{"as_of":"2026-08-16T05:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f81fe6a2c046c524702760b3e90d691a90edb4c7cc2dcb2181aba5c8bd3e91b1","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:04:08.865330Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/1908.01990/citation-record","integrity":"/paper/1908.01990/integrity","json":"/paper/1908.01990/citation-record.json","paper":"/paper/1908.01990"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:04:09.047399Z","title":null,"venue":null,"work_id":"5f5024b5-647a-411e-8410-568a9acd0b33","year":2009},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.819592Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:3a7a39efcf18e38b5309d7e4079ffea33932eb8c511ee0ec73e9599220aca77b","observation_id":"0e543b72-6e13-49fd-b73a-7ab9597ccf52","resolution":{"observed_at":"2026-08-14T15:04:09.052763Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:09.030946Z","title":"Meyer, Springer, Berlin, 1989","venue":null,"work_id":"f4f1d347-dabb-4ad0-8393-92e08faccb46","year":1989},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.825576Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:130abfeb52ff5449d728328d2bac5f3d22d5ae6f8932548fdea2ff6414fe48cc","observation_id":"46eb2226-6827-4177-bbbe-4d79b7d851df","resolution":{"observed_at":"2026-08-14T15:04:09.036266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:09.012717Z","title":null,"venue":null,"work_id":"0f3df0c7-2b44-405c-a554-e70c356d2cb8","year":2008},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.830967Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:e0710142614a1619cbc73b88133a7c8aeb74eb9bb2c3721cae2e958df8ad8df2","observation_id":"6496bacd-fb5d-47b6-89e6-aa8ba6820772","resolution":{"observed_at":"2026-08-14T15:04:09.018011Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:08.992443Z","title":null,"venue":null,"work_id":"00b681ee-31ee-4566-998e-7207cba2d51c","year":1974},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.837434Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:c30119894eb9db7a33d6a90020d0000eb292ebb57e20907182a754d02fdd336c","observation_id":"9f899d49-bc5c-4a55-8069-818a88220b99","resolution":{"observed_at":"2026-08-14T15:04:08.998516Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:08.973280Z","title":"Dedicata 104, 1, 149- 160, 2004","venue":null,"work_id":"ad338055-52e8-48e7-8893-486b9fae6275","year":2004},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.843369Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:cd6671afdb5e6de1a080e00338e47be2ffea0f905e13e836fc8b18a59978ac93","observation_id":"910b01bd-8817-407d-aa2d-c60d887c57e7","resolution":{"observed_at":"2026-08-14T15:04:08.978557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:08.955999Z","title":null,"venue":null,"work_id":"b99d6ff9-ab21-4dc9-87bc-c66a516bffc7","year":1984},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.848806Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:11cf7ed414fff7ac8b9156df4be74d00d0501baef263f4bc5ebe8abed621871a","observation_id":"e14d15a4-35a1-41f0-9ab9-05281764c81f","resolution":{"observed_at":"2026-08-14T15:04:08.961174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:08.939857Z","title":null,"venue":null,"work_id":"d15b6ba5-1fa4-4837-9abd-5527bccefd62","year":1992},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.855244Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:af410443de5de044311d2e18c8cdea359e26a56151cf2b10c3a1129ec97735b9","observation_id":"393878f6-8020-467b-bfae-f184dc43e884","resolution":{"observed_at":"2026-08-14T15:04:08.944728Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:08.923798Z","title":null,"venue":null,"work_id":"cc836183-dd41-4e68-ac1c-1087ced94446","year":2016},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.860322Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:65aac0b2a38e6dcad554fbf497ff2a695695fbb91d2359c0e8739d37e3c2f813","observation_id":"a95a1f68-7f21-4b59-9562-6c261b5ecb12","resolution":{"observed_at":"2026-08-14T15:04:08.928797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T15:04:08.904216Z","title":"Differential Geom","venue":null,"work_id":"f70ee4b4-2379-48be-a59d-c41d853f715a","year":2002},"citing_paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:04:08.865330Z"},"links":{"citing_paper":"/paper/1908.01990"},"observation_digest":"sha256:ce90fc9653dfef21375c966c14d8ff986fa3253d762356e9870b44a2447a764f","observation_id":"c3137204-e095-4250-ba43-ac918bac6c0b","resolution":{"observed_at":"2026-08-14T15:04:08.910699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.01990","last_updated":"2021-03-21T14:47:13Z","latest_version":3,"primary_category":"math-ph","snapshot_observed_at":"2026-08-16T03:37:21.862628Z","submitted_at":"2019-08-06T07:19:13Z","title":"On the Stochastic Processes on $7$-Dimensional Spheres"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":9},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.01990."}