{"id":"https://openalex.org/W2124142183","doi":"https://doi.org/10.1007/s11786-017-0329-x","title":"Persistent Topology of Syntax","display_name":"Persistent Topology of Syntax","publication_year":2017,"publication_date":"2017-12-26","ids":{"openalex":"https://openalex.org/W2124142183","doi":"https://doi.org/10.1007/s11786-017-0329-x","mag":"2124142183"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-017-0329-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-017-0329-x","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"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":"Mathematics in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1507.05134","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083321871","display_name":"Alexander Port","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Port","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081426039","display_name":"Iulia Gheorghita","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Iulia Gheorghita","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037837821","display_name":"Daniel J. Guth","orcid":"https://orcid.org/0000-0003-0937-5282"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Guth","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052361629","display_name":"J. Marshall Clark","orcid":"https://orcid.org/0000-0002-2654-3631"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John M. Clark","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017806376","display_name":"Crystal Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Crystal Liang","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065433029","display_name":"S. P. Venkata Dasu","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shival Dasu","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007011418","display_name":"Matilde Marcolli","orcid":"https://orcid.org/0000-0002-2045-2907"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matilde Marcolli","raw_affiliation_strings":["Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Physics, Mathematics and Astronomy, Caltech, 1200 E. California Blvd, Pasadena, CA, 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Physics, Mathematics, and Astronomy, Caltech, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6373,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.68710723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"12","issue":"1","first_page":"33","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9993000030517578,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9993000030517578,"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/T10086","display_name":"Alzheimer's disease research and treatments","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.7582722902297974},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.6923536062240601},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.4670502245426178},{"id":"https://openalex.org/keywords/singular-homology","display_name":"Singular homology","score":0.4451691210269928},{"id":"https://openalex.org/keywords/phylogenetic-tree","display_name":"Phylogenetic tree","score":0.4273514449596405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3557952642440796},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3311539888381958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29526031017303467},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.27473849058151245},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22942307591438293},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.2290644645690918},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19909608364105225},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.09382149577140808},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08911794424057007}],"concepts":[{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.7582722902297974},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.6923536062240601},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.4670502245426178},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.4451691210269928},{"id":"https://openalex.org/C193252679","wikidata":"https://www.wikidata.org/wiki/Q242125","display_name":"Phylogenetic tree","level":3,"score":0.4273514449596405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3557952642440796},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3311539888381958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29526031017303467},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.27473849058151245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22942307591438293},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.2290644645690918},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19909608364105225},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.09382149577140808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08911794424057007}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11786-017-0329-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-017-0329-x","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"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":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.05134","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05134","pdf_url":"https://arxiv.org/pdf/1507.05134","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2124142183","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1507.05134.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:authors.library.caltech.edu:79011","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/79011/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.696.3524","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.3524","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.its.caltech.edu/%7Ematilde/PersistentSyntax.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1507.05134","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1507.05134","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.05134","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05134","pdf_url":"https://arxiv.org/pdf/1507.05134","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W239563548","https://openalex.org/W366915621","https://openalex.org/W1584154100","https://openalex.org/W1586060904","https://openalex.org/W1603122179","https://openalex.org/W1983801040","https://openalex.org/W1988226737","https://openalex.org/W1991566301","https://openalex.org/W2026940923","https://openalex.org/W2104339857","https://openalex.org/W2104874563","https://openalex.org/W2120672285","https://openalex.org/W2144044408","https://openalex.org/W2317530171","https://openalex.org/W2528389986","https://openalex.org/W2745407705","https://openalex.org/W2963170557","https://openalex.org/W2963923558","https://openalex.org/W3140579943","https://openalex.org/W6612480124"],"related_works":["https://openalex.org/W774877387","https://openalex.org/W2952182738","https://openalex.org/W2901921701","https://openalex.org/W2765989171"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
