{"as_of":"2026-08-12T07:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:727650309f4b864f473405fd083c5853a8d136d032f1f4d9f3bc358a225ada4b","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T14:08:20.854946Z","state":"measured"},{"denominator":53,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":53,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2412.12530/citation-record","integrity":"/paper/2412.12530/integrity","json":"/paper/2412.12530/citation-record.json","paper":"/paper/2412.12530"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T14:08:23.697272Z","title":null,"venue":null,"work_id":"99178963-d26c-4c46-9a2e-0927514acb25","year":2012},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.445172Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:caffd45cab2c7a2012903ac292973182d2bf9e6b1a5b37e290b46ae6386a7dcf","observation_id":"cd51e904-8dee-438e-bf12-f1ac27b69f1e","resolution":{"observed_at":"2026-08-11T14:08:23.754958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.664008Z","title":null,"venue":null,"work_id":"c325f66a-5766-4a20-8344-a9de2364cf60","year":2004},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.454128Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:b1a2021d6423d407cb9ae4ad407bacfd3b8da152c8331b882ad08afc90169d39","observation_id":"601ca234-9cde-45c1-b955-971815cacb46","resolution":{"observed_at":"2026-08-11T14:08:23.680355Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.557728Z","title":null,"venue":null,"work_id":"3ad28e6a-1aa2-49d7-84f8-ab9d20f5b528","year":2023},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.460575Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:c1b716e312b3011260b7bc72b613b8ef59b2503b0db883124931d897182a9427","observation_id":"6c5e63a4-aa33-4ba5-91d2-956a79f850e7","resolution":{"observed_at":"2026-08-11T14:08:23.606798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.464638Z","title":"Bahouri, J.-Y","venue":null,"work_id":"89c7390d-9a15-4b4d-9248-f1682dc53a63","year":2011},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.470099Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:518918ca24a0dc467c84ccb4acb05e643c8b9d1104fd1c42d8dd3c43cdef64b0","observation_id":"32e704d5-87fd-4b97-8553-cd7b5d8377b2","resolution":{"observed_at":"2026-08-11T14:08:23.477826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.415367Z","title":"Bringmann, R","venue":null,"work_id":"74418eb9-c775-41a9-9a6c-ed9dd6a83ba5","year":2021},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.482186Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:91e38c27cbfa71129617dff5970c8145750ea4ca0adde661fe9af4a553af21be","observation_id":"6a14c216-9ccc-4d49-bf67-75bdc48d3133","resolution":{"observed_at":"2026-08-11T14:08:23.424908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.361487Z","title":"Buckmaster and H","venue":null,"work_id":"b8a68fcb-8b2b-4a74-9a78-641ec7643f08","year":2015},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.488509Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:ea3eb6c7715681148a9079465388b351a3bda2f47202fc01ed9b9db40576e479","observation_id":"39cfd3e9-1fae-46c9-bc50-168b6918f098","resolution":{"observed_at":"2026-08-11T14:08:23.389459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.275204Z","title":"Candy and S","venue":null,"work_id":"07f8262e-ef77-4a37-8724-2a7ee390ed6d","year":2018},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.495270Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:ce2eb97449b9644cc8d0f1553fe569ef43b87422d946734f8544ac49faa37665","observation_id":"85d7ad39-c7fb-48b4-9965-d5c204fc9ab0","resolution":{"observed_at":"2026-08-11T14:08:23.315406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.188930Z","title":"Chakravarty and Y","venue":null,"work_id":"8329f38b-a67f-44a2-af1c-7b63b3818909","year":2008},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.502799Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:998298777e26dcafb0e1a0c1abbc3b488292997b6786551d12e5fc2caa39b6a2","observation_id":"d8e7ffa0-173a-48e3-89d5-217ba910e921","resolution":{"observed_at":"2026-08-11T14:08:23.198049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.153709Z","title":null,"venue":null,"work_id":"3ec68c82-e51c-4317-befb-30a4fcb68b6d","year":1977},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.511161Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:b9cd18c60e0a366b8a44f1cb2e896797e13d9e337abf1d9a01bf9346aaf7d157","observation_id":"e2788bc6-c485-49c9-aed6-1c0132fea19d","resolution":{"observed_at":"2026-08-11T14:08:23.168359Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:23.077239Z","title":"Fl¨ ugge.Practical quantum mechanics","venue":null,"work_id":"3e654ea5-b7e5-4775-af97-2088c4c2744e","year":1999},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.516736Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:83f7a1b7f12a635232186692874bc9fc41b263612fa69a7401334c8d8aa66357","observation_id":"9cde3f94-c7af-4bcf-83f8-5207bf488d47","resolution":{"observed_at":"2026-08-11T14:08:23.104751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.967131Z","title":null,"venue":null,"work_id":"7feed74c-d850-4c68-9d5d-013a57c846fd","year":1967},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.524144Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:29ae05774c75dc28a49afb308af5b234feb4fbe4a03c91cb831777f45dcd8ff8","observation_id":"1cbe9347-00c6-4889-8df4-cac04489faa4","resolution":{"observed_at":"2026-08-11T14:08:23.009166Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.906827Z","title":"G´ erard, T","venue":null,"work_id":"aa8b0ef5-26d7-4bad-823f-b1467a276076","year":2023},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.533398Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:8c22992c8de5aa896683fd2ba72c67529d088948a2b33979e04d1129824fa3fa","observation_id":"786f39f8-e938-431e-b107-03a3f40481e2","resolution":{"observed_at":"2026-08-11T14:08:22.920584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.864311Z","title":"Grafakos","venue":null,"work_id":"745791d4-23d4-43ac-85e2-56cb9e711040","year":2014},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.542763Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:3256e32762815c146d3bdca0adde1c96ac2d28e23a719d6900a919186a7d181f","observation_id":"29d5a89e-46a6-4832-b9df-b6a12e0ebb8c","resolution":{"observed_at":"2026-08-11T14:08:22.883211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.775469Z","title":null,"venue":null,"work_id":"fc339dc4-a3dc-46d9-9fd1-42c34c827cfe","year":2008},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.550533Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:53f6b388ba2436667e30434d3755d16d88578e9bcdfbc97c74eee116fe471dad","observation_id":"22decb0b-8c74-48f5-87b9-dc843ad15cd8","resolution":{"observed_at":"2026-08-11T14:08:22.832797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.638020Z","title":"Hadac, S","venue":null,"work_id":"5fe9a644-c053-4699-852c-1de3c9d00982","year":2009},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.558196Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:d2747d9dc0e3a8f05d3b1723b8aedf728139cf6915118549499e00bb293fc49f","observation_id":"a2aa7731-d566-4dac-afac-cccb9855ba5a","resolution":{"observed_at":"2026-08-11T14:08:22.683410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.578715Z","title":"Harrop-Griﬃths, R","venue":null,"work_id":"36fc1411-279c-4158-960c-1eb99582fec4","year":2024},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.564152Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:ca7bfc84cd21d9919b1122bb1290b9ed3d5e035178cbb82bdb28eb05bc406856","observation_id":"ceea6393-380b-403d-ad91-9c7077ea90e7","resolution":{"observed_at":"2026-08-11T14:08:22.605827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.552718Z","title":"John and L","venue":null,"work_id":"c2fc8e76-9214-4a38-8ed5-6a3e70d03485","year":1961},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.573461Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:850fd52c1aefc66925c2349193a293b8754571dcc9f3e85dbf1a0938f482a7e7","observation_id":"78c0f3c3-cf29-4da8-8cfc-297bbb04c40b","resolution":{"observed_at":"2026-08-11T14:08:22.560972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.493826Z","title":"Kappeler and P","venue":null,"work_id":"64123c2a-7bc1-4048-9ef0-4b548905aa46","year":2005},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.579092Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:aab68297b5164ee9e9b119693c8eec39a67eb15d30f6059974c1ef7294475b08","observation_id":"342d6f5f-236b-4ec5-bbe1-05eb6214daf6","resolution":{"observed_at":"2026-08-11T14:08:22.524642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.403097Z","title":"Kappeler