{"schema":"https://pith.science/schemas/pith-integrity/v1.json","pith_number":"2607.07022","arxiv_id":"2607.07022","integrity":{"available":true,"endpoint":"/pith/2607.07022/integrity.json","summary":{"critical":1,"advisory":3,"informational":0,"by_detector":{"doi_compliance":{"total":4,"critical":1,"advisory":3,"informational":0}}},"clean":false,"detectors_run":[{"name":"doi_title_agreement","version":"1.0.0","status":"completed","ran_at":"2026-07-19T23:34:56.081419Z","findings_count":0},{"name":"ai_meta_artifact","version":"1.0.0","status":"completed","ran_at":"2026-07-16T09:52:37.498757Z","findings_count":0},{"name":"claim_evidence","version":"1.0.0","status":"completed","ran_at":"2026-07-15T17:04:45.817923Z","findings_count":0},{"name":"doi_compliance","version":"1.0.0","status":"completed","ran_at":"2026-07-15T03:42:34.124510Z","findings_count":4},{"name":"citation_quote_validity","version":"0.1.0","status":"completed","ran_at":"2026-07-09T23:57:11.905867Z","findings_count":0},{"name":"cited_work_retraction","version":"1.0.0","status":"completed","ran_at":"2026-07-09T18:18:33.641202Z","findings_count":0}],"findings":[{"detector":"doi_compliance","finding_type":"recoverable_identifier","severity":"advisory","verdict_class":"incontrovertible","note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1515/eqc-2026-0017.url:https://doi.org/10.1515/eqc-2026-0017) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detected_doi":"10.1515/eqc-2026-0017.url:https://doi.org/10.1515/eqc-2026-0017","detected_arxiv_id":null,"ref_index":9,"audited_at":"2026-07-09T21:39:42.437704Z"},{"detector":"doi_compliance","finding_type":"recoverable_identifier","severity":"advisory","verdict_class":"incontrovertible","note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1103/PhysRevE.70.045101.url:https://link.aps.org/doi/10.1103/PhysRevE.70.045101) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detected_doi":"10.1103/PhysRevE.70.045101.url:https://link.aps.org/doi/10.1103/PhysRevE.70.045101","detected_arxiv_id":null,"ref_index":12,"audited_at":"2026-07-09T21:39:42.437704Z"},{"detector":"doi_compliance","finding_type":"recoverable_identifier","severity":"advisory","verdict_class":"incontrovertible","note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1063/1.4983566.url:https://doi.org/10.1063/1.4983566) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detected_doi":"10.1063/1.4983566.url:https://doi.org/10.1063/1.4983566","detected_arxiv_id":null,"ref_index":6,"audited_at":"2026-07-09T21:39:42.437704Z"},{"detector":"doi_compliance","finding_type":"unresolvable_identifier","severity":"critical","verdict_class":"cross_source","note":"Identifier '10.1214/07-ps122.url:https://doi.org/10.1214/07-ps122' 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":"10.1214/07-ps122.url:https://doi.org/10.1214/07-ps122","detected_arxiv_id":null,"ref_index":15,"audited_at":"2026-07-09T21:39:42.437704Z"}],"snapshot_sha256":"02cf3c4f7ff48b890a02b60c080593b6510c107a16564ba8b60a4d6c480c5332"},"events":[{"event_id":10888,"event_type":"pith.integrity.v1","payload_sha256":"9e08ec5e4de696509843b3863d2acbceb3c7c7105344ff1f83a39db057c4fd7d","signature_b64":"sIWRm4c77oi4b1SWVunaNaGykIayr80iGG+vb1jXh6skWodxYB1VUxYrkA4rsUD57ObaAgzvmTfiB7+S7fpCCg==","signing_key_id":"pith-v1-2026-05","created_at":"2026-07-09T21:43:19.053083+00:00","payload":{"note":"Identifier '10.1214/07-ps122.url:https://doi.org/10.1214/07-ps122' 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":"WardWhitt.“ProofsofthemartingaleFCLT”.In:Probability Surveys4(2007),pp.268– 302.doi:10.1214/07-PS122.url:https://doi.org/10.1214/07-PS122","arxiv_id":"2607.07022","detector":"doi_compliance","evidence":{"doi":"10.1214/07-ps122.url:https://doi.org/10.1214/07-ps122","arxiv_id":null,"ref_index":15,"raw_excerpt":"WardWhitt.“ProofsofthemartingaleFCLT”.In:Probability Surveys4(2007),pp.268– 302.doi:10.1214/07-PS122.url:https://doi.org/10.1214/07-PS122","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"]},"severity":"critical","ref_index":15,"audited_at":"2026-07-09T21:39:42.437704Z","event_type":"pith.integrity.v1","detected_doi":"10.1214/07-ps122.url:https://doi.org/10.1214/07-ps122","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"e4cf7f46e3739dfc482e05c1c4fbbfe51a37bb9357b199b32405d7978cda6d48","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null}},{"event_id":10887,"event_type":"pith.integrity.v1","payload_sha256":"d335604ce191b107bc57ca8903177b3f30db5a3752eb3add9b05328c7223e4b1","signature_b64":"Z7zUFN2KxOGA559iL/+GYXtIJVx/nGhVuedhE4tjNZIRIhW5iwp+kQyxRzv9WYHe40sWEonZNv7/5gWU0RCBCw==","signing_key_id":"pith-v1-2026-05","created_at":"2026-07-09T21:43:19.051097+00:00","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1103/PhysRevE.70.045101.url:https://link.aps.org/doi/10.1103/PhysRevE.70.045101) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Gunter