{"id":"https://openalex.org/W4383981978","doi":"https://doi.org/10.1103/physrevresearch.5.033021","title":"Optimality conditions for spatial search with multiple marked vertices","display_name":"Optimality conditions for spatial search with multiple marked vertices","publication_year":2023,"publication_date":"2023-07-11","ids":{"openalex":"https://openalex.org/W4383981978","doi":"https://doi.org/10.1103/physrevresearch.5.033021"},"language":"en","primary_location":{"id":"doi:10.1103/physrevresearch.5.033021","doi":"https://doi.org/10.1103/physrevresearch.5.033021","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevresearch.5.033021","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevResearch.5.033021","source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevResearch.5.033021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055553306","display_name":"Mathieu Roget","orcid":"https://orcid.org/0000-0003-3890-1552","observed_orcids":["https://orcid.org/0000-0003-3890-1552"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mathieu Roget","raw_affiliation_strings":["Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, 13397 Marseille Cedex 20, France"],"raw_orcid":"https://orcid.org/0000-0003-3890-1552","affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, 13397 Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079506428","display_name":"Hachem Kadri","orcid":"https://orcid.org/0000-0002-8060-5354","observed_orcids":["https://orcid.org/0000-0002-8060-5354"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hachem Kadri","raw_affiliation_strings":["Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, 13397 Marseille Cedex 20, France"],"raw_orcid":"https://orcid.org/0000-0002-8060-5354","affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, 13397 Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079738107","display_name":"Giuseppe Di Molfetta","orcid":"https://orcid.org/0000-0002-1261-7476","observed_orcids":["https://orcid.org/0000-0002-1261-7476"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Giuseppe Di Molfetta","raw_affiliation_strings":["Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, 13397 Marseille Cedex 20, France"],"raw_orcid":"https://orcid.org/0000-0002-1261-7476","affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, LIS, 13397 Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2625,"currency":"USD","value_usd":2625},"apc_paid":{"value":2497,"currency":"EUR","value_usd":2693},"fwci":0.354,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.58191288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"5","issue":"3","first_page":"033021","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9984999895095825,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9984999895095825,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.00019999999494757503,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spatial-search","display_name":"spatial search","score":0.7580000162124634},{"id":"https://openalex.org/keywords/discrete-time-quantum-walks","display_name":"discrete-time quantum walks","score":0.8700000047683716},{"id":"https://openalex.org/keywords/optimality-conditions","display_name":"optimality conditions","score":0.7620000243186951},{"id":"https://openalex.org/keywords/search-algorithms","display_name":"search algorithms","score":0.5640000104904175},{"id":"https://openalex.org/keywords/quantum-advantage","display_name":"quantum advantage","score":0.6539999842643738},{"id":"https://openalex.org/keywords/grid-graphs","display_name":"grid graphs","score":0.5410000085830688}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6401331424713135},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6377500295639038},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5771607160568237},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5191794633865356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5009076595306396},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4679265022277832},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.467489629983902},{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.433066189289093},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3942476511001587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3857630491256714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3551015257835388},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3154861330986023},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.130266934633255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1270470917224884},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12140470743179321},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/physrevresearch.5.033021","doi":"https://doi.org/10.1103/physrevresearch.5.033021","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevresearch.5.033021","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevResearch.5.033021","source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2201.12937","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.12937","pdf_url":"https://arxiv.org/pdf/2201.12937","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04523921v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04523921","pdf_url":"https://hal.science/hal-04523921v1/file/PhysRevResearch.5.033021.