{"as_of":"2026-08-13T12:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2549c1fb5273ec40d69a4b1ae3c6df7dcd36610009813f7baf2abbb7f3c45f27","coverage":[{"denominator":69,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":69,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:45:09.911945Z","state":"measured"},{"denominator":69,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":69,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.16013/citation-record","integrity":"/paper/2411.16013/integrity","json":"/paper/2411.16013/citation-record.json","paper":"/paper/2411.16013"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:45:10.940306Z","title":"Added and S","venue":null,"work_id":"961e170d-246a-4f0f-b10d-cf3cdeed2019","year":1988},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.644842Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:ae6ec3dfd99393ffde7826ea8031651cbb257c95bc92578cec63d7a4a3492591","observation_id":"e907f597-3486-4f01-afb5-972f0960627f","resolution":{"observed_at":"2026-08-12T13:45:10.944155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.929833Z","title":null,"venue":null,"work_id":"ff85171e-e341-454c-8e8d-465fc7a0235f","year":2014},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.650335Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:ca6350ed0cefbf12cb4ac3dc6d4ce3e5993fd4899dcdcff239df3438df9ba9eb","observation_id":"764dc673-1f1c-4573-960b-39853d0826bd","resolution":{"observed_at":"2026-08-12T13:45:10.933233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.919351Z","title":"Barbu, Nonlinear Semigroups and Differential Equations in Banach S paces, Nordorff Publishers, Netherland, 1976","venue":null,"work_id":"9e445cc9-d2e0-4da4-89c9-f793719db779","year":1976},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.654890Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:b096fa205a4969638bdd3976a7a949215007ebce9a2336a332b1cdeb7357372c","observation_id":"9831228a-2417-4373-b40f-3d6698860908","resolution":{"observed_at":"2026-08-12T13:45:10.923269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.909620Z","title":"Becker and H","venue":null,"work_id":"f6dddbf3-7381-4d4f-b158-bf46e1332035","year":1979},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.659071Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:473f81afe970238fab71992f94e6b48b8b08db2cf4847259dc506bea2d2276e8","observation_id":"12d09c50-4213-430e-a01e-3a34db39616e","resolution":{"observed_at":"2026-08-12T13:45:10.913175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.899168Z","title":null,"venue":null,"work_id":"8e5540a6-2a75-4f59-a4e1-e19ec1658465","year":1966},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.663643Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:e4eb6aeca12e4dc702cc77d1b71dcf4e0d51d9da7e305ebaad5d2de3faa81a85","observation_id":"8c79c12c-0259-473c-8967-e8d650d96378","resolution":{"observed_at":"2026-08-12T13:45:10.903056Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.888694Z","title":null,"venue":null,"work_id":"6b697ec1-e175-4a85-854f-eae1ef123eb6","year":1971},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.668375Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:ea53cf49bb7f4e75e67c7cca609d1c0664e8bfecea7ad40382f6c5c4cba484ec","observation_id":"bf3c49af-e569-434e-ac35-7a5525c6eb9b","resolution":{"observed_at":"2026-08-12T13:45:10.892009Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.878621Z","title":"Cazenave and A","venue":null,"work_id":"2d409c29-57b8-46cf-b36b-8f1253190624","year":1998},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.673275Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:edd287c05459bd96f96cecc42cd84dbcf7fa0c0e185a65f024d78e211058be14","observation_id":"966aaea5-3bf3-42c7-ab33-67c5f01ff197","resolution":{"observed_at":"2026-08-12T13:45:10.881978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.868871Z","title":null,"venue":null,"work_id":"bd297bb0-670c-4096-b7f1-2e43f36348e7","year":1972},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.677115Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:bee8e6d1a923b462cc178949ea6b25f8256de59b504ce71a8814682b677fa57c","observation_id":"913e4266-7a04-456d-a759-e58c8e8d25b4","resolution":{"observed_at":"2026-08-12T13:45:10.872209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.858119Z","title":null,"venue":null,"work_id":"177cc93b-1332-4841-949d-d6e1cbe416a5","year":1973},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