{"id":"https://openalex.org/W2768238295","doi":"https://doi.org/10.1007/978-3-319-70697-9_13","title":"Beyond Hellman\u2019s Time-Memory Trade-Offs with Applications to Proofs of Space","display_name":"Beyond Hellman\u2019s Time-Memory Trade-Offs with Applications to Proofs of Space","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2768238295","doi":"https://doi.org/10.1007/978-3-319-70697-9_13","mag":"2768238295"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-70697-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-70697-9_13","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/A5033903274","display_name":"Hamza Abusalah","orcid":"https://orcid.org/0000-0002-7524-3133"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Hamza Abusalah","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049577191","display_name":"Jo\u00ebl Alwen","orcid":"https://orcid.org/0000-0002-4473-903X"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Jo\u00ebl Alwen","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072820810","display_name":"Bram Cohen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bram Cohen","raw_affiliation_strings":["Chia Network, San Francisco, CA, USA"],"affiliations":[{"raw_affiliation_string":"Chia Network, San Francisco, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075380899","display_name":"Danylo Khilko","orcid":"https://orcid.org/0000-0003-3556-1978"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210149507","display_name":"\u00c9cole des Neurosciences de Paris","ror":"https://ror.org/05re0sm29","country_code":"FR","type":"other","lineage":["https://openalex.org/I39804081","https://openalex.org/I4210149507"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Danylo Khilko","raw_affiliation_strings":["ENS Paris, Paris, France"],"affiliations":[{"raw_affiliation_string":"ENS Paris, Paris, France","institution_ids":["https://openalex.org/I4210149507","https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103200276","display_name":"Krzysztof Pietrzak","orcid":"https://orcid.org/0000-0002-9139-1654"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Krzysztof Pietrzak","raw_affiliation_strings":["Institute of Science and Technology Austria, Klosterneuburg, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Science and Technology Austria, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023147820","display_name":"Leonid Reyzin","orcid":"https://orcid.org/0000-0002-2052-8203"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonid Reyzin","raw_affiliation_strings":["Boston University, Boston, USA"],"affiliations":[{"raw_affiliation_string":"Boston University, Boston, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5033903274"],"corresponding_institution_ids":["https://openalex.org/I157556583"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.2386,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.96132775,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"357","last_page":"379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9966999888420105,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9948999881744385,"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/approx","display_name":"Approx","score":0.7744407653808594},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6169101595878601},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6050729751586914},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.5785251259803772},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5678598284721375},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.49300143122673035},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4707798361778259},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45660239458084106},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.44960030913352966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43550363183021545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4336865544319153},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4288698434829712},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14108401536941528},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.09826192259788513}],"concepts":[{"id":"https://openalex.org/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"score":0.7744407653808594},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6169101595878601},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6050729751586914},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.5785251259803772},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5678598284721375},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.49300143122673035},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4707798361778259},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45660239458084106},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.44960030913352966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43550363183021545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4336865544319153},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4288698434829712},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14108401536941528},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.09826192259788513},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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:10.1007/978-3-319-70697-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-70697-9_13","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":13,"referenced_works":["https://openalex.org/W63310685","https://openalex.org/W1575640061","https://openalex.org/W1601379374","https://openalex.org/W1857473325","https://openalex.org/W1971070826","https://openalex.org/W2012646342","https://openalex.org/W2020306457","https://openalex.org/W2159460804","https://openalex.org/W2166980335","https://openalex.org/W2295804537","https://openalex.org/W2533275618","https://openalex.org/W2951138026","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2073713056","https://openalex.org/W3110702597","https://openalex.org/W2125620709","https://openalex.org/W2110441383","https://openalex.org/W2277483927","https://openalex.org/W1498872724","https://openalex.org/W4233149903","https://openalex.org/W2524540579","https://openalex.org/W2326878701","https://openalex.org/W4293864700"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
