{"id":"https://openalex.org/W2079734527","doi":"https://doi.org/10.1090/s0025-5718-04-01699-0","title":"The arithmetic of Jacobian groups of superelliptic cubics","display_name":"The arithmetic of Jacobian groups of superelliptic cubics","publication_year":2004,"publication_date":"2004-07-20","ids":{"openalex":"https://openalex.org/W2079734527","doi":"https://doi.org/10.1090/s0025-5718-04-01699-0","mag":"2079734527"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-04-01699-0","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-04-01699-0","pdf_url":"https://www.ams.org/mcom/2005-74-249/S0025-5718-04-01699-0/S0025-5718-04-01699-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2005-74-249/S0025-5718-04-01699-0/S0025-5718-04-01699-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057245031","display_name":"Abdolali Basiri","orcid":"https://orcid.org/0000-0003-4454-4379"},"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/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"education","lineage":["https://openalex.org/I192805215"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR","IR"],"is_corresponding":true,"raw_author_name":"Abdolali Basiri","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, Damghan University of Sciences, Damghan, Iran","Laboratoire d\u00e2\u0080\u0099Informatique de Paris 6 (CNRS/UMR 7606), 4 place Jussieu, 75252 Paris Cedex 05, France","Laboratoire d\u2019Informatique de Paris 6 (CNRS/UMR 7606), 4 place Jussieu, 75252 Paris Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Damghan University of Sciences, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]},{"raw_affiliation_string":"Laboratoire d\u00e2\u0080\u0099Informatique de Paris 6 (CNRS/UMR 7606), 4 place Jussieu, 75252 Paris Cedex 05, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590","https://openalex.org/I4210159731"]},{"raw_affiliation_string":"Laboratoire d\u2019Informatique de Paris 6 (CNRS/UMR 7606), 4 place Jussieu, 75252 Paris Cedex 05, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590","https://openalex.org/I4210159731"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007318055","display_name":"Andreas Enge","orcid":null},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andreas Enge","raw_affiliation_strings":["INRIA Futurs and Laboratoire d\u00e2\u0080\u0099Informatique (CNRS/FRE 2653), \u00c3\u0089cole polytechnique, 91128 Palaiseau Cedex, France","INRIA Futurs and Laboratoire d\u2019Informatique (CNRS/FRE 2653), \u00c9cole polytechnique, 91128 Palaiseau Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Futurs and Laboratoire d\u00e2\u0080\u0099Informatique (CNRS/FRE 2653), \u00c3\u0089cole polytechnique, 91128 Palaiseau Cedex, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"INRIA Futurs and Laboratoire d\u2019Informatique (CNRS/FRE 2653), \u00c9cole polytechnique, 91128 Palaiseau Cedex, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107405594","display_name":"Jean\u2010Charles Faug\u00e8re","orcid":null},"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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Charles Faug\u00e8re","raw_affiliation_strings":["Laboratoire d'Informatique de Paris 6 - CNRS UMR 7606, 4 place Jussieu, 75252 Paris cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique de Paris 6 - CNRS UMR 7606, 4 place Jussieu, 75252 Paris cedex 05, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1294671590","https://openalex.org/I4210159731"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060924648","display_name":"Nicolas G\u00fcrel","orcid":null},"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas G\u00fcrel","raw_affiliation_strings":["INRIA Futurs and Laboratoire d\u2019Informatique (CNRS/FRE 2653), \u00c9cole polytechnique, 91128 Palaiseau Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Futurs and Laboratoire d\u2019Informatique (CNRS/FRE 2653), \u00c9cole polytechnique, 91128 Palaiseau Cedex, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057245031"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I192805215","https://openalex.org/I39804081","https://openalex.org/I4210159731"],"apc_list":null,"apc_paid":null,"fwci":4.4942,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.9466056,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"74","issue":"249","first_page":"389","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8777443170547485},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.5795646905899048},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.545301079750061},{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.5330373644828796},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5278021097183228},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.4989457130432129},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4900411367416382},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4893006980419159},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.47633272409439087},{"id":"https://openalex.org/keywords/hyperelliptic-curve-cryptography","display_name":"Hyperelliptic curve