Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2331365008', 'doi': 'https://doi.org/10.1007/s00013-005-1285-2', 'title': 'A characterization of the Clifford torus', 'display_name': 'A characterization of the Clifford torus', 'publication_year': 2005, 'publication_date': '2005-08-01', 'ids': {'openalex': 'https://openalex.org/W2331365008', 'doi': 'https://doi.org/10.1007/s00013-005-1285-2', 'mag': '2331365008'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00013-005-1285-2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S77748030', 'display_name': 'Archiv der Mathematik', 'issn_l': '0003-889X', 'issn': ['0003-889X', '1420-8938'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320186', 'host_organization_name': 'Birkhäuser', 'host_organization_lineage': ['https://openalex.org/P4310320186', 'https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Birkhäuser', 'Springer Science+Business Media', 'Springer Nature'], '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/A5043445952', 'display_name': 'Theodoros Vlachos', 'orcid': 'https://orcid.org/0000-0002-5848-9203'}, 'institutions': [{'id': 'https://openalex.org/I194019607', 'display_name': 'University of Ioannina', 'ror': 'https://ror.org/01qg3j183', 'country_code': 'GR', 'type': 'education', 'lineage': ['https://openalex.org/I194019607']}], 'countries': ['GR'], 'is_corresponding': True, 'raw_author_name': 'Theodoros Vlachos', 'raw_affiliation_strings': ['Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece', 'institution_ids': ['https://openalex.org/I194019607']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5043445952'], 'corresponding_institution_ids': ['https://openalex.org/I194019607'], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.704, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.61118, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 76, 'max': 77}, 'biblio': {'volume': '85', 'issue': '2', 'first_page': '175', 'last_page': '182'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T14286', 'display_name': 'Postural Deformities in Neurological Disorders', 'score': 0.9961, 'subfield': {'id': 'https://openalex.org/subfields/2728', 'display_name': 'Neurology'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, 'topics': [{'id': 'https://openalex.org/T14286', 'display_name': 'Postural Deformities in Neurological Disorders', 'score': 0.9961, 'subfield': {'id': 'https://openalex.org/subfields/2728', 'display_name': 'Neurology'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, {'id': 'https://openalex.org/T10304', 'display_name': 'Symplectic Topology and Knot Invariants', 'score': 0.9914, '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/T12037', 'display_name': 'Quaternionic Analysis and Applications', 'score': 0.984, '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/clifford-torus', 'display_name': 'Clifford torus', 'score': 0.766575}, {'id': 'https://openalex.org/keywords/characterization', 'display_name': 'Characterization (materials science)', 'score': 0.67579573}, {'id': 'https://openalex.org/keywords/gaussian-curvature', 'display_name': 'Gaussian curvature', 'score': 0.63043606}, {'id': 'https://openalex.org/keywords/clifford-analysis', 'display_name': 'Clifford Analysis', 'score': 0.510961}, {'id': 'https://openalex.org/keywords/minimal-surface', 'display_name': 'Minimal surface', 'score': 0.48988098}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8397832}, {'id': 'https://openalex.org/C9767117', 'wikidata': 'https://www.wikidata.org/wiki/Q12510', 'display_name': 'Torus', 'level': 2, 'score': 0.8197849}, {'id': 'https://openalex.org/C56402544', 'wikidata': 'https://www.wikidata.org/wiki/Q5133090', 'display_name': 'Clifford torus', 'level': 3, 'score': 0.766575}, {'id': 'https://openalex.org/C2780841128', 'wikidata': 'https://www.wikidata.org/wiki/Q5073781', 'display_name': 'Characterization (materials science)', 'level': 2, 'score': 0.67579573}, {'id': 'https://openalex.org/C16140857', 'wikidata': 'https://www.wikidata.org/wiki/Q945953', 'display_name': 'Gaussian curvature', 'level': 3, 'score': 0.63043606}, {'id': 'https://openalex.org/C176217482', 'wikidata': 'https://www.wikidata.org/wiki/Q860554', 'display_name': 'Metric (unit)', 'level': 2, 'score': 0.5703823}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.53272045}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.50153923}, {'id': 'https://openalex.org/C30707913', 'wikidata': 'https://www.wikidata.org/wiki/Q1545397', 'display_name': 'Minimal surface', 'level': 2, 'score': 0.48988098}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.41511974}, {'id': 'https://openalex.org/C195065555', 'wikidata': 'https://www.wikidata.org/wiki/Q214881', 'display_name': 'Curvature', 'level': 2, 'score': 0.36549294}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3252572}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.27733266}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0980207}, {'id': 'https://openalex.org/C21547014', 'wikidata': 'https://www.wikidata.org/wiki/Q1423657', 'display_name': 'Operations management', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C120665830', 'wikidata': 'https://www.wikidata.org/wiki/Q14620', 'display_name': 'Optics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00013-005-1285-2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S77748030', 'display_name': 'Archiv der Mathematik', 'issn_l': '0003-889X', 'issn': ['0003-889X', '1420-8938'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320186', 'host_organization_name': 'Birkhäuser', 'host_organization_lineage': ['https://openalex.org/P4310320186', 'https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Birkhäuser', 'Springer Science+Business Media', 'Springer Nature'], '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': 7, 'referenced_works': ['https://openalex.org/W1551742094', 'https://openalex.org/W2011057396', 'https://openalex.org/W2029216987', 'https://openalex.org/W2050859738', 'https://openalex.org/W2081456747', 'https://openalex.org/W2583666141', 'https://openalex.org/W2797178342'], 'related_works': ['https://openalex.org/W4324143904', 'https://openalex.org/W4288627807', 'https://openalex.org/W4239126759', 'https://openalex.org/W4225647094', 'https://openalex.org/W2951057104', 'https://openalex.org/W2385033537', 'https://openalex.org/W2085279332', 'https://openalex.org/W1743854371', 'https://openalex.org/W1634687674', 'https://openalex.org/W1545882520'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2331365008', 'counts_by_year': [{'year': 2020, 'cited_by_count': 2}], 'updated_date': '2024-09-19T19:48:56.275310', 'created_date': '2016-06-24'}