{"as_of":"2026-08-16T12:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3e05badddcee3c4710f71f6c5426180d70b12f34399b8d86d0008a315dd4ccbe","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":"2026-08-14T15:08:16.053493Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"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/1908.01921/citation-record","integrity":"/paper/1908.01921/integrity","json":"/paper/1908.01921/citation-record.json","paper":"/paper/1908.01921"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:08:17.766869Z","title":"Aftalion, and Q","venue":null,"work_id":"d0832406-0d1c-4cca-98e4-8a85286242a7","year":2001},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.404751Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:afcf8e5c0ac0299bb1c630af1d113f679b32e0b1de7af2aac891abc417e5ce58","observation_id":"57cd0a12-991d-4a93-840c-2c352b9848ae","resolution":{"observed_at":"2026-08-14T15:08:17.776368Z","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":"2026-08-14T15:08:17.737996Z","title":"Anderson, J","venue":null,"work_id":"53098c4c-60c8-4ba5-b9df-ce157eb4818f","year":1995},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.429109Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:9f35c1c1b435539d58a24a37b25be4bcf2983e3cc048ab061a91f1ad82fea111","observation_id":"3db9a52a-3252-4ba2-a063-60e9a22b90d0","resolution":{"observed_at":"2026-08-14T15:08:17.748932Z","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":"2026-08-14T15:08:17.716465Z","title":"Anglin, and W","venue":null,"work_id":"5273d4f0-f226-402a-a55b-a5ea40466fc6","year":2002},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.438003Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:e2cc314066ff49f0f7c93f076034c0191e40fc2ce33fa6da7ef50efbcbe29062","observation_id":"4b2165dd-8f3b-4442-ab5e-e58d6e894e6b","resolution":{"observed_at":"2026-08-14T15:08:17.723012Z","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":"2026-08-14T15:08:17.696733Z","title":"Antonelli, D","venue":null,"work_id":"c0b21afd-a3a9-47b6-aadd-f80be4939638","year":2012},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.451010Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:27dc3bd45e3cf2effabea8777599830968157f18a86cc47ffcb16838c5899ef5","observation_id":"b542944c-64e6-4172-9a16-6b56d0e87e9f","resolution":{"observed_at":"2026-08-14T15:08:17.702505Z","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":"2026-08-14T15:08:17.665099Z","title":"Bao,The Nonlinear Schrödinger Equation, Superﬂuidity and Quantum Hydrodynamics","venue":null,"work_id":"ed90a3b3-4878-4769-ba75-7f453ad1ffa6","year":null},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.466053Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:9ea7b7fe7c998114730861117df002f5cadbcb778a88cba6671eee3d32e4eb17","observation_id":"91999994-6570-4656-a3d9-c376995f7d52","resolution":{"observed_at":"2026-08-14T15:08:17.674559Z","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":"2026-08-14T15:08:17.637473Z","title":null,"venue":null,"work_id":"4b5dc4cf-3520-4b73-b8a5-82ff73597fb1","year":2002},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.487190Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:61e26784b3b7e71e6e45688ef95fd25738b36fdb399f3757e720cb208c030fb3","observation_id":"97a894c6-97bf-4cb4-b91a-b46929c13773","resolution":{"observed_at":"2026-08-14T15:08:17.644571Z","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":"2026-08-14T15:08:17.608387Z","title":"Berlyand, and V","venue":null,"work_id":"3df83baa-8977-4390-b7d7-0e0191aa1425","year":2011},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.499757Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:199eee9f12da6035a3ed10e233a1e8957fc677f47b1d5b520e044224d333a8be","observation_id":"74342538-1936-4052-b8a5-9342009290b6","resolution":{"observed_at":"2026-08-14T15:08:17.616469Z","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":"2026-08-14T15:08:17.585990Z","title":null,"venue":null,"work_id":"39634f68-5bfa-4c12-b645-f85fe36cf2e6","year":1924},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.506081Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:0ef78814be7400c8daa68c1c80619184fc86d3b1489ceb0c1f68f97c1e718526","observation_id":"a837b346-a4a1-47d7-aa57-e9bc6fe188ca","resolution":{"observed_at":"2026-08-14T15:08:17.594474Z","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":"2026-08-14T15:08:17.562398Z","title":"de