{"id":"https://openalex.org/W4406321768","doi":"https://doi.org/10.1109/tmc.2025.3528491","title":"CRT and PUF-Based Self/Mutual-Healing Key Distribution Protocol With Collusion Resistance and Revocation Capability","display_name":"CRT and PUF-Based Self/Mutual-Healing Key Distribution Protocol With Collusion Resistance and Revocation Capability","publication_year":2025,"publication_date":"2025-01-13","ids":{"openalex":"https://openalex.org/W4406321768","doi":"https://doi.org/10.1109/tmc.2025.3528491"},"language":"en","primary_location":{"id":"doi:10.1109/tmc.2025.3528491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2025.3528491","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Mobile Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026486620","display_name":"Wajdy Othman","orcid":"https://orcid.org/0000-0002-0274-7947"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wajdy Othman","raw_affiliation_strings":["Haihe Lab of ITAI, and Jointly with the College of Cyber Science, Nankai University, Tianjin, China","Haihe Lab of ITAI, and jointly with the College of Cyber Science, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-0274-7947","affiliations":[{"raw_affiliation_string":"Haihe Lab of ITAI, and Jointly with the College of Cyber Science, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Haihe Lab of ITAI, and jointly with the College of Cyber Science, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016260066","display_name":"Hong Zhong","orcid":"https://orcid.org/0000-0002-0392-9734"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhong Hong","raw_affiliation_strings":["School of Computer Science and Technology, Anhui University, Anhui, China","School of Computer Science and Technology, Anhui University, China"],"raw_orcid":"https://orcid.org/0000-0002-0392-9734","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Anhui University, Anhui, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Computer Science and Technology, Anhui University, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056941344","display_name":"Fuyou Miao","orcid":"https://orcid.org/0000-0001-8682-6003"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miao Fuyou","raw_affiliation_strings":["School of Computer Science and Technology, and School of Information Science and Technology, Respectively, University of Science and Technology of China, Hefei, China","School of Computer Science and Technology, and School of Information Science and Technology, respectively, University of Science and Technology of China, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0001-8682-6003","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, and School of Information Science and Technology, Respectively, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Computer Science and Technology, and School of Information Science and Technology, respectively, University of Science and Technology of China, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100688242","display_name":"Kaiping Xue","orcid":"https://orcid.org/0000-0003-2095-7523"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaiping Xue","raw_affiliation_strings":["School of Computer Science and Technology, and School of Information Science and Technology, Respectively, University of Science and Technology of China, Hefei, China","Haihe Lab of ITAI, and jointly with the College of Cyber Science, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-2095-7523","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, and School of Information Science and Technology, Respectively, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Haihe Lab of ITAI, and jointly with the College of Cyber Science, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089032960","display_name":"Ammar Hawbani","orcid":"https://orcid.org/0000-0002-1069-3993"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ammar Hawbani","raw_affiliation_strings":["School of Computer Science, Shenyang Aerospace University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0002-1069-3993","affiliations":[{"raw_affiliation_string":"School of Computer Science, Shenyang Aerospace University, Shenyang, China","institution_ids":["https://openalex.org/I125904092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100786176","display_name":"Ruhul Amin","orcid":"https://orcid.org/0000-0002-1145-3385"},"institutions":[{"id":"https://openalex.org/I4210130463","display_name":"Chhattisgarh Dental College & Research Institute","ror":"https://ror.org/02v72sd52","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210130463"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ruhul Amin","raw_affiliation_strings":["Department of Computer Science and Engineering, IIIT-NR, Chhattisgarh, India","Department of Computer Science & Engineering, IIIT-NR, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, IIIT-NR, Chhattisgarh, India","institution_ids":["https://openalex.org/I4210130463"]},{"raw_affiliation_string":"Department of Computer