{"id":"https://openalex.org/W3164039710","doi":"https://doi.org/10.1090/mcom/3672","title":"Spanning the isogeny class of a power of an elliptic curve","display_name":"Spanning the isogeny class of a power of an elliptic curve","publication_year":2021,"publication_date":"2021-09-16","ids":{"openalex":"https://openalex.org/W3164039710","doi":"https://doi.org/10.1090/mcom/3672","mag":"3164039710"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3672","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3672","pdf_url":"https://www.ams.org/mcom/2022-91-333/S0025-5718-2021-03672-8/S0025-5718-2021-03672-8.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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2022-91-333/S0025-5718-2021-03672-8/S0025-5718-2021-03672-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052450959","display_name":"Markus Kirschmer","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Kirschmer","raw_affiliation_strings":["Universit\u00c3\u00a4t Paderborn, Fakult\u00c3\u00a4t EIM, Institut f\u00c3\u00bcr Mathematik, Warburger Str. 100, 33098 Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00c3\u00a4t Paderborn, Fakult\u00c3\u00a4t EIM, Institut f\u00c3\u00bcr Mathematik, Warburger Str. 100, 33098 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012916281","display_name":"Fabien Narbonne","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/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fabien Narbonne","raw_affiliation_strings":["Univ. Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108352401","display_name":"Christophe Ritzenthaler","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/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Ritzenthaler","raw_affiliation_strings":["Univ. Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106484741","display_name":"Damien Robert","orcid":"https://orcid.org/0000-0003-4378-4274"},"institutions":[{"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/I4210131512","display_name":"Centre Inria de l'universit\u00e9 de Bordeaux","ror":"https://ror.org/03tjcj052","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210131512"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damien Robert","raw_affiliation_strings":["INRIA Bordeaux\u00e2\u0080\u0093Sud-Ouest, 200 avenue de la Vieille Tour, 33405 Talence Cedex, France; and Institut de Math\u00c3\u00a9matiques de Bordeaux, 351 cours de la liberation, 33405 Talence cedex, France","INRIA Bordeaux\u00e2\u0080\u0093Sud-Ouest, 200 avenue de la Vieille Tour, 33405 Talence Cedex, France","Institut de Math\u00c3\u00a9matiques de Bordeaux, 351 cours de la liberation, 33405 Talence cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Bordeaux\u00e2\u0080\u0093Sud-Ouest, 200 avenue de la Vieille Tour, 33405 Talence Cedex, France; and Institut de Math\u00c3\u00a9matiques de Bordeaux, 351 cours de la liberation, 33405 Talence cedex, France","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"INRIA Bordeaux\u00e2\u0080\u0093Sud-Ouest, 200 avenue de la Vieille Tour, 33405 Talence Cedex, France","institution_ids":["https://openalex.org/I4210131512","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Institut de Math\u00c3\u00a9matiques de Bordeaux, 351 cours de la liberation, 33405 Talence cedex, France","institution_ids":["https://openalex.org/I4210166017"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5335,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8932102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"91","issue":"333","first_page":"401","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9997000098228455,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5959183573722839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5253702402114868},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3661230802536011},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22928115725517273}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5959183573722839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5253702402114868},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3661230802536011},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22928115725517273}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/mcom/3672","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3672","pdf_url":"https://www.ams.org/mcom/2022-91-333/S0025-5718-2021-03672-8/S0025-5718-2021-03672-8.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:arXiv.org:2004.08315","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.08315","pdf_url":"https://arxiv.org/pdf/2004.08315","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02554714v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-02554714","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":"https://hal.inria.fr/hal-02554714","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02554714v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02554714","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, 2021, 91 (333), pp.401-449. &#x27E8;10.1090/mcom/3672&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/191576","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/191576","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":{"id":"doi:10.1090/mcom/3672","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3672","pdf_url":"https://www.ams.org/mcom/2022-91-333/S0025-5718-2021-03672-8/S0025-5718-2021-03672-8.