Bouard, Nonlinear Schrödinger equations with magnetic ﬁelds.Diﬀ","venue":null,"work_id":"27c4b529-5180-4817-a4bd-3ab1d72eb647","year":1991},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.512100Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:9ed6a142bea009184d1de4dd6f332a20635b24bcaf39038a4faba64dd1813c55","observation_id":"28aea986-507c-4e9b-8af2-bd4f9fb1e6f0","resolution":{"observed_at":"2026-08-14T15:08:17.569636Z","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":"2026-08-14T15:08:17.539908Z","title":"Cai, and R, Li, Numerical regularized moment method of arbitrary order for Boltzmann- BGK equation.SIAM J","venue":null,"work_id":"763c58c6-46e1-4676-be72-4b7805815d40","year":2010},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.518528Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:54d2e227263ad27f9d90f8cc5014f818ef5b0e2a67b55f4904ccef4fbe79f37f","observation_id":"8a31e04f-1ec3-4447-b297-84a0e72b1a10","resolution":{"observed_at":"2026-08-14T15:08:17.547065Z","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":"2026-08-14T15:08:17.509451Z","title":"Carles, Critical Nonlinear Schrödinger equations with and without harmonic potential","venue":null,"work_id":"e047d798-78a7-48ed-be97-42c239f3df63","year":2002},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.533706Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:64c4f6bdc644ba21d2f506403fd14255f8168f399ffafeea4ed374ff87f13eac","observation_id":"fe0f8dd2-f87f-48a8-9930-1465372ef7c7","resolution":{"observed_at":"2026-08-14T15:08:17.516898Z","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":"2026-08-14T15:08:17.486294Z","title":"Carles, Global existence results for nonlinear Schrödinger equations with quadratic poten- tials","venue":null,"work_id":"403f5b20-86d2-4286-bb79-1785056ad9a8","year":2005},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.551181Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:708d3776427c7270fb1dadf3cc088502f21bd9a3e83a45a96ef807709c68e0d5","observation_id":"c7a37f13-cacd-4d6a-ace6-d14ef188d057","resolution":{"observed_at":"2026-08-14T15:08:17.493360Z","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":"2026-08-14T15:08:17.457022Z","title":"Cazenave,Semilinear Schrödinger Equations","venue":null,"work_id":"f7ff8a26-e499-4612-b0a8-cfe8ac2eb0d4","year":2003},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.576023Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:e0f8cd7d5ec8f36bfe2fd34057f7f46921406b8a2b0aa9cb0229680e81a4c1b8","observation_id":"0b1adc1f-a280-452b-a853-4c3199ee4049","resolution":{"observed_at":"2026-08-14T15:08:17.469015Z","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":"2026-08-14T15:08:17.434825Z","title":"Cazenave, and F","venue":null,"work_id":"42a3928b-5286-453f-8e95-db4dfa321a1f","year":1988},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.599696Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:2ae0f2ac93d9cdd94de8c348b6ff0d78175642fb32d3e5b7beeaf61fe7a29265","observation_id":"6d41de14-d7a4-4a76-a29d-2a81b5454308","resolution":{"observed_at":"2026-08-14T15:08:17.440434Z","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":"2026-08-14T15:08:17.412835Z","title":"Cazenave, and F","venue":null,"work_id":"dc663d53-8ef7-415a-9d95-2885042831a2","year":1989},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.605198Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:c0d3abfd904f16759fcf60430d44a6ab30be2cd0e6c5fe5c6825857cbfd99c30","observation_id":"392ea431-dd7e-4ea7-8f07-681da88f5b51","resolution":{"observed_at":"2026-08-14T15:08:17.419232Z","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":"2026-08-14T15:08:17.394847Z","title":"Chang, and C.-S","venue":null,"work_id":"6fe5ecf4-c5c5-4c39-b9a9-4ddc58fa1a8f","year":2007},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.611303Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:f7352e5232cf7a442e15609d2f6ae445cae2ab31445c58b06f04b71bb3ee6ba7","observation_id":"3671c1d7-4036-43c7-89e7-19c30013fd2f","resolution":{"observed_at":"2026-08-14T15:08:17.400561Z","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":"2026-08-14T15:08:17.373234Z","title":"Davis, M.