{"as_of":"2026-08-19T02:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:af271076bb24facc6ce6a0aba03f5e88c3d250852f38e4b217a026e534d109ee","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T10:52:33.838415Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2504.17407/citation-record","integrity":"/paper/2504.17407/integrity","json":"/paper/2504.17407/citation-record.json","paper":"/paper/2504.17407"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:52:34.218899Z","title":"Adams and J","venue":null,"work_id":"c3ffa352-d837-4726-9fcd-3acba7e0194e","year":2025},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.735371Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:bed9189d80dfb3378ec155e8f10b3523677b6937f2629c5939b2a9821c3193da","observation_id":"a247715f-412e-4b72-a009-3eab67e4bd1e","resolution":{"observed_at":"2026-08-16T10:52:34.222154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.04232","last_updated":"2024-06-06T16:31:32Z","snapshot_observed_at":"2026-08-16T13:45:27.466165Z","submitted_at":"2024-06-06T16:31:32Z","title":"Multidimensional Stability of Planar Travelling Waves for Stochastically Perturbed Reaction-Diffusion Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.04232","snapshot_observed_at":"2026-08-16T10:52:33.740755Z","title":"van den Bosch and H.J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.740755Z"},"links":{"cited_paper":"/paper/2406.04232","citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:1f2815fbda34ff3be2acb52485f00bce4ad85d52df0c5d3f4ca1083d79d6efca","observation_id":"db37c969-f5b8-4f0f-83db-d219177dab64","resolution":{"observed_at":"2026-08-16T10:52:33.740755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.09350","last_updated":"2025-04-12T21:44:34Z","snapshot_observed_at":"2026-08-16T12:41:43.738975Z","submitted_at":"2025-04-12T21:44:34Z","title":"Local Phase Tracking and Metastability of Planar Waves in Stochastic Reaction-Diffusion Systems","version":1},"cited_work":{"arxiv_id":"2504.09350","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.09350","snapshot_observed_at":"2026-08-16T10:52:33.953256Z","title":"Local Phase Tracking and Metastability of Planar Waves in Stochastic Reaction-Diffusion Systems","venue":"math.AP","work_id":"24ab9722-76a1-4ac6-b6f2-994fd222b677","year":2025},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.745175Z"},"links":{"cited_paper":"/paper/2504.09350","citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:4cb355135a2db819550db67dec0774d6d65584147ebe28d1a68fca5f17d0e164","observation_id":"e8219bfe-f1c4-45d5-a993-f9c8cf5d4ce9","resolution":{"observed_at":"2026-08-16T10:52:33.958008Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.209305Z","title":"Boussinesq","venue":null,"work_id":"22a636d3-5852-417f-92a2-29c0459c7cd4","year":null},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.749387Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:b523a25f4113ca8031ae82ea2c74245393ac357118c27be205daf622ef1d710d","observation_id":"9406ba70-4dff-415a-9f0f-315c25ea4496","resolution":{"observed_at":"2026-08-16T10:52:34.212629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.200380Z","title":"Cartwright and G.A","venue":null,"work_id":"a95e2b09-1122-4309-823a-4e27270154b2","year":2021},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.753982Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:1a4df565eea02c62779f69323d5a4f8f741c4f153423e580b1fc7f1a1f562293","observation_id":"1d2aea06-a058-405b-9fae-4962fc85b630","resolution":{"observed_at":"2026-08-16T10:52:34.203476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.189626Z","title":"Da Prato, A","venue":null,"work_id":"8f25942c-8dd2-4421-a685-38b28defa943","year":2019},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.757817Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:e34c21ae650d50e8f6ae9b1c7eb9b5f0002fcdf0eb5aa55f8d499fce2d28348e","observation_id":"b4eb3ee2-f170-42f3-9483-97feb69de269","resolution":{"observed_at":"2026-08-16T10:52:34.193093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.180018Z","title":"Da Prato and J","venue":null,"work_id":"059bf147-4470-4521-afdd-06dacc34fa29","year":2014},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.762018Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:233568cb6a97dbb2d4ee04c3ddcc458c5f1fd4a190aa29f7740044f9ace8018a","observation_id":"e875b9f9-9d4f-48f9-9306-1e035452b2b4","resolution":{"observed_at":"2026-08-16T10:52:34.183742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.169474Z","title":"De Bouard and A","venue":null,"work_id":"1da0325c-1f09-444c-8734-5c1dd4f0df5c","year":2007},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.765663Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:8848cf03c3bcb4f00cdb9e00ac271e846f9082ddff0c0e0b3f698bbccd886410","observation_id":"600e5fa3-9230-4c50-9abf-1b324e97d8a0","resolution":{"observed_at":"2026-08-16T10:52:34.173369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.159848Z","title":"De Bouard and