{"observed_at":"2026-08-14T15:59:43.714387Z","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":"2026-08-14T15:59:43.662283Z","title":"Dafermos and I","venue":null,"work_id":"c11c0f10-0a84-485d-a06b-0341fd6eb125","year":2009},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.252795Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:bba66c6518b4017ff9d70900f8354d396d69adcde55212750f168954f00e5083","observation_id":"12b29130-c102-4ebc-bf22-3936068c4d67","resolution":{"observed_at":"2026-08-14T15:59:43.668822Z","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":"2026-08-14T15:59:43.635257Z","title":"Dafermos and I","venue":null,"work_id":"9d31d84b-0be8-4b9e-a13f-677c6d87bebc","year":2010},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.261989Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:effbc26650b822468ba265747a8d52a8ecc9c67b91561255312f51514da416b5","observation_id":"e44c5992-e7ba-4340-aeec-2c0d7d464f32","resolution":{"observed_at":"2026-08-14T15:59:43.643447Z","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":"1809.08284","last_updated":"2018-09-21T19:50:12Z","snapshot_observed_at":"2026-08-14T18:25:10.266127Z","submitted_at":"2018-09-21T19:50:12Z","title":"Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.08284","snapshot_observed_at":"2026-08-14T15:59:42.271467Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.271467Z"},"links":{"cited_paper":"/paper/1809.08284","citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:df57c6f6148fc35e38daf2fab16ab5f8c4d3352dad4d1648754c7de45b197202","observation_id":"383adcb0-483e-45e2-86d5-4dc8b57bd5f4","resolution":{"observed_at":"2026-08-14T15:59:42.271467Z","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":"2026-08-14T15:59:43.613223Z","title":null,"venue":null,"work_id":"26dda6cb-464e-4470-a187-3007eb23fd66","year":null},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.281531Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:ace75d19c9fe158e38faf2ffdb079692c6636b6e8279b529acf36d7e770fd476","observation_id":"d7da8b97-231b-4db4-aad1-df123667783a","resolution":{"observed_at":"2026-08-14T15:59:43.620191Z","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":{"arxiv_id":"1810.03182","last_updated":"2018-12-03T15:17:31Z","snapshot_observed_at":"2026-08-14T18:18:21.395300Z","submitted_at":"2018-10-07T17:20:28Z","title":"Scattering for defocusing energy subcritical nonlinear wave equations","version":3},"cited_work":{"arxiv_id":"1810.03182","doi":null,"metadata_source":"pith","pith_arxiv_id":"1810.03182","snapshot_observed_at":"2026-08-14T15:59:42.614978Z","title":"Scattering for defocusing energy subcritical nonlinear wave equations","venue":"math.AP","work_id":"5e5c1fbf-c4fb-43da-9120-4d0f3d8500ef","year":2018},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.289073Z"},"links":{"cited_paper":"/paper/1810.03182","citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:d723aeb13d6d0868d39cfd3bff815c4540aefa9443a11362a72c8c6550171b49","observation_id":"a3d644bd-1551-4f18-aaa0-eec9cd2c10c4","resolution":{"observed_at":"2026-08-14T15:59:42.623407Z","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":"2026-08-14T15:59:43.579401Z","title":"Ginibre and G","venue":null,"work_id":"360bccb4-021f-4066-8a3e-2c5a5bc358c7","year":1985},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.296273Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:f11d21153169c84d0a0514ee00f04d13e93915c64235dcd5c939470b8a0595b0","observation_id":"e8eb311a-46ab-4329-9d3a-7f71110bbbdc","resolution":{"observed_at":"2026-08-14T15:59:43.588586Z","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":"2026-08-14T15:59:43.556308Z","title":"Ginibre and G","venue":null,"work_id":"2134b4f1-d0d8-48a0-b4e0-6f7c48092277","year":1987},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.302631Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:77e5df8c533ecfd020dbf2c235c78bc3bba81344329eb4e096bb592431b55cac","observation_id":"70fa3381-82e3-4705-9400-a4b4c2203cae","resolution":{"observed_at":"2026-08-14T15:59:43.565563Z","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":"2026-08-14T15:59:43.491639Z","title":"Ginibre and G","venue":null,"work_id":"d417bd13-0d6f-4225-9b2c-f9d4eed8728f","year":1989},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.309630Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:f613a17ef59e3efcc8e62dfe465cb95ade0a3c3caf0fdc16877ab2582e2bf765","observation_id":"1cfd9dd0-9b5a-41e9-b60b-6be178decd63","resolution":{"observed_at":"2026-08-14T15:59:43.508330Z","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":"2026-08-14T15:59:43.472106Z","title":"Glassey