{"as_of":"2026-08-22T23:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:859584406f051c55dfc8e77fab6b96ff8b6bd878b44a84babe891b4ce07df717","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":"2026-08-14T11:06:50.706856Z","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":"2026-08-22T06:32:14.747728+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/1908.10015/citation-record","integrity":"/paper/1908.10015/integrity","json":"/paper/1908.10015/citation-record.json","paper":"/paper/1908.10015"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:06:51.154044Z","title":"Arnold, Random Dynamical Systems , Springer-Verlag Berlin Heidelberg New York, 1998","venue":null,"work_id":"d0c6e4d3-26f2-4d55-9c5d-ace34c22cfee","year":1998},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.584057Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:16bc909756b580da9a40ce8a50bda4f28c90e304e2f29d1c8a7778de293f0967","observation_id":"4300f67d-2861-4a9f-8387-477645fbdbf5","resolution":{"observed_at":"2026-08-14T11:06:51.159250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.138380Z","title":null,"venue":null,"work_id":"2ee92475-fb74-498c-af18-6bb1dfa6bf7f","year":1963},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.589301Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:a39ac9e9dda4d58acd1a1f275e688f42aafac60218c450495821eeb57fb5f846","observation_id":"a8e0991e-224e-4c90-a78c-93aa1e933de8","resolution":{"observed_at":"2026-08-14T11:06:51.143343Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.123413Z","title":null,"venue":null,"work_id":"bf787884-ac12-4af8-aae4-4d3ad557aedf","year":2014},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.594024Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:5fcc692e1edb546b3993170ac8a67a2e361f5a3aadb432784e40b35a91ef743c","observation_id":"9c358572-be21-4a98-8369-3abaffbaed97","resolution":{"observed_at":"2026-08-14T11:06:51.128138Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.107390Z","title":null,"venue":null,"work_id":"b513d1e6-201a-44fc-b5bb-402565f40d92","year":2007},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.598800Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:293919dd47809dabaf609c971545c7153071674bae8b2a295f9472e07d38cbc1","observation_id":"19e8d450-6376-4885-95a8-649b3a8aedf6","resolution":{"observed_at":"2026-08-14T11:06:51.112586Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.091703Z","title":null,"venue":null,"work_id":"570a7206-157e-4f74-b812-97899e70d130","year":2007},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.604691Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:732640c84dd4b1265c0c20915595476ad4aaf6767c0c31616a16b59d9e512661","observation_id":"8243fffe-4332-4577-9384-ed62438c2bf7","resolution":{"observed_at":"2026-08-14T11:06:51.096770Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.072462Z","title":"Chekroun, E","venue":null,"work_id":"d6087d85-2803-427a-ac3b-5c3e1919b241","year":2011},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.609987Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:fb3f8d4d2b5efccc0b6ce8985f8181466c8358809ec3959f7f9c1fffb7b2617e","observation_id":"f66ad950-d1c6-4f7d-bccb-bd04bdb25917","resolution":{"observed_at":"2026-08-14T11:06:51.078012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.052580Z","title":null,"venue":null,"work_id":"34efc469-abf4-45e9-b34b-4ce2ba55a2e4","year":2017},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.615395Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:cc8205b98322ffaa877fbe7318819a3be8de94cfc5c212d81c2e5d597c83e994","observation_id":"3293114d-cee4-4ccc-9a92-6fc8f383569a","resolution":{"observed_at":"2026-08-14T11:06:51.057674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.035333Z","title":"Da Prato and J","venue":null,"work_id":"cd9940ed-aaca-4111-8c60-60e10c0d0dda","year":1996},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.620026Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:1b72594243c519d1433266c34b0ca029288d506506d855d562a9aa5e8109a4e9","observation_id":"fa763a4b-11d2-4c2b-b8d1-a53421b44a83","resolution":{"observed_at":"2026-08-14T11:06:51.040553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.020594Z","title":null,"venue":null,"work_id":"991276a7-430c-4e2b-b998-1820cb422d6e","year":2016},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.624785Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:af33edc103e76e1d529581a3dff6ad42cca65d7339215283fc5e80212c65cd42","observation_id":"319f1a2d-b16b-4ac5-9b7f-61e5fb9710f4","resolution":{"observed_at":"2026-08-14T11:06:51.025365Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:51.003305Z","title":"Feng, H.Z","venue":null,"work_id":"ffb68f93-aa8b-414e-bfd4-246f7140e4b6","year":2011},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.629356Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:975e7631b37625243ef57163f8fa1a89ea35f49b70646031105009ec9beece44","observation_id":"f540cb41-1d8e-4b67-9e8e-7acc337bd6a1","resolution":{"observed_at":"2026-08-14T11:06:51.008464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.988000Z","title":"Feng