Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3097456800', 'doi': 'https://doi.org/10.1007/s13366-020-00545-0', 'title': 'Chiral polytopes of full rank exist only in ranks 4 and 5', 'display_name': 'Chiral polytopes of full rank exist only in ranks 4 and 5', 'publication_year': 2020, 'publication_date': '2020-11-04', 'ids': {'openalex': 'https://openalex.org/W3097456800', 'doi': 'https://doi.org/10.1007/s13366-020-00545-0', 'mag': '3097456800'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s13366-020-00545-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210222925', 'display_name': 'Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry', 'issn_l': '0138-4821', 'issn': ['0138-4821', '2191-0383'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5086619180', 'display_name': 'Daniel Pellicer', 'orcid': 'https://orcid.org/0000-0001-9109-0643'}, 'institutions': [{'id': 'https://openalex.org/I4210102553', 'display_name': 'Universidad de Morelia', 'ror': 'https://ror.org/00tnb2p82', 'country_code': 'MX', 'type': 'education', 'lineage': ['https://openalex.org/I4210102553']}], 'countries': ['MX'], 'is_corresponding': True, 'raw_author_name': 'Daniel Pellicer', 'raw_affiliation_strings': ['Centro de Ciencias Matemáticas, UNAM, Campus Morelia, Morelia, Mexico'], 'affiliations': [{'raw_affiliation_string': 'Centro de Ciencias Matemáticas, UNAM, Campus Morelia, Morelia, Mexico', 'institution_ids': ['https://openalex.org/I4210102553']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5086619180'], 'corresponding_institution_ids': ['https://openalex.org/I4210102553'], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.689, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.363, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 69, 'max': 73}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9993, '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': 0.9993, '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/T10996', 'display_name': 'Computational Geometry and Mesh Generation', 'score': 0.9835, 'subfield': {'id': 'https://openalex.org/subfields/1704', 'display_name': 'Computer Graphics and Computer-Aided Design'}, '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/T11830', 'display_name': 'Point processes and geometric inequalities', 'score': 0.9731, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/rank', 'display_name': 'Rank (graph theory)', 'score': 0.85884815}], 'concepts': [{'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.91043425}, {'id': 'https://openalex.org/C164226766', 'wikidata': 'https://www.wikidata.org/wiki/Q7293202', 'display_name': 'Rank (graph theory)', 'level': 2, 'score': 0.85884815}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.84184355}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.66718346}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.638394}, {'id': 'https://openalex.org/C186450821', 'wikidata': 'https://www.wikidata.org/wiki/Q17295', 'display_name': 'Euclidean space', 'level': 2, 'score': 0.5861558}, {'id': 'https://openalex.org/C129782007', 'wikidata': 'https://www.wikidata.org/wiki/Q162886', 'display_name': 'Euclidean geometry', 'level': 2, 'score': 0.4819731}, {'id': 'https://openalex.org/C77553402', 'wikidata': 'https://www.wikidata.org/wiki/Q13222579', 'display_name': 'Upper and lower bounds', 'level': 2, 'score': 0.47031417}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.4640284}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.13084736}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.12037426}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.06065941}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s13366-020-00545-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210222925', 'display_name': 'Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry', 'issn_l': '0138-4821', 'issn': ['0138-4821', '2191-0383'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 26, 'referenced_works': ['https://openalex.org/W1543806621', 'https://openalex.org/W1810549944', 'https://openalex.org/W1970228947', 'https://openalex.org/W1989416207', 'https://openalex.org/W1991023612', 'https://openalex.org/W2000411577', 'https://openalex.org/W2020428943', 'https://openalex.org/W2020641847', 'https://openalex.org/W2024577953', 'https://openalex.org/W2037564252', 'https://openalex.org/W2047205254', 'https://openalex.org/W2061310585', 'https://openalex.org/W2062938993', 'https://openalex.org/W2079219714', 'https://openalex.org/W2087666661', 'https://openalex.org/W2099591792', 'https://openalex.org/W2327984007', 'https://openalex.org/W2333820330', 'https://openalex.org/W2386238139', 'https://openalex.org/W2610447370', 'https://openalex.org/W2950244900', 'https://openalex.org/W3135933121', 'https://openalex.org/W4243311420', 'https://openalex.org/W4250638316', 'https://openalex.org/W4252673426', 'https://openalex.org/W51037165'], 'related_works': ['https://openalex.org/W4310904699', 'https://openalex.org/W4300915973', 'https://openalex.org/W4294294347', 'https://openalex.org/W4287215706', 'https://openalex.org/W4281992692', 'https://openalex.org/W3104946817', 'https://openalex.org/W2610298398', 'https://openalex.org/W2404658402', 'https://openalex.org/W2279239548', 'https://openalex.org/W115379796'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3097456800', 'counts_by_year': [{'year': 2021, 'cited_by_count': 2}], 'updated_date': '2024-12-31T03:47:42.018179', 'created_date': '2020-11-09'}