{"as_of":"2026-08-19T23:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:63ee0f28e612d95fc52ff181c45bac14a8e6b52aff9dc4f8b341999e91556970","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:53:38.242609Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.01710/citation-record","integrity":"/paper/1908.01710/integrity","json":"/paper/1908.01710/citation-record.json","paper":"/paper/1908.01710"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.511920Z","title":null,"venue":null,"work_id":"a78d4064-5e6c-4cbf-a388-b12b8a83bfa3","year":1967},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.919501Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:a92e8b9f61c1dde646a6877ecfac1aac13d8769e4b465aeafb6609a1cb7aab03","observation_id":"6544634f-b466-4f1b-9a8b-7bf4aa92362d","resolution":{"observed_at":"2026-08-14T15:53:39.516706Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.496545Z","title":null,"venue":null,"work_id":"81e1e697-8f6c-4e66-b526-73de3271e61a","year":2003},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.957563Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:7458b1610d38bc0ef403fdce8c618ea3c74b8aad8cb8b2edaa530b9f9b4ebe7e","observation_id":"5c79b9c1-1e54-49e4-bb1b-2944111018f1","resolution":{"observed_at":"2026-08-14T15:53:39.501185Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.481997Z","title":null,"venue":null,"work_id":"401b43e2-844a-4b63-8f16-b3cf09ce72ac","year":2011},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.963118Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:73cf79d5d245d6d7cff05507a442a1db26571c12aaaa975ac625177cf5f4155c","observation_id":"94920103-dcb5-4f78-99eb-286105a20472","resolution":{"observed_at":"2026-08-14T15:53:39.486346Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.406952Z","title":null,"venue":null,"work_id":"91c2b1ae-508b-43fe-940a-cea27c0b8fcc","year":2011},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.968059Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:ce2df1a55f7f5ff4543865936f3159be13d358565c35f16a5e23a712c21dfff5","observation_id":"eeaec196-0058-4a8c-8dcd-2c30ed068aa0","resolution":{"observed_at":"2026-08-14T15:53:39.471273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9311032","last_updated":"1994-01-12T15:46:19Z","snapshot_observed_at":"2026-08-03T21:09:32.636040Z","submitted_at":"1993-11-24T11:42:20Z","title":"Semi-Complex Analysis & Mathematical Physics (Corrected Version)","version":2},"cited_work":{"arxiv_id":"gr-qc/9311032","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9311032","snapshot_observed_at":"2026-08-14T15:53:38.297648Z","title":"Semi-Complex Analysis & Mathematical Physics (Corrected Version)","venue":"gr-qc","work_id":"e48658cf-5814-423b-b946-c3fc3072f631","year":1993},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.973698Z"},"links":{"cited_paper":"/paper/gr-qc/9311032","citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:97b5d9ba772c36cbed89206122aee8fd482e804b3f13b46d826d71e35a3897b3","observation_id":"0ac29952-3af5-4069-9a7d-5c7c00cc8378","resolution":{"observed_at":"2026-08-14T15:53:38.358933Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.372637Z","title":"K.; Ehrlich, P","venue":null,"work_id":"4747c4d9-e3b9-4934-b4d9-9580d582ab01","year":1996},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.979308Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:447da7ae57cb5e18ad6fd77ea3d10cac036be3d612f11d2e4c585b34a25bf305","observation_id":"ebb7dca3-b1d0-421e-821b-e420f1def856","resolution":{"observed_at":"2026-08-14T15:53:39.377705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.357657Z","title":null,"venue":null,"work_id":"9a0917be-7615-4553-8014-8d0ee3a227a7","year":2011},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.986082Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:96a0e5bf1d6bcf1dec3c5d0544ca2b5ae42b593e6751d7ee6d85d21709a50f71","observation_id":"d723e4e6-8053-419a-92a9-b9f4394745f1","resolution":{"observed_at":"2026-08-14T15:53:39.362428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.340168Z","title":"Y.; Pseudo-Riemannian Geometry, δ-invariants and Applications, World Sci- entiﬁc, 2011","venue":null,"work_id":"608f1e52-239a-435c-b9ce-74f7edb704e0","year":2011},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.991151Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:92f594b38d35ed82e2692e8fdd8135b924b556e22fddba68edac6d85b020dec1","observation_id":"dc715f37-a90a-4d89-9287-4f8468a4e34e","resolution":{"observed_at":"2026-08-14T15:53:39.345959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.180362Z","title":"P ., Geometria Diferencial de Curvas e Superfícies, SBM (Universitary Texts Collection, volume 04), 