and P","venue":null,"work_id":"189e6a04-0ee0-4a5a-95c4-992069c02056","year":2006},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.587422Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:329a2c3d90ea818c179795fc29cbe39d3a0c32f812be0ca4f463f26b99dfc8bb","observation_id":"24860307-6bc0-40ab-9541-c44fd76968f9","resolution":{"observed_at":"2026-08-11T14:08:22.437779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.268354Z","title":null,"venue":null,"work_id":"e860aac4-cacc-4ff7-a94e-e66042f7f1df","year":2005},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.593835Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:4f9dbc33a2700091f35e9bc18abc52349938fd22a5f9acdb1551f23ba112d5e8","observation_id":"ad6bf063-90ea-4072-ab74-6f6d11760cdb","resolution":{"observed_at":"2026-08-11T14:08:22.340651Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.240737Z","title":null,"venue":null,"work_id":"46b1784b-b489-4194-9bd2-02fc5deafbd8","year":2006},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.599580Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:60d7b8328d0830395f725ea80a40893919bc5eefa85528dc006e111b042c42f8","observation_id":"17422acb-b86c-4073-a8d9-b8733c9a0f44","resolution":{"observed_at":"2026-08-11T14:08:22.250159Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.096861Z","title":"Killip, T","venue":null,"work_id":"f4b78c07-c888-4125-b422-e42ccba06740","year":2024},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.606562Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:f379819914eb35ebb5912a2cf50af7ba121857daa2f1addce08e6a98cef1f776","observation_id":"a784a045-609f-46fd-87cc-1f688f9fe536","resolution":{"observed_at":"2026-08-11T14:08:22.164844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:22.054857Z","title":"Killip and M","venue":null,"work_id":"ec935227-6dd7-42ea-9719-c21effecc116","year":2019},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.612523Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:315f89bfb2e8a3b615dd527c4aea1fde081e75696e0e706a84476222f2b78154","observation_id":"a569fb11-2cf7-4528-98dc-668960fd23e8","resolution":{"observed_at":"2026-08-11T14:08:22.075809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.952144Z","title":"Killip and M","venue":null,"work_id":"f47e19ca-1ce4-4c20-91f4-69f5b9d8c1c7","year":2022},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.617825Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:0292d09ca9beecfce536f69cb810ecfdfb168f692506708a1e64df410f839c96","observation_id":"7bf359c8-1b9b-4f05-8ae8-da4c596272cf","resolution":{"observed_at":"2026-08-11T14:08:21.987089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.925747Z","title":"Koch and X","venue":null,"work_id":"6160cb5f-63b2-4c64-9e8f-34bd17e45d43","year":2021},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.631970Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:73cd595e9b97254cac6457b876521043b80d53bce388baa91fd867ad9204e17b","observation_id":"a977f6df-eb17-4af6-8f7e-13f1d01718a6","resolution":{"observed_at":"2026-08-11T14:08:21.933814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.894796Z","title":"Koch and X","venue":null,"work_id":"fca50ddb-4f53-4a75-9134-e1f1e0ef2ca1","year":2023},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.640028Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:461b417928b0da370a71c3554b2c9a04ccff4a3eebf9730942abca4dc3d6a718","observation_id":"503e74f9-1cf5-4513-9977-ef7ab2edc7ea","resolution":{"observed_at":"2026-08-11T14:08:21.908914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.849307Z","title":"Koch and D","venue":null,"work_id":"711e7317-b23f-4cf5-bbab-0b4a664b9ab9","year":2018},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.647615Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:a13876815e6862b4954e78f313d3f707b2c9b04e853df95fa82ac9aa12c04bfb","observation_id":"736383e0-e09b-4844-be8f-cacabaf757c0","resolution":{"observed_at":"2026-08-11T14:08:21.865809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.821057Z","title":"Koch and