and H.Z","venue":null,"work_id":"2ea95957-d192-4341-9d0f-57a88586b249","year":2012},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.634390Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:0b61517b11e6d92e59bfc130ca4dd93b79e14e214c4d7f10dfe8a723589ba056","observation_id":"455b86d8-3105-41a9-bc81-42fda98ae5d4","resolution":{"observed_at":"2026-08-14T11:06:50.992604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.973123Z","title":"Feng and H.Z","venue":null,"work_id":"c5872d76-e3ac-4e67-86cf-6427c66186f2","year":2020},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.639325Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:0ca332bb9db4b828a6959e75451667d4ddbb724194d0b5880b0749f8cd9d653e","observation_id":"049577fe-7d7d-4843-88eb-b2bc8eec4b7b","resolution":{"observed_at":"2026-08-14T11:06:50.978226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.08091","last_updated":"2019-04-17T05:52:57Z","snapshot_observed_at":"2026-08-19T09:27:36.749717Z","submitted_at":"2019-04-17T05:52:57Z","title":"Existence of Geometric Ergodic Periodic Measures of Stochastic Differential Equations","version":1},"cited_work":{"arxiv_id":"1904.08091","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.08091","snapshot_observed_at":"2026-08-14T11:06:50.759513Z","title":"Existence of Geometric Ergodic Periodic Measures of Stochastic Differential Equations","venue":"math.PR","work_id":"f440aee0-5388-46f7-8317-2687c69bbdab","year":2019},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.644160Z"},"links":{"cited_paper":"/paper/1904.08091","citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:b30b76d81743fb066f30353d900dfea4095b6f6c7036aa6d15342ed752c93fde","observation_id":"b3d2bf6c-d2c4-4125-8562-5177190157c6","resolution":{"observed_at":"2026-08-14T11:06:50.766649Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.958003Z","title":"Friedman, Partial Differential Equations of Parabolic Type , Prentice-Hall, Englewood Cliffs, N.J","venue":null,"work_id":"531a2d95-4f25-46d1-9c97-1d3c740c47ef","year":1964},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.648852Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:f8ed06e31cb96027930285e3f043d61df23045dfa231e879cb122373061d3b80","observation_id":"ab29fa3e-818d-4039-96f1-e8e3be45ac40","resolution":{"observed_at":"2026-08-14T11:06:50.962912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.943531Z","title":"Friedman, Stochastic Differential Equations and Applications , Volume 1","venue":null,"work_id":"49c399e7-b898-4b80-abc2-a0ae2a8ec5a4","year":1975},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.652912Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:7cdc1a518e38e842884d102d0f8160341146f7c1c29548ccbb0ffb57d47dc181","observation_id":"d68afe5c-e6cc-4ae7-8cb7-9915340fd0a5","resolution":{"observed_at":"2026-08-14T11:06:50.948195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.08394","last_updated":"2019-12-08T07:05:44Z","snapshot_observed_at":"2026-08-14T21:23:42.572098Z","submitted_at":"2016-12-26T14:43:52Z","title":"Ergodic theory of Random Anosov systems mixing on fibers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.08394","snapshot_observed_at":"2026-08-14T11:06:50.657085Z","title":"Huang, Z","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.657085Z"},"links":{"cited_paper":"/paper/1612.08394","citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:2ffeb92b0a26f83c1af1ed500522c6740260dea43407467a18f35cd7be48b817","observation_id":"cc25f7bc-9794-43b9-bdcc-0b30ace0dcc2","resolution":{"observed_at":"2026-08-14T11:06:50.657085Z","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":"2026-08-14T11:06:50.929138Z","title":"Ikeda and S","venue":null,"work_id":"0c26ebb1-133a-47aa-a8e1-cce90bd51f09","year":1989},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.661481Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:73c0f3af45acd99a5e60f8112b0065028171ac3041dba8e50125b14493dbe115","observation_id":"39c9051d-6991-4f4a-b0d4-295e77cf4d4f","resolution":{"observed_at":"2026-08-14T11:06:50.933753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.914467Z","title":"Iolov, S.Ditlevsen and A","venue":null,"work_id":"7a85eb35-f9eb-49df-875f-e94916430444","year":2014},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.665536Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:956c911b3608c55caf856c790fe08859fff3647513cc2c658ee19291a2f4a352","observation_id":"67e14649-6d40-4a12-aba7-fea604cef49b","resolution":{"observed_at":"2026-08-14T11:06:50.919243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.900414Z","title":"Karatzas