{"id":"https://openalex.org/W2904533833","doi":"https://doi.org/10.1002/prop.201900011","title":"The Holographic Entropy Arrangement","display_name":"The Holographic Entropy Arrangement","publication_year":2019,"publication_date":"2019-02-27","ids":{"openalex":"https://openalex.org/W2904533833","doi":"https://doi.org/10.1002/prop.201900011","mag":"2904533833"},"language":"en","primary_location":{"id":"doi:10.1002/prop.201900011","doi":"https://doi.org/10.1002/prop.201900011","is_oa":false,"landing_page_url":"https://doi.org/10.1002/prop.201900011","pdf_url":null,"source":{"id":"https://openalex.org/S4210238095","display_name":"Fortschritte der Physik","issn_l":"0015-8208","issn":["0015-8208","1521-3978"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fortschritte der Physik","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.08133","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009085546","display_name":"Veronika E. Hubeny","orcid":"https://orcid.org/0000-0003-0268-5587","observed_orcids":["https://orcid.org/0000-0003-0268-5587"]},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Veronika E. Hubeny","raw_affiliation_strings":["Center for Quantum Mathematics and Physics (QMAP) Department of Physics University of California Davis CA 95616 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Mathematics and Physics (QMAP) Department of Physics University of California Davis CA 95616 USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035799753","display_name":"Mukund Rangamani","orcid":"https://orcid.org/0000-0002-4336-1346","observed_orcids":["https://orcid.org/0000-0002-4336-1346"]},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mukund Rangamani","raw_affiliation_strings":["Center for Quantum Mathematics and Physics (QMAP) Department of Physics University of California Davis CA 95616 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Quantum Mathematics and Physics (QMAP) Department of Physics University of California Davis CA 95616 USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062732322","display_name":"Massimiliano Rota","orcid":"https://orcid.org/0000-0001-5097-8259","observed_orcids":["https://orcid.org/0000-0001-5097-8259"]},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Massimiliano Rota","raw_affiliation_strings":["Department of Physics University of California Santa Barbara CA 93106 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics University of California Santa Barbara CA 93106 USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062732322"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":4.1855,"has_fulltext":true,"cited_by_count":72,"citation_normalized_percentile":{"value":0.94146265,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"67","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multipartite-entanglement","display_name":"multipartite entanglement","score":0.9670000076293945},{"id":"https://openalex.org/keywords/entropy-inequality","display_name":"entropy inequality","score":0.7689999938011169},{"id":"https://openalex.org/keywords/hyperplane-arrangements","display_name":"hyperplane arrangements","score":0.8450000286102295},{"id":"https://openalex.org/keywords/information-quantity","display_name":"information quantity","score":0.550000011920929},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"quantum entanglement","score":0.5559999942779541},{"id":"https://openalex.org/keywords/composite-quantum-systems","display_name":"composite quantum systems","score":0.6309999823570251}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7477999925613403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6450999975204468},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6276999711990356},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5436999797821045},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.5353999733924866},{"id":"https://openalex.org/C187590223","wikidata":"https://www.wikidata.org/wiki/Q527628","display_name":"Holography","level":2,"score":0.48069998621940613},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.4596000015735626},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.45910000801086426},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.3833000063896179},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3758000135421753},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.3741999864578247},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.3628999888896942},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.36059999465942383},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.33739998936653137},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3294000029563904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32829999923706055},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3122999966144562},{"id":"https://openalex.org/C14828074","wikidata":"https://www.wikidata.org/wiki/Q186559","display_name":"Arrow of time","level":3,"score":0.29820001125335693},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.29159998893737793},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.27950000762939453},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.2777999937534332},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2623000144958496}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1002/prop.201900011","doi":"https://doi.org/10.1002/prop.201900011","is_oa":false,"landing_page_url":"https://doi.org/10.1002/prop.201900011","pdf_url":null,"source":{"id":"https://openalex.org/S4210238095","display_name":"Fortschritte der Physik","issn_l":"0015-8208","issn":["0015-8208","1521-3978"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fortschritte der Physik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1812.08133","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.08133","pdf_url":"https://arxiv.org/pdf/1812.08133","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt4mf3s6fc","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/4mf3s6fc","pdf_url":"https://escholarship.org/content/qt4mf3s6fc/qt4mf3s6fc.