{"schema":"https://pith.science/schemas/pith-integrity/v1.json","pith_number":"2607.20397","arxiv_id":"2607.20397","integrity":{"available":true,"endpoint":"/pith/2607.20397/integrity.json","summary":{"critical":5,"advisory":0,"informational":0,"by_detector":{"doi_compliance":{"total":5,"critical":5,"advisory":0,"informational":0}}},"clean":false,"detectors_run":[{"name":"ai_meta_artifact","version":"1.0.0","status":"skipped","ran_at":"2026-08-06T07:09:19.366100Z","findings_count":0},{"name":"doi_title_agreement","version":"1.0.0","status":"completed","ran_at":"2026-08-03T12:08:48.382847Z","findings_count":0},{"name":"doi_compliance","version":"1.1.0","status":"completed","ran_at":"2026-08-03T10:39:43.695118Z","findings_count":5},{"name":"claim_evidence","version":"1.0.0","status":"completed","ran_at":"2026-07-29T18:11:10.582633Z","findings_count":0},{"name":"external_links","version":"1.0.0","status":"completed","ran_at":"2026-07-23T17:34:23.001737Z","findings_count":0},{"name":"citation_quote_validity","version":"0.1.0","status":"skipped","ran_at":"2026-07-23T01:57:26.304717Z","findings_count":0},{"name":"shingle_duplication","version":"0.1.0","status":"skipped","ran_at":"2026-07-23T01:53:53.274036Z","findings_count":0},{"name":"cited_work_retraction","version":"1.0.0","status":"completed","ran_at":"2026-07-23T01:52:32.082218Z","findings_count":0}],"findings":[{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1007/978-3-642-51438-8(cit' 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":"10.1007/978-3-642-51438-8(cit","detected_arxiv_id":null,"ref_index":21,"audited_at":"2026-08-01T10:18:17.152367Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1007/978-1-4612-0853-2(cit' 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":"10.1007/978-1-4612-0853-2(cit","detected_arxiv_id":null,"ref_index":110,"audited_at":"2026-08-01T10:18:17.152367Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1090/s0002-9947-96-01649-2(cit' 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/s0002-9947-96-01649-2(cit","detected_arxiv_id":null,"ref_index":254,"audited_at":"2026-08-01T10:18:17.152367Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1007/978-3-662-06307-1(cit' 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":"10.1007/978-3-662-06307-1(cit","detected_arxiv_id":null,"ref_index":302,"audited_at":"2026-08-01T10:18:17.152367Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1090/conm/832/16612(cit' 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/conm/832/16612(cit","detected_arxiv_id":null,"ref_index":832,"audited_at":"2026-08-01T10:18:17.152367Z"}],"snapshot_sha256":"5d44c1762fe4fda9922928693b1743291d8ade976894edf5d764ba264f597909"},"events":[{"event_id":15594,"event_type":"pith.integrity.v1","payload_sha256":"4b1af20b89158d186060df5a6a0ed175d5e4cce316a1f248f17a0e9125a24739","signature_b64":"yAe6er2VZ/SSPq8NEXbKllUD6piUbxnJqBySCiRFgN1VUHNNcoWSpcN3qAd/lg29ppFLqS5iLUpA7iCrfTUxCg==","signing_key_id":"pith-v1-2026-05","created_at":"2026-08-01T10:18:34.531082+00:00","payload":{"note":"Identifier '10.1090/conm/832/16612(cit' 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.","snippet":"Contemp. Math. Amer. Math. Soc., [Providence], RI, 2026, pp. 175–209.url:https://doi.org/ 10.1090/conm/832/16612(cit. on pp. 3, 4, 15, 16). University of Pisa, Department of Mathematics, Largo Bruno Pontecor vo 5, Pisa Email