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A longer candidate (10.3836/tjm/1270133181.url:https://doi.org/10.3836/tjm/1270133181) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detected_doi":"10.3836/tjm/1270133181.url:https://doi.org/10.3836/tjm/1270133181","detected_arxiv_id":null,"ref_index":46,"audited_at":"2026-05-20T03:33:49.290030Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1090/s1088-4165-08-00336-1.url:https://doi.org/10.1090/s1088-4165-08-00336-1' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","detected_doi":"10.1090/s1088-4165-08-00336-1.url:https://doi.org/10.1090/s1088-4165-08-00336-1","detected_arxiv_id":null,"ref_index":52,"audited_at":"2026-05-20T03:33:49.290030Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.2307/1990961.url:https://doi.org/10.2307/1990961' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. 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