{"id":"https://openalex.org/W2947934765","doi":"https://doi.org/10.1007/s11083-020-09541-4","title":"Whitney Numbers for Poset Cones","display_name":"Whitney Numbers for Poset Cones","publication_year":2021,"publication_date":"2021-01-25","ids":{"openalex":"https://openalex.org/W2947934765","doi":"https://doi.org/10.1007/s11083-020-09541-4","mag":"2947934765"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-020-09541-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-020-09541-4","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.00036","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067330446","display_name":"Galen Dorpalen\u2010Barry","orcid":"https://orcid.org/0000-0002-4951-4913"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Galen Dorpalen-Barry","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","School of Mathematics, University of Minnesota, Minneapolis, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000089868","display_name":"Jang Soo Kim","orcid":"https://orcid.org/0000-0002-6397-9477"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jang Soo Kim","raw_affiliation_strings":["Department of Mathematics, Sungkyunkwan University, Suwon, Gyeonggi-do, 16419, South Korea","Department of Mathematics , Sungkyunkwan University , Suwon, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sungkyunkwan University, Suwon, Gyeonggi-do, 16419, South Korea","institution_ids":["https://openalex.org/I848706"]},{"raw_affiliation_string":"Department of Mathematics , Sungkyunkwan University , Suwon, South Korea","institution_ids":["https://openalex.org/I848706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009173643","display_name":"Victor Reiner","orcid":"https://orcid.org/0000-0002-1816-5693"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victor Reiner","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","School of Mathematics, University of Minnesota, Minneapolis, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02685576,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"2","first_page":"283","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.8683575391769409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7899578809738159},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7866058349609375},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.6954675316810608},{"id":"https://openalex.org/keywords/multiset","display_name":"Multiset","score":0.6705539226531982},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5007245540618896},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.4671321213245392},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.44856709241867065},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.44305580854415894},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36123931407928467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.080381840467453}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8683575391769409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7899578809738159},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7866058349609375},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6954675316810608},{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.6705539226531982},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5007245540618896},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.4671321213245392},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.44856709241867065},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.44305580854415894},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36123931407928467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.080381840467453},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11083-020-09541-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-020-09541-4","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1906.00036","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.00036","pdf_url":"https://arxiv.org/pdf/1906.00036","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":"mag:2947934765","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.00036.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1906.00036","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.00036","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.00036","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.00036","pdf_url":"https://arxiv.org/pdf/1906.00036","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1933914410","display_name":null,"funder_award_id":"DMS-1601961","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2947934765.pdf","grobid_xml":"https://content.openalex.org/works/W2947934765.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1551177513","https://openalex.org/W1579213680","https://openalex.org/W1593478397","https://openalex.org/W1971735664","https://openalex.org/W1971830265","https://openalex.org/W1985762288","https://openalex.org/W2009190506","https://openalex.org/W2020102029","https://openalex.org/W2022602967","https://openalex.org/W2039415399","https://openalex.org/W2044916836","https://openalex.org/W2046389838","https://openalex.org/W2050993850","https://openalex.org/W2052462187","https://openalex.org/W2058773342","https://openalex.org/W2058830040","https://openalex.org/W2061219385","https://openalex.org/W2068321773","https://openalex.org/W2072016444","https://openalex.org/W2110754991","https://openalex.org/W2128057344","https://openalex.org/W2163903931","https://openalex.org/W2572527475","https://openalex.org/W2608666998","https://openalex.org/W2775228770","https://openalex.org/W2803058183","https://openalex.org/W2923580207","https://openalex.org/W2950395448","https://openalex.org/W2962867705","https://openalex.org/W2997541814","https://openalex.org/W4238232089","https://openalex.org/W4255903379"],"related_works":["https://openalex.org/W3124299311","https://openalex.org/W2793088524","https://openalex.org/W2036440872","https://openalex.org/W2950412371","https://openalex.org/W1967223908","https://openalex.org/W2953072482","https://openalex.org/W3001604198","https://openalex.org/W1653293487","https://openalex.org/W3102212759","https://openalex.org/W2786870567","https://openalex.org/W2949991286","https://openalex.org/W2140523865","https://openalex.org/W3100944326","https://openalex.org/W2805362492","https://openalex.org/W1584726502","https://openalex.org/W1593740639","https://openalex.org/W2004076922","https://openalex.org/W3142171453","https://openalex.org/W3006717099","https://openalex.org/W2963466657"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}