{"id":"https://openalex.org/W7169856058","doi":"https://doi.org/10.1007/978-3-032-32560-0_9","title":"FlexProofs: A Vector Commitment with\u00a0Flexible Linear Time for\u00a0Computing All Proofs","display_name":"FlexProofs: A Vector Commitment with\u00a0Flexible Linear Time for\u00a0Computing All Proofs","publication_year":2026,"publication_date":"2026-07-21","ids":{"openalex":"https://openalex.org/W7169856058","doi":"https://doi.org/10.1007/978-3-032-32560-0_9"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-32560-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-32560-0_9","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":"conference-paper","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/A5115588071","display_name":"Jing Liu","orcid":"https://orcid.org/0009-0009-3229-2291"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Liu","raw_affiliation_strings":["ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032937625","display_name":"Liang Feng Zhang","orcid":"https://orcid.org/0000-0003-3543-1524"},"institutions":[{"id":"https://openalex.org/I30809798","display_name":"ShanghaiTech University","ror":"https://ror.org/030bhh786","country_code":"CN","type":"education","lineage":["https://openalex.org/I30809798"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liang Feng Zhang","raw_affiliation_strings":["ShanghaiTech University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ShanghaiTech University, Shanghai, China","institution_ids":["https://openalex.org/I30809798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032937625"],"corresponding_institution_ids":["https://openalex.org/I30809798"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.9071000218391418},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8296999931335449},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.7434999942779541},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.7095999717712402},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.5550000071525574},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5338000059127808}],"concepts":[{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.9071000218391418},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8296999931335449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7825000286102295},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.7434999942779541},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.7095999717712402},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.5550000071525574},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5338000059127808},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.474700003862381},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4262000024318695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40149998664855957},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.3447999954223633},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2833999991416931},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.2563999891281128}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-32560-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-32560-0_9","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W2137705","https://openalex.org/W7678451","https://openalex.org/W174039250","https://openalex.org/W866281365","https://openalex.org/W1599026900","https://openalex.org/W1600255172","https://openalex.org/W1728441211","https://openalex.org/W1909324101","https://openalex.org/W1997820219","https://openalex.org/W2013689473","https://openalex.org/W2043007983","https://openalex.org/W2052267638","https://openalex.org/W2057636642","https://openalex.org/W2067596507","https://openalex.org/W2080132708","https://openalex.org/W2136936712","https://openalex.org/W2141420453","https://openalex.org/W2145360759","https://openalex.org/W2168970529","https://openalex.org/W2496543269","https://openalex.org/W2535060913","https://openalex.org/W2536319456","https://openalex.org/W2883585522","https://openalex.org/W2954625838","https://openalex.org/W2963540401","https://openalex.org/W2967946631","https://openalex.org/W2969207949","https://openalex.org/W2989230924","https://openalex.org/W3010088852","https://openalex.org/W3015343560","https://openalex.org/W3031891667","https://openalex.org/W3088573320","https://openalex.org/W3105031047","https://openalex.org/W3106674001","https://openalex.org/W3109094166","https://openalex.org/W3112756597","https://openalex.org/W3138597937","https://openalex.org/W3192802957","https://openalex.org/W3201715140","https://openalex.org/W3209623239","https://openalex.org/W3213013974","https://openalex.org/W3213340422","https://openalex.org/W4200435041","https://openalex.org/W4224013687","https://openalex.org/W4226047321","https://openalex.org/W4294698944","https://openalex.org/W4308644259","https://openalex.org/W4317928254","https://openalex.org/W4317928263","https://openalex.org/W4365806595","https://openalex.org/W4365807618","https://openalex.org/W4365808257","https://openalex.org/W4389857064","https://openalex.org/W4396691184","https://openalex.org/W4401517111","https://openalex.org/W4402264553","https://openalex.org/W4405181423","https://openalex.org/W4411337266"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T05:56:39.545243","created_date":"2026-07-22T00:00:00"}