2014","venue":null,"work_id":"601721cc-2f8a-441c-8271-22eb53f4cc14","year":2014},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:37.996608Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:c39480a7e467615fb930107a25d6e5b4869ccc4335f69c9f12c67adae635d084","observation_id":"c88e8c20-1400-40c6-860e-4e602c186651","resolution":{"observed_at":"2026-08-14T15:53:39.268679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:39.028167Z","title":"P .; Franco Filho, A","venue":null,"work_id":"c4e28b1f-d265-4af7-999c-75ad985a53e5","year":2016},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.001643Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:fc540eed5fac225d37cfd69799b69ec6f314117c66cae44e9582c1098874797a","observation_id":"2a8cfe75-466d-46dc-8cc0-849f64de9505","resolution":{"observed_at":"2026-08-14T15:53:39.094551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.976242Z","title":"P .; Magid, M.; Bjorling Problem for timelike surfaces in R4 2, Journal of Geometry and Physics (no","venue":null,"work_id":"b5a98689-bedc-491f-ac32-18b02bdbfd96","year":2013},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.006398Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:6eba73c9485b00eeef3219081f8985be2ea83ea041ebd21cd378603271d5c8f8","observation_id":"7696bd79-5783-4c37-bacb-18be8d7117e9","resolution":{"observed_at":"2026-08-14T15:53:38.980942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.961929Z","title":"M.; Margulis, G","venue":null,"work_id":"149747ec-7c68-4059-88b5-d690a5d1738c","year":1999},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.011494Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:128dede9ccccea4a1189cff9ccd88684a52292ccf0807daaab42cb518794be8c","observation_id":"5bd5984a-dff7-428f-94b8-31d66591df16","resolution":{"observed_at":"2026-08-14T15:53:38.966506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.945305Z","title":"H., Linear Algebra, Springer-Verlag, 1975","venue":null,"work_id":"80a6f40a-ace4-4261-87cc-7375b523b46a","year":1975},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.050385Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:0c0d1f78941276f7bc9876bb081cfd497f841fa1602ec88df2e9184f27062031","observation_id":"9b7dabe8-4317-46c7-af36-e55334be7280","resolution":{"observed_at":"2026-08-14T15:53:38.950886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.836375Z","title":null,"venue":null,"work_id":"bc87b1b4-d65b-48d0-bc39-ad65edcddf78","year":1973},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.094121Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:f091f23930a49d644e1c5fd4bced97d0d12b924c60fc51131fa3fee8fb83e4b1","observation_id":"8a5e7c51-648c-45cc-8b0a-7629dee8f0ec","resolution":{"observed_at":"2026-08-14T15:53:38.877974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.759986Z","title":"23–28, 2011","venue":null,"work_id":"c011a0c9-a4b0-4566-bb84-4841f73647bd","year":2011},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.162494Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:894a2e5a04d857b206ceedb645d980dc8ac8e14cafb7f5c2f7608ad5acd4ef1b","observation_id":"8996efa0-d289-46d2-898d-7f01c2c4f19d","resolution":{"observed_at":"2026-08-14T15:53:38.792238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.737627Z","title":"4–14, 2014","venue":null,"work_id":"0ec74ffe-c17f-42c3-9625-3b98b22cc390","year":2014},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.188921Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:3c2c4f39e72586dedc4f040bd18953397d43e0565857ceaa0fe6c97568b26568","observation_id":"29e61b97-d9fb-4e7d-a9d5-ad137deb575e","resolution":{"observed_at":"2026-08-14T15:53:38.742021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.721329Z","title":null,"venue":null,"work_id":"0159db7a-7f67-4dad-b82f-a0ab3edb45f2","year":1983},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.193474Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:8eff284e1af11c52bbb074617e0dd41c4a60accf8e1781d14726014fbcacdeaa","observation_id":"c21cdfbf-e928-4eda-bd0a-c4fd11425922","resolution":{"observed_at":"2026-08-14T15:53:38.726450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.704887Z","title":"5, pp.319-332), 