D","venue":null,"work_id":"31b2b742-d3a1-4c69-bfde-b977bd9a96e2","year":2024},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.654734Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:9dc71f80fc8340c6222f9118b96ffab4b23ba5d07b20c6b79d01b54e8dcad380","observation_id":"4ba3e6ce-a31f-4d34-9a88-8736d344ca09","resolution":{"observed_at":"2026-08-11T14:08:21.828756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.786548Z","title":null,"venue":null,"work_id":"7045dcf4-30a5-4a60-8b33-9bc4b05a6ecc","year":2014},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.664728Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:a0cf7826366fbe62ceeccc730fcae286b9b1682195c1a7ccef5c1acb0e1a57bf","observation_id":"86ad3311-552f-44e5-a395-563cbfee111e","resolution":{"observed_at":"2026-08-11T14:08:21.796488Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.07679","last_updated":"2024-09-25T22:09:30Z","snapshot_observed_at":"2026-07-06T16:06:22.526631Z","submitted_at":"2023-08-15T10:12:14Z","title":"Asymptotic stability of the sine-Gordon kinks under perturbations in weighted Sobolev norms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.07679","snapshot_observed_at":"2026-08-11T14:08:20.673873Z","title":"Koch and D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.673873Z"},"links":{"cited_paper":"/paper/2308.07679","citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:7fd3c43d7446d6373babc1c5372ed1eb14a46aa43b3e4a77879dcbde9ebd9c22","observation_id":"35d1e1f4-271b-4d44-84bf-c7068ca7346e","resolution":{"observed_at":"2026-08-11T14:08:20.673873Z","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":"2026-08-11T14:08:21.739211Z","title":null,"venue":null,"work_id":"a1f0584c-8ba5-4cd0-8f74-50a48bc09d69","year":2017},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.680735Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:7ab8934768f938a65a99ca277533b8c2cf3f262bd45ff651b238ca4625545c28","observation_id":"13ce1e3c-b1a2-4366-8f76-69abdb7c0782","resolution":{"observed_at":"2026-08-11T14:08:21.745570Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.716409Z","title":null,"venue":null,"work_id":"70c22ee6-518d-4921-aa3d-491b2a7cbf9b","year":2023},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.690288Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:6a4770fb232012119dfdae85f6afc35ab7efc26b9015952df9cf02487c27acdb","observation_id":"ee40003a-6a5e-4a23-9ea0-149b3ed6a18f","resolution":{"observed_at":"2026-08-11T14:08:21.723719Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.682366Z","title":null,"venue":null,"work_id":"6341a126-0087-400a-bf96-40e8dc1129f7","year":2002},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.700856Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:11cf2a2db14576d83e06dd646500ecc140b60a54029ae522decbf66cf5d43802","observation_id":"70745397-a99f-461e-8815-92654869a76d","resolution":{"observed_at":"2026-08-11T14:08:21.692191Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.648249Z","title":"Lin and Q","venue":null,"work_id":"9eee2c82-0573-4999-974e-48f70fc08068","year":2019},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.712136Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:e0e4e53470de96c1d72ce03ee93792c40883016bdcb01573437cbaba122e9f25","observation_id":"153148a7-ac93-4f1a-8699-6b07be78d3f4","resolution":{"observed_at":"2026-08-11T14:08:21.661275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.617322Z","title":"Merle and L","venue":null,"work_id":"6dafa4ac-a067-4be8-9498-3e3bb2400dbb","year":2003},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.720519Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:0b3b8b8225b101c5f33fc9a34a95368f6eb73f91c457e8f3b05be95d0c653beb","observation_id":"6ea4539a-a6cf-49ae-98d1-0f1469b58ae2","resolution":{"observed_at":"2026-08-11T14:08:21.627029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.589760Z","title":"Mizumachi","venue":null,"work_id":"e608c733-4106-41ed-ba2f-41941295cb76","year":2015},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.729258Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:6c5123b99a5994ef87108d6bd85b0d2d9f8c1b1e911f2fbe7af460490cb80832","observation_id":"f755920e-16c7-4e39-81df-d62ab3ee5b85","resolution":{"observed_at":"2026-08-11T14:08:21.596478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