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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":"Physical Review Research, 2023, 5 (3), pp.033021. ⟨10.1103/PhysRevResearch.5.033021⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:591002eb962c42f69da3930ea0bbc85e","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/591002eb962c42f69da3930ea0bbc85e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review Research, Vol 5, Iss 3, p 033021 (2023)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2201.12937","doi":"https://doi.org/10.48550/arxiv.2201.12937","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2201.12937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1103/physrevresearch.5.033021","doi":"https://doi.org/10.1103/physrevresearch.5.033021","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevresearch.5.033021","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevResearch.5.033021","source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1190173965","display_name":null,"funder_award_id":"France2030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2191957979","display_name":"Etude de la pile quantique : Algorithmes, mod\u00e8les de calcul et simulation pour l\u2019informatique quantique","funder_award_id":"ANR-22-PETQ-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3648844166","display_name":"Distributed Quantum Computing : Algorithms and Implementations","funder_award_id":"ANR-22-CE47-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5583432497","display_name":null,"funder_award_id":"AMX-21-RID-011","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7191467736","display_name":null,"funder_award_id":"AMX-21-RID-011","funder_id":"https://openalex.org/F4320309911","funder_display_name":"Aix-Marseille Universit\u00e9"}],"funders":[{"id":"https://openalex.org/F4320309911","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4383981978.pdf","grobid_xml":"https://content.openalex.org/works/W4383981978.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1525683323","https://openalex.org/W1571674278","https://openalex.org/W1987979370","https://openalex.org/W2006290558","https://openalex.org/W2028616458","https://openalex.org/W2040927484","https://openalex.org/W2050334794","https://openalex.org/W2174510006","https://openalex.org/W2222710443","https://openalex.org/W2272513021","https://openalex.org/W2559394418","https://openalex.org/W2971290587","https://openalex.org/W3004545975","https://openalex.org/W3006190788","https://openalex.org/W3037443854","https://openalex.org/W3038067977","https://openalex.org/W3136388033","https://openalex.org/W4241387086","https://openalex.org/W4245266864"],"related_works":["https://openalex.org/W4404766579","https://openalex.org/W3151301391","https://openalex.org/W2272513021","https://openalex.org/W4319082423","https://openalex.org/W3019690156","https://openalex.org/W2400063867","https://openalex.org/W2809687704","https://openalex.org/W2796243516","https://openalex.org/W1607736970","https://openalex.org/W3201620656"],"abstract_inverted_index":{"We":[0],"contribute":[1],"to":[2,53,163],"fulfill":[3],"the":[4,8,11,34,41,55,91,94,100,104,109,158,164,176,182],"long-lasting":[5],"gap":[6],"in":[7,64],"understanding":[9],"of":[10,23,36,58,93,103,178,185],"spatial":[12,101,144],"search":[13,45],"with":[14,146,161],"multiple":[15,147],"marked":[16,62,105,148],"vertices.":[17],"The":[18],"theoretical":[19],"framework":[20],"is":[21,112,120,167],"that":[22,32,139,157],"discrete-time":[24],"quantum":[25,110],"walks":[26],"(QW),":[27],"i.e.,":[28],"local":[29],"unitary":[30],"matrices":[31],"drive":[33],"evolution":[35],"a":[37,65,75,130],"single":[38],"particle":[39],"on":[40,175],"lattice.":[42],"QW":[43],"based":[44],"algorithms":[46],"are":[47,150],"well":[48],"understood":[49],"when":[50],"they":[51,73],"have":[52],"tackle":[54],"fundamental":[56],"problem":[57],"finding":[59],"only":[60],"one":[61,89],"element":[63],"$d\\text{\\ensuremath{-}}\\text{dimensional}$":[66],"grid":[67,186],"and":[68,107,152,171],"it":[69,172],"has":[70],"been":[71],"proven":[72],"provide":[74,124,136],"quadratic":[76],"advantage":[77,111,160],"over":[78,181],"classical":[79,165],"searching":[80,86],"protocols.":[81],"However,":[82],"once":[83],"we":[84,123,135,154],"consider":[85],"more":[87],"than":[88],"element,":[90],"behavior":[92],"algorithm":[95],"may":[96],"be":[97],"affected":[98],"by":[99],"configuration":[102],"elements":[106,149,180],"even":[108],"no":[113],"longer":[114],"guaranteed.":[115],"Here":[116],"our":[117],"main":[118],"contribution":[119],"threefold:":[121],"(i)":[122],"sufficient":[125],"conditions":[126],"for":[127,129],"optimality":[128],"multi-items":[131],"QWSearch":[132],"algorithm;":[133],"(ii)":[134],"analytical":[137],"evidence":[138],"almost,":[140],"but":[141],"not":[142,168],"all":[143],"configurations":[145],"optimal;":[151],"(iii)":[153],"numerically":[155],"show":[156],"computational":[159],"respect":[162],"counterpart":[166],"always":[169],"certain":[170],"does":[173],"depend":[174],"proportion":[177],"searched":[179],"total":[183],"number":[184],"points.":[187]},"counts_by_year":[{"year":2024,"cited_by_count":4}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2023-07-12T00:00:00"}