Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3048343962', 'doi': 'https://doi.org/10.21136/cpmf.1880.122871', 'title': 'A remark on Bernoulli numbers', 'display_name': 'A remark on Bernoulli numbers', 'publication_year': 1880, 'publication_date': '1880-01-01', 'ids': {'openalex': 'https://openalex.org/W3048343962', 'doi': 'https://doi.org/10.21136/cpmf.1880.122871', 'mag': '3048343962'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.21136/cpmf.1880.122871', 'pdf_url': 'http://dml.cz/bitstream/handle/10338.dmlcz/122871/CasPestMatFys_009-1880-3_2.pdf', 'source': {'id': 'https://openalex.org/S4210208554', 'display_name': 'Časopis pro pěstování matematiky a fysiky', 'issn_l': '1802-114X', 'issn': ['1802-114X'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310322158', 'host_organization_name': 'Institute of Mathematics of the Czech Academy of Sciences', 'host_organization_lineage': ['https://openalex.org/P4310322158', 'https://openalex.org/P4310314171'], 'host_organization_lineage_names': ['Institute of Mathematics of the Czech Academy of Sciences', 'Czech Academy of Sciences'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'gold', 'oa_url': 'http://dml.cz/bitstream/handle/10338.dmlcz/122871/CasPestMatFys_009-1880-3_2.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5038257216', 'display_name': 'Vilém Jung', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Vilém Jung', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5038257216'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 76}, 'biblio': {'volume': '009', 'issue': '3', 'first_page': '103', 'last_page': '108'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11428', 'display_name': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 0.9017, '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'}}, 'topics': [{'id': 'https://openalex.org/T11428', 'display_name': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 0.9017, '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/supercongruences', 'display_name': 'Supercongruences', 'score': 0.575768}, {'id': 'https://openalex.org/keywords/polylogarithms', 'display_name': 'Polylogarithms', 'score': 0.529843}, {'id': 'https://openalex.org/keywords/ramanujan-type-formulas', 'display_name': 'Ramanujan-Type Formulas', 'score': 0.528184}, {'id': 'https://openalex.org/keywords/number-theory', 'display_name': 'Number Theory', 'score': 0.517416}, {'id': 'https://openalex.org/keywords/bernoulli-number', 'display_name': 'Bernoulli number', 'score': 0.4197706}], 'concepts': [{'id': 'https://openalex.org/C152361515', 'wikidata': 'https://www.wikidata.org/wiki/Q181328', 'display_name': "Bernoulli's principle", 'level': 2, 'score': 0.67326087}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.46190342}, {'id': 'https://openalex.org/C129960964', 'wikidata': 'https://www.wikidata.org/wiki/Q694114', 'display_name': 'Bernoulli number', 'level': 2, 'score': 0.4197706}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.26152942}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.13017601}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.21136/cpmf.1880.122871', 'pdf_url': 'http://dml.cz/bitstream/handle/10338.dmlcz/122871/CasPestMatFys_009-1880-3_2.pdf', 'source': {'id': 'https://openalex.org/S4210208554', 'display_name': 'Časopis pro pěstování matematiky a fysiky', 'issn_l': '1802-114X', 'issn': ['1802-114X'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310322158', 'host_organization_name': 'Institute of Mathematics of the Czech Academy of Sciences', 'host_organization_lineage': ['https://openalex.org/P4310322158', 'https://openalex.org/P4310314171'], 'host_organization_lineage_names': ['Institute of Mathematics of the Czech Academy of Sciences', 'Czech Academy of Sciences'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.21136/cpmf.1880.122871', 'pdf_url': 'http://dml.cz/bitstream/handle/10338.dmlcz/122871/CasPestMatFys_009-1880-3_2.pdf', 'source': {'id': 'https://openalex.org/S4210208554', 'display_name': 'Časopis pro pěstování matematiky a fysiky', 'issn_l': '1802-114X', 'issn': ['1802-114X'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310322158', 'host_organization_name': 'Institute of Mathematics of the Czech Academy of Sciences', 'host_organization_lineage': ['https://openalex.org/P4310322158', 'https://openalex.org/P4310314171'], 'host_organization_lineage_names': ['Institute of Mathematics of the Czech Academy of Sciences', 'Czech Academy of Sciences'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4287167437', 'https://openalex.org/W371897330', 'https://openalex.org/W2902517986', 'https://openalex.org/W2378854820', 'https://openalex.org/W2335881050', 'https://openalex.org/W2158081240', 'https://openalex.org/W2123713498', 'https://openalex.org/W1674853208', 'https://openalex.org/W1626607783', 'https://openalex.org/W15241613'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3048343962', 'counts_by_year': [], 'updated_date': '2024-09-19T09:30:50.749328', 'created_date': '2020-08-13'}