-O","venue":null,"work_id":"ab095103-f292-4d31-bd10-963303addf7f","year":1995},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.619267Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:af92a80deb299b079edcc8181e674eaa48f9067521f15c1775f52dd08ea7e2e9","observation_id":"6e462d8b-60e5-4247-a477-cab93cc24cbd","resolution":{"observed_at":"2026-08-14T15:08:17.379277Z","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":"2026-08-14T15:08:17.352205Z","title":"Edwards, M","venue":null,"work_id":"960e065a-1745-42e4-bc05-45aa21f643c0","year":2012},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.628283Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:8e17bb1e84821bb16df77831565fa9ad9b5179db2185b76a3e387dfa658a22ca","observation_id":"01d9e436-8239-4bda-bb4e-b483452b59b2","resolution":{"observed_at":"2026-08-14T15:08:17.357729Z","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":"1211.2353","last_updated":"2012-11-10T21:33:50Z","snapshot_observed_at":"2026-08-16T11:53:50.091906Z","submitted_at":"2012-11-10T21:33:50Z","title":"Convergence analysis of a discontinuous Galerkin/Strang splitting approximation for the Vlasov--Poisson equations","version":1},"cited_work":{"arxiv_id":"1211.2353","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.2353","snapshot_observed_at":"2026-08-14T15:08:16.120009Z","title":"Convergence analysis of a discontinuous Galerkin/Strang splitting approximation for the Vlasov--Poisson equations","venue":"math.NA","work_id":"d9ecf8f0-d5d3-4b59-8494-8dd3bc12f5ac","year":2012},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.637822Z"},"links":{"cited_paper":"/paper/1211.2353","citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:a43103ab077da362b306afcc325b49f9b49b9b4f995082b5d3f1d385ba7bb9a5","observation_id":"83cd4ebe-3f0a-4bc2-abdc-33376714263b","resolution":{"observed_at":"2026-08-14T15:08:16.198643Z","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":"2026-08-14T15:08:17.331842Z","title":"Einstein, Quantentheorie des einatomigen idealen Gases.Sitzungsb","venue":null,"work_id":"df923928-833b-43aa-8299-a6710173c549","year":1924},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.656487Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:33d6019dd039a4cbe7408026c96415dfe00f0af0a6a91c2f61e34b8b794fc025","observation_id":"4de1ec55-b3f3-427c-9fe2-f59248c2cccc","resolution":{"observed_at":"2026-08-14T15:08:17.337863Z","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":"2026-08-14T15:08:17.311563Z","title":"Einstein, Quantentheorie des einatomigen idealen Gases 2.Sitzungsb","venue":null,"work_id":"e60171fe-adb0-4bbb-814c-2df9aef61124","year":1925},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.665143Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:132fef03b646a352c6e3985e7f9584d9d7c13bf21cc9c15fad6159d003ac2053","observation_id":"e9bca8d7-a30d-427e-874b-4fceb07c5871","resolution":{"observed_at":"2026-08-14T15:08:17.317414Z","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":"2026-08-14T15:08:17.292014Z","title":"Erdös, B","venue":null,"work_id":"03e2514c-1358-4a8c-9b30-26d0ab89c047","year":2007},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.672215Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:74a98efc93033554d5e1cfa8bc4805eb2723dcfe82f97a32943611a6784ada6e","observation_id":"252f0014-779e-40d3-9d65-56c349dd43e0","resolution":{"observed_at":"2026-08-14T15:08:17.298846Z","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":"2026-08-14T15:08:17.261331Z","title":"Fanelli, Non-trapping magnetic ﬁelds and Morrey-Campanato estimates for Schrödinger operators","venue":null,"work_id":"16993bc9-b751-4818-ae8f-93c10c81d838","year":2009},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.690687Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:3382f348eafad1afc140bfb2f9411032fd5daf1f4bd3f6371818d9b1e38d71b2","observation_id":"46b4553e-54fe-4d77-9a92-4aef8d2112bd","resolution":{"observed_at":"2026-08-14T15:08:17.267050Z","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":"2026-08-14T15:08:17.238718Z","title":"Fröhlich, and E","venue":null,"work_id":"1de63d37-49fb-4d00-b760-7abda4207c89","year":2004},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.698792Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:eb47ff25b720f453e33130f04bf6fd1050750b5df4df9b66f554920ee4762e02","observation_id":"5a46990d-a965-4f8f-bfb7-f92b41a5effe","resolution":{"observed_at":"2026-08-14T15:08:17.244600Z","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":"2026-08-14T15:08:17.212798Z","title":"Garcia, Magnetic virial identities and applications to blow-up for Schrödinger and wave