{"id":"https://openalex.org/W7224089537","doi":"https://doi.org/10.5281/zenodo.23719926","title":"The Khanh Standard of Mathematical Excellence: From Compelled Acceptance to Genuine Understanding","display_name":"The Khanh Standard of Mathematical Excellence: From Compelled Acceptance to Genuine Understanding","publication_year":2026,"publication_date":"2026-10-28","ids":{"openalex":"https://openalex.org/W7224089537","doi":"https://doi.org/10.5281/zenodo.23719926"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23719926","doi":"https://doi.org/10.5281/zenodo.23719926","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23719926","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","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23719926","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5141120735","display_name":"Kim Khanh Nguyen","orcid":"https://orcid.org/0009-0006-9191-1441","observed_orcids":["https://orcid.org/0009-0006-9191-1441"]},"institutions":[{"id":"https://openalex.org/I4210088746","display_name":"University of Khanh Hoa","ror":"https://ror.org/00a4nhr72","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210088746"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Nguy\u1ec5n Kim, Kh\u00e1nh","raw_affiliation_strings":["Kh\u00e1nh University"],"raw_orcid":"https://orcid.org/0009-0006-9191-1441","affiliations":[{"raw_affiliation_string":"Kh\u00e1nh University","institution_ids":["https://openalex.org/I4210088746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5141120735"],"corresponding_institution_ids":["https://openalex.org/I4210088746"],"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/T12170","display_name":"History and Theory of Mathematics","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.010700000450015068,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12648","display_name":"Academic Writing and Publishing","score":0.00279999990016222,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-exposition","display_name":"mathematical exposition","score":0.6759999990463257},{"id":"https://openalex.org/keywords/mathematical-understanding","display_name":"mathematical understanding","score":0.8479999899864197},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"mathematical proof","score":0.492000013589859},{"id":"https://openalex.org/keywords/proof-by-contradiction","display_name":"reductio ad absurdum","score":0.6570000052452087},{"id":"https://openalex.org/keywords/computer-assisted-proof","display_name":"computer-assisted proof","score":0.7950000166893005},{"id":"https://openalex.org/keywords/mathematical-beauty","display_name":"mathematical beauty","score":0.6970000267028809},{"id":"https://openalex.org/keywords/philosophy-of-mathematics","display_name":"philosophy of mathematics","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C2778449503","wikidata":"https://www.wikidata.org/wiki/Q329777","display_name":"Appeal","level":2,"score":0.755299985408783},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.6380000114440918},{"id":"https://openalex.org/C521332185","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogy","level":2,"score":0.6352999806404114},{"id":"https://openalex.org/C2780233690","wikidata":"https://www.wikidata.org/wiki/Q535347","display_name":"Transparency (behavior)","level":2,"score":0.6176000237464905},{"id":"https://openalex.org/C547195049","wikidata":"https://www.wikidata.org/wiki/Q1725664","display_name":"Terminology","level":2,"score":0.6025000214576721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42890000343322754},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.4025000035762787},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3801000118255615},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3765000104904175},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.37610000371932983},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.375900000333786},{"id":"https://openalex.org/C2777352838","wikidata":"https://www.wikidata.org/wiki/Q5419420","display_name":"Excellence","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C55587333","wikidata":"https://www.wikidata.org/wiki/Q1133029","display_name":"Engineering ethics","level":1,"score":0.36640000343322754},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C2780506305","wikidata":"https://www.wikidata.org/wiki/Q3909934","display_name":"Mathematical practice","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C2777152325","wikidata":"https://www.wikidata.org/wiki/Q108163","display_name":"Proposition","level":2,"score":0.33160001039505005},{"id":"https://openalex.org/C190253527","wikidata":"https://www.wikidata.org/wiki/Q295354","display_name":"Law and economics","level":1,"score":0.31369999051094055},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.2791999876499176},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23719926","doi":"https://doi.org/10.5281/zenodo.23719926","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23719926","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.23719927","doi":"https://doi.org/10.5281/zenodo.23719927","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23719927","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.23719926","doi":"https://doi.org/10.5281/zenodo.23719926","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23719926","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4388022776","https://openalex.org/W7128152814","https://openalex.org/W7083441515","https://openalex.org/W2737890295","https://openalex.org/W4387407531","https://openalex.org/W2787105917","https://openalex.org/W7221866113","https://openalex.org/W2489409341","https://openalex.org/W4401961152","https://openalex.org/W6987799508"],"abstract_inverted_index":{"This":[0,140],"conceptual":[1],"essay":[2,71],"introduces":[3],"the":[4,54,110,117,120,196],"Khanh":[5,174],"Standard":[6],"of":[7,53,58,119],"Mathematical":[8],"Excellence,":[9],"an":[10,155,177],"aspirational":[11],"framework":[12,45,171],"for":[13,137],"mathematical":[14,24,96,157,163],"creation":[15],"and":[16,66,93,115,129,145,194],"exposition.":[17],"Its":[18],"central":[19],"idea":[20],"is":[21,142,168],"that":[22,95,132],"a":[23,88,143,161,169],"work":[25,141],"should":[26,35,98],"not":[27,73,151,176],"merely":[28],"compel":[29],"acceptance":[30],"through":[31],"valid":[32],"reasoning;":[33],"it":[34,85],"also":[36,125],"help":[37],"readers":[38],"understand":[39],"why":[40],"its":[41],"conclusion":[42,89],"holds.":[43],"The":[44,70,123,165],"proposes":[46],"five":[47],"guiding":[48],"criteria:":[49],"non-negotiable":[50],"correctness,":[51,127],"revelation":[52],"decisive":[55],"structure,":[56],"economy":[57],"ideas":[59],"rather":[60],"than":[61],"mere":[62],"brevity,":[63],"transferable":[64],"understanding,":[65,128],"transparency":[67],"about":[68],"limitations.":[69],"does":[72,150],"reject":[74],"proof":[75],"by":[76],"contradiction,":[77],"exhaustive":[78],"case":[79],"analysis,":[80],"or":[81,159],"computer-assisted":[82],"proof.":[83,164],"Instead,":[84],"distinguishes":[86,126],"establishing":[87],"from":[90,107],"illuminating":[91],"it,":[92],"argues":[94],"excellence":[97],"aspire":[99],"to":[100,153],"unite":[101],"both":[102],"achievements.":[103],"A":[104],"playful":[105],"analogy":[106],"love":[108],"illustrates":[109],"difference":[111],"between":[112],"eliminating":[113],"alternatives":[114],"revealing":[116],"appeal":[118,134],"chosen":[121],"conclusion.":[122],"discussion":[124],"beauty,":[130],"emphasizing":[131],"aesthetic":[133],"never":[135],"substitutes":[136],"logical":[138],"validity.":[139],"philosophical":[144],"methodological":[146],"position":[147],"essay.":[148],"It":[149],"claim":[152],"resolve":[154],"open":[156],"problem":[158],"present":[160],"new":[162],"proposed":[166],"terminology":[167],"personal":[170],"developed":[172],"under":[173],"Mathematics,":[175],"established":[178],"classification.":[179],"Author:":[180],"Nguyen":[181],"Kim":[182],"KhanhKhanh":[183],"Mathematics28":[184],"October":[185],"2026":[186],"AI":[187],"assistance":[188],"was":[189],"used":[190],"in":[191],"organizing,":[192],"translating,":[193],"wording":[195],"manuscript.":[197]},"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2026-10-29T00:00:00"}
