{"schema":"https://pith.science/schemas/pith-integrity/v1.json","pith_number":"2607.24650","arxiv_id":"2607.24650","integrity":{"available":true,"endpoint":"/pith/2607.24650/integrity.json","summary":{"critical":8,"advisory":0,"informational":0,"by_detector":{"doi_compliance":{"total":8,"critical":8,"advisory":0,"informational":0}}},"clean":false,"detectors_run":[{"name":"ai_meta_artifact","version":"1.0.0","status":"skipped","ran_at":"2026-08-11T00:08:47.021282Z","findings_count":0},{"name":"doi_title_agreement","version":"1.0.0","status":"completed","ran_at":"2026-08-04T11:09:02.565917Z","findings_count":0},{"name":"doi_compliance","version":"1.1.0","status":"completed","ran_at":"2026-08-04T09:51:21.358498Z","findings_count":8},{"name":"claim_evidence","version":"1.0.0","status":"completed","ran_at":"2026-08-04T00:28:21.396179Z","findings_count":0},{"name":"claim_evidence","version":"1.0.0","status":"completed","ran_at":"2026-07-30T04:31:00.787397Z","findings_count":0},{"name":"external_links","version":"1.0.0","status":"completed","ran_at":"2026-07-28T17:34:53.470095Z","findings_count":0},{"name":"shingle_duplication","version":"0.1.0","status":"skipped","ran_at":"2026-07-28T09:54:07.102391Z","findings_count":0},{"name":"citation_quote_validity","version":"0.1.0","status":"skipped","ran_at":"2026-07-28T05:57:55.465782Z","findings_count":0},{"name":"cited_work_retraction","version":"1.0.0","status":"completed","ran_at":"2026-07-28T04:24:08.799414Z","findings_count":0},{"name":"ai_meta_artifact","version":"1.0.0","status":"skipped","ran_at":"2026-07-28T02:52:21.155132Z","findings_count":0}],"findings":[{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1090/proc/14790(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/proc/14790(cit","detected_arxiv_id":null,"ref_index":5,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1007/978-3-319-26654-1(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":"10.1007/978-3-319-26654-1(cit","detected_arxiv_id":null,"ref_index":17,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1007/s00454-011-9344-x(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/s00454-011-9344-x(cit","detected_arxiv_id":null,"ref_index":21,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1038/s41592-019-0686-2(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":"10.1038/s41592-019-0686-2(cit","detected_arxiv_id":null,"ref_index":23,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1017/s002776300002290x(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":"10.1017/s002776300002290x(cit","detected_arxiv_id":null,"ref_index":1,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1007/bf02293996(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/bf02293996(cit","detected_arxiv_id":null,"ref_index":3,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1142/s0219498815500668(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":"10.1142/s0219498815500668(cit","detected_arxiv_id":null,"ref_index":7,"audited_at":"2026-07-31T09:11:50.451335Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1088/0266-5611/27/12/124003(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":"10.1088/0266-5611/27/12/124003(cit","detected_arxiv_id":null,"ref_index":20,"audited_at":"2026-07-31T09:11:50.451335Z"}],"snapshot_sha256":"64cec636485562474346e4b96f01e7695798005cb2cd5b278a630eeffd28c528"},"events":[{"event_id":14287,"event_type":"pith.integrity.v1","payload_sha256":"a11cddfaa176f04e6ad54c796929f92bf8a20ee7e46f29c8067b969ecefa27b3","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:12.674775+00:00","payload":{"note":"Identifier '10.1038/s41592-019-0686-2(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":"Pauli Virtanen et al. “SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python”. In:Nature Methods17 (2020), pp. 261–272.doi:10.1038/s41592-019-0686-2(cit. on p. 16)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1038/s41592-019-0686-2(cit","arxiv_id":null,"ref_index":23,"raw_excerpt":"Pauli Virtanen et al. “SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python”. In:Nature Methods17 (2020), pp. 261–272.doi:10.1038/s41592-019-0686-2(cit. on p. 