A","venue":null,"work_id":"302f8e26-e5b3-43c7-9c1f-a143117209d4","year":2007},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.769008Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:4e32494876f277455c9ddd04665f5506da2b7d87be4d3c64f9e5dd1c793ba096","observation_id":"13a9b781-ed72-4a2f-a554-13324dc9ff70","resolution":{"observed_at":"2026-08-16T10:52:34.163184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.149397Z","title":"De Bouard and A","venue":null,"work_id":"78445c34-76ea-4254-abe4-84fb43209116","year":2009},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.772075Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:c6a3e7576fa660730bd6e2c3cff0cf818934df2f2283af742daf3b5c4ec24ce0","observation_id":"4501dbb0-dbcf-4d73-bbd2-4c30485463c1","resolution":{"observed_at":"2026-08-16T10:52:34.152768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.139665Z","title":"De Bouard and R","venue":null,"work_id":"e5097b46-1817-44e3-991a-c3ec338d0b5e","year":2009},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.775147Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:2beeb922553366cc4ab14b3710626f1d9aab8838e5b587a69d3852a111fa3149","observation_id":"c856881e-c935-4379-9350-da46d2bf9bb7","resolution":{"observed_at":"2026-08-16T10:52:34.142913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.130184Z","title":"Eichinger, M.V","venue":null,"work_id":"080b6ca8-2dfe-4c41-9df0-e03030f1da7f","year":2022},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.778618Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:0b3ded7bf3ecc9e415cb94f988a180c73293c8abd432708ee2c5134461c3df4b","observation_id":"468e1f53-5343-4a12-bb22-ebd5cc223188","resolution":{"observed_at":"2026-08-16T10:52:34.133461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.119778Z","title":"Gardner, J.M","venue":null,"work_id":"006325ed-98f0-4811-98b9-0ecf951bd341","year":1967},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.781662Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:7df706517cd60dfdfabfbaf21fde1cf7d9d4c368357eb55a2ab0a096c0efee8b","observation_id":"45f4ed69-c6bd-4a92-b531-9090b8695994","resolution":{"observed_at":"2026-08-16T10:52:34.122936Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2403.04625","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:52:33.936436Z","title":"Gnann, R.W.S","venue":null,"work_id":"675e9319-fcaf-45ac-9bbe-91412bb5d5fe","year":2024},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.785159Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:570e98ab0fc0fe0b528d040231da8ebafe9a7b1c7e60e18ee0bfe2bc91055e78","observation_id":"fad526d6-0532-4228-a515-302f00732dc2","resolution":{"observed_at":"2026-08-16T10:52:33.943001Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.110013Z","title":"Hamster and H.J","venue":null,"work_id":"bf0781c4-d273-4671-8241-055fab4d38af","year":2020},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.788323Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:0037028b962c224edeff950d9e39c88f43b0e468e5a09909a80bcbc0884235e3","observation_id":"4cc59c40-3f96-4f0e-af58-13a037f445b5","resolution":{"observed_at":"2026-08-16T10:52:34.113426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.101012Z","title":null,"venue":null,"work_id":"fa4d0874-7012-4abe-b6e1-ecebcbf281fb","year":1990},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.792009Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:01097860ca26c0e3f1eb772ed5a5081fb6111f248bd20bfdb83dac22377b2801","observation_id":"ee040ec2-6d6b-41e8-8e82-48275fd87649","resolution":{"observed_at":"2026-08-16T10:52:34.104339Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.090963Z","title":"Korteweg and G","venue":null,"work_id":"35e9917a-09eb-41c8-a106-471e96ead7da","year":null},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.796048Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:aa14accb5702bbce64772c504e6ad894c62cf0ff9a5bb8b786120a6d79fbff32","observation_id":"478c0a2c-f5ad-4fa8-a4b8-ffe46b092b28","resolution":{"observed_at":"2026-08-16T10:52:34.094440Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.079944Z","title":"Kruger and W","venue":null,"work_id":"3d3c2349-437a-4693-9c73-bc3301b75f32","year":2014},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.799478Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:4196221098f8cf638afa882eb2f1ebfa39a56a844f4f46070ee798b8ba10e293","observation_id":"b53e1fda-6524-41cb-ab84-ccf7dd92cd76","resolution":{"observed_at":"2026-08-16T10:52:34.083626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.069273Z","title":"Liu and M","venue":null,"work_id":"6d4b78af-2371-49d5-88ff-77f0b88c8baa","year":2015},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.802896Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:f3c4598d5091340bfddc970805e65b0362e52d90ca3f8f46e0eae03a45d1750f","observation_id":"d95e1fff-7216-4bfb-a1ae-cae553a94de3","resolution":{"observed_at":"2026-08-16T10:52:34.072711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.059094Z","title":"MacLaurin","venue":null,"work_id":"14755efb-8b1b-4107-85db-819d08df6005","year":2023},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.806475Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:80cb7a077086064666867dabef53857bd2fd98c94b671bc40f64e7aad3c65437","observation_id":"b27b9012-85d7-4798-bdbd-bd02800e871a","resolution":{"observed_at":"2026-08-16T10:52:34.062412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.048125Z","title":"Merle