.680643Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:b44e25259e009c5a990658e91736513771865753f144d10905de6b90bd643dc4","observation_id":"c6c1e035-490b-478d-af0b-2a5b8c593beb","resolution":{"observed_at":"2026-08-12T13:45:10.861925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.847405Z","title":null,"venue":null,"work_id":"2a76144a-9636-4502-880a-827e735a6357","year":1973},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.684329Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:a2b61bd68f255fafa8f29ccf4cb023b7c34b410a2bc6a327c440acbadc4dcbf2","observation_id":"6682fb23-3b7d-429c-a96c-ebde11598445","resolution":{"observed_at":"2026-08-12T13:45:10.851376Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.836357Z","title":null,"venue":null,"work_id":"91837758-6941-463c-b686-8680c0903112","year":1974},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.688358Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:06770a528b4299f83ac2f03c9ad847620efb43e5efec54b8f47d9a75023e606a","observation_id":"89e3b18a-dc70-4562-915b-7f523bb64969","resolution":{"observed_at":"2026-08-12T13:45:10.840625Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.825105Z","title":"Da Prato, Quelques r´ esultats d’existence et r´ egularit´ e pour un probl´ eme non lin ´ ıre de la th´ eorie du contrˆ ole,Bull","venue":null,"work_id":"9dceb005-b292-472f-b3b3-0f797a1f9bec","year":1972},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.692607Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:eccec4091410c0c118ab74ca6817555154c02d93f31a3bc3da7f276882596262","observation_id":"122875f4-f680-430b-91b8-69709fdb2e91","resolution":{"observed_at":"2026-08-12T13:45:10.829462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.814891Z","title":"Da Prato and J","venue":null,"work_id":"f6b74723-0dbf-4035-a5d4-f6e93f5aab29","year":1996},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.696965Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:c28759916bef5ef756636a5f8fbdb479dae6e5d4b5dbfc12e23dba4c1d3d1216","observation_id":"68526433-1106-4c47-a6ff-d6d30a8d79ab","resolution":{"observed_at":"2026-08-12T13:45:10.818513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.804024Z","title":"Da Prato and J","venue":null,"work_id":"4b0a0bdf-9146-4b78-a358-05cde7ff5b5a","year":2014},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.700335Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:49f5b92bb38e484be1c5a356bd766473e06275eb8d6bdd36bce647fbf914f3c6","observation_id":"12174680-51a9-4e35-870e-690a08385ae6","resolution":{"observed_at":"2026-08-12T13:45:10.807684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.792979Z","title":"Dermoune, Non-commutative Burgers equation, Hokkaido mathematical journal , 25, (1996), 315-332","venue":null,"work_id":"0cfcb16a-5906-43a3-994b-cc67247ef0e3","year":1996},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.703890Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:fcb03e60fb7fc6a03a442315440b3b7890e80f745d9fce321120caa29def314b","observation_id":"ffc48386-2b46-41d2-8453-891b79a57373","resolution":{"observed_at":"2026-08-12T13:45:10.796995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.782550Z","title":null,"venue":null,"work_id":"35071145-4547-4267-a2e6-d6e1527091d1","year":1949},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.707649Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:cb9f59f139ba23e972146643d936cbf2d4a34df019107fa77c4fc0a0ecfa9f65","observation_id":"89873637-7709-4a7f-be42-c060a79c825b","resolution":{"observed_at":"2026-08-12T13:45:10.786226Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.772562Z","title":"Flato, J","venue":null,"work_id":"ac5b67ed-93b2-4f95-a099-5b77f8726ca5","year":1987},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.711353Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:03e83d4f23a67f470bedd99984072717f0fbfc96855754679a6aa896829a544d","observation_id":"e452df62-60bf-4f82-a838-6cbf697cbec4","resolution":{"observed_at":"2026-08-12T13:45:10.776165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.762639Z","title":null,"venue":null,"work_id":"d419173a-2684-455e-b774-38ada509a7ea","year":1964},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.715302Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:94c7926684d385581f62af05f6a32c65ceab971f9c6314402cd214368db0f41a","observation_id":"50877003-ae4b-4457-9cfc-99359ba3b2bc","resolution":{"observed_at":"2026-08-12T13:45:10.765992Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.752307Z","title":"Ginibre, Y","venue":null,"work_id":"be108084-3010-4d0a-b8d0-cab0f5474354","year":1997},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.718734Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:7dc2711bbe318f932e06bb77e8ab5cb707ec0896384c6fcf50e9942066f05e8a","observation_id":"fcf43c16-b757-4faf-aa5c-a9a086c6e040","resolution":{"observed_at":"2026-08-12T13:45:10.756107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.740771Z","title":"Gross, The