Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2796867332', 'doi': 'https://doi.org/10.2307/3027133', 'title': 'A Simple Explicit Formula for the Bernoulli Numbers', 'display_name': 'A Simple Explicit Formula for the Bernoulli Numbers', 'publication_year': 1982, 'publication_date': '1982-09-01', 'ids': {'openalex': 'https://openalex.org/W2796867332', 'doi': 'https://doi.org/10.2307/3027133', 'mag': '2796867332'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.2307/3027133', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210176229', 'display_name': 'The Two-Year College Mathematics Journal', 'issn_l': '0049-4925', 'issn': ['0049-4925', '2325-9116'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], '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/A5061171885', 'display_name': 'F. Lee Cook', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'F. Lee Cook', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5061171885'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.790698, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 70, 'max': 72}, 'biblio': {'volume': '13', 'issue': '4', 'first_page': '273', 'last_page': '273'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12170', 'display_name': 'History of Mathematics in Education and Research', 'score': 0.6128, 'subfield': {'id': 'https://openalex.org/subfields/2614', 'display_name': 'Theoretical Computer Science'}, '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/T12170', 'display_name': 'History of Mathematics in Education and Research', 'score': 0.6128, 'subfield': {'id': 'https://openalex.org/subfields/2614', 'display_name': 'Theoretical Computer Science'}, '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/T13400', 'display_name': 'Applications of Generalized Functions in Mathematics and Physics', 'score': 0.5361, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/generalized-functions', 'display_name': 'Generalized Functions', 'score': 0.55486}, {'id': 'https://openalex.org/keywords/infinite-and-infinitesimal-numbers', 'display_name': 'Infinite and Infinitesimal Numbers', 'score': 0.549225}, {'id': 'https://openalex.org/keywords/mathematical-concepts', 'display_name': 'Mathematical Concepts', 'score': 0.530762}, {'id': 'https://openalex.org/keywords/nonlinear-models', 'display_name': 'Nonlinear Models', 'score': 0.530437}, {'id': 'https://openalex.org/keywords/colombeau-algebras', 'display_name': 'Colombeau Algebras', 'score': 0.529735}], 'concepts': [{'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.8061193}, {'id': 'https://openalex.org/C152361515', 'wikidata': 'https://www.wikidata.org/wiki/Q181328', 'display_name': "Bernoulli's principle", 'level': 2, 'score': 0.7060727}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.53337204}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.45815125}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.34586933}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.32867694}, {'id': 'https://openalex.org/C144237770', 'wikidata': 'https://www.wikidata.org/wiki/Q747534', 'display_name': 'Mathematical economics', 'level': 1, 'score': 0.32091796}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.108894974}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.09148988}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.07342833}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.051644206}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.04548049}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.2307/3027133', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210176229', 'display_name': 'The Two-Year College Mathematics Journal', 'issn_l': '0049-4925', 'issn': ['0049-4925', '2325-9116'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4254565718', 'https://openalex.org/W4253593777', 'https://openalex.org/W3101625811', 'https://openalex.org/W3094386089', 'https://openalex.org/W2951497643', 'https://openalex.org/W2899588557', 'https://openalex.org/W2382521049', 'https://openalex.org/W2144385241', 'https://openalex.org/W1619264321', 'https://openalex.org/W1585007175'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2796867332', 'counts_by_year': [{'year': 2019, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-09-16T19:50:06.294284', 'created_date': '2018-04-24'}