{"id":"https://openalex.org/W1858775609","doi":"https://doi.org/10.1007/bfb0016291","title":"Proofs that Release Minimum Knowledge","display_name":"Proofs that Release Minimum Knowledge","publication_year":2005,"publication_date":"2005-11-13","ids":{"openalex":"https://openalex.org/W1858775609","doi":"https://doi.org/10.1007/bfb0016291","mag":"1858775609"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0016291","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0016291","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013698877","display_name":"Oded Goldreich","orcid":"https://orcid.org/0000-0002-4329-135X"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Oded Goldreich","raw_affiliation_strings":["Computer Science Dept., Technion, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Computer Science Dept., Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030198184","display_name":"Silvio Micali","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Silvio Micali","raw_affiliation_strings":["Laboratory for Computer Science, MIT, 02139, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Computer Science, MIT, 02139, Cambridge, MA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111598462","display_name":"Avi Wigderson","orcid":null},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]},{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Avi Wigderson","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Hebrew University, Israel","Mathematical Sciences Research Institute, 94720, Berkeley, CA"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Hebrew University, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Mathematical Sciences Research Institute, 94720, Berkeley, CA","institution_ids":["https://openalex.org/I73544541"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013698877"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2649,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59064327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"639","last_page":"650"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7481454610824585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5080738067626953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3267214894294739},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32588082551956177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09264412522315979},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05714493989944458}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7481454610824585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5080738067626953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3267214894294739},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32588082551956177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09264412522315979},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05714493989944458},{"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":[{"id":"doi:10.1007/bfb0016291","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0016291","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W340987026","https://openalex.org/W1655990431","https://openalex.org/W1997820219","https://openalex.org/W2011039300","https://openalex.org/W2036265926","https://openalex.org/W2061106457","https://openalex.org/W2066356146","https://openalex.org/W2093297089","https://openalex.org/W2096390054","https://openalex.org/W2107324709","https://openalex.org/W2141420453","https://openalex.org/W2144752539","https://openalex.org/W2401610261","https://openalex.org/W3150645827","https://openalex.org/W4285719527","https://openalex.org/W6806933155"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2808944898","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W1996614773","https://openalex.org/W4387820098","https://openalex.org/W2576399385","https://openalex.org/W1979597421"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}