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":[{"id":"https://openalex.org/G2895046585","display_name":null,"funder_award_id":"ANR-19-CE48-0008","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3597637701","display_name":null,"funder_award_id":"ANR-11-LABX-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":99,"referenced_works":["https://openalex.org/W84515655","https://openalex.org/W95950331","https://openalex.org/W146986351","https://openalex.org/W172158268","https://openalex.org/W201322677","https://openalex.org/W574260445","https://openalex.org/W635095611","https://openalex.org/W1482156586","https://openalex.org/W1514721180","https://openalex.org/W1545876477","https://openalex.org/W1558046128","https://openalex.org/W1572341022","https://openalex.org/W1592482282","https://openalex.org/W1600749473","https://openalex.org/W1602858161","https://openalex.org/W1611566840","https://openalex.org/W1617981007","https://openalex.org/W1802816711","https://openalex.org/W1970574333","https://openalex.org/W1985192116","https://openalex.org/W1993930656","https://openalex.org/W1997002146","https://openalex.org/W2022224108","https://openalex.org/W2025893050","https://openalex.org/W2026258986","https://openalex.org/W2026644646","https://openalex.org/W2030012804","https://openalex.org/W2041442561","https://openalex.org/W2046350783","https://openalex.org/W2050019333","https://openalex.org/W2050292279","https://openalex.org/W2050381181","https://openalex.org/W2051601956","https://openalex.org/W2058823269","https://openalex.org/W2070859775","https://openalex.org/W2074169152","https://openalex.org/W2076178640","https://openalex.org/W2076752446","https://openalex.org/W2081640523","https://openalex.org/W2084316765","https://openalex.org/W2087891569","https://openalex.org/W2095877551","https://openalex.org/W2100909272","https://openalex.org/W2107753945","https://openalex.org/W2109806227","https://openalex.org/W2130484288","https://openalex.org/W2137709159","https://openalex.org/W2156638638","https://openalex.org/W2160834277","https://openalex.org/W2167011942","https://openalex.org/W2270299520","https://openalex.org/W2282507138","https://openalex.org/W2301130872","https://openalex.org/W2322604914","https://openalex.org/W2323253912","https://openalex.org/W2325546091","https://openalex.org/W2330729490","https://openalex.org/W2332187023","https://openalex.org/W2522739849","https://openalex.org/W2614117299","https://openalex.org/W2737228522","https://openalex.org/W2809819244","https://openalex.org/W2887830752","https://openalex.org/W2938677386","https://openalex.org/W2950201794","https://openalex.org/W2963488390","https://openalex.org/W2963622115","https://openalex.org/W2963686199","https://openalex.org/W2963907606","https://openalex.org/W2964351851","https://openalex.org/W2983449263","https://openalex.org/W2993385195","https://openalex.org/W3000676182","https://openalex.org/W3011100371","https://openalex.org/W3092904901","https://openalex.org/W3100736790","https://openalex.org/W3100936613","https://openalex.org/W3101351615","https://openalex.org/W3101376714","https://openalex.org/W3101933288","https://openalex.org/W3102848124","https://openalex.org/W3105190800","https://openalex.org/W3105751454","https://openalex.org/W3106215987","https://openalex.org/W3153857912","https://openalex.org/W4237103727","https://openalex.org/W4243186555","https://openalex.org/W4245273624","https://openalex.org/W4245784242","https://openalex.org/W4249824812","https://openalex.org/W4252526275","https://openalex.org/W4300957310","https://openalex.org/W6606016551","https://openalex.org/W6608320998","https://openalex.org/W6638289518","https://openalex.org/W6676273370","https://openalex.org/W6684740583","https://openalex.org/W6815327410","https://openalex.org/W6834965459"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Let":[0],"<inline-formula":[1,24,63,160,185],"content-type=\"math/mathml\">":[2,25,64,161,186],"<mml:math":[3,26,65,162,187],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[4,27,66,163,188],"alttext=\"upper":[5,67,164],"E\">":[6],"<mml:semantics>":[7,29,71,167,190],"<mml:mi>E</mml:mi>":[8,73,169],"<mml:annotation":[9,31,76,172,192],"encoding=\"application/x-tex\">E</mml:annotation>":[10],"</mml:semantics>":[11,33,78,174,194],"</mml:math>":[12,34,79,175,195],"</inline-formula>":[13,35,80,176,196],"be":[14,36],"an":[15,46,132,147],"ordinary":[16],"elliptic":[17],"curve":[18],"over":[19,90,210],"a":[20,37,128],"finite":[21,211],"field":[22],"and":[23,96,177],"alttext=\"g\">":[28],"<mml:mi>g</mml:mi>":[30,74],"encoding=\"application/x-tex\">g</mml:annotation>":[32],"positive":[38],"integer.":[39],"Under":[40],"some":[41],"technical":[42],"assumptions,":[43],"we":[44],"give":[45,146],"algorithm":[47],"to":[48,111,145,159],"span":[49],"the":[50,59,124,136,179],"isomorphism":[51],"classes":[52],"of":[53,62,101,117,131,135,150,178,204],"principally":[54,154],"polarized":[55,155],"abelian":[56,156],"varieties":[57,83],"in":[58,99,123,183],"isogeny":[60],"class":[61],"E":[68,165],"Superscript":[69],"g\">":[70],"<mml:msup>":[72,168],"</mml:msup>":[75,171],"encoding=\"application/x-tex\">E^g</mml:annotation>":[77],".":[81,197],"The":[82],"are":[84],"first":[85],"described":[86],"as":[87,121],"hermitian":[88],"lattices":[89],"(not":[91],"necessarily":[92],"maximal)":[93],"quadratic":[94],"orders":[95],"then":[97,141],"geometrically":[98],"terms":[100],"their":[102],"algebraic":[103,148],"theta":[104,125,137],"null":[105,138],"point.":[106,139],"We":[107,140,198],"also":[108],"show":[109],"how":[110],"algebraically":[112],"compute":[113],"Siegel":[114],"modular":[115,181],"forms":[116],"even":[118],"weight":[119],"given":[120],"polynomials":[122],"constants":[126],"by":[127],"careful":[129],"choice":[130],"affine":[133],"lift":[134],"use":[142],"these":[143],"results":[144],"computation":[149],"Serre\u2019s":[151],"obstruction":[152],"for":[153],"threefolds":[157],"isogenous":[158],"cubed\">":[166],"<mml:mn>3</mml:mn>":[170],"encoding=\"application/x-tex\">E^3</mml:annotation>":[173],"Igusa":[180],"form":[182],"dimension":[184],"alttext=\"4\">":[189],"<mml:mn>4</mml:mn>":[191],"encoding=\"application/x-tex\">4</mml:annotation>":[193],"illustrate":[199],"our":[200],"algorithms":[201],"with":[202,206],"examples":[203],"curves":[205],"many":[207],"rational":[208],"points":[209],"fields.":[212]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2021-06-07T00:00:00"}