equations","venue":null,"work_id":"d7954203-b082-4d29-936e-65b7239a4b16","year":2012},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.708674Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:a059c9e18eae6f2b3f65a6ae4296ae2a922b8ea08b71e0ad9dc3badd3d850b78","observation_id":"5f10afe6-7d63-4fd4-97e1-0bd647910f1d","resolution":{"observed_at":"2026-08-14T15:08:17.222475Z","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":"2026-08-14T15:08:17.191013Z","title":"Ginsberg, J","venue":null,"work_id":"264814c2-09ae-4a2e-adc8-92a56987abd1","year":2005},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.717539Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:a565627645d489256b461de433680977853169d35d55a2d6d1329272404f8300","observation_id":"f053e23f-6c48-4a0d-a72f-886aaa06bc5a","resolution":{"observed_at":"2026-08-14T15:08:17.196949Z","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":"2026-08-14T15:08:17.165955Z","title":"Antoine, and R","venue":null,"work_id":"33a96575-71fc-4616-953b-561a768868be","year":null},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.750723Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:60051807d1e6be7b670c2aae5ef61db55eb4af0725ed24aa004891e34e059687","observation_id":"007d5457-8cc7-47c7-aa73-1ab62d0c9d93","resolution":{"observed_at":"2026-08-14T15:08:17.172131Z","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":"2026-08-14T15:08:17.146789Z","title":"Grisouard, Quantum vortices in a glass of Bose-Einstein condensate","venue":null,"work_id":"e1766ee7-658f-487a-bcf4-77c41a200005","year":2009},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.760192Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:d5031c42a50758cd3c1c6eec6d65ea77d5cafee7a2d73da6b17bff98857f43b4","observation_id":"492b9841-95b9-4b14-a86b-e1750f706456","resolution":{"observed_at":"2026-08-14T15:08:17.153591Z","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":"2026-08-14T15:08:17.127557Z","title":"Gross, Structure of a quantized vortex in boson systems Il.Nuovo Cimento 20 (1961), no.3, 454–457","venue":null,"work_id":"ee0b1fea-40b2-448d-975d-ffc4ae6050eb","year":1961},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.767654Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:76b158deb64d5a51481d10a696be5f3ca6dc92f9a6d597db396d26e546db9c23","observation_id":"e45f671a-1e88-4741-99fb-b79692e1725c","resolution":{"observed_at":"2026-08-14T15:08:17.134016Z","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":"2026-08-14T15:08:17.108489Z","title":null,"venue":null,"work_id":"1f7506e2-6fcd-44e1-be03-9f94d7e51729","year":2008},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.775706Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:9acb1c28f90b51d8ecf1bf759e7d037e709149038afd5c5efc3bdd131c7ffd80","observation_id":"d3253b69-820e-4952-bf74-814876e4e9e1","resolution":{"observed_at":"2026-08-14T15:08:17.114492Z","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":"2026-08-14T15:08:17.084716Z","title":null,"venue":null,"work_id":"4178ec6f-9d32-4252-af57-ee85312eb2a5","year":2007},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.785532Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:cdc67d4bb97f33d7ec52964421a0072a812f7158736706f24e8c919113477e2d","observation_id":"c72c1e53-5b66-4bcc-aafa-14e366c24ab1","resolution":{"observed_at":"2026-08-14T15:08:17.091175Z","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":"2026-08-14T15:08:17.051225Z","title":null,"venue":null,"work_id":"f844bf2c-0c6d-4ffe-b42d-16e6b7047aa0","year":1996},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.794820Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:421c344f33861288cc7b5257665e7f367511c26df07317c9852142275792d8a7","observation_id":"b8e10e70-01f9-4a97-8885-7418d4eb994a","resolution":{"observed_at":"2026-08-14T15:08:17.057600Z","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":"2026-08-14T15:08:17.031683Z","title":"Kavian, and F","venue":null,"work_id":"2610ce0c-2ade-4cbd-bacb-f49fafcf39c5","year":1994},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.802107Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:a0ae5178d71a79a117eddb9d1e066f1550b506f82fb8a4257c0e88b2c59103e7","observation_id":"6bd7aca4-7cc3-4717-a801-f6291c7d4d1e","resolution":{"observed_at":"2026-08-14T15:08:17.037323Z","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":"2026-08-14T15:08:17.009440Z","title":"Killip, M","venue":null,"work_id":"c53fabec-0a8b-42c6-8e88-6f6b468f5b4b","year":2009},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.807428Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:2a30ff6a617129fc8948c1035e79db8a380ab88bc474b4eb21fe68131cefdf6f","observation_id":"b04db3a9-dcaa-4e2b-a4fa-532186573298","resolution":{"observed_at":"2026-08-14T15:08:17.015938Z","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":"2026-08-14T15:08:16.989939Z","title":"Lax, and