and H","venue":null,"work_id":"b93873c3-6ce5-4bfb-afae-93e6ce998e6f","year":1982},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.317656Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:29ab98448a2ec4743dafec5383bf5fb33dcbd639f3167e5c142f77f845056032","observation_id":"e23792d5-6d17-47df-adb7-50ca6e9524b0","resolution":{"observed_at":"2026-08-14T15:59:43.477820Z","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":"2026-08-14T15:59:43.444543Z","title":"Grillakis","venue":null,"work_id":"9c721f38-39e7-4c4e-adad-f5188145fe78","year":1990},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.330497Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:d10d55e105cdff0eb7cebbf33981d6b8929a60d8b9be465b42a69e92feb4e696","observation_id":"1f689ea1-2d0f-4c7b-bc9b-495066afc1b9","resolution":{"observed_at":"2026-08-14T15:59:43.451625Z","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":"2026-08-14T15:59:43.414978Z","title":"Grillakis","venue":null,"work_id":"556d62d7-6d5a-4994-a282-002be58230a5","year":1992},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.339175Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:c09417965684caf4f8f434d52767d68a53fdab8e8ba2296855e07825886d73fc","observation_id":"550d036e-2a66-4c30-ac77-8680497c8f9f","resolution":{"observed_at":"2026-08-14T15:59:43.425497Z","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":"2026-08-14T15:59:43.379840Z","title":null,"venue":null,"work_id":"a0e95a18-e6b0-479f-8467-04a42808a028","year":2001},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.346252Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:458b5dbdb117c5931abd01265d0472e63b6343e9c1ce32a608b0aa8430e18952","observation_id":"571cf2fb-480c-49e5-a249-6c259ffa59b3","resolution":{"observed_at":"2026-08-14T15:59:43.391897Z","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":"2026-08-14T15:59:43.358221Z","title":null,"venue":null,"work_id":"666d429c-5f08-4717-944e-2628c16c3df2","year":2003},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.353774Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:aff10abc0cc38fb3d8102016f07475b58d1fe64d0a9feac43396658d7023224b","observation_id":"a4bdfbc6-4f28-4f17-8a5c-e0bbffe52c38","resolution":{"observed_at":"2026-08-14T15:59:43.364653Z","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":"2026-08-14T15:59:43.327155Z","title":"J¨ orgens","venue":null,"work_id":"c5d2816e-9cf6-4d32-a6ad-611883d872c4","year":1961},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.362836Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:c077e557181e265a797bb76afe252e1011b1e360dd9650229bba31fe616ec420","observation_id":"712c5b9e-213c-4a2e-8179-d2a8b57324dc","resolution":{"observed_at":"2026-08-14T15:59:43.335257Z","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":"2026-08-14T15:59:43.292469Z","title":"Kapitanski","venue":null,"work_id":"f12cc042-cd31-40b6-9994-78ec138a7d7d","year":1994},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.371568Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:a719678c7efe2791f70af48bd60ac9e9c58b5ef775c284b6a3e4d96e6f55a3b9","observation_id":"41e980d0-89f7-4fc2-b2e9-341186e7b634","resolution":{"observed_at":"2026-08-14T15:59:43.307813Z","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":"2026-08-14T15:59:43.269617Z","title":"Kapitanski ˘ ı","venue":null,"work_id":"b1325a77-8fb0-434f-ad52-f6780888b0f8","year":1990},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.381591Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:6256a4db8648aa8ad39e3279a95f511bb3d184e4b760bc362921f8eda140d4f6","observation_id":"6e49f594-ff48-43bb-a610-e648bb2b2955","resolution":{"observed_at":"2026-08-14T15:59:43.277138Z","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":"2026-08-14T15:59:43.246011Z","title":"Kapitanski ˘ ı","venue":null,"work_id":"c09f79f4-786d-4647-bba1-283c5a522d73","year":1990},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.388095Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:2338fa9a5953d5927900e61b09a4ed6575e5df785dcfecca50b83c806358f1a1","observation_id":"27930673-c741-41a4-9d56-5a325cf3ca85","resolution":{"observed_at":"2026-08-14T15:59:43.253227Z","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":"2026-08-14T15:59:43.212182Z","title":"Lindblad and