{"schema":"https://pith.science/schemas/pith-integrity/v1.json","pith_number":"2604.27670","arxiv_id":"2604.27670","integrity":{"available":true,"endpoint":"/pith/2604.27670/integrity.json","summary":{"critical":1,"advisory":1,"informational":0,"by_detector":{"doi_compliance":{"total":2,"critical":1,"advisory":1,"informational":0}}},"clean":false,"detectors_run":[{"name":"ai_meta_artifact","version":"1.0.0","status":"completed","ran_at":"2026-05-20T21:41:41.598249Z","findings_count":0},{"name":"doi_compliance","version":"1.0.0","status":"completed","ran_at":"2026-05-19T19:02:46.724038Z","findings_count":2}],"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 (10.1090/S0002-9939-99-05304-6.51) was visible in the surrounding text but could not be confirmed against doi.org as printed.","detected_doi":"10.1090/S0002-9939-99-05304-6.51","detected_arxiv_id":null,"ref_index":12,"audited_at":"2026-05-19T19:02:46.724038Z"},{"detector":"doi_compliance","finding_type":"broken_identifier","severity":"critical","verdict_class":"incontrovertible","note":"DOI '10.1142/q0208' as printed in the bibliography is syntactically invalid and cannot resolve.","detected_doi":"10.1142/q0208","detected_arxiv_id":null,"ref_index":28,"audited_at":"2026-05-19T19:02:46.724038Z"}],"snapshot_sha256":"5866363e5d9d648123bd94a0ce72ca24a31f6be2c9a241a76369984e3f1118eb"},"events":[{"event_id":2649,"event_type":"pith.integrity.v1","payload_sha256":"14cfa18334a52ed293678d2f9cc74229ae7ef99a73e52e4127748cd60f3c8895","signature_b64":"7AwGnKnV4Ie2tobP1QeyGtE3jgrr5Yirpl9bgegu8M8/kVr0Q3I5r0jrvUcWDXIvGptUk2cXwteWYt0M2U7pAA==","signing_key_id":"pith-v1-2026-05","created_at":"2026-05-19T19:07:18.679616+00:00","payload":{"note":"DOI '10.1142/q0208' as printed in the bibliography is syntactically invalid and cannot resolve.","snippet":"J. de Lucas and C. Sardón.A Guide to Lie Systems with Compatible Geometric Structures. World Scientific Publishing Co. Pte. Ltd., Singapore, 2020. 10.1142/q0208","arxiv_id":"2604.27670","detector":"doi_compliance","evidence":{"ref_index":28,"raw_excerpt":"J. de Lucas and C. Sardón.A Guide to Lie Systems with Compatible Geometric Structures. World Scientific Publishing Co. Pte. Ltd., Singapore, 2020. 10.1142/q0208","verdict_class":"incontrovertible","doi_as_printed":"10.1142/q0208"},"severity":"critical","ref_index":28,"audited_at":"2026-05-19T19:02:46.724038Z","event_type":"pith.integrity.v1","detected_doi":"10.1142/q0208","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"broken_identifier","evidence_hash":"bdf4902255b9a7f7f69ad3e03cea6804dee32865133db3fd24c1e3613e91fffd","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null}},{"event_id":2648,"event_type":"pith.integrity.v1","payload_sha256":"2ee79d94399890c0b1e9aabda3b9924d4871d12b84abf9713bd3468759d1753d","signature_b64":"bI1Vs5JqVhEYVCRPmhAUY+BkFeZkdza+W5Y1Txs/kN67zrhljE4DxBT4hk8aTorbvHuPOeBD1Nz8gNreH16HDA==","signing_key_id":"pith-v1-2026-05","created_at":"2026-05-19T19:07:18.675860+00:00","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1090/S0002-9939-99-05304-6.51) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"M. Castrillón, T. S. Ratiu, and S. Shkoller. Reduction in Principal Fiber Bundles: Covariant Euler-PoincaréEquations.Proc. Amer. Math. Soc.,128(7):2155–2164, 2000. 10.1090/S0002- 9939-99-05304-6. 51 Hamilton–Jacobi theory for non-conservati","arxiv_id":"2604.27670","detector":"doi_compliance","evidence":{"ref_index":12,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"M. Castrillón, T. S. Ratiu, and S. Shkoller. Reduction in Principal Fiber Bundles: Covariant Euler-PoincaréEquations.Proc. Amer. Math. Soc.,128(7):2155–2164, 2000. 10.1090/S0002- 9939-99-05304-6. 51 Hamilton–Jacobi theory for non-conservati","reconstructed_doi":"10.1090/S0002-9939-99-05304-6.51"},"severity":"advisory","ref_index":12,"audited_at":"2026-05-19T19:02:46.724038Z","event_type":"pith.integrity.v1","detected_doi":"10.1090/S0002-9939-99-05304-6.51","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"c2a26c161f548c27a2f631fa62a2a5da06c09700614da5072ff5f282d9a87aa8","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null}}],"endpoint_self":"/pith/2604.27670/integrity.json","protocol_url":"https://pith.science/pith-integrity-protocol"}