B","venue":null,"work_id":"dad2fb4c-c337-44d9-8e54-5bdce56a89e6","year":1964},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.819579Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:81f336152e046067801d02d1bae99c33bc933fb88b0231cde84842d06cd74906","observation_id":"b908d13e-a3d9-43ad-9d82-2ba082eecce3","resolution":{"observed_at":"2026-08-14T15:08:16.996686Z","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":"2026-08-14T15:08:16.968261Z","title":"Li, and X","venue":null,"work_id":"44716796-67da-48b2-ac88-5ba83140e207","year":2010},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.830373Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:bff7ada3e03addd8068bee871d2c18447b550b6fb83b77524d2bca05bb636e5f","observation_id":"92c7a5ed-d270-47f3-b06a-7fd74d2e67a1","resolution":{"observed_at":"2026-08-14T15:08:16.976888Z","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":"2026-08-14T15:08:16.941987Z","title":"Liu, and E","venue":null,"work_id":"03240b5c-610d-47d0-b665-fe7ded73445b","year":2004},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.857986Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:899a9a34dcdf3f7835971969768a6e69273bf27f9d4ee2bf906e880627107f8d","observation_id":"fd56e469-851c-402f-9ac1-9993efa6a76b","resolution":{"observed_at":"2026-08-14T15:08:16.949174Z","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":"2026-08-14T15:08:16.921591Z","title":"Lu, and J","venue":null,"work_id":"ca275b75-2b13-4dfe-9691-565d536de103","year":2013},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.874174Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:69e5b71b1e96e516d42b2691d3f444e4255e979663b7a55581fd1789f20c5351","observation_id":"8ea9727f-64e2-4fa2-b8ba-f94de3cf111d","resolution":{"observed_at":"2026-08-14T15:08:16.927420Z","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":"2026-08-14T15:08:16.903051Z","title":"Lubich, On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations","venue":null,"work_id":"206b9ea4-08c0-4bbd-baf6-30c3eed8dbe8","year":2008},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.881499Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:41e6d926206836d6827ecfcfba812371608691091341e67291a6423d86101579","observation_id":"47df1466-9769-413c-82c1-0ba1ab544d72","resolution":{"observed_at":"2026-08-14T15:08:16.908865Z","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":"2026-08-14T15:08:16.882951Z","title":"Matthews, B","venue":null,"work_id":"1734eafc-c45c-4d06-9f09-af2bb64baf9d","year":1999},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.889047Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:326b32b780136b0f3e42ebb1b5e6f9e7c021ea73e4b17b556870ae81fbf2bb6d","observation_id":"3a5143f6-dbeb-4a7e-b2a8-63396074143f","resolution":{"observed_at":"2026-08-14T15:08:16.888422Z","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":"2026-08-14T15:08:16.859856Z","title":"Michel, Remarks on non-linear Schrödinger equation with magnetic ﬁelds.Comm","venue":null,"work_id":"dd1bdfad-dddd-4220-b3ea-5d01e5899a5d","year":2008},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.899707Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:36941b3fa0bf2077e4f71780b1d5d103fe9d6a2f0266593171c211d9041fba1a","observation_id":"8175ff9e-1508-41b4-8470-77bbef3adf88","resolution":{"observed_at":"2026-08-14T15:08:16.867518Z","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":"2026-08-14T15:08:16.837251Z","title":"Mueller, and T","venue":null,"work_id":"7e9a4d39-5aa4-4fed-9ad3-de28c410b2db","year":2002},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.909831Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:5f04faef5e741fd2f37f95880f4134a44c9e0ff551d1ad9ca39449a8fb289c78","observation_id":"22e13bf0-6e40-4b06-b4e6-08d4ccaeb22c","resolution":{"observed_at":"2026-08-14T15:08:16.843362Z","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":"2026-08-14T15:08:16.812167Z","title":"Nakamura, Local solvability and smoothing eﬀects of nonlinear Schrödinger equations with