16)","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":23,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1038/s41592-019-0686-2(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"3478ca8bf082776ea496ca972be7a64c609ecc3ddd2d19aaad39a5096157c324","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14286,"event_type":"pith.integrity.v1","payload_sha256":"3766a1638d08a0790686470d73a9f2f94a41ea4c7096b6d444390ecc887ccc8c","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:12.433568+00:00","payload":{"note":"Identifier '10.1007/s00454-011-9344-x(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":"Vin de Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson. “Persistent cohomology and circular coordinates”. In:Discrete & Computational Geometry45.4 (2011), pp. 737–759.doi: 10.1007/s00454-011-9344-x(cit. on pp. 2–6)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1007/s00454-011-9344-x(cit","arxiv_id":null,"ref_index":21,"raw_excerpt":"Vin de Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson. “Persistent cohomology and circular coordinates”. In:Discrete & Computational Geometry45.4 (2011), pp. 737–759.doi: 10.1007/s00454-011-9344-x(cit. on pp. 2–6)","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":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/s00454-011-9344-x(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"f214fea6249e6d7115ae66db1c5e7932c6aeb2bb1785ca1c61f1df515b945aed","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14285,"event_type":"pith.integrity.v1","payload_sha256":"01805ac26b98ee3fe0503f7f4fd47602d8a2342b2a4356bd992014736a697b9b","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:12.318185+00:00","payload":{"note":"Identifier '10.1088/0266-5611/27/12/124003(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":"Vin de Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson. “Dualities in Persistent (Co)Homology”. In:Inverse Problems27.12 (Nov. 2011), p. 124003.issn: 0266-5611.doi: 10.1088/0266-5611/27/12/124003(cit. on p. 4)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1088/0266-5611/27/12/124003(cit","arxiv_id":null,"ref_index":20,"raw_excerpt":"Vin de Silva, Dmitriy Morozov, and Mikael Vejdemo-Johansson. “Dualities in Persistent (Co)Homology”. In:Inverse Problems27.12 (Nov. 2011), p. 124003.issn: 0266-5611.doi: 10.1088/0266-5611/27/12/124003(cit. on p. 4)","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":20,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1088/0266-5611/27/12/124003(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"f36ca75d02a9617320d7badfd7b61c816b3ac9424e19284e25dd86661d6e67c2","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14284,"event_type":"pith.integrity.v1","payload_sha256":"d24707205b79b46dcbae128d3ea9b6f0e1cff684ac52fb2161a5c449a099760b","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:12.196784+00:00","payload":{"note":"Identifier '10.1007/978-3-319-26654-1(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":"Peter Petersen.Riemannian Geometry. 3rd ed. Vol. 171. Graduate Texts in Mathematics. Springer, 2016.doi:10.1007/978-3-319-26654-1(cit. on p. 16)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1007/978-3-319-26654-1(cit","arxiv_id":null,"ref_index":17,"raw_excerpt":"Peter Petersen.Riemannian Geometry. 3rd ed. Vol. 171. Graduate Texts in Mathematics. Springer, 2016.doi:10.1007/978-3-319-26654-1(cit. on p. 16)","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":17,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/978-3-319-26654-1(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"74db8a1860d14201464764ef70b953849f15722c0cfe02b95ffe96ad54970443","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14283,"event_type":"pith.integrity.v1","payload_sha256":"fb5661a3cd37851fad81e0ef4b4505c8c43311a773395755663289a46e6a161c","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:11.984750+00:00","payload":{"note":"Identifier '10.1142/s0219498815500668(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":"William Crawley-Boevey. “Decomposition of Pointwise Finite-Dimensional Persistence Mod- ules”. In:Journal of Algebra and Its Applications14.05 (June 2015), p. 1550066.issn: 0219- 4988.doi:10.1142/S0219498815500668(cit. on p. 4)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1142/s0219498815500668(cit","arxiv_id":null,"ref_index":7,"raw_excerpt":"William