Publication Information

{'id': 'https://openalex.org/W1704977233', 'doi': 'https://doi.org/10.48550/arxiv.1503.06434', 'title': 'Equivalence classes for smooth Fano polytopes', 'display_name': 'Equivalence classes for smooth Fano polytopes', 'publication_year': 2015, 'publication_date': '2015-01-01', 'ids': {'openalex': 'https://openalex.org/W1704977233', 'doi': 'https://doi.org/10.48550/arxiv.1503.06434', 'mag': '1704977233'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1503.06434', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1503.06434', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5107465100', 'display_name': 'Akihiro Higashitani', 'orcid': 'https://orcid.org/0000-0002-6267-8250'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Akihiro Higashitani', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5107465100'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.596083, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 66, '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': 0.9995, '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': 0.9995, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9995, '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/T10304', 'display_name': 'Geometric and Algebraic Topology', 'score': 0.9984, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/fano-plane', 'display_name': 'Fano plane', 'score': 0.91857284}, {'id': 'https://openalex.org/keywords/equivalence-class', 'display_name': 'Equivalence class (music)', 'score': 0.43537328}], 'concepts': [{'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.9669908}, {'id': 'https://openalex.org/C39757861', 'wikidata': 'https://www.wikidata.org/wiki/Q1395814', 'display_name': 'Fano plane', 'level': 2, 'score': 0.91857284}, {'id': 'https://openalex.org/C2780069185', 'wikidata': 'https://www.wikidata.org/wiki/Q7977945', 'display_name': 'Equivalence (formal languages)', 'level': 2, 'score': 0.7381317}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.7113794}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6373172}, {'id': 'https://openalex.org/C2777044963', 'wikidata': 'https://www.wikidata.org/wiki/Q5384707', 'display_name': 'Equivalence class (music)', 'level': 2, 'score': 0.43537328}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.34524584}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.27245897}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1503.06434', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1503.06434', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1503.06434', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W1521877949', 'https://openalex.org/W1625610113', 'https://openalex.org/W1796115931', 'https://openalex.org/W1976677460', 'https://openalex.org/W1978619025', 'https://openalex.org/W2025242939', 'https://openalex.org/W2162548526'], 'related_works': ['https://openalex.org/W4300895258', 'https://openalex.org/W4255196547', 'https://openalex.org/W3103454236', 'https://openalex.org/W2952999609', 'https://openalex.org/W2951812514', 'https://openalex.org/W2429044630', 'https://openalex.org/W2382232876', 'https://openalex.org/W2182642161', 'https://openalex.org/W1704977233', 'https://openalex.org/W1625610113'], 'abstract_inverted_index': {'Let': [0], '$\\mathcal{F}(n)$': [1, 24], 'be': [2], 'the': [3, 18], 'set': [4], 'of': [5, 37, 51, 67], 'smooth': [6, 30, 57, 69], 'Fano': [7, 31, 58, 70], '$n$-polytopes': [8, 59], 'up': [9], 'to': [10], 'unimocular': [11], 'equivalence.': [12], 'In': [13], 'this': [14], 'paper,': [15], 'we': [16, 34], 'consider': [17], 'F-equivalence': [19, 38, 52], 'or': [20, 28], 'I-equivalence': [21, 41], 'classes': [22, 39, 42, 53], 'for': [23, 43, 56], 'and': [25, 40, 63], 'introduce': [26], 'F-isolated': [27], 'I-isolated': [29, 68], '$n$-polytopes.': [32], 'First,': [33], 'describe': [35], 'all': [36], '$\\mathcal{F}(5)$.': [44], 'We': [45], 'also': [46], 'give': [47], 'a': [48, 65], 'complete': [49], 'characterization': [50], '(I-equivalence': [54], 'classes)': [55], 'with': [60], '$n+3$': [61], 'vertices': [62], 'construct': [64], 'family': [66], 'polytopes.': [71]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1704977233', 'counts_by_year': [{'year': 2017, 'cited_by_count': 1}], 'updated_date': '2024-12-17T07:57:01.444796', 'created_date': '2016-06-24'}