2005","venue":null,"work_id":"ed0f5816-fbe9-4452-9b56-543bf41ca528","year":2005},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.198455Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:4bc4676db16a4b7d7a7e4383cf5e12be86b44a412657b4901eb5d1f22a93e3b3","observation_id":"841f92b2-9ffb-42bb-960e-d51d6205cb8e","resolution":{"observed_at":"2026-08-14T15:53:38.710073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0810.3351","last_updated":"2014-10-09T16:05:16Z","snapshot_observed_at":"2026-08-19T09:59:17.900889Z","submitted_at":"2008-10-18T21:54:47Z","title":"Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0810.3351","snapshot_observed_at":"2026-08-14T15:53:38.203268Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.203268Z"},"links":{"cited_paper":"/paper/0810.3351","citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:b876456f60bfde289daae5d9c9f33915b4ce94b18a59387bde5532ecee806651","observation_id":"e3e36394-987d-4950-984e-ecca63bfd38b","resolution":{"observed_at":"2026-08-14T15:53:38.203268Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.640926Z","title":null,"venue":null,"work_id":"022ac01e-ab27-4d6b-a719-0ca74e5020e5","year":2012},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.208753Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:7794f9768f2b96f11de047a06a536290e01b88d077afd0f9c2c771b341bf4562","observation_id":"4277ecf2-0e3c-4d79-908a-5b087b1ca18f","resolution":{"observed_at":"2026-08-14T15:53:38.680424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.619162Z","title":"L., Spacetime and Singularities, An Introduction , Cambridge University Press, 1988","venue":null,"work_id":"8b32a049-840b-43e7-b33d-e3ab64462de3","year":1988},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.213588Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:8208665c792b8219962236eda27e89a51f90583d98c0e0fa995b1269eeb188c6","observation_id":"2055e81d-f589-4a29-9447-a7d9ffa21f37","resolution":{"observed_at":"2026-08-14T15:53:38.624192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.553731Z","title":"L., The Geometry of Minkowski Spacetime: An Introduction to the Mathe- matics of the Special Theory of Relativity , Springer–Verlag (Applied Mathematical Sciences 92), 1992","venue":null,"work_id":"0af42b44-fa6a-44d7-add7-a049c9a4e732","year":1992},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.218134Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:46f61e020c6c238086c27b29df344cfbe5bd299f90f8a5b4e0c4e4eb7f5a09d5","observation_id":"c85cacf0-de03-440b-a74f-566dba377109","resolution":{"observed_at":"2026-08-14T15:53:38.607292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.433611Z","title":null,"venue":null,"work_id":"248e6de6-9655-40a7-a8b9-f6b33b9ce5b7","year":1983},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.222725Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:57c11ba7efe79a76bb4d906f48172b4a90f63220d46050f8b1e6b14ff1dc192a","observation_id":"97ecf22f-c356-440b-8bf3-0d971e6999a5","resolution":{"observed_at":"2026-08-14T15:53:38.464131Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.418428Z","title":null,"venue":null,"work_id":"423c414f-7f4f-43ca-ab4a-b4df319457be","year":1986},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.227627Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:bc89fb9e82eb75f5d02a5685a1ae10383a213d10440a2bfa36ef537bfbc38d28","observation_id":"9b84dacb-f4ac-4231-8dad-5477a270366c","resolution":{"observed_at":"2026-08-14T15:53:38.422910Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.402835Z","title":null,"venue":null,"work_id":"898cb45e-8fb6-4034-98e4-0e6231a62d2a","year":1972},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.232703Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:45884316f1bc6cab908b75ba1308f9b48b7b8b915f387970d9fff63bce9a89ad","observation_id":"beb40d94-78db-452e-95c7-7a679ebee487","resolution":{"observed_at":"2026-08-14T15:53:38.407606Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.386093Z","title":null,"venue":null,"work_id":"536251ce-6e27-4bfc-b867-62776cc949b7","year":2008},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.237938Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:f819c124c060ce224afd59e7adda6c637bf071ffeb7d69f6e7409dd486c09b94","observation_id":"f39d92ca-824c-429c-adb0-f13470548e65","resolution":{"observed_at":"2026-08-14T15:53:38.390979Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:53:38.370861Z","title":null,"venue":null,"work_id":"93b92aa5-2697-4a1c-9095-35be07ce34ef","year":2018},"citing_paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:53:38.242609Z"},"links":{"citing_paper":"/paper/1908.01710"},"observation_digest":"sha256:23f74d924ec11d2201564b4279bae2c4cf6533368bfdadaadc99e77cdf699928","observation_id":"c32dbdae-406c-467c-92b6-eec1a881f825","resolution":{"observed_at":"2026-08-14T15:53:38.375738Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.01710","last_updated":"2019-09-02T19:38:53Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-19T03:20:57.722702Z","submitted_at":"2019-08-02T02:42:17Z","title":"Topics in Lorentz Geometry"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":27},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.01710."}