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fortschritte der Physik, vol 67, iss 4","raw_type":"article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt4mf3s6fc","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/4mf3s6fc","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fortschritte der Physik, vol 67, iss 4","raw_type":"article"},{"id":"pmh:oai:osti.gov:1497238","doi":null,"is_oa":false,"landing_page_url":"https://www.osti.gov/biblio/1497238","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:osti.gov:1596290","doi":null,"is_oa":false,"landing_page_url":"https://www.osti.gov/biblio/1596290","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"doi:10.48550/arxiv.1812.08133","doi":"https://doi.org/10.48550/arxiv.1812.08133","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1812.08133","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.08133","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.08133","pdf_url":"https://arxiv.org/pdf/1812.08133","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1871477277","display_name":null,"funder_award_id":"NSF PHY 17-48958","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5572083699","display_name":"ENTANGLEMENT IN STRING THEORY AND THE EMERGENCE OF GEOMETRY","funder_award_id":"DESC0019480","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G694703801","display_name":null,"funder_award_id":"DE\u2010SC0009999","funder_id":"https://openalex.org/F4320308590","funder_display_name":"University of California"},{"id":"https://openalex.org/G985207216","display_name":null,"funder_award_id":"PHY-1748958","funder_id":"https://openalex.org/F4320337427","funder_display_name":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308590","display_name":"University of California","ror":"https://ror.org/00pjdza24"},{"id":"https://openalex.org/F4320320286","display_name":"University College London","ror":"https://ror.org/02jx3x895"},{"id":"https://openalex.org/F4320332500","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463"},{"id":"https://openalex.org/F4320337427","display_name":"Kavli Institute for Theoretical Physics, University of California, Santa Barbara","ror":"https://ror.org/02t274463"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904533833.pdf","grobid_xml":"https://content.openalex.org/works/W2904533833.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W377884864","https://openalex.org/W1847580993","https://openalex.org/W1915702001","https://openalex.org/W1966509080","https://openalex.org/W1973553511","https://openalex.org/W2019024022","https://openalex.org/W2021923657","https://openalex.org/W2034493186","https://openalex.org/W2041625524","https://openalex.org/W2046439097","https://openalex.org/W2071849960","https://openalex.org/W2079320104","https://openalex.org/W2103286274","https://openalex.org/W2110018289","https://openalex.org/W2110283120","https://openalex.org/W2139708568","https://openalex.org/W2157692768","https://openalex.org/W2161604278","https://openalex.org/W2164817854","https://openalex.org/W2247548592","https://openalex.org/W2296644939","https://openalex.org/W2339658113","https://openalex.org/W2508355087","https://openalex.org/W2511769717","https://openalex.org/W2512685237","https://openalex.org/W2518252703","https://openalex.org/W2604578214","https://openalex.org/W2608666998","https://openalex.org/W2760860222","https://openalex.org/W2781220007","https://openalex.org/W2785456124","https://openalex.org/W2787137443","https://openalex.org/W2790814557","https://openalex.org/W2794959158","https://openalex.org/W2885882085","https://openalex.org/W2887113488","https://openalex.org/W2888056151","https://openalex.org/W2899349444","https://openalex.org/W3037737784","https://openalex.org/W3038000163","https://openalex.org/W3098991820","https://openalex.org/W3101004335","https://openalex.org/W4238093142","https://openalex.org/W4296402736","https://openalex.org/W4403110017"],"related_works":["https://openalex.org/W4402045101","https://openalex.org/W2888056151","https://openalex.org/W7221387077","https://openalex.org/W4408934125","https://openalex.org/W7214034827","https://openalex.org/W2910799846","https://openalex.org/W7163152369","https://openalex.org/W4404390342","https://openalex.org/W2922963664","https://openalex.org/W7117115614"],"abstract_inverted_index":{"Abstract":[0],"We":[1,41,139,185],"develop":[2],"a":[3,53,106,152],"convenient":[4],"framework":[5],"for":[6,44,100,110,173,179],"characterizing":[7],"multipartite":[8],"entanglement":[9,205],"in":[10,26,65,89,190],"composite":[11],"systems,":[12],"based":[13],"on":[14],"relations":[15],"between":[16],"entropies":[17],"of":[18,28,48,56,68,71,113,136,203],"various":[19],"subsystems.":[20],"This":[21,73],"continues":[22],"the":[23,34,66,78,92,119,122,132,144,149,162,165,180,204],"program":[24],"initiated":[25],"[1],":[27],"using":[29],"holography":[30],"to":[31,76,142,154,195],"effectively":[32],"recast":[33],"geometric":[35],"problem":[36],"into":[37],"an":[38,45,69,200],"algebraic":[39,83],"one.":[40],"prove":[42],"that,":[43],"arbitrary":[46,191],"number":[47,112],"parties,":[49,102],"our":[50],"procedure":[51],"identifies":[52],"finite":[54],"set":[55],"entropic":[57],"information":[58,98,159],"quantities":[59,99],"that":[60],"we":[61,87,94,169],"conveniently":[62],"represent":[63],"geometrically":[64],"form":[67],"arrangement":[70,120,150],"hyperplanes.":[72],"leads":[74],"us":[75],"define":[77],"holographic":[79,123,128,166],"entropy":[80,124,129,137,167,183],"arrangement,":[81],"whose":[82],"and":[84,176,199],"combinatorial":[85],"aspects":[86],"explore":[88],"detail.":[90],"Using":[91],"framework,":[93],"derive":[95],"three":[96],"new":[97,107],"four":[101],"as":[103,105],"well":[104],"infinite":[108],"family":[109],"any":[111],"parties.":[114],"A":[115],"natural":[116],"construct":[117],"from":[118],"is":[121],"polyhedron":[125,145,163],"which":[126],"captures":[127],"inequalities":[130],"describing":[131],"physically":[133],"allowed":[134],"region":[135],"space.":[138],"illustrate":[140],"how":[141],"obtain":[143],"by":[146],"winnowing":[147],"down":[148],"through":[151],"sieve":[153],"pick":[155],"out":[156],"candidate":[157],"sign\u2010definite":[158],"quantities.":[160],"Comparing":[161],"with":[164,187],"cone,":[168],"find":[170],"perfect":[171],"agreement":[172],"4":[174],"parties":[175],"corroborating":[177],"evidence":[178],"conjectured":[181],"5\u2010party":[182],"cone.":[184],"work":[186],"explicit":[188],"configurations":[189],"(time\u2010dependent)":[192],"states":[193],"leading":[194],"both":[196],"simple":[197],"derivations":[198],"intuitive":[201],"picture":[202],"pattern.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2018-12-22T00:00:00"}