T","venue":null,"work_id":"f2de366e-350e-460d-ab05-4057910f3da7","year":2012},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.393845Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:276131f3566f5b199b1f33110ce5d2c0dcb0153f089d4e9328d71b87c5040086","observation_id":"c9cc495d-f997-4a59-b91f-f54c8d7dc662","resolution":{"observed_at":"2026-08-14T15:59:43.220394Z","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":"2026-08-14T15:59:43.184142Z","title":null,"venue":null,"work_id":"23603e05-5b80-477a-b187-44f33d954d4d","year":1962},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.402370Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:94e7e2a4dce93d7858864116aa571c7ecb070c8f81d0edde1d7960b5a6f9dbb4","observation_id":"ab67c421-5638-4555-94cc-912c96339f76","resolution":{"observed_at":"2026-08-14T15:59:43.193530Z","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":"2026-08-14T15:59:43.159227Z","title":null,"venue":null,"work_id":"2d87a456-6641-42c7-979e-e128bdb92f26","year":1968},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.412151Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:a823d31ff8b720893b180c7a85c0a8bb730a5d216138b8c1dcdcd1bea8420fda","observation_id":"3a059ff7-d3d1-4fe0-966e-72a4b1445b5a","resolution":{"observed_at":"2026-08-14T15:59:43.167600Z","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":"2026-08-14T15:59:43.134548Z","title":null,"venue":null,"work_id":"fee6ba98-da84-40bb-a384-a7498b9ae74a","year":1976},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.419188Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:cd32ebe994ce5ac5f5e499d21b115875a2baa30944d468c73a12ed6cde3e0f01","observation_id":"b836b1b6-498e-422e-b69b-20c2af748d6f","resolution":{"observed_at":"2026-08-14T15:59:43.144536Z","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":"2026-08-14T15:59:43.107694Z","title":null,"venue":null,"work_id":"71794ca4-a952-4a8e-8344-6fce56537403","year":1982},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.429188Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:31063045af422e9ee3922366f7fb1006c33294407c149748dd883561be1b18bb","observation_id":"8178399a-ebc1-46bf-b838-145b3805273e","resolution":{"observed_at":"2026-08-14T15:59:43.114827Z","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":"2026-08-14T15:59:43.076204Z","title":null,"venue":null,"work_id":"cf8f08fd-55de-4d59-b8ea-ee0c499b3b0d","year":1982},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.437369Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:b7cde409c8a73d37c11277535e17701b43f766d526244d53c0beb4f0e9a0357c","observation_id":"b4102bf8-9bb8-401c-92a9-a52edf6a4634","resolution":{"observed_at":"2026-08-14T15:59:43.089853Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:59:42.443617Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.443617Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:3d67d3771b9489302133cd2960b5816610c348231bc6e83090a2012c6c5b0e0e","observation_id":"5819cb9b-e630-4f63-921b-2c6e87a86d44","resolution":{"observed_at":"2026-08-14T15:59:42.443617Z","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":"2026-08-14T15:59:43.029032Z","title":"Shatah and M","venue":null,"work_id":"4510b8a0-a02b-483f-af46-7846a40fa09b","year":1993},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.449703Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:e411413a61d53f01124a922ec18855b956694d5b5fedcf53ad04571546b563f4","observation_id":"bcf756bc-2c22-4403-befd-c246198ab30d","resolution":{"observed_at":"2026-08-14T15:59:43.037213Z","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":"2026-08-14T15:59:43.006873Z","title":"Shatah and M","venue":null,"work_id":"ad0df0bb-5bd9-4789-b852-33b945331d51","year":1994},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.456634Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:cc034b55b2ec7f03cb0cae573c2aecde52d599303627541816d6e6566a60ddcd","observation_id":"c010d120-8360-43d4-8506-b83b8ceb6f22","resolution":{"observed_at":"2026-08-14T15:59:43.012795Z","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":"2026-08-14T15:59:42.976728Z","title":null,"venue":null,"work_id":"17d7f8f6-de94-4663-ae21-fde109eab4e1","year":2017},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.464378Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:4c70873bfd96d31d824ba9b8930b9ec330cda5ab8dc194a6502532d24f2238ed","observation_id":"6d181d97-828e-4bb0-a891-17c52f9ed886","resolution":{"observed_at":"2026-08-14T15:59:42.989826Z","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":"2026-08-14T15:59:42.951168Z","title":"Sterbenz and