and L","venue":null,"work_id":"1375b769-bc92-4180-825f-11a518d7e9b8","year":2003},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.809828Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:bac851cb9fe57f7d0015070f61f032b15eb7a0cd113891725c88d38cc2023a08","observation_id":"c163f75b-6ffe-458d-bf76-570967fec5a5","resolution":{"observed_at":"2026-08-16T10:52:34.051942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.038260Z","title":"Miura, C.S","venue":null,"work_id":"62156587-5997-4b53-a53d-dd2ba6c962dd","year":1968},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.814056Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:0cdc16f674c7f27d1beb70bc59e2255c912de63e52375005df424dd43f361afd","observation_id":"58e87c7b-2663-44e6-8043-54585a74c5bd","resolution":{"observed_at":"2026-08-16T10:52:34.041975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.026822Z","title":"Mizumachi and N","venue":null,"work_id":"485623b9-a4c7-4efe-985d-848853d3b594","year":2014},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.818256Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:2104f49d26ee2715e2eb329baa443c01df103e32b3387bcb1b5e84c00cf84307","observation_id":"63125588-d57d-4b06-8aaa-2790aac0fde7","resolution":{"observed_at":"2026-08-16T10:52:34.031079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.016545Z","title":"van Neerven and M.C","venue":null,"work_id":"bf6e8aea-9152-4ecf-a57b-57ce83156b1c","year":2020},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.821334Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:634d2d14e7d43e097a40c89e0dc21ad4f0b55c093f16139de5aa6689b9f77597","observation_id":"801e9e32-1123-4f43-af5e-c546903d9958","resolution":{"observed_at":"2026-08-16T10:52:34.020128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:34.006072Z","title":"Pego and M.I","venue":null,"work_id":"598d1eaa-e1e4-4b3c-9ef3-32b97279b82c","year":1994},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.824593Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:97542054977a2e02421fbe5dac149f973ee79e2e3fd4f4f30089bc95a8387dc7","observation_id":"e9f33b7e-348c-4512-b8be-ae3366ec2cd9","resolution":{"observed_at":"2026-08-16T10:52:34.009931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:33.996140Z","title":"Veraar and L","venue":null,"work_id":"6e766cf2-3c18-4d33-94e4-b275051cbc9d","year":2011},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.828103Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:7b383f9c5e3b641087938efec5721d227cf6e2d1345e8de23e33a5cdf8117bf9","observation_id":"866ddfc8-42b5-448e-b84c-9ba9b062e36a","resolution":{"observed_at":"2026-08-16T10:52:33.999436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:33.985754Z","title":"Westdorp and H.J","venue":null,"work_id":"d5a16639-1b4f-4777-a914-7775e94fc404","year":2024},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.831558Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:d7282851976fff738251250aaed584ea53b69f74bba3f0a241f773ac9a3255be","observation_id":"5fa8fbe5-27a4-4254-92b7-5cd01bb36447","resolution":{"observed_at":"2026-08-16T10:52:33.989581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T10:52:33.974295Z","title":"Westdorp and H.J","venue":null,"work_id":"e2f54541-974c-4e59-9755-50c454d3ced4","year":2025},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.835057Z"},"links":{"citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:3227cb3e8493c41a928e7745aea5df566a3ba118c52f2791694f28e2cfd69a7b","observation_id":"8aa0d6a3-7032-44b3-b123-20b568eecbf6","resolution":{"observed_at":"2026-08-16T10:52:33.978672Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.16642","last_updated":"2024-06-24T13:46:58Z","snapshot_observed_at":"2026-08-16T13:40:08.353254Z","submitted_at":"2024-06-24T13:46:58Z","title":"Noncommutative orbital stability of stochastic patterns in Banach spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.16642","snapshot_observed_at":"2026-08-16T10:52:33.838415Z","title":"van Winden","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T10:52:33.838415Z"},"links":{"cited_paper":"/paper/2406.16642","citing_paper":"/paper/2504.17407"},"observation_digest":"sha256:d8aaebbc81aa6b013162764038b61af0a8f75410296eb982325291a149796eb1","observation_id":"c2b0471f-d0be-47e7-9ed8-9ca406f9e286","resolution":{"observed_at":"2026-08-16T10:52:33.838415Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2504.17407","last_updated":"2025-04-24T09:58:03Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-18T08:43:31.259365Z","submitted_at":"2025-04-24T09:58:03Z","title":"Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":24},"total_outbound_references":29},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2504.17407."}