Science & Engineering, IIIT-NR, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061568038","display_name":"Liang Zhao","orcid":"https://orcid.org/0000-0001-5829-6850"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Zhao","raw_affiliation_strings":["School of Computer Science, Shenyang Aerospace University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0001-5829-6850","affiliations":[{"raw_affiliation_string":"School of Computer Science, Shenyang Aerospace University, Shenyang, China","institution_ids":["https://openalex.org/I125904092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100455376","display_name":"Tao Li","orcid":"https://orcid.org/0000-0003-1697-8022"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Li","raw_affiliation_strings":["Haihe Lab of ITAI and the College of Cyber Science, Nankai University, Tianjin, China","Haihe Lab of ITAI and the College of Cyber Science, Nankai University, China"],"raw_orcid":"https://orcid.org/0000-0003-1697-8022","affiliations":[{"raw_affiliation_string":"Haihe Lab of ITAI and the College of Cyber Science, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Haihe Lab of ITAI and the College of Cyber Science, Nankai University, China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4604,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78946042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"24","issue":"6","first_page":"4607","last_page":"4622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12122","display_name":"Physical Unclonable Functions (PUFs) and Hardware Security","score":0.9652000069618225,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11932","display_name":"Wireless Body Area Networks","score":0.90829998254776,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7567685842514038},{"id":"https://openalex.org/keywords/revocation","display_name":"Revocation","score":0.7113564610481262},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5765030980110168},{"id":"https://openalex.org/keywords/collusion","display_name":"Collusion","score":0.5663235187530518},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.5254035592079163},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5199557542800903},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.48602086305618286},{"id":"https://openalex.org/keywords/self-healing","display_name":"Self-healing","score":0.4417816698551178},{"id":"https://openalex.org/keywords/key-distribution","display_name":"Key distribution","score":0.42612290382385254},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.33267679810523987},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3236597776412964},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.1273917853832245},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.07193171977996826}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7567685842514038},{"id":"https://openalex.org/C2775892892","wikidata":"https://www.wikidata.org/wiki/Q6509517","display_name":"Revocation","level":3,"score":0.7113564610481262},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5765030980110168},{"id":"https://openalex.org/C2781198186","wikidata":"https://www.wikidata.org/wiki/Q701521","display_name":"Collusion","level":2,"score":0.5663235187530518},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.5254035592079163},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5199557542800903},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.48602086305618286},{"id":"https://openalex.org/C2778210392","wikidata":"https://www.wikidata.org/wiki/Q1412709","display_name":"Self-healing","level":3,"score":0.4417816698551178},{"id":"https://openalex.org/C160333310","wikidata":"https://www.wikidata.org/wiki/Q6398153","display_name":"Key distribution","level":4,"score":0.42612290382385254},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.33267679810523987},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3236597776412964},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.1273917853832245},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.07193171977996826},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C40700","wikidata":"https://www.wikidata.org/wiki/Q1411783","display_name":"Industrial organization","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tmc.2025.3528491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmc.2025.3528491","pdf_url":null,"source":{"id":"https://openalex.org/S69141925","display_name":"IEEE Transactions on Mobile Computing","issn_l":"1536-1233","issn":["1536-1233","1558-0660","2161-9875"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Mobile Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G4342606088","display_name":null,"funder_award_id":"23JCQNJC00010","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G4814988046","display_name":null,"funder_award_id":"23JCZDJC01010","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G6024644208","display_name":null,"funder_award_id":"62272248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323993","display_name":"Natural