{"id":"https://openalex.org/W7204809396","doi":"https://doi.org/10.5281/zenodo.22185021","title":"De Euclides a Berggren: las ternas pitag\u00f3ricas como puente entre la teor\u00eda de n\u00fameros y educaci\u00f3n matem\u00e1tica","display_name":"De Euclides a Berggren: las ternas pitag\u00f3ricas como puente entre la teor\u00eda de n\u00fameros y educaci\u00f3n matem\u00e1tica","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W7204809396","doi":"https://doi.org/10.5281/zenodo.22185021"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22185021","doi":"https://doi.org/10.5281/zenodo.22185021","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22185021","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.22185021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041202434","display_name":"Sergio Leal Ram\u00edrez","orcid":"https://orcid.org/0000-0002-7701-2910","observed_orcids":["https://orcid.org/0000-0002-7701-2910"]},"institutions":[{"id":"https://openalex.org/I4210141708","display_name":"Universidad de Ciencias Pedag\u00f3gicas Enrique Jos\u00e9 Varona","ror":"https://ror.org/044avja84","country_code":"CU","type":"education","lineage":["https://openalex.org/I4210141708"]}],"countries":["CU"],"is_corresponding":true,"raw_author_name":"Leal Ramirez, Sergio","raw_affiliation_strings":["Universidad de Ciencias Pedag\u00f3gicas Enrique Jos\u00e9 Varona"],"raw_orcid":"https://orcid.org/0000-0002-7701-2910","affiliations":[{"raw_affiliation_string":"Universidad de Ciencias Pedag\u00f3gicas Enrique Jos\u00e9 Varona","institution_ids":["https://openalex.org/I4210141708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041202434"],"corresponding_institution_ids":["https://openalex.org/I4210141708"],"apc_list":null,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.42750000953674316,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.42750000953674316,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.39649999141693115,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.10589999705553055,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/pythagorean-triples","display_name":"Pythagorean triples","score":1.0},{"id":"https://openalex.org/keywords/primitive-pythagorean-triples","display_name":"primitive Pythagorean triples","score":0.925000011920929},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.7149999737739563},{"id":"https://openalex.org/keywords/algebraic-structures","display_name":"algebraic structures","score":0.6830000281333923},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"mathematics education","score":0.6209999918937683},{"id":"https://openalex.org/keywords/history-of-mathematics","display_name":"history of mathematics","score":0.6320000290870667}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5045999884605408},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4803999960422516},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.461899995803833},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.42989999055862427},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4235999882221222},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.41830000281333923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4009000062942505},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.3709999918937683},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.30550000071525574},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2953000068664551},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.28760001063346863},{"id":"https://openalex.org/C10784197","wikidata":"https://www.wikidata.org/wiki/Q233858","display_name":"Non-Euclidean geometry","level":3,"score":0.27630001306533813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2721000015735626},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22185021","doi":"https://doi.org/10.5281/zenodo.22185021","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22185021","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.22185022","doi":"https://doi.org/10.5281/zenodo.22185022","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22185022","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22185021","doi":"https://doi.org/10.5281/zenodo.22185021","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22185021","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2132706171","https://openalex.org/W4401189681","https://openalex.org/W4416185770","https://openalex.org/W2973773472","https://openalex.org/W2921647478","https://openalex.org/W7163990633","https://openalex.org/W4406944371","https://openalex.org/W7133808059","https://openalex.org/W6936168291","https://openalex.org/W4396508731"],"abstract_inverted_index":{"Pythagorean":[0],"triples":[1,50],"constitute":[2],"one":[3],"of":[4,21,33,49,70],"the":[5,43,47,68],"oldest":[6],"and":[7,27,42,62],"most":[8],"fascinating":[9],"mathematical":[10],"objects":[11],"in":[12,59],"number":[13],"theory.":[14],"This":[15],"work":[16],"presents":[17],"a":[18,64,74],"comprehensive":[19],"review":[20],"their":[22,39],"theoretical":[23],"foundations,":[24],"generation":[25],"methods,":[26],"structural":[28],"properties.":[29],"The":[30,53],"Euclidean":[31],"characterization":[32],"primitive":[34],"triples,":[35],"contemporary":[36],"approaches":[37],"for":[38,67],"complete":[40],"generation,":[41],"algebraic":[44],"structures":[45],"underlying":[46],"set":[48],"are":[51],"examined.":[52],"monograph":[54],"is":[55],"aimed":[56],"at":[57],"researchers":[58],"mathematics":[60],"education":[61],"offers":[63],"solid":[65],"foundation":[66],"teaching":[69],"this":[71],"topic":[72],"from":[73],"research":[75],"perspective.":[76]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-01T00:00:00"}