magnetic ﬁelds.Funkcial Ekvac","venue":null,"work_id":"11734574-c4c8-434d-9a96-af73c6d6698d","year":2001},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.920362Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:2665618631290a64e70bfe558ddb82d8a73a979e2be81dceb6b99c239e765999","observation_id":"754cc667-b6cc-4cb6-b428-b545b4816732","resolution":{"observed_at":"2026-08-14T15:08:16.823105Z","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":"2026-08-14T15:08:16.787156Z","title":"Oh, Cauchy problem and Ehrenfest’s law of nonlinear Schrödinger equations with potentials","venue":null,"work_id":"b9fda99d-17b9-4ea5-9c07-3c39a4fdd11f","year":1989},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.930029Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:8e59dd38015f6116b87eba9e9491ea4a52ae8d6b8d32894e670d58da73fecddf","observation_id":"72f85114-08cd-4420-9ccf-79809ffddc45","resolution":{"observed_at":"2026-08-14T15:08:16.795751Z","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":"2026-08-14T15:08:16.765449Z","title":"Ólafsson, and S","venue":null,"work_id":"522971fd-75ea-48d5-893c-885364ca84e7","year":2008},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.937345Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:c7bb61094e2008009360050b9fca373da1eaa7339b97822b7ff8ff84fdcb1f45","observation_id":"01f980b0-a9f5-4a62-8bf1-fdb9def55e7e","resolution":{"observed_at":"2026-08-14T15:08:16.773386Z","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":"2026-08-14T15:08:16.742960Z","title":"Pitaevskii, Vortex lines in an imperfect Bose gas.Soviet","venue":null,"work_id":"c16d9efa-aa98-4503-9be6-0824c9c7b0f9","year":1961},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.943428Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:58519d4a56a30159cb595f1a68687b3570036d346bfecd60185857b1c094ba52","observation_id":"3b693a54-a5c7-4c61-a63a-f433152b9da5","resolution":{"observed_at":"2026-08-14T15:08:16.748386Z","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":"2026-08-14T15:08:16.724090Z","title":"Ruprecht, M","venue":null,"work_id":"5faa9ac4-8dbc-4618-aefd-23f3e1a9bd9c","year":1995},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.953532Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:7997f6d025fad285531f7300f8c9af5bf69a02b63aeedcb391ee3492614a5d62","observation_id":"81905eca-bfa7-486d-baba-c13045c8317a","resolution":{"observed_at":"2026-08-14T15:08:16.730567Z","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":"2026-08-14T15:08:16.698901Z","title":"Rybin, G","venue":null,"work_id":"a1d356c1-4b5b-46fb-bb2c-acf666474d6d","year":2000},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.964481Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:cd4da34945811ed5c76daefe2e8a0b88637867e5f212ffdfa32c1e0d0122656b","observation_id":"c088f993-aa53-4ac4-96be-0124bbd55f59","resolution":{"observed_at":"2026-08-14T15:08:16.706400Z","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":"2026-08-14T15:08:16.674741Z","title":"Squassina, Soliton dynamics for the nonlinear Schrödinger equation with magnetic ﬁeld","venue":null,"work_id":"ede57be5-a4af-41ae-aea2-7bb32d09b197","year":2009},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.973779Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:7302443343bcecb9c2c747bd854a761621e8546aa7d64f28f2db410f877f4086","observation_id":"73480092-e78e-4037-8098-a4bc35a5fa4f","resolution":{"observed_at":"2026-08-14T15:08:16.682721Z","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":"2026-08-14T15:08:16.651409Z","title":"Strang, On the construction and comparison of diﬀerence schemes.SIAM J","venue":null,"work_id":"17b07e18-9497-4a25-8672-545524783136","year":1968},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.982974Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:941bb8608ea257837e253eb0af6b71c688a9f427f008d3e1ab66c4f6b0becd75","observation_id":"4e3205cb-9525-42c6-85c4-7e2bbae38683","resolution":{"observed_at":"2026-08-14T15:08:16.658012Z","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":"2026-08-14T15:08:16.629427Z","title":"Tao,Nonlinear Dispersive Equations: Local and global analysis","venue":null,"work_id":"6f1f806c-623e-43a6-a0aa-83731d62b06d","year":2006},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:15.990856Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:9d886d7286668956095bd64e697e6c33fa4765d4d12926c64531f7977771a0db","observation_id":"f1d8b3c9-4f23-4367-bbdb-b0f146f258f2","resolution":{"observed_at":"2026-08-14T15:08:16.636394Z","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":"2026-08-14T15:08:16.609707Z","title":"Tsutsumi,L2-solutions