.545245Z","title":"Mizumachi","venue":null,"work_id":"a27638df-f049-4991-9f60-febf44e2c567","year":2018},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.735963Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:f4f16834d9c3bcd2cf10fdf9e5e9b7bcdfb66156fea7619cce8686bffe960bc8","observation_id":"62c4f066-9614-4ff9-a5ef-f1d359ed7998","resolution":{"observed_at":"2026-08-11T14:08:21.553749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.517142Z","title":"Mizumachi","venue":null,"work_id":"540cc865-8742-4fd8-aacf-688f429cb7bb","year":2019},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.744451Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:4a74f18fe61fd095d3b50419ac01d4f8c42ad681b3e1bd6a8ff477f5047ce95e","observation_id":"ab4c51d8-a7c3-4182-b599-32502d5df1fc","resolution":{"observed_at":"2026-08-11T14:08:21.524424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.482240Z","title":"Mizumachi","venue":null,"work_id":"0cff485f-026a-47e1-9d39-fd5e584c7ea0","year":2024},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.750537Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:951662c95d960b357c1cdcee6fb23544f9e609c647cc86b09e6d9fdf6bbb89a7","observation_id":"c40c18bf-272d-48a5-9bd9-9a49b2cb762e","resolution":{"observed_at":"2026-08-11T14:08:21.489057Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.436564Z","title":"Mizumachi and D","venue":null,"work_id":"16df80a1-845c-4f2a-b8cd-6bcbf12b08e5","year":2012},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.758950Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:e01f73f33b76502bd2cf927f04b1124a24ac8660356560fb0ac087c72a9acf90","observation_id":"67474ba4-2eb3-4fe0-bc21-a296215aa6ce","resolution":{"observed_at":"2026-08-11T14:08:21.468221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.373297Z","title":"Mizumachi and Y","venue":null,"work_id":"7aa397f0-c53f-4501-88e7-b98e114a02a5","year":2020},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.770247Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:2dfa09424ce263e47e524665bc650d3e9d81e5d74790b2dea5c742140b32ef24","observation_id":"5662ef34-e113-493f-b3b2-5988a583b8dc","resolution":{"observed_at":"2026-08-11T14:08:21.387496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.333729Z","title":"Mizumachi and N","venue":null,"work_id":"4c28bfb6-1163-4d08-9639-ab6c66438287","year":2012},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.781093Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:b2c8b63aed02a34ae8d0bc61f28335b468e63328de3d44dfc22ea12bee9db98f","observation_id":"43666dd0-6769-4e08-b923-edcb1104026d","resolution":{"observed_at":"2026-08-11T14:08:21.343125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.283458Z","title":"Molinet, J.-C","venue":null,"work_id":"f9d9b0ac-6205-4efe-b543-ddb64ecd43a5","year":2011},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.786901Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:7f6e5f82e1164f5de83b95849b5dddbb68822278473de7a8cdf3d7f016644ced","observation_id":"7d53b819-5270-4e3a-80fe-42d1507d755e","resolution":{"observed_at":"2026-08-11T14:08:21.304609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.240762Z","title":null,"venue":null,"work_id":"9b4cf6cc-8665-47b9-95d7-90dde2f3a126","year":1963},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.793345Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:876eadee80a8c4f0a5bd5c49cc5d8958d188dbac9b9201c4c84c1a54db362914","observation_id":"466c56b3-856f-4fff-8f6e-358b7556a201","resolution":{"observed_at":"2026-08-11T14:08:21.259986Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.206437Z","title":null,"venue":null,"work_id":"5c8ecd30-9447-403b-84c5-0cce32a9272c","year":1997},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.799470Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:cbda88021d98b2d41ac8d2ed76104771a4ca7b955f95cbfa356f09f80200caa7","observation_id":"db06ae97-c27c-46cb-b85a-f415698b05df","resolution":{"observed_at":"2026-08-11T14:08:21.213599Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.169089Z","title":"Soria and