Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2022001053', 'doi': 'https://doi.org/10.2140/pjm.1952.2.127', 'title': 'Some theorems on Bernoulli numbers of higher order', 'display_name': 'Some theorems on Bernoulli numbers of higher order', 'publication_year': 1952, 'publication_date': '1952-06-01', 'ids': {'openalex': 'https://openalex.org/W2022001053', 'doi': 'https://doi.org/10.2140/pjm.1952.2.127', 'mag': '2022001053'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.2140/pjm.1952.2.127', 'pdf_url': 'http://msp.org/pjm/1952/2-2/pjm-v2-n2-p01-s.pdf', 'source': {'id': 'https://openalex.org/S130774151', 'display_name': 'Pacific Journal of Mathematics', 'issn_l': '0030-8730', 'issn': ['0030-8730', '1945-5844'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320446', 'host_organization_name': 'Mathematical Sciences Publishers', 'host_organization_lineage': ['https://openalex.org/P4310320446'], 'host_organization_lineage_names': ['Mathematical Sciences Publishers'], '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': 'bronze', 'oa_url': 'http://msp.org/pjm/1952/2-2/pjm-v2-n2-p01-s.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5072073027', 'display_name': 'L. Carlitz', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I122411786', 'display_name': 'California Institute of Technology', 'ror': 'https://ror.org/05dxps055', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I122411786']}, {'id': 'https://openalex.org/I161318765', 'display_name': 'University of California, Los Angeles', 'ror': 'https://ror.org/046rm7j60', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161318765']}, {'id': 'https://openalex.org/I1279808887', 'display_name': 'American National Standards Institute', 'ror': 'https://ror.org/02ttqft70', 'country_code': 'US', 'type': 'nonprofit', 'lineage': ['https://openalex.org/I1279808887']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'L. Carlitz', 'raw_affiliation_strings': ['Berkeley, California. UNIVERSITY OF CALIFORNIA PRESS . BERKELEY AND LOS ANGELES', 'DUKE UNIVERSITY', 'UNIVERSITY OF BRITISH COLUMBIA UNIVERSITY OF SOUTHERN CALIFORNIA CALIFORNIA INSTITUTE OF TECHNOLOGY STANFORD UNIVERSITY UNIVERSITY OF CALIFORNIA, BERKELEY WASHINGTON STATE COLLEGE UNIVERSITY OF CALIFORNIA. DAVIS UNIVERSITY OF WASHINGTON UNIVERSITY OF CALIFORNIA, LOS ANGELES • UNIVERSITY OF CALIFORNIA, SANTA BARBARA AMERICAN MATHEMATICAL SOCIETY OREGON STATE COLLEGE NATIONAL BUREAU OF STANDARDS,', 'UNIVERSITY OF OREGON INSTITUTE FOR NUMERICAL', 'University of California California Institute of Technology Berkeley 4, California Pasadena 4, California', 'University of California Los Angeles 24, California', 'University of California Press, Berkeley 4, California.'], 'affiliations': [{'raw_affiliation_string': 'University of California California Institute of Technology Berkeley 4, California Pasadena 4, California', 'institution_ids': ['https://openalex.org/I122411786']}, {'raw_affiliation_string': 'University of California Los Angeles 24, California', 'institution_ids': ['https://openalex.org/I161318765']}, {'raw_affiliation_string': 'UNIVERSITY OF BRITISH COLUMBIA UNIVERSITY OF SOUTHERN CALIFORNIA CALIFORNIA INSTITUTE OF TECHNOLOGY STANFORD UNIVERSITY UNIVERSITY OF CALIFORNIA, BERKELEY WASHINGTON STATE COLLEGE UNIVERSITY OF CALIFORNIA. DAVIS UNIVERSITY OF WASHINGTON UNIVERSITY OF CALIFORNIA, LOS ANGELES • UNIVERSITY OF CALIFORNIA, SANTA BARBARA AMERICAN MATHEMATICAL SOCIETY OREGON STATE COLLEGE NATIONAL BUREAU OF STANDARDS,', 'institution_ids': ['https://openalex.org/I1279808887']}, {'raw_affiliation_string': 'DUKE UNIVERSITY', 'institution_ids': []}, {'raw_affiliation_string': 'UNIVERSITY OF OREGON INSTITUTE FOR NUMERICAL', 'institution_ids': []}, {'raw_affiliation_string': 'University of California Press, Berkeley 4, California.', 'institution_ids': []}, {'raw_affiliation_string': 'Berkeley, California. UNIVERSITY OF CALIFORNIA PRESS . BERKELEY AND LOS ANGELES', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5072073027'], 'corresponding_institution_ids': ['https://openalex.org/I122411786', 'https://openalex.org/I161318765', 'https://openalex.org/I1279808887'], 'apc_list': None, 'apc_paid': None, 'fwci': 13.396, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 42, 'citation_normalized_percentile': {'value': 0.859539, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '2', 'issue': '2', 'first_page': '127', 'last_page': '139'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11191', 'display_name': 'Orthogonal Polynomials', 'score': 0.8584, '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'}}, 'topics': [{'id': 