Cauchy problem for the coupled Maxwell and Dirac equations, Communica- tions on Pure and Applied Mathematics , XIX, (1966), 1-15","venue":null,"work_id":"0cc16a88-9316-4b59-beb2-68f6ee71a320","year":1966},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.722506Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:cd649067b76ebdd23da560fc974cde08725df771cc46410963ba0b4ae2334f47","observation_id":"f3392c2c-8f02-4fb8-8a03-f722a0509637","resolution":{"observed_at":"2026-08-12T13:45:10.745159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.729843Z","title":"Akers, Jonah A","venue":null,"work_id":"20932c68-f3d0-4c75-8d0e-ddda1d3acc94","year":2019},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.726769Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:134a990a1f1b80870f536a782aca74d48edf341c79726427980cf3ddd836c97b","observation_id":"0f91a819-eead-4b93-a24d-42edb4cca4fb","resolution":{"observed_at":"2026-08-12T13:45:10.733434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.717641Z","title":"Hida, Brownian Motion , Springer-Verlag, New York, 1980","venue":null,"work_id":"a158a18f-cbfd-4e5c-b0b4-6552a2c33300","year":1980},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.730875Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:26b47414251ff743036550a57d43a6df93b99fe61700f1f70c32e638a7440ad4","observation_id":"139c442f-1598-4f89-a5ce-c19887ea526f","resolution":{"observed_at":"2026-08-12T13:45:10.721330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.707727Z","title":"Hida, H-H","venue":null,"work_id":"25db60ad-76d8-4bba-bbb0-24c8826c962e","year":1994},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.735072Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:ce933b4b3245659962807bef6d43774d514f8c02267383d1d826fae59d01ce03","observation_id":"b4b0f8b9-3843-4c80-82bc-7466c6caa024","resolution":{"observed_at":"2026-08-12T13:45:10.711274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.695723Z","title":"Hille and R","venue":null,"work_id":"af36e628-bd4c-4a04-b163-6c4f9ab25063","year":1996},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.738986Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:268f74685024d3c55a7b71dbd204b2e6304a473cc441a58f266a4800c0496ee2","observation_id":"c22ef777-9393-43ef-8732-5ff929dc7799","resolution":{"observed_at":"2026-08-12T13:45:10.700353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.683850Z","title":"Holden, B","venue":null,"work_id":"f4523a1d-f912-4bea-b97c-99da64e96057","year":2010},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.742781Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:5bdbdc3694a917e8d5fc964585e114c9683acde639ec74ddafc40428a8f7047c","observation_id":"85724b1d-dcf2-4011-b7ae-5410bcc071c1","resolution":{"observed_at":"2026-08-12T13:45:10.688558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.671506Z","title":null,"venue":null,"work_id":"a578f69b-2f7b-4ceb-ad5b-105eceebcb3e","year":2021},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.747408Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:b786a6e9a958692f2e32d3667592d22b2896b7a1424e261e0ca9e31888868ff8","observation_id":"045d1b2d-ed16-44f4-a6a8-6ed55d31a50e","resolution":{"observed_at":"2026-08-12T13:45:10.675385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.657388Z","title":"Kato, Perturbation Theory of Linear Operators , Springer-Verlag, Berlin, 1976","venue":null,"work_id":"8e694c3d-6728-4fe9-9319-747417069112","year":1976},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.751311Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:55b76287daa4a4023211bd2534fc9e62c50186fc2cc3b3c2b9c5d733992bb846","observation_id":"aa2c2748-4d72-472a-9ec0-2bdc4c9704b4","resolution":{"observed_at":"2026-08-12T13:45:10.662083Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.645051Z","title":"Kato, Linear and quasi-linear equations of evolutio ns of hyperbolic type, in: Hyperbol- icity, Edited by