{"id":"https://openalex.org/W4387045574","doi":"https://doi.org/10.1137/22m1538004","title":"Nonuniqueness for the Nonlocal Liouville Equation in \\(\\mathbb{R}\\) and Applications","display_name":"Nonuniqueness for the Nonlocal Liouville Equation in \\(\\mathbb{R}\\) and Applications","publication_year":2023,"publication_date":"2023-09-26","ids":{"openalex":"https://openalex.org/W4387045574","doi":"https://doi.org/10.1137/22m1538004"},"language":"en","primary_location":{"id":"doi:10.1137/22m1538004","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1538004","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://air.unimi.it/bitstream/2434/1028368/3/2211.12106.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060560414","display_name":"Luca Battaglia","orcid":"https://orcid.org/0000-0002-9899-4722"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Battaglia","raw_affiliation_strings":["Dipartimento di Matematica e Fisica, Universit\u00e0 degli Studi Roma Tre, 00146 Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Fisica, Universit\u00e0 degli Studi Roma Tre, 00146 Rome, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072974382","display_name":"Matteo Cozzi","orcid":"https://orcid.org/0000-0001-6105-692X"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Matteo Cozzi","raw_affiliation_strings":["Dipartimento di Matematica \u201cFederigo Enriques\u201d, Universit\u00e0 degli Studi di Milano, 20133 Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cFederigo Enriques\u201d, Universit\u00e0 degli Studi di Milano, 20133 Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110970191","display_name":"Antonio J. Fern\u00e1ndez","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]},{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio J. Fern\u00e1ndez","raw_affiliation_strings":["Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain; and Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Consejo Superior de Investigaciones Cient\u00edficas, 28049 Madrid, Spain; and Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I63634437","https://openalex.org/I4210157032"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051030991","display_name":"Angela Pistoia","orcid":"https://orcid.org/0000-0002-3108-8493"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Angela Pistoia","raw_affiliation_strings":["Dipartimento di Scienze di Base e Applicate per l\u2019Ingegneria, Sapienza Universit\u00e0 di Roma, 00161 Rome, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze di Base e Applicate per l\u2019Ingegneria, Sapienza Universit\u00e0 di Roma, 00161 Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051030991"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":0.5319,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59465797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"55","issue":"5","first_page":"4816","last_page":"4842"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8628997206687927},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7472622394561768},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5753247141838074},{"id":"https://openalex.org/keywords/liouville-equation","display_name":"Liouville equation","score":0.5566601157188416},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5528306365013123},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49297213554382324},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.47284892201423645},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.4507737159729004},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4325733780860901},{"id":"https://openalex.org/keywords/nonlinear-schr\u00f6dinger-equation","display_name":"Nonlinear Schr\u00f6dinger equation","score":0.4218946397304535},{"id":"https://openalex.org/keywords/ground-state","display_name":"Ground state","score":0.42183977365493774},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.41583168506622314},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4138907492160797},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.24780234694480896},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13340994715690613},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08943426609039307}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8628997206687927},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7472622394561768},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5753247141838074},{"id":"https://openalex.org/C2984086110","wikidata":"https://www.wikidata.org/wiki/Q2184037","display_name":"Liouville equation","level":3,"score":0.5566601157188416},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5528306365013123},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49297213554382324},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.47284892201423645},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.4507737159729004},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4325733780860901},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.4218946397304535},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.42183977365493774},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.41583168506622314},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4138907492160797},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.24780234694480896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13340994715690613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08943426609039307},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/22m1538004","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1538004","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:air.unimi.it:2434/1028368","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1028368","pdf_url":"https://air.unimi.it/bitstream/2434/1028368/3/2211.12106.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1705194","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1705194","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma3.it:11590/471149","is_oa":false,"landing_page_url":"https://hdl.handle.net/11590/471149","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.unimi.it:2434/1028368","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1028368","pdf_url":"https://air.unimi.it/bitstream/2434/1028368/3/2211.12106.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1622782223","display_name":null,"funder_award_id":"MCIN/AEI/10","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3055455859","display_name":"Analysis of geometry-driven phenomena in fluid mechanics, PDEs and spectral theory","funder_award_id":"862342","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3429648993","display_name":null,"funder_award_id":"PID202","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3681454997","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4042783231","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4126322094","display_name":null,"funder_award_id":"01100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G451917667","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G4703216401","display_name":null,"funder_award_id":"PID2021-123903NB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4821329654","display_name":null,"funder_award_id":"GNAMPA","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5967599077","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G661330594","display_name":null,"funder_award_id":"00110","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6645320825","display_name":null,"funder_award_id":"862342","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G6685425346","display_name":null,"funder_award_id":"0011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7254109578","display_name":null,"funder_award_id":"PID2021-123903NB-I00","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8260616629","display_name":null,"funder_award_id":"011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8570012161","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387045574.pdf","grobid_xml":"https://content.openalex.org/works/W4387045574.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1533350767","https://openalex.org/W1593887959","https://openalex.org/W1726113521","https://openalex.org/W1848958705","https://openalex.org/W2009033855","https://openalex.org/W2014051238","https://openalex.org/W2031048385","https://openalex.org/W2083575790","https://openalex.org/W2104433715","https://openalex.org/W2148814360","https://openalex.org/W2172034033","https://openalex.org/W2914185289","https://openalex.org/W2964302502","https://openalex.org/W3095733715","https://openalex.org/W3100067235","https://openalex.org/W3101881439","https://openalex.org/W3102821052","https://openalex.org/W3125087404","https://openalex.org/W4296050023","https://openalex.org/W4365935034"],"related_works":["https://openalex.org/W1978591761","https://openalex.org/W2941285539","https://openalex.org/W4287661821","https://openalex.org/W1579299075","https://openalex.org/W4206698794","https://openalex.org/W1575981832","https://openalex.org/W3089249579","https://openalex.org/W2062124054","https://openalex.org/W2021832449","https://openalex.org/W3208349892"],"abstract_inverted_index":{"We":[0],"construct":[1],"multiple":[2,22,52],"solutions":[3,23,30,56],"to":[4,24],"the":[5,13,28,37,49,58],"nonlocal":[6],"Liouville":[7],"equationMore":[8],"precisely,":[9],"for":[10,57],"K":[11],"of":[12,21,33,51],"formfor":[14],"some":[15],">":[16],"0,":[17],"we":[18],"prove":[19],"existence":[20,50],"(L)":[25],"bifurcating":[26],"from":[27],"bubbles.These":[29],"provide":[31],"examples":[32],"flat":[34],"metrics":[35],"in":[36],"half-plane":[38],"with":[39],"prescribed":[40],"geodesic":[41],"curvature":[42],"K(x)":[43],"on":[44],"its":[45],"boundary.Furthermore,":[46],"they":[47],"imply":[48],"ground":[53],"state":[54],"soliton":[55],"Calogero-Moser":[59],"derivative":[60],"NLS.":[61]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