cryptography","score":0.44943323731422424},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41307780146598816},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4109543561935425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36954790353775024},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34964293241500854},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3198045492172241},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2833741307258606},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.20999842882156372},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17996829748153687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1099233329296112},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08016243577003479},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06988239288330078}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8777443170547485},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.5795646905899048},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.545301079750061},{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.5330373644828796},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5278021097183228},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.4989457130432129},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4900411367416382},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4893006980419159},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.47633272409439087},{"id":"https://openalex.org/C166780011","wikidata":"https://www.wikidata.org/wiki/Q3005926","display_name":"Hyperelliptic curve cryptography","level":5,"score":0.44943323731422424},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41307780146598816},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4109543561935425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36954790353775024},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34964293241500854},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3198045492172241},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2833741307258606},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20999842882156372},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17996829748153687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1099233329296112},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08016243577003479},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06988239288330078},{"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-04-01699-0","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-04-01699-0","pdf_url":"https://www.ams.org/mcom/2005-74-249/S0025-5718-04-01699-0/S0025-5718-04-01699-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:inria-00071967v2","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00071967","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Mathematics of Computation, 2005, 74 (249), pp.389-410","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-04-01699-0","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-04-01699-0","pdf_url":"https://www.ams.org/mcom/2005-74-249/S0025-5718-04-01699-0/S0025-5718-04-01699-0.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2079734527.pdf","grobid_xml":"https://content.openalex.org/works/W2079734527.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W92882380","https://openalex.org/W656708819","https://openalex.org/W1485481031","https://openalex.org/W1491854237","https://openalex.org/W1502898870","https://openalex.org/W1527509877","https://openalex.org/W1560603711","https://openalex.org/W1568334827","https://openalex.org/W1586132011","https://openalex.org/W1888167329","https://openalex.org/W1976203617","https://openalex.org/W1980117595","https://openalex.org/W1989603733","https://openalex.org/W1993844643","https://openalex.org/W2001149042","https://openalex.org/W2013383029","https://openalex.org/W2052917298","https://openalex.org/W2059522106","https://openalex.org/W2061370769","https://openalex.org/W2089240617","https://openalex.org/W2160577269","https://openalex.org/W2483988241","https://openalex.org/W2912690715","https://openalex.org/W4237505298"],"related_works":["https://openalex.org/W2066391825","https://openalex.org/W2349978047","https://openalex.org/W2390281381","https://openalex.org/W3144994042","https://openalex.org/W2081493886","https://openalex.org/W4237505298","https://openalex.org/W3029460748","https://openalex.org/W1510953762","https://openalex.org/W2995607861","https://openalex.org/W1870827190"],"abstract_inverted_index":{"We":[0,43],"present":[1],"two":[2],"algorithms":[3],"for":[4,24,48,81,86],"the":[5,58,61,78,91,102],"arithmetic":[6,41],"of":[7,34,38,51,60,75,101],"cubic":[8],"curves":[9,50],"with":[10,30],"a":[11,31,39],"totally":[12],"ramified":[13],"prime":[14],"at":[15],"infinity.":[16],"The":[17,63],"first":[18],"algorithm,":[19],"inspired":[20],"by":[21],"Cantor\u00e2\u0080\u0099s":[22],"reduction":[23,97],"hyperelliptic":[25],"curves,":[26,76],"is":[27],"easily":[28],"implemented":[29],"few":[32],"lines":[33],"code,":[35],"making":[36],"use":[37],"polynomial":[40],"package.":[42],"prove":[44],"explicit":[45,96],"reducedness":[46],"criteria":[47],"superelliptic":[49],"genus":[52],"3":[53],"and":[54,70],"4,":[55],"which":[56],"show":[57],"correctness":[59],"algorithm.":[62],"second":[64],"approach,":[65],"quite":[66],"general":[67],"in":[68,99],"nature":[69],"applicable":[71],"to":[72],"further":[73],"classes":[74],"uses":[77],"FGLM":[79],"algorithm":[80],"switching":[82],"between":[83],"Gr\u00c3\u00b6bner":[84],"bases":[85],"different":[87],"orderings.":[88],"Carrying":[89],"out":[90],"computations":[92],"symbolically,":[93],"we":[94],"obtain":[95],"formulae":[98],"terms":[100],"input":[103],"data.":[104]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