Science Foundation of Tianjin City","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W200267483","https://openalex.org/W1840475895","https://openalex.org/W1843773899","https://openalex.org/W1930795791","https://openalex.org/W1987466353","https://openalex.org/W1998330938","https://openalex.org/W2029693536","https://openalex.org/W2030131700","https://openalex.org/W2078701696","https://openalex.org/W2094970986","https://openalex.org/W2137396645","https://openalex.org/W2162632817","https://openalex.org/W2171574715","https://openalex.org/W2242585075","https://openalex.org/W2303323199","https://openalex.org/W2344298315","https://openalex.org/W2516714563","https://openalex.org/W2542171236","https://openalex.org/W2746710947","https://openalex.org/W2765294328","https://openalex.org/W2783290268","https://openalex.org/W2803733964","https://openalex.org/W2884852850","https://openalex.org/W2914062206","https://openalex.org/W2961729905","https://openalex.org/W2963154589","https://openalex.org/W2963331030","https://openalex.org/W2970174148","https://openalex.org/W2976695157","https://openalex.org/W3094254490","https://openalex.org/W3177296527","https://openalex.org/W3179046031","https://openalex.org/W3208514333","https://openalex.org/W4210268633","https://openalex.org/W4220982221","https://openalex.org/W4285274066","https://openalex.org/W4287887716","https://openalex.org/W6868159058"],"related_works":["https://openalex.org/W2350695503","https://openalex.org/W2245180907","https://openalex.org/W2906840093","https://openalex.org/W2129711340","https://openalex.org/W783558444","https://openalex.org/W2117667232","https://openalex.org/W2147172043","https://openalex.org/W2349295797","https://openalex.org/W2162703844","https://openalex.org/W2741205042"],"abstract_inverted_index":{"Self-healing":[0],"group":[1,10,60,67,96,146,182,209],"key":[2,81],"distribution":[3],"(SGKD)":[4],"protocols":[5,32],"guarantee":[6],"the":[7,24,45,51,57,79,92,108,159,192,218,245],"security":[8,174,233,255],"of":[9,47,53,59,65,94,181,199,262],"communications":[11],"by":[12,44,127],"allowing":[13],"authorized":[14],"users":[15],"to":[16,141,178,269],"independently":[17],"recover":[18],"missed":[19],"previous":[20],"session":[21,80],"keys":[22],"from":[23,228],"current":[25],"broadcast":[26],"without":[27,213],"retransmission.":[28],"However,":[29],"existing":[30,270],"SGKD":[31,105,120,271],"have":[33],"flaws:":[34],"(1)":[35],"collusion":[36],"resistance":[37,177],"and":[38,72,113,151,161,232,241,257,265],"revocable":[39,200],"nodes":[40,183],"are":[41],"both":[42],"upper-bounded":[43],"degree":[46],"polynomials":[48],"used,":[49],"(2)":[50],"disclosure":[52],"personal":[54,187],"secrets":[55,157,188],"enables":[56],"recovery":[58,93],"key,":[61],"(3)":[62],"temporary":[63],"revocation":[64],"a":[66,74,87,123,132,143,168,203,221],"member":[68],"is":[69,138],"not":[70],"possible,":[71],"(4)":[73],"revoked":[75,204],"node":[76,89,205],"may":[77,90],"obtain":[78],"when":[82],"initiating":[83],"mutual":[84],"healing,":[85],"moreover,":[86],"malicious":[88],"cause":[91],"false":[95],"keys.":[97],"To":[98],"address":[99],"these":[100],"limitations,":[101],"we":[102,153],"propose":[103],"an":[104,196],"protocol":[106,121,171,194,219,252],"using":[107,131,244],"Chinese":[109],"remainder":[110],"theorem":[111],"(CRT)":[112],"Physical":[114],"Unclonable":[115],"Function":[116],"(PUF).":[117],"Our":[118,230],"proposed":[119,193,251],"generates":[122],"PUF-based":[124],"dynamic":[125,156],"secret":[126,137],"stimulating":[128],"nodes\u2019":[129,186],"PUF":[130,150],"polynomial-based":[133],"encrypted":[134,145],"challenge.":[135],"This":[136],"then":[139],"employed":[140],"retrieve":[142],"CRT-based":[144],"key.":[147],"By":[148],"combining":[149],"CRT,":[152],"can":[154,206],"generate":[155],"on":[158],"fly":[160],"reduce":[162],"computation":[163],"time":[164],"significantly.":[165],"Utilizing":[166],"such":[167],"technique,":[169],"our":[170,250],"achieves":[172,253],"superior":[173],"goals,":[175],"including":[176],"any":[179],"coalition":[180],"even":[184],"if":[185],"were":[189],"disclosed.":[190],"Furthermore,":[191],"provides":[195,220],"unlimited":[197],"number":[198],"nodes.":[201],"Additionally,":[202],"rejoin":[207],"its":[208],"in":[210,260],"later":[211],"sessions":[212],"affecting":[214],"backward":[215,222],"secrecy.":[216],"Moreover,":[217],"secrecy":[223],"guaranteed":[224],"mutual-healing":[225],"feature":[226],"free":[227],"desynchronization.":[229],"performance":[231],"analyses":[234],"(i.e.,":[235],"theorem-based":[236],"formal":[237,242],"analysis,":[238],"NS3-based":[239],"experiment,":[240],"verification":[243],"AVIPSA":[246],"tool)":[247],"show":[248],"that":[249],"stronger":[254],"goals":[256],"better":[258],"efficiency":[259],"terms":[261],"computation,":[263],"communication,":[264],"storage":[266],"costs":[267],"compared":[268],"schemes.":[272]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}