{"id":"https://openalex.org/W4406222168","doi":"https://doi.org/10.1145/3704868","title":"Verifying Quantum Circuits with Level-Synchronized Tree Automata","display_name":"Verifying Quantum Circuits with Level-Synchronized Tree Automata","publication_year":2025,"publication_date":"2025-01-07","ids":{"openalex":"https://openalex.org/W4406222168","doi":"https://doi.org/10.1145/3704868"},"language":"en","primary_location":{"id":"doi:10.1145/3704868","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3704868","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1145/3704868","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002478680","display_name":"Parosh Aziz Abdulla","orcid":"https://orcid.org/0000-0001-6832-6611"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Parosh Aziz Abdulla","raw_affiliation_strings":["Uppsala University, Uppsala, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-6832-6611","affiliations":[{"raw_affiliation_string":"Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106469780","display_name":"Y. C. Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yo-Ga Chen","raw_affiliation_strings":["Academia Sinica, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0009-0003-0498-7287","affiliations":[{"raw_affiliation_string":"Academia Sinica, Taipei, Taiwan","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048614307","display_name":"Yu\u2010Fang Chen","orcid":"https://orcid.org/0000-0003-2872-0336"},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yu-Fang Chen","raw_affiliation_strings":["Academia Sinica, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-2872-0336","affiliations":[{"raw_affiliation_string":"Academia Sinica, Taipei, Taiwan","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059358773","display_name":"Luk\u00e1\u0161 Hol\u00edk","orcid":"https://orcid.org/0000-0001-6957-1651"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]},{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["CZ","DK"],"is_corresponding":false,"raw_author_name":"Luk\u00e1\u0161 Hol\u00edk","raw_affiliation_strings":["Aalborg University, Aalborg, Denmark","Brno University of Technology, Brno, Czechia"],"raw_orcid":"https://orcid.org/0000-0001-6957-1651","affiliations":[{"raw_affiliation_string":"Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Brno University of Technology, Brno, Czechia","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063557188","display_name":"Ond\u0159ej Leng\u00e1l","orcid":"https://orcid.org/0000-0002-3038-5875"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ond\u0159ej Leng\u00e1l","raw_affiliation_strings":["Brno University of Technology, Brno, Czechia"],"raw_orcid":"https://orcid.org/0000-0002-3038-5875","affiliations":[{"raw_affiliation_string":"Brno University of Technology, Brno, Czechia","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021704952","display_name":"Jyun-Ao Lin","orcid":"https://orcid.org/0000-0001-8560-2147"},"institutions":[{"id":"https://openalex.org/I118292597","display_name":"National Taipei University of Technology","ror":"https://ror.org/00cn92c09","country_code":"TW","type":"education","lineage":["https://openalex.org/I118292597"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jyun-Ao Lin","raw_affiliation_strings":["National Taipei University of Technology, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0000-0001-8560-2147","affiliations":[{"raw_affiliation_string":"National Taipei University of Technology, Taipei, Taiwan","institution_ids":["https://openalex.org/I118292597"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115826708","display_name":"Fang-Yi Lo","orcid":null},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Fang-Yi Lo","raw_affiliation_strings":["Academia Sinica, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0009-0000-4495-6539","affiliations":[{"raw_affiliation_string":"Academia Sinica, Taipei, Taiwan","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102955666","display_name":"Wei-Lun Tsai","orcid":"https://orcid.org/0009-0003-5832-0867"},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wei-Lun Tsai","raw_affiliation_strings":["Academia Sinica, Taipei, Taiwan"],"raw_orcid":"https://orcid.org/0009-0003-5832-0867","affiliations":[{"raw_affiliation_string":"Academia Sinica, Taipei, Taiwan","institution_ids":["https://openalex.org/I84653119"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.4089,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.98500392,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"9","issue":"POPL","first_page":"923","last_page":"953"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9976000189781189,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/tree","display_name":"Tree (set theory)","score":0.5406266450881958},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.514612078666687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5083982348442078},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4742509424686432},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41405385732650757},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3606939911842346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34063082933425903},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13426882028579712},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10454931855201721},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09608086943626404}],"concepts":[{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5406266450881958},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.514612078666687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5083982348442078},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4742509424686432},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41405385732650757},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3606939911842346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34063082933425903},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13426882028579712},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10454931855201721},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09608086943626404}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3704868","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3704868","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:uu-555784","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-555784","pdf_url":"https://uu.diva-portal.org/smash/get/diva2:1958292/FULLTEXT01","source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I86987016","host_organization_name":"KTH