M. Schütz and Steffen Trimper. “Elephants can always remember: Exact long- range memory effects in a non-Markovian random walk”. In:Physical Review E70.4 (2004), p. 045101.doi:10.1103/PhysRevE.70.045101.url:https://link.aps. org/doi/","arxiv_id":"2607.07022","detector":"doi_compliance","evidence":{"ref_index":12,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"Gunter M. Schütz and Steffen Trimper. “Elephants can always remember: Exact long- range memory effects in a non-Markovian random walk”. In:Physical Review E70.4 (2004), p. 045101.doi:10.1103/PhysRevE.70.045101.url:https://link.aps. org/doi/","reconstructed_doi":"10.1103/PhysRevE.70.045101.url:https://link.aps.org/doi/10.1103/PhysRevE.70.045101"},"severity":"advisory","ref_index":12,"audited_at":"2026-07-09T21:39:42.437704Z","event_type":"pith.integrity.v1","detected_doi":"10.1103/PhysRevE.70.045101.url:https://link.aps.org/doi/10.1103/PhysRevE.70.045101","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"b6360db682f25dc2627d05ff5536007e472f1421ec897d9a38d85e0897cc21f6","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null}},{"event_id":10886,"event_type":"pith.integrity.v1","payload_sha256":"9bb83b8ca5b0801ce5108dfbcefd40427a01d394eeb150176204a5fa14e6c2d5","signature_b64":"UDFAwWNGlpYMThZpDuoZR4SvXNlwKBHWpnumiFC4/u+5SlI1ay7JQg77PWdZmHlbVomJNb1oymaOVnnWXBvPDQ==","signing_key_id":"pith-v1-2026-05","created_at":"2026-07-09T21:43:19.047635+00:00","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1515/eqc-2026-0017.url:https://doi.org/10.1515/eqc-2026-0017) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Lucile Laulin and Bastien Mallein. “Elephants Explore in Spirals Sometimes”. In: Stochastics and Quality Control().doi:doi:10.1515/eqc-2026-0017.url:https: //doi.org/10.1515/eqc-2026-0017","arxiv_id":"2607.07022","detector":"doi_compliance","evidence":{"ref_index":9,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"Lucile Laulin and Bastien Mallein. “Elephants Explore in Spirals Sometimes”. In: Stochastics and Quality Control().doi:doi:10.1515/eqc-2026-0017.url:https: //doi.org/10.1515/eqc-2026-0017","reconstructed_doi":"10.1515/eqc-2026-0017.url:https://doi.org/10.1515/eqc-2026-0017"},"severity":"advisory","ref_index":9,"audited_at":"2026-07-09T21:39:42.437704Z","event_type":"pith.integrity.v1","detected_doi":"10.1515/eqc-2026-0017.url:https://doi.org/10.1515/eqc-2026-0017","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"04c5a26469cd06b613b1ab6667b773fc46452d1ef4ba23ed3e5dcfb84437a435","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null}},{"event_id":10885,"event_type":"pith.integrity.v1","payload_sha256":"1ce30ef5af1e3d77a028dbd08075e758ed5a416c11e1c3acfa9179f3cab473b6","signature_b64":"tfVYrz9w6/5dhhHxcV0NdhSlfN+nqLKvGDsArOXFQEnglDB3+uZWkh0ktkxylSzgbGuxwuCdbhO9RdnPC3SdAw==","signing_key_id":"pith-v1-2026-05","created_at":"2026-07-09T21:43:19.043186+00:00","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1063/1.4983566.url:https://doi.org/10.1063/1.4983566) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Cristian F. Coletti, Renato Gava, and Gunter M. Schütz. “Central limit theorem and related results for the elephant random walk”. In:Journal of Mathematical Physics58.5 (2017), p. 053303.doi:10.1063/1.4983566.url:https://doi.org/10.1063/1. ","arxiv_id":"2607.07022","detector":"doi_compliance","evidence":{"ref_index":6,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"Cristian F. Coletti, Renato Gava, and Gunter M. Schütz. “Central limit theorem and related results for the elephant random walk”. In:Journal of Mathematical Physics58.5 (2017), p. 053303.doi:10.1063/1.4983566.url:https://doi.org/10.1063/1. ","reconstructed_doi":"10.1063/1.4983566.url:https://doi.org/10.1063/1.4983566"},"severity":"advisory","ref_index":6,"audited_at":"2026-07-09T21:39:42.437704Z","event_type":"pith.integrity.v1","detected_doi":"10.1063/1.4983566.url:https://doi.org/10.1063/1.4983566","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"8edeac7ae84caa2a9a09cb734e2446dfca272df31543c9d435a20f2fcd6e48d7","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null}}],"endpoint_self":"/pith/2607.07022/integrity.json","protocol_url":"https://pith.science/pith-integrity-protocol"}