and S","venue":null,"work_id":"29aa273c-8790-4c3c-9a09-9daf459dfbd7","year":1991},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.669621Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:ebed1ef253f25ecc6d03136f4186b7e8faae150c6b1dc09607086e4960d86442","observation_id":"4b79914b-4ac6-47f8-adb0-97a789e821ed","resolution":{"observed_at":"2026-08-14T11:06:50.904535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.886171Z","title":"Kazamaki, Continuous Exponential Martingales and BMO , Springer, 1994","venue":null,"work_id":"4f83852f-8acc-4b00-abe7-f839da127935","year":1994},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.674028Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:de57ce86edefe1c6858958cd914082d1b188ec108fb4ecdabe4afc134e8eb4a0","observation_id":"b9dc256a-949c-4c3e-9da4-95b285f5c614","resolution":{"observed_at":"2026-08-14T11:06:50.890701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.871968Z","title":null,"venue":null,"work_id":"a038c20e-2570-4f02-85ee-b194a915cd18","year":1954},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.679361Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:8a193806adb34fef325c2e9f14a54b2b7bda5b9118a66f23d1ba5b47e1ffeab1","observation_id":"af887ec9-6200-4030-bd39-16849819f3fc","resolution":{"observed_at":"2026-08-14T11:06:50.876395Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.857119Z","title":"Kunita, Stochastic Flows and Stochastic Differential Equations , Cambridge University Press, 1990","venue":null,"work_id":"69df6699-2c13-4344-828a-a5b8f90d47b7","year":1990},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.683836Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:7f6687860b4bd45fdda191702e5330f8c5e3d8117f7a58e98331af63fad011b6","observation_id":"db02cb21-5cc3-412b-9500-0526020b1f18","resolution":{"observed_at":"2026-08-14T11:06:50.862518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.840557Z","title":null,"venue":null,"work_id":"d5086154-ccc2-4375-9d1f-03dcef965c15","year":2002},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.688530Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:1397f1dcb2d33cae5ee1c932ef4fd90716fc259df9e32fbcb35dbb9e53fe6457","observation_id":"631d43ad-c31b-41bf-9f8d-0a9403ee9dd7","resolution":{"observed_at":"2026-08-14T11:06:50.845888Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.825099Z","title":null,"venue":null,"work_id":"60c29165-2de8-4bd9-b77e-d64f3a09a8b0","year":1962},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.693189Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:c0849a7fb32aa534844792d421320ba6fecd3379c723bd16dae4f0d414160112","observation_id":"cb515fee-b173-4f73-ad0b-6a296a88c08a","resolution":{"observed_at":"2026-08-14T11:06:50.829987Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.809325Z","title":"Walters, An Introduction to Ergodic Theory, Graduate Tests in Mathem atics, 79, Springer-Verlag New York, 1982","venue":null,"work_id":"f2b7ceaa-e6d2-41d4-af9e-818e8dd9137c","year":1982},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.697815Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:cae723fdda1f5532dc377e0b607b6d0a3eb3df753bbb51ed0fa6c2e383aa02e8","observation_id":"956fdaac-8166-46c0-b327-05e4c661934c","resolution":{"observed_at":"2026-08-14T11:06:50.814273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.793176Z","title":"Wang, Existence, stability and bifurcation of ran dom complete and periodic solutions of stochastic parabolic equations, Nonlinear Analysis, Vol","venue":null,"work_id":"eb089adb-6efa-4153-a032-5760cd81cb12","year":2014},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.702268Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:a3bd5c4af622a1f51273f635708d58217966a3eda3b3901dbc618c0184617736","observation_id":"01295993-305f-4e59-a03b-d9452d4973bd","resolution":{"observed_at":"2026-08-14T11:06:50.798163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-14T11:06:50.777750Z","title":"Zhao and Z.H","venue":null,"work_id":"c8c39bb3-b588-4793-98b8-a02b082719eb","year":2009},"citing_paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T11:06:50.706856Z"},"links":{"citing_paper":"/paper/1908.10015"},"observation_digest":"sha256:6e43248cee356ae27464193baf4148dfabaf332ed82612c0a41b31ba4af5d132","observation_id":"69949330-c2d0-4ab3-a598-9dc96b89cb45","resolution":{"observed_at":"2026-08-14T11:06:50.782820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.10015","last_updated":"2021-03-11T15:22:56Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-18T00:53:42.423897Z","submitted_at":"2019-08-27T04:15:20Z","title":"Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":16},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.10015."}