{"id":"https://openalex.org/W4389199379","doi":"https://doi.org/10.1007/978-3-031-47754-6_3","title":"The Unique Chain Rule and\u00a0Its Applications","display_name":"The Unique Chain Rule and\u00a0Its Applications","publication_year":2023,"publication_date":"2023-11-30","ids":{"openalex":"https://openalex.org/W4389199379","doi":"https://doi.org/10.1007/978-3-031-47754-6_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-47754-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-47754-6_3","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/A5005802318","display_name":"Adithya Bhat","orcid":"https://orcid.org/0000-0003-4099-4014"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adithya Bhat","raw_affiliation_strings":["Purdue University, West Lafayette, IN, 47906, USA"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN, 47906, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012403778","display_name":"Akhil Bandarupalli","orcid":"https://orcid.org/0000-0002-9669-5788"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Akhil Bandarupalli","raw_affiliation_strings":["Purdue University, West Lafayette, IN, 47906, USA"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN, 47906, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047310442","display_name":"Saurabh Bagchi","orcid":"https://orcid.org/0000-0002-4239-5632"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saurabh Bagchi","raw_affiliation_strings":["Purdue University, West Lafayette, IN, 47906, USA"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN, 47906, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033338045","display_name":"Aniket Kate","orcid":"https://orcid.org/0000-0003-2246-8416"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aniket Kate","raw_affiliation_strings":["Purdue University, West Lafayette, IN, 47906, USA"],"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, IN, 47906, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074117167","display_name":"Michael K. Reiter","orcid":"https://orcid.org/0000-0001-7007-8274"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael K. Reiter","raw_affiliation_strings":["Duke University, Durham, NC, 27708, USA"],"affiliations":[{"raw_affiliation_string":"Duke University, Durham, NC, 27708, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5005802318"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9446,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81874532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"38","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9950000047683716,"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/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.989799976348877,"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/computer-science","display_name":"Computer science","score":0.8413997888565063},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.609108030796051},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.6085020303726196},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5502217411994934},{"id":"https://openalex.org/keywords/byzantine-fault-tolerance","display_name":"Byzantine fault tolerance","score":0.5263912677764893},{"id":"https://openalex.org/keywords/equivocation","display_name":"Equivocation","score":0.5189404487609863},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4325478672981262},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.4122983515262604},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.28686463832855225},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17007264494895935},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.16938242316246033},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.14032429456710815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09963929653167725}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8413997888565063},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.609108030796051},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.6085020303726196},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5502217411994934},{"id":"https://openalex.org/C168021876","wikidata":"https://www.wikidata.org/wiki/Q1353446","display_name":"Byzantine fault tolerance","level":3,"score":0.5263912677764893},{"id":"https://openalex.org/C17859611","wikidata":"https://www.wikidata.org/wiki/Q10797615","display_name":"Equivocation","level":2,"score":0.5189404487609863},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4325478672981262},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.4122983515262604},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.28686463832855225},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17007264494895935},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.16938242316246033},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.14032429456710815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09963929653167725},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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:10.1007/978-3-031-47754-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-47754-6_3","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":0.7900000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1551814240","https://openalex.org/W2014239329","https://openalex.org/W2106004025","https://openalex.org/W2114579022","https://openalex.org/W2152465173","https://openalex.org/W2795222609","https://openalex.org/W2926580575","https://openalex.org/W2964159515","https://openalex.org/W2969395421","https://openalex.org/W2980108059","https://openalex.org/W3013530784","https://openalex.org/W3015234426","https://openalex.org/W3095928864","https://openalex.org/W3137092842","https://openalex.org/W3151748982","https://openalex.org/W3183732253","https://openalex.org/W3185672164","https://openalex.org/W3212664445","https://openalex.org/W4220853208","https://openalex.org/W4308391463","https://openalex.org/W4312724280"],"related_works":["https://openalex.org/W2884693032","https://openalex.org/W2022034366","https://openalex.org/W2342506563","https://openalex.org/W2992325167","https://openalex.org/W4246965388","https://openalex.org/W2276821839","https://openalex.org/W2075331051","https://openalex.org/W3095899217","https://openalex.org/W4372262739","https://openalex.org/W4302394700"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}