G","venue":null,"work_id":"f6f1052a-8cad-493d-963b-700c29bd950a","year":1976},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.755107Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:6c8e05f9db4394626d7e6023c79ef0152894cc23e702bbb21a014724e3cd9b7a","observation_id":"8bbedc65-85a7-47e2-9098-50641f4233d6","resolution":{"observed_at":"2026-08-12T13:45:10.649451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.629800Z","title":null,"venue":null,"work_id":"f8f15ec8-7d04-4967-b293-66f82daef21c","year":1993},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.758677Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:5e03e349de13e4433643400a5e459d0d360e9a8f87d5ace5b1a3519b61619faf","observation_id":"8a0c679d-7a7a-480d-a480-cc48251a673b","resolution":{"observed_at":"2026-08-12T13:45:10.636379Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.615387Z","title":"Kre´ e and R","venue":null,"work_id":"1e96438a-fe4b-4c4b-a821-ce9c998cffaf","year":1978},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.761976Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:54fb0a1c2b06ef7d53419ded69bac59c63d0dd0ac453c619381980b5cdb584e6","observation_id":"14dd5a37-40ac-45df-a685-82c2ec81e0b6","resolution":{"observed_at":"2026-08-12T13:45:10.620183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.603579Z","title":null,"venue":null,"work_id":"11fba7d5-bd44-4056-bde0-c808eef3032c","year":1980},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.765534Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:decb3e57ad2720aa027102c50da63a7b715bd798c108f7fdde7ce3bd071d6046","observation_id":"0b6549cf-24e3-4b26-bfbe-ca58c9658d9d","resolution":{"observed_at":"2026-08-12T13:45:10.608007Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.589713Z","title":null,"venue":null,"work_id":"8b3a6cbe-339c-4962-a102-147442d25a26","year":1985},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.770375Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:577ec458b178a55f5e06085298a462358485c23e9f7b4643e43508c9983a370f","observation_id":"e704d8b2-1099-4229-953e-b373d01daabb","resolution":{"observed_at":"2026-08-12T13:45:10.594000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.577295Z","title":"Kubo and S","venue":null,"work_id":"00cf3d29-e48d-4448-9bf8-423764dda9fd","year":1980},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.774839Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:d32800f7867b0b22a0d955146cc82df540a268a9055536a4d3c9a9630106e475","observation_id":"e3384035-d5cb-4a3a-bd9e-bdc3fb457325","resolution":{"observed_at":"2026-08-12T13:45:10.581773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.566707Z","title":"463, Springer-Verlag, New York, 1975","venue":null,"work_id":"dd930aa4-dd0c-43b9-8228-e0ddbd524fe8","year":1975},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.779059Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:7a1822973e927ec0f97caa8fbfd5ad8dd8dad4167b59b64d31bed74ff555055d","observation_id":"ef9e4659-3b13-48b4-9489-179a799ecef7","resolution":{"observed_at":"2026-08-12T13:45:10.570369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.556161Z","title":null,"venue":null,"work_id":"88e7a2b9-8977-4ad3-9518-3872d8cf2c28","year":1996},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.782578Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:0c89eba1d27ada20c7448c1c77e00a2c5e25c1b100ef529482486fff6592d285","observation_id":"44b9a2c0-1ee1-453a-a06a-03a824b81323","resolution":{"observed_at":"2026-08-12T13:45:10.559748Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.545574Z","title":null,"venue":null,"work_id":"bbdec510-238e-4714-83e6-39f0f900beda","year":2010},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.786158Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:5d1386a204a10550b0fce8b07b9df9ebfc895a5fd8ffbba39ff10980d6c51b7c","observation_id":"7df265e8-b98f-4428-b985-f85a2ecb69ea","resolution":{"observed_at":"2026-08-12T13:45:10.549403Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.532872Z","title":null,"venue":null,"work_id":"68bb8e74-8623-4080-ad88-bdc2d593c668","year":1973},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.790328Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:628a4081846dc480769a43df29fc0d7630c8ad33dcf0111088d13efd3dddcff3","observation_id":"9d71fb20-2612-4432-8811-221d6640577f","resolution":{"observed_at":"2026-08-12T13:45:10.536796Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.402960Z","title":null,"venue":null,"work