{"id":"https://openalex.org/W3200659520","doi":"https://doi.org/10.1017/s0960129522000123","title":"String diagram rewrite theory III: Confluence with and without Frobenius","display_name":"String diagram rewrite theory III: Confluence with and without Frobenius","publication_year":2022,"publication_date":"2022-06-13","ids":{"openalex":"https://openalex.org/W3200659520","doi":"https://doi.org/10.1017/s0960129522000123","mag":"3200659520"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129522000123","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129522000123","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F6E1207A100A9F1CFB48FFBAEC785F61/S0960129522000123a.pdf/div-class-title-string-diagram-rewrite-theory-iii-confluence-with-and-without-frobenius-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F6E1207A100A9F1CFB48FFBAEC785F61/S0960129522000123a.pdf/div-class-title-string-diagram-rewrite-theory-iii-confluence-with-and-without-frobenius-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004609161","display_name":"Filippo Bonchi","orcid":"https://orcid.org/0000-0002-3433-723X"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Filippo Bonchi","raw_affiliation_strings":["University of Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072444101","display_name":"Fabio Gadducci","orcid":null},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Fabio Gadducci","raw_affiliation_strings":["University of Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023841122","display_name":"Aleks Kissinger","orcid":"https://orcid.org/0000-0002-6090-9684"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Aleks Kissinger","raw_affiliation_strings":["University of Oxford, Oxford, UK"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114374645","display_name":"Pawe\u0142 Soboci\u0144ski","orcid":"https://orcid.org/0000-0002-7992-9685"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Pawe\u0142 Soboci\u0144ski","raw_affiliation_strings":["Tallinn University of Technology, Tallinn, Estonia"],"affiliations":[{"raw_affiliation_string":"Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016173850","display_name":"Fabio Zanasi","orcid":"https://orcid.org/0000-0001-6457-1345"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Fabio Zanasi","raw_affiliation_strings":["University College London, London, UK"],"affiliations":[{"raw_affiliation_string":"University College London, London, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5072444101"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":null,"apc_paid":null,"fwci":1.1106,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80653836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"7","first_page":"829","last_page":"869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12034","display_name":"Digital and Cyber Forensics","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/confluence","display_name":"Confluence","score":0.9824330806732178},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.9237791299819946},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.7948901653289795},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7612290382385254},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.6149164438247681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5007967948913574},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.4733814299106598},{"id":"https://openalex.org/keywords/normalization-property","display_name":"Normalization property","score":0.4278588891029358},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.363341748714447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35374340415000916},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3202304244041443},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30229854583740234},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10915952920913696}],"concepts":[{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.9824330806732178},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.9237791299819946},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.7948901653289795},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7612290382385254},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.6149164438247681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5007967948913574},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.4733814299106598},{"id":"https://openalex.org/C159333733","wikidata":"https://www.wikidata.org/wiki/Q7051809","display_name":"Normalization property","level":2,"score":0.4278588891029358},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.363341748714447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35374340415000916},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3202304244041443},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30229854583740234},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10915952920913696},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0960129522000123","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129522000123","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F6E1207A100A9F1CFB48FFBAEC785F61/S0960129522000123a.pdf/div-class-title-string-diagram-rewrite-theory-iii-confluence-with-and-without-frobenius-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/1199448","is_oa":false,"landing_page_url":"https://hdl.handle.net/11568/1199448","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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:cris.unibo.it:11585/903811","is_oa":true,"landing_page_url":"https://www.cambridge.org/core/journals/mathematical-structures-in-computer-science/article/string-diagram-rewrite-theory-iii-confluence-with-and-without-frobenius/F6E1207A100A9F1CFB48FFBAEC785F61#","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:10151067","is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/id/eprint/10151067/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   Mathematical Structures in Computer Science       (2022)     (In press).  ","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1017/s0960129522000123","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129522000123","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F6E1207A100A9F1CFB48FFBAEC785F61/S0960129522000123a.pdf/div-class-title-string-diagram-rewrite-theory-iii-confluence-with-and-without-frobenius-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2133254030","display_name":null,"funder_award_id":"2014-20","funder_id":"https://openalex.org/F4320338080","funder_display_name":"European Social Fund"},{"id":"https://openalex.org/G2484832597","display_name":null,"funder_award_id":"2014-2020","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G3422143364","display_name":null,"funder_award_id":"PRIN 2017","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G361948359","display_name":null,"funder_award_id":"EPSRC EP","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4854729358","display_name":null,"funder_award_id":"EP/V002376/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4898532384","display_name":null,"funder_award_id":"2014-2020","funder_id":"https://openalex.org/F4320321090","funder_display_name":"Eesti Teadusagentuur"},{"id":"https://openalex.org/G4906075609","display_name":null,"funder_award_id":"PRIN 2017FTXR7S","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G50922248","display_name":null,"funder_award_id":"PRG1210","funder_id":"https://openalex.org/F4320321090","funder_display_name":"Eesti Teadusagentuur"},{"id":"https://openalex.org/G5484349207","display_name":null,"funder_award_id":"2014-2020.4.05.19-0001","funder_id":"https://openalex.org/F4320338080","funder_display_name":"European Social Fund"},{"id":"https://openalex.org/G5720628078","display_name":null,"funder_award_id":"2017FTXR7S","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G6707449129","display_name":null,"funder_award_id":"2014-2020","funder_id":"https://openalex.org/F4320338080","funder_display_name":"European Social Fund"},{"id":"https://openalex.org/G7698081211","display_name":"Nominal String Diagrams","funder_award_id":"EP/V002376/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321090","display_name":"Eesti Teadusagentuur","ror":"https://ror.org/00jjeja18"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3200659520.pdf","grobid_xml":"https://content.openalex.org/works/W3200659520.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W32293111","https://openalex.org/W110217058","https://openalex.org/W154180254","https://openalex.org/W180420728","https://openalex.org/W196782186","https://openalex.org/W1029858661","https://openalex.org/W1482905321","https://openalex.org/W1487429213","https://openalex.org/W1543763168","https://openalex.org/W1574796876","https://openalex.org/W1576109326","https://openalex.org/W1606013113","https://openalex.org/W1656783145","https://openalex.org/W1675309158","https://openalex.org/W1787979754","https://openalex.org/W1841342726","https://openalex.org/W1852104647","https://openalex.org/W1852177911","https://openalex.org/W1965620900","https://openalex.org/W1968386045","https://openalex.org/W1976563762","https://openalex.org/W1981469834","https://openalex.org/W2003970329","https://openalex.org/W2010590963","https://openalex.org/W2012949804","https://openalex.org/W2031613223","https://openalex.org/W2054776476","https://openalex.org/W2057271907","https://openalex.org/W2065340550","https://openalex.org/W2102357532","https://openalex.org/W2112234929","https://openalex.org/W2119180894","https://openalex.org/W2135173989","https://openalex.org/W2136544532","https://openalex.org/W2164661513","https://openalex.org/W2182286275","https://openalex.org/W2208563212","https://openalex.org/W2279876460","https://openalex.org/W2559338475","https://openalex.org/W2596819160","https://openalex.org/W2786550720","https://openalex.org/W2963644874","https://openalex.org/W3037550422","https://openalex.org/W3038088247","https://openalex.org/W3098673620","https://openalex.org/W3099162983","https://openalex.org/W3101612166","https://openalex.org/W3105021321","https://openalex.org/W3105507374","https://openalex.org/W3109435874","https://openalex.org/W3157210582","https://openalex.org/W4241220941","https://openalex.org/W4248547811","https://openalex.org/W6607984785","https://openalex.org/W6637815478","https://openalex.org/W6785915538"],"related_works":["https://openalex.org/W2142543897","https://openalex.org/W1933757178","https://openalex.org/W1504820687","https://openalex.org/W16617677","https://openalex.org/W1512579902","https://openalex.org/W4210495575","https://openalex.org/W2756087029","https://openalex.org/W1583436687","https://openalex.org/W2475418661","https://openalex.org/W2517733820"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,64],"paper,":[3],"we":[4,48,90],"address":[5],"the":[6,88,92,120],"problem":[7],"of":[8,74,95,106,119],"proving":[9],"confluence":[10,38,52,73],"for":[11,39,53,70,98],"string":[12,57],"diagram":[13,58],"rewriting,":[14,59],"which":[15,101],"was":[16],"previously":[17],"shown":[18],"to":[19,66,110,113],"be":[20,111],"characterised":[21],"combinatorially":[22],"as":[23],"double-pushout":[24],"rewriting":[25,35,41,126],"with":[26,78],"interfaces":[27],"(DPOI)":[28],"on":[29,125],"(labelled)":[30],"hypergraphs.":[31],"For":[32,87],"standard":[33],"DPO":[34],"without":[36,80],"interfaces,":[37],"terminating":[40],"systems":[42],"is,":[43],"in":[44,117,127],"general,":[45],"undecidable.":[46],"Nevertheless,":[47],"show":[49],"here":[50],"that":[51],"DPOI,":[54],"and":[55,79],"hence":[56],"is":[60],"decidable.":[61],"We":[62],"apply":[63],"result":[65],"give":[67],"effective":[68],"procedures":[69],"deciding":[71],"local":[72],"symmetric":[75,130],"monoidal":[76,131],"theories":[77],"Frobenius":[81],"structure":[82],"by":[83],"critical":[84,99,108],"pair":[85,109],"analysis.":[86],"latter,":[89],"introduce":[91],"new":[93],"notion":[94],"path":[96],"joinability":[97],"pairs,":[100],"enables":[102],"finitely":[103],"many":[104],"joins":[105],"a":[107,128],"lifted":[112],"an":[114],"arbitrary":[115],"context":[116],"spite":[118],"strong":[121],"non-local":[122],"constraints":[123],"placed":[124],"generic":[129],"theory.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}