{"id":"https://openalex.org/W2061595984","doi":"https://doi.org/10.1007/s00037-014-0080-5","title":"Combinatorial PCPs with Efficient Verifiers","display_name":"Combinatorial PCPs with Efficient Verifiers","publication_year":2014,"publication_date":"2014-04-02","ids":{"openalex":"https://openalex.org/W2061595984","doi":"https://doi.org/10.1007/s00037-014-0080-5","mag":"2061595984"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-014-0080-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-014-0080-5","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","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/A5071686980","display_name":"Or Meir","orcid":"https://orcid.org/0000-0001-5031-0750"},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Or Meir","raw_affiliation_strings":["School of Mathematics, Institute for Advanced Study, Princeton, NJ, 08540, USA","School of Mathematics, Institute for Advanced Study, Princeton, USA 08540#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study, Princeton, NJ, 08540, USA","institution_ids":["https://openalex.org/I40036882"]},{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study, Princeton, USA 08540#TAB#","institution_ids":["https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071686980"],"corresponding_institution_ids":["https://openalex.org/I40036882"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.735,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73036143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"3","first_page":"355","last_page":"478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9986000061035156,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/combinatorial-proof","display_name":"Combinatorial proof","score":0.9100547432899475},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7415086030960083},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6214168071746826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.619016170501709},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.5508192777633667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5402097702026367},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4046567678451538}],"concepts":[{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.9100547432899475},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7415086030960083},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6214168071746826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.619016170501709},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.5508192777633667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5402097702026367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4046567678451538},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00037-014-0080-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-014-0080-5","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W32262330","https://openalex.org/W1579088726","https://openalex.org/W1584670745","https://openalex.org/W1591344124","https://openalex.org/W1606480398","https://openalex.org/W1970278864","https://openalex.org/W2019578639","https://openalex.org/W2029859729","https://openalex.org/W2038691311","https://openalex.org/W2044199052","https://openalex.org/W2053086236","https://openalex.org/W2061595984","https://openalex.org/W2087900794","https://openalex.org/W2097206148","https://openalex.org/W2097755092","https://openalex.org/W2135393523","https://openalex.org/W2140797111","https://openalex.org/W2146555867","https://openalex.org/W2148352980","https://openalex.org/W2153825963","https://openalex.org/W2396415655","https://openalex.org/W3149588634","https://openalex.org/W4256317935"],"related_works":["https://openalex.org/W3157478331","https://openalex.org/W3173957725","https://openalex.org/W3153156984","https://openalex.org/W2403422998","https://openalex.org/W2999935146","https://openalex.org/W2130523901","https://openalex.org/W2396415655","https://openalex.org/W2164606052","https://openalex.org/W2294800560","https://openalex.org/W4297691964"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}