address:luca.ma","arxiv_id":"2607.20397","detector":"doi_compliance","evidence":{"doi":"10.1090/conm/832/16612(cit","arxiv_id":null,"ref_index":832,"raw_excerpt":"Contemp. Math. Amer. Math. Soc., [Providence], RI, 2026, pp. 175–209.url:https://doi.org/ 10.1090/conm/832/16612(cit. on pp. 3, 4, 15, 16). University of Pisa, Department of Mathematics, Largo Bruno Pontecor vo 5, Pisa Email address:luca.mauri@phd.unipi.it","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":832,"audited_at":"2026-08-01T10:18:17.152367Z","event_type":"pith.integrity.v1","detected_doi":"10.1090/conm/832/16612(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"0460727ae1be4d51eba40a43a78792c3f01bb37c6b69a9d409741ad1c4a1bc71","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":15593,"event_type":"pith.integrity.v1","payload_sha256":"76fd3f15e479898843d555f281060ad0c62ee8994261667af1d816ebe02ff2d1","signature_b64":"97PJjJLquOeoxGTI+YM9fK4GRKffdM3MojcVykEqZAFQpAp/rD+WCqFiKPup0D84bV8ShrRkB+AKXRS+w2zmBg==","signing_key_id":"pith-v1-2026-05","created_at":"2026-08-01T10:18:34.092466+00:00","payload":{"note":"Identifier '10.1007/978-3-662-06307-1(cit' 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.","snippet":"Grundlehren der mathematischen Wissenschaften [Fundamental Princi- ples of Mathematical Sciences]. Springer-Verlag, Berlin, 2004, pp. xii+635.url: https://doi.org/10.1007/978-3-662-06307-1(cit. on p. 3). [BLR90] Siegfried Bosch, Werner Lütk","arxiv_id":"2607.20397","detector":"doi_compliance","evidence":{"doi":"10.1007/978-3-662-06307-1(cit","arxiv_id":null,"ref_index":302,"raw_excerpt":"Grundlehren der mathematischen Wissenschaften [Fundamental Princi- ples of Mathematical Sciences]. Springer-Verlag, Berlin, 2004, pp. xii+635.url: https://doi.org/10.1007/978-3-662-06307-1(cit. on p. 3). [BLR90] Siegfried Bosch, Werner Lütkebohmert, and Michel Raynaud.Néron models. Vol","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":302,"audited_at":"2026-08-01T10:18:17.152367Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/978-3-662-06307-1(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"04bdffa5585228dd4bc46692370e71e75124376f2fba89f805b3037415e9cf61","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":15592,"event_type":"pith.integrity.v1","payload_sha256":"a4630bd71d86c803d1f002c31429a5f9f3891570abb447d2aa6c8b1c8628f523","signature_b64":"ne0l9efknU0t3BWuDYVT2JxB05yecLXpcuYvO44SQRIIxlMOsHxY73EYQXfNR4bQnvGqLF7DevaEfu8aQ8i6Cw==","signing_key_id":"pith-v1-2026-05","created_at":"2026-08-01T10:18:33.840476+00:00","payload":{"note":"Identifier '10.1090/s0002-9947-96-01649-2(cit' 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.","snippet":"Grad- uate Texts in Mathematics. Springer-Verlag, Berlin, 2009, pp. xiv+355 (cit. on p. 12). [Tow96] Christopher Towse. “Weierstrass points on cyclic covers of the projective line”. In:Trans. Amer. Math. Soc.348.8 (1996), pp. 3355–3378.url:","arxiv_id":"2607.20397","detector":"doi_compliance","evidence":{"doi":"10.1090/s0002-9947-96-01649-2(cit","arxiv_id":null,"ref_index":254,"raw_excerpt":"Grad- uate Texts in Mathematics. Springer-Verlag, Berlin, 2009, pp. xiv+355 (cit. on p. 12). [Tow96] Christopher Towse. “Weierstrass points on cyclic covers of the projective line”. In:Trans. Amer. Math. Soc.348.8 (1996), pp. 3355–3378.url:https://doi. org/10.1090/S0002-9947-96-01649-2(cit. on p. 17). [TTV91] Walter Tautz, Jaap Top, and Alain Verberkmoes. “Explicit hyperelliptic curves with real