Royal Institute of Technology","host_organization_lineage":["https://openalex.org/I86987016"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.5281/zenodo.13938481","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.13938481","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Software"},{"id":"doi:10.5281/zenodo.13940422","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.13940422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Software"},{"id":"doi:10.5281/zenodo.13954509","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.13954509","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Software"},{"id":"doi:10.5281/zenodo.13957472","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.13957472","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Software"}],"best_oa_location":{"id":"doi:10.1145/3704868","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3704868","pdf_url":null,"source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7300000190734863,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320321041","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W160847359","https://openalex.org/W1508641834","https://openalex.org/W1762311305","https://openalex.org/W1927487601","https://openalex.org/W1975745970","https://openalex.org/W1975895350","https://openalex.org/W1993688167","https://openalex.org/W1997436239","https://openalex.org/W2036604884","https://openalex.org/W2044357043","https://openalex.org/W2072969317","https://openalex.org/W2084652510","https://openalex.org/W2094342038","https://openalex.org/W2101512909","https://openalex.org/W2118707006","https://openalex.org/W2121087903","https://openalex.org/W2121695129","https://openalex.org/W2130427425","https://openalex.org/W2130753923","https://openalex.org/W2137722266","https://openalex.org/W2154434103","https://openalex.org/W2157601714","https://openalex.org/W2160347025","https://openalex.org/W2559394418","https://openalex.org/W2736592352","https://openalex.org/W2803889673","https://openalex.org/W2889126882","https://openalex.org/W2912352268","https://openalex.org/W2946053196","https://openalex.org/W2955434816","https://openalex.org/W2957722170","https://openalex.org/W2963481762","https://openalex.org/W2982169647","https://openalex.org/W3009488992","https://openalex.org/W3016880330","https://openalex.org/W3028862010","https://openalex.org/W3083463047","https://openalex.org/W3102885034","https://openalex.org/W3105603580","https://openalex.org/W3136504866","https://openalex.org/W3173827709","https://openalex.org/W3208575776","https://openalex.org/W3212096699","https://openalex.org/W4206043518","https://openalex.org/W4281670955","https://openalex.org/W4293261702","https://openalex.org/W4293484738","https://openalex.org/W4312933521","https://openalex.org/W4323026405","https://openalex.org/W4367665112","https://openalex.org/W4379536095","https://openalex.org/W4384471393","https://openalex.org/W4384471464","https://openalex.org/W4386363537","https://openalex.org/W4387755447","https://openalex.org/W4396944746","https://openalex.org/W6931031300","https://openalex.org/W6968113972"],"related_works":["https://openalex.org/W4249530125","https://openalex.org/W1944601446","https://openalex.org/W2502533382","https://openalex.org/W87529998","https://openalex.org/W4247547172","https://openalex.org/W1903000972","https://openalex.org/W2401004563","https://openalex.org/W2157508806","https://openalex.org/W2610542549","https://openalex.org/W2124122503"],"abstract_inverted_index":{"We":[0,82],"present":[1],"a":[2,13,37,127,166],"new":[3],"method":[4,164],"for":[5,93,130,146],"the":[6,55,111,136,143,156,201,204],"verification":[7,91,132],"of":[8,17,19,39,49,101,115,138,140,149,158,197,203],"quantum":[9,20,94,175],"circuits":[10,95,141],"based":[11,96],"on":[12,97,181],"novel":[14],"symbolic":[15,90,174],"representation":[16],"sets":[18],"states":[21],"using":[22],"level-synchronized":[23],"tree":[24,30,57,118],"automata":[25,31],"(LSTAs).":[26],"LSTAs":[27,59,125],"extend":[28],"classical":[29],"by":[32],"labeling":[33],"each":[34],"transition":[35],"with":[36,142,172,194],"set":[38],"choices":[40],",":[41,133],"which":[42,152],"are":[43,126],"then":[44],"used":[45],"to":[46,54],"synchronize":[47],"subtrees":[48],"an":[50,61,85,116],"accepted":[51],"tree.":[52],"Compared":[53],"traditional":[56],"automata,":[58],"have":[60,83],"incomparable":[62],"expressive":[63],"power":[64],"while":[65],"maintaining":[66],"important":[67],"properties,":[68],"such":[69],"as":[70,165],"closure":[71],"under":[72],"union":[73],"and":[74,76,80,87,169,178],"intersection,":[75],"decidable":[77],"language":[78],"emptiness":[79],"inclusion.":[81],"developed":[84],"efficient":[86],"fully":[88],"automated":[89,160],"algorithm":[92],"LSTAs.":[98],"The":[99,185],"complexity":[100,114],"supported":[102],"gate":[103],"operations":[104],"is":[105],"at":[106],"most":[107],"quadratic,":[108],"dramatically":[109],"improving":[110],"exponential":[112],"worst-case":[113],"earlier":[117],"automata-based":[119],"approach.":[120],"Furthermore,":[121],"we":[122],"show":[123,187],"that":[124,188],"promising":[128],"model":[129],"parameterized":[131],"i.e.,":[134],"verifying":[135],"correctness":[137],"families":[139],"same":[144],"structure":[145],"any":[147],"number":[148],"qubits":[150],"involved,":[151],"principally":[153],"lies":[154],"beyond":[155],"capabilities":[157],"previous":[159],"approaches.We":[161],"implemented":[162],"this":[163],"C++":[167],"tool":[168],"compared":[170],"it":[171],"three":[173],"circuit":[176],"verifiers":[177],"two":[179],"simulators":[180],"several":[182],"benchmark":[183],"examples.":[184],"results":[186],"our":[189],"approach":[190],"can":[191],"solve":[192],"problems":[193],"sizes":[195],"orders":[196],"magnitude":[198],"larger":[199],"than":[200],"state":[202],"art.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":5}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}