P","venue":null,"work_id":"03b6c226-1067-41e1-9514-79c2f4886d71","year":2019},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.805227Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:ebb0896edb9081f67d2a36b1e221eb31c03b3f02cc422681cecc6facda7cea79","observation_id":"2754a4f1-2463-4624-b519-b54a5031da2d","resolution":{"observed_at":"2026-08-11T14:08:21.180752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.133282Z","title":null,"venue":null,"work_id":"f835459f-95b3-45e3-961e-b64d9a2b5fc8","year":null},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.811602Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:d3755e099a2c444721bf036af49f1c985d56185311bfa98913d2782657cb7611","observation_id":"773c9fd7-e511-4c16-b7af-86eaa504db97","resolution":{"observed_at":"2026-08-11T14:08:21.148950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T14:08:20.818094Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.818094Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:923f22433b6fc2b744cdbafef30c8cfea7d413cd19a5f31ac404625ebc81b721","observation_id":"f5941f6e-21f2-459e-b4f0-cc2cd5af4f78","resolution":{"observed_at":"2026-08-11T14:08:20.818094Z","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":"2026-08-11T14:08:21.079360Z","title":null,"venue":null,"work_id":"5cc4403d-de06-492a-ac5d-79f5ca064ba7","year":1993},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.825946Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:d095267a72ce9c7117a0980572e19bc13263de125dd39fc6fd93cc2a9e679c89","observation_id":"d4531370-ba50-4526-967a-478e94bce636","resolution":{"observed_at":"2026-08-11T14:08:21.086566Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.052056Z","title":null,"venue":null,"work_id":"5b9d5846-6e60-4063-b17b-48237674d269","year":2021},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.833408Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:d9e4cec752bf6162bcff34d87f325feda98e18bab5c7e360704688311da1ed45","observation_id":"f925eb8b-6978-4334-a571-9d90e18e5dcb","resolution":{"observed_at":"2026-08-11T14:08:21.059672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:21.020757Z","title":"Villarroel and M","venue":null,"work_id":"61c0520d-bb9c-46f2-8a01-23a1bc196405","year":2004},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.840108Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:705d7deec7bf241603c0bc9cd3e4447bfdeab87315591795d0934e4db5b3b882","observation_id":"96713bc2-09d6-42f6-833d-4825bc88b5e1","resolution":{"observed_at":"2026-08-11T14:08:21.030006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T14:08:20.996654Z","title":null,"venue":null,"work_id":"15342583-dd8c-468f-ba84-b617e7dd9a86","year":2020},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.847126Z"},"links":{"citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:5a7027b37204c277c613c499bf55a330dd456d71066bb167d04fb9ee5a9f2d1d","observation_id":"9c791bac-ad12-4c07-8003-82242b2b8ad9","resolution":{"observed_at":"2026-08-11T14:08:21.004118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.07432","last_updated":"2024-08-16T05:57:09Z","snapshot_observed_at":"2026-07-06T13:10:13.191724Z","submitted_at":"2022-05-16T02:46:35Z","title":"Stability of Kadomtsev-Petviashvili multi-line solitons","version":3},"cited_work":{"arxiv_id":"2205.07432","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.07432","snapshot_observed_at":"2026-08-11T14:08:20.927215Z","title":"Stability of Kadomtsev-Petviashvili multi-line solitons","venue":"math.AP","work_id":"724a220a-071a-43aa-90ad-9f18e795ecb4","year":2022},"citing_paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T14:08:20.854946Z"},"links":{"cited_paper":"/paper/2205.07432","citing_paper":"/paper/2412.12530"},"observation_digest":"sha256:db5602c48dcdf3bbe490d9c0c120a9190aef95ec648012b45be9f31c84497c47","observation_id":"5d1824ae-14bc-480d-b5f6-26334a8e23fa","resolution":{"observed_at":"2026-08-11T14:08:20.937400Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.12530","last_updated":"2024-12-17T04:40:56Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-11T20:14:30.797338Z","submitted_at":"2024-12-17T04:40:56Z","title":"On the B\\\"acklund transform and the stability of the line soliton of the KP-II equation on $\\mathbb R^2$"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":1,"verified_fuzzy":32},"total_outbound_references":53},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2412.12530."}