'https://openalex.org/T11191', 'display_name': 'Orthogonal Polynomials', 'score': 0.8584, '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'}}, {'id': 'https://openalex.org/T11428', 'display_name': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 0.8101, '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'}}, {'id': 'https://openalex.org/T11245', 'display_name': 'Isogeometric Analysis in Computational Engineering', 'score': 0.7148, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/number-theory', 'display_name': 'Number Theory', 'score': 0.610596}, {'id': 'https://openalex.org/keywords/polylogarithms', 'display_name': 'Polylogarithms', 'score': 0.594639}, {'id': 'https://openalex.org/keywords/matrix-valued-polynomials', 'display_name': 'Matrix Valued Polynomials', 'score': 0.581301}, {'id': 'https://openalex.org/keywords/orthogonal-polynomials', 'display_name': 'Orthogonal Polynomials', 'score': 0.580391}, {'id': 'https://openalex.org/keywords/supercongruences', 'display_name': 'Supercongruences', 'score': 0.565084}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8751621}, {'id': 'https://openalex.org/C152361515', 'wikidata': 'https://www.wikidata.org/wiki/Q181328', 'display_name': "Bernoulli's principle", 'level': 2, 'score': 0.7660758}, {'id': 'https://openalex.org/C182306322', 'wikidata': 'https://www.wikidata.org/wiki/Q1779371', 'display_name': 'Order (exchange)', 'level': 2, 'score': 0.6171199}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.32442224}, {'id': 'https://openalex.org/C144133560', 'wikidata': 'https://www.wikidata.org/wiki/Q4830453', 'display_name': 'Business', 'level': 0, 'score': 0.05489236}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.039604545}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.03444156}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.2140/pjm.1952.2.127', 'pdf_url': 'http://msp.org/pjm/1952/2-2/pjm-v2-n2-p01-s.pdf', 'source': {'id': 'https://openalex.org/S130774151', 'display_name': 'Pacific Journal of Mathematics', 'issn_l': '0030-8730', 'issn': ['0030-8730', '1945-5844'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320446', 'host_organization_name': 'Mathematical Sciences Publishers', 'host_organization_lineage': ['https://openalex.org/P4310320446'], 'host_organization_lineage_names': ['Mathematical Sciences Publishers'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://projecteuclid.org/euclid.pjm/1103051860', 'pdf_url': 'https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-2/issue-2/Some-theorems-on-Bernoulli-numbers-of-higher-order/pjm/1103051860.pdf', 'source': {'id': 'https://openalex.org/S4306400787', 'display_name': 'Project Euclid (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}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.2140/pjm.1952.2.127', 'pdf_url': 'http://msp.org/pjm/1952/2-2/pjm-v2-n2-p01-s.pdf', 'source': {'id': 'https://openalex.org/S130774151', 'display_name': 'Pacific Journal of Mathematics', 'issn_l': '0030-8730', 'issn': ['0030-8730', '1945-5844'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320446', 'host_organization_name': 'Mathematical Sciences Publishers', 'host_organization_lineage': ['https://openalex.org/P4310320446'], 'host_organization_lineage_names': ['Mathematical Sciences Publishers'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 15, 'referenced_works': ['https://openalex.org/W1491771395', 'https://openalex.org/W1662706126', 'https://openalex.org/W1985180016', 'https://openalex.org/W1997120563', 'https://openalex.org/W2000956926', 'https://openalex.org/W2018324589', 'https://openalex.org/W2019611503', 'https://openalex.org/W2022001053', 'https://openalex.org/W2026095318', 'https://openalex.org/W2031395258', 'https://openalex.org/W2057106040', 'https://openalex.org/W2058357792', 'https://openalex.org/W2059605832', 'https://openalex.org/W2060834173', 'https://openalex.org/W2066937812'], 'related_works': ['https://openalex.org/W4245490552', 'https://openalex.org/W4238204885', 'https://openalex.org/W3002753104', 'https://openalex.org/W2142036596', 'https://openalex.org/W2077600819', 'https://openalex.org/W2061531152', 'https://openalex.org/W2042127053', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421', 'https://openalex.org/W1587224694'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2022001053', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 3}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 4}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 3}, {'year': 2015, 'cited_by_count': 1}], 'updated_date': '2024-09-17T15:26:43.056042', 'created_date': '2016-06-24'}