m","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":254,"audited_at":"2026-08-01T10:18:17.152367Z","event_type":"pith.integrity.v1","detected_doi":"10.1090/s0002-9947-96-01649-2(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"7cbfa8ee4eeba23c1f0668bff26419428fb4aafffd5884dd2f346398fa2f684d","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":15591,"event_type":"pith.integrity.v1","payload_sha256":"3e5fb2e2f8c7e7495161cdf9ffcde4f225b46a79bb50da9bf399235da3911f86","signature_b64":"kPKwKQcYs+/erJfEhp4IsR9W8bcmHscR3+EPOyNmRV2juD7ggfuqBAMTZR5v1DID6L1O9JanyA28uCO+X/Y9BA==","signing_key_id":"pith-v1-2026-05","created_at":"2026-08-01T10:18:33.687787+00:00","payload":{"note":"Identifier '10.1007/978-1-4612-0853-2(cit' 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.","snippet":"Graduate Texts in Math- ematics. Springer-Verlag, New York, 1994, pp. xiv+357.url:https://doi.org/ 10.1007/978-1-4612-0853-2(cit. on p. 10). [LE02] Qing Liu and Reinie Erné.Algebraic Geometry and Arithmetic Curves. Oxford University Press, ","arxiv_id":"2607.20397","detector":"doi_compliance","evidence":{"doi":"10.1007/978-1-4612-0853-2(cit","arxiv_id":null,"ref_index":110,"raw_excerpt":"Graduate Texts in Math- ematics. Springer-Verlag, New York, 1994, pp. xiv+357.url:https://doi.org/ 10.1007/978-1-4612-0853-2(cit. on p. 10). [LE02] Qing Liu and Reinie Erné.Algebraic Geometry and Arithmetic Curves. Oxford University Press, 2002, pp. xv+575.url:https : / / doi . org / 10 . 1093 / oso / 9780198502845.001.0001(cit. on p. 5). [Mas96] David W. Masser. “Specializations of endomorphism r","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":110,"audited_at":"2026-08-01T10:18:17.152367Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/978-1-4612-0853-2(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"404d3494b41580b0e2eb79a517787be1a238ef1faed297035232b83377aa0614","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":15590,"event_type":"pith.integrity.v1","payload_sha256":"aa2cf97cffc0898b5b0d453b5423fd13cfd2ea99352919aef4bb6c054ac2142f","signature_b64":"IuSjh0BiNAog9jHYTYHw2NxV2NJ3oPgsxr5s63NuinVFofZ7Kv601YAogv2bLp+sYuT7xHC8rwqLSYK2/l2ACw==","signing_key_id":"pith-v1-2026-05","created_at":"2026-08-01T10:18:33.518915+00:00","payload":{"note":"Identifier '10.1007/978-3-642-51438-8(cit' 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.","snippet":"Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Math- ematics and Related Areas (3)]. Springer-Verlag, Berlin, 1990, pp. x+325.url: https://doi.org/10.1007/978-3-642-51438-8(cit. on pp. 7, 8, 22, 23). [BW17] Irene I. Bouw a","arxiv_id":"2607.20397","detector":"doi_compliance","evidence":{"doi":"10.1007/978-3-642-51438-8(cit","arxiv_id":null,"ref_index":21,"raw_excerpt":"Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Math- ematics and Related Areas (3)]. Springer-Verlag, Berlin, 1990, pp. x+325.url: https://doi.org/10.1007/978-3-642-51438-8(cit. on pp. 7, 8, 22, 23). [BW17] Irene I. Bouw and Stefan Wewers. “ComputingL-functions and semistable re- duction of superelliptic curves”. In:Glasg. Math. J.59.1 (2017), pp. 77–108.url: https://doi.org/10.1","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":21,"audited_at":"2026-08-01T10:18:17.152367Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/978-3-642-51438-8(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"431727c8aec12e34cb8ff404e09f0acc5fe71b4fdf281fd7775b52f821be83ec","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}}],"endpoint_self":"/pith/2607.20397/integrity.json","protocol_url":"https://pith.science/pith-integrity-protocol"}