D","venue":null,"work_id":"0a92ad98-14d1-4c06-9d39-1fc9fe04d8cc","year":2015},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.478695Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:4dcc246329080c2f423dffc2e655ea1c3fb1061fc0d2b06044e71fdb1a479225","observation_id":"19a4a7a4-45bb-43c6-bfc5-f3b22a64c97c","resolution":{"observed_at":"2026-08-14T15:59:42.957354Z","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":"2026-08-14T15:59:42.905063Z","title":null,"venue":null,"work_id":"843c6056-a346-486f-afb5-16d1ad962017","year":1968},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.487880Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:9b5b2ed294706740029baaa0e21ce82aae250d3f4f6f9e1c7cae0875579785f2","observation_id":"38b71e6c-0811-4ecd-9e3d-979f216c0eee","resolution":{"observed_at":"2026-08-14T15:59:42.919887Z","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":"2026-08-14T15:59:42.875277Z","title":null,"venue":null,"work_id":"5b55910d-27fa-440f-8ba2-84d0c1bb4e48","year":1989},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.497334Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:1e6cfc711069027a1d964f16a522994a69e5f16b764ff1fb5a10a44ef85319a2","observation_id":"1986c591-b8ab-494a-a58c-b505a11386bf","resolution":{"observed_at":"2026-08-14T15:59:42.885475Z","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":"2026-08-14T15:59:42.844891Z","title":null,"venue":null,"work_id":"95af037e-fcde-4d89-943d-1efedff3d9e6","year":2006},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.505277Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:df7577870f6bdb6785f20609f0996b18b215f8268d2992bf1fabceb3f0aa2596","observation_id":"c1cad529-7bfe-41e5-b781-cc08228c1615","resolution":{"observed_at":"2026-08-14T15:59:42.851913Z","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":"2026-08-14T15:59:42.817102Z","title":null,"venue":null,"work_id":"a10a6365-6235-4412-a7dd-77bf00848bf1","year":2013},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.514845Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:1062eedbe3617bbbc20c3419eb234a61297109e6c9eb9cc2255f99b0eb4a37a8","observation_id":"c037d6a0-bb0c-4f57-b6ef-5970b7e81822","resolution":{"observed_at":"2026-08-14T15:59:42.825432Z","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":"2026-08-14T15:59:42.789406Z","title":"von Wahl","venue":null,"work_id":"d24306f3-0164-40ce-b8ed-3db6317ab12e","year":1972},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.528944Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:8bae51521e45f9ea7bedae8bec89f8cfc00e045ac238d80d159be1f343facd20","observation_id":"c4c2776a-b760-44a0-94bd-d1b48f37321c","resolution":{"observed_at":"2026-08-14T15:59:42.796843Z","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":"2026-08-14T15:59:42.757862Z","title":"von Wahl","venue":null,"work_id":"9bf7c800-a0f9-4d49-8127-d78554df57bd","year":1975},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.534880Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:2eb5e2c74a189e35d54d049717ad5900f8c250bf9066729973ea3c41d50c43ad","observation_id":"d07cfae7-feda-414d-8248-844117c2cbc9","resolution":{"observed_at":"2026-08-14T15:59:42.769641Z","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":"2026-08-14T15:59:42.731309Z","title":null,"venue":null,"work_id":"ff400195-7861-4ab7-bbdc-0fff4388f4d7","year":2013},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.545560Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:eae2151ca8cdf3cf560569e677ebec15bbfc0719ff8be713dc21e12b440b586d","observation_id":"eacc0cfa-ed28-4105-b07b-00912f4f343b","resolution":{"observed_at":"2026-08-14T15:59:42.739242Z","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":"2026-08-14T15:59:42.705702Z","title":null,"venue":null,"work_id":"5e811ddd-87e3-4766-ac18-7bbfdfff784c","year":null},"citing_paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T15:59:42.553122Z"},"links":{"citing_paper":"/paper/1908.00606"},"observation_digest":"sha256:c495a7ba0e2aa0cc148198bb5e4cde1135562cd8f06f7d7fa2a567f5d7082ca3","observation_id":"15d5b664-2d53-48f5-8372-3e6b469b40a2","resolution":{"observed_at":"2026-08-14T15:59:42.715227Z","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"}}],"paper":{"arxiv_id":"1908.00606","last_updated":"2019-08-01T20:09:20Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T04:08:21.001667Z","submitted_at":"2019-08-01T20:09:20Z","title":"Global behaviors of defocusing semilinear wave equations"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":1,"verified_fuzzy":22},"total_outbound_references":43},"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 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.00606."}