for nonlinear Schrödinger equations and nonlinear groups.Funkcial Ekvac","venue":null,"work_id":"771d1acc-e405-439e-8b5b-08ce58bc52f3","year":1987},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.004228Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:a96a95dde5a03864b78c89256ca99946df291bc3530b1af80e38f8d49ca47e55","observation_id":"8b00456a-2d3e-4466-8335-4f37f3c7eeff","resolution":{"observed_at":"2026-08-14T15:08:16.616441Z","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":"2026-08-14T15:08:16.587962Z","title":"Wadati, and T","venue":null,"work_id":"623ed054-60c1-47b3-a9aa-88f31c6e3470","year":1998},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.015431Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:23a0abdd8d6c68c013ca4c252c521f5038fcdcc8526784085a12b152f7cec124","observation_id":"fa117eff-cab5-4b69-8a23-50562f3a67d0","resolution":{"observed_at":"2026-08-14T15:08:16.596397Z","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":"2026-08-14T15:08:16.560125Z","title":"Yajima, Schrödinger evolution equations with magnetic ﬁelds.J","venue":null,"work_id":"e3988c77-f6ac-42d0-b8f4-2603821786eb","year":1991},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.021829Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:468ddde60944f988b4f9aa47f63d376a47c48eadb6cb5eae65bcd2b2684dc8fc","observation_id":"80e9b20c-2477-4b24-8bd5-999c57d3f1fb","resolution":{"observed_at":"2026-08-14T15:08:16.571833Z","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":"2026-08-14T15:08:16.468743Z","title":"Zhang, Global wellposedness and scattering for 3D energy critical Schrödinger equation with repulsive potential and radial data.Forum Math","venue":null,"work_id":"68b5ba62-9b89-4795-a8bd-79577fec112a","year":2007},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.029566Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:e43ec4d07123f7e52a1658a5927b8c44ccbce716804e3bfb2c3a3d34ae252d6c","observation_id":"9ad594da-0794-43f2-b458-861549467dbd","resolution":{"observed_at":"2026-08-14T15:08:16.540390Z","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":"2026-08-14T15:08:16.439446Z","title":"Zhang, and S","venue":null,"work_id":"63f073fc-0d3b-45ed-8efd-37f5b9da26c3","year":2010},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.036593Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:91961a39e2d12b7837c94d1e402a6c399c958a999a0172bbd146cc736fc986fd","observation_id":"0561d575-236b-4aa0-b8b0-d5f286216f78","resolution":{"observed_at":"2026-08-14T15:08:16.445456Z","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":"2026-08-14T15:08:16.273137Z","title":"Zheng, Spectral multipliers for Schrödinger operators.Illinois J","venue":null,"work_id":"dbf3a7fb-67da-4244-b48d-a0053e6e5b8c","year":2010},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.044367Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:327e65a0c4ef66116d342056a1b35e8570387a3d7467340d6483433dc6c4a567","observation_id":"31c0041b-4f37-4553-90aa-e1e31d6eacad","resolution":{"observed_at":"2026-08-14T15:08:16.349727Z","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":"2026-08-14T15:08:16.249329Z","title":"Zheng, Fractional regularity for nonlinear Schrödinger equations with magnetic ﬁelds","venue":null,"work_id":"5ba24d0c-742d-437b-a8b1-41d76a21a4e0","year":2012},"citing_paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:16.053493Z"},"links":{"citing_paper":"/paper/1908.01921"},"observation_digest":"sha256:eef38bf926091a2594f9cd077cf2f9b6e65a0d6703ccb30b8a13a4a2c7c17c1b","observation_id":"62ea9038-1e74-4c3f-be30-4db569904016","resolution":{"observed_at":"2026-08-14T15:08:16.257235Z","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"}}],"paper":{"arxiv_id":"1908.01921","last_updated":"2019-08-06T01:23:42Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T04:07:12.499605Z","submitted_at":"2019-08-06T01:23:42Z","title":"Nonlinear Schr\\\"odinger Equations for Bose-Einstein Condensates"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":52},"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":"2026-08-16T06:30:59.297886+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 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:1908.01921."}