Crawley-Boevey. “Decomposition of Pointwise Finite-Dimensional Persistence Mod- ules”. In:Journal of Algebra and Its Applications14.05 (June 2015), p. 1550066.issn: 0219- 4988.doi:10.1142/S0219498815500668(cit. on p. 4)","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":7,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1142/s0219498815500668(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"7a072b991dc9319230a3f8b25a1c059a88ca7c865cb4e95d0741c5b1131589a7","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14282,"event_type":"pith.integrity.v1","payload_sha256":"145975c0d1d3999dbd6261431b832de586557bbb47a36f5899880d5fa6efc75c","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:11.759024+00:00","payload":{"note":"Identifier '10.1090/proc/14790(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":"Magnus Botnan and William Crawley-Boevey. “Decomposition of Persistence Modules”. In: Proceedings of the American Mathematical Society148.11 (Aug. 2020), pp. 4581–4596.issn: 0002-9939, 1088-6826.doi:10.1090/proc/14790(cit. on p. 4)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1090/proc/14790(cit","arxiv_id":null,"ref_index":5,"raw_excerpt":"Magnus Botnan and William Crawley-Boevey. “Decomposition of Persistence Modules”. In: Proceedings of the American Mathematical Society148.11 (Aug. 2020), pp. 4581–4596.issn: 0002-9939, 1088-6826.doi:10.1090/proc/14790(cit. on p. 4)","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":5,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1090/proc/14790(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"85ac79f9311b58d044112a67b31d36e65ab810fef3b37aae666bf1c8b6e38160","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14281,"event_type":"pith.integrity.v1","payload_sha256":"ab1d1b5ccc86ea5c692a8abab45f877579992a873b3fc954768da453ad6d2257","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:11.667101+00:00","payload":{"note":"Identifier '10.1007/bf02293996(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":"Jos M. F. ten Berge. “A General Solution to Orthogonal Procrustes Problems”. In:Psy- chometrika51.2 (1986), pp. 267–276.doi:10.1007/BF02293996(cit. on p. 16)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1007/bf02293996(cit","arxiv_id":null,"ref_index":3,"raw_excerpt":"Jos M. F. ten Berge. “A General Solution to Orthogonal Procrustes Problems”. In:Psy- chometrika51.2 (1986), pp. 267–276.doi:10.1007/BF02293996(cit. on p. 16)","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":3,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/bf02293996(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"659422495fed3dcf25adae2adc5ae410de5c873b6eefe756c10425ec1b584fc7","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}},{"event_id":14280,"event_type":"pith.integrity.v1","payload_sha256":"6f1cfabed6bc18fa261087523e1d804c728429f8af2547514eab789f13706fc2","signature_b64":null,"signing_key_id":null,"created_at":"2026-07-31T09:16:11.536589+00:00","payload":{"note":"Identifier '10.1017/s002776300002290x(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":"Gorˆ o Azumaya. “Corrections and Supplementaries to My Paper Concerning Krull-Remak- Schmidt’s Theorem”. In:Nagoya Mathematical Journal1 (June 1950), pp. 117–124.issn: 0027-7630, 2152-6842.doi:10.1017/S002776300002290X(cit. on p. 4)","arxiv_id":"2607.24650","detector":"doi_compliance","evidence":{"doi":"10.1017/s002776300002290x(cit","arxiv_id":null,"ref_index":1,"raw_excerpt":"Gorˆ o Azumaya. “Corrections and Supplementaries to My Paper Concerning Krull-Remak- Schmidt’s Theorem”. In:Nagoya Mathematical Journal1 (June 1950), pp. 117–124.issn: 0027-7630, 2152-6842.doi:10.1017/S002776300002290X(cit. on p. 4)","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":1,"audited_at":"2026-07-31T09:11:50.451335Z","event_type":"pith.integrity.v1","detected_doi":"10.1017/s002776300002290x(cit","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"b18b3b71b8cf71048d06378e6456e70e6ab5fe687f476e741f3e75c3a16f6add","paper_version":2,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null}}],"endpoint_self":"/pith/2607.24650/integrity.json","protocol_url":"https://pith.science/pith-integrity-protocol"}