_id":"514fc250-6f44-4701-b982-609dafa2195e","year":2017},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.794054Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:48852e93ed54128eaf932dcb169fe920e51984660a8331b60ca634eee4045f9b","observation_id":"dc346b4a-b682-4b13-b37b-08edf581d0c3","resolution":{"observed_at":"2026-08-12T13:45:10.407689Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.391065Z","title":null,"venue":null,"work_id":"4b5ed632-5c6f-4481-a5a1-3288adc60199","year":2018},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.797987Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:971159c04d349f02bbdb0ac4f2c459a64a8c48f0afa0f41e9c246eb7c2115d2f","observation_id":"a59b7c2b-dd22-4be5-8d47-eec901f81e42","resolution":{"observed_at":"2026-08-12T13:45:10.395264Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.377508Z","title":"Obata, An analytic characterization of symbols of op erators on white noise functionals, J","venue":null,"work_id":"2aa5c5cc-a454-44a3-add6-b3116a805783","year":1993},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.801366Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:daa2f3264573165d3f0f4321d48f6c20fcaf0ddf2defadc64564cfb53c9a08f6","observation_id":"34edfaa3-6bd9-4f52-95cd-b8531c8a4889","resolution":{"observed_at":"2026-08-12T13:45:10.383166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.364426Z","title":"Obata, White Noise Calculus and Fock Space , Springer-Verlag, New York, 1994","venue":null,"work_id":"7a0396b6-4867-4f0c-84d1-0d73666ddb4f","year":1994},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.805113Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:24080583497b00030644ed248f5dd0ef75411983a7941f548fdad775d5ad81d2","observation_id":"9669db28-cfa2-45b9-b84a-111ffa24441f","resolution":{"observed_at":"2026-08-12T13:45:10.369556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.345243Z","title":"Obata, Operator calculus on vector-valued white noi se functionals, J","venue":null,"work_id":"551bea84-b0d4-4905-81e5-881cb8471176","year":1994},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.808668Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:e328c4249edb7953a4df4d6de6834852ea35bf49f09d7dfad94f6ebbc34b9415","observation_id":"09dd971b-18a3-41e8-bed8-0f4ea6e4991d","resolution":{"observed_at":"2026-08-12T13:45:10.352962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.331944Z","title":"Obata, Quantum stochastic differential equations in terms of quantum white noise, Non- linear Analysis, Theory, Methods and Applications , 30, (1997),No.1, 279-290","venue":null,"work_id":"aa5a82be-1f18-44b5-bfbb-1249446dceb4","year":1997},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.812482Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:22007da22197ddcf0adbcf063bf3553bada4c400ca307e9ea67430cf0504cdfe","observation_id":"ef04d5bb-556f-4cc0-b5ea-0b461867df99","resolution":{"observed_at":"2026-08-12T13:45:10.335733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.320801Z","title":"Obata, Wick product of white noise operators and quan tum stochastic differential equa- tions, J","venue":null,"work_id":"76e7645d-df0f-4abd-8b00-f494e9b73f6c","year":1999},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.816354Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:f4666878321b787741cdb7bea94d40b6eccd8ddd17aff4751a76ed9ec5450dd8","observation_id":"39b4ddb3-f3c1-4a9c-b403-af9da0c17382","resolution":{"observed_at":"2026-08-12T13:45:10.324997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.309340Z","title":"Ouerdiane, Alg´ ebres nucl´ eaires de fonctions enti´ eres et ´ equations aux deriv´ ees partielles stochastiques, Nagoya Mathematical Journal , 151, (1998), 107-127","venue":null,"work_id":"9f571238-afbb-4f2c-b757-e797564d66ff","year":1998},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.820781Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:c645f058cc91bde3a5dd50d8b2ef445e519a217e74b5dec6e31eff5a4ef4ad99","observation_id":"4385d4ab-6654-4925-97b8-bd88df8388c8","resolution":{"observed_at":"2026-08-12T13:45:10.313668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.298169Z","title":null,"venue":null,"work_id":"1cbf3c1a-d01b-4c15-9604-ea8c60113190","year":1973},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.825572Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:bf069267d25c6080c2b7a866d075341a4421c03a5c69a57cc0e626603fed8d89","observation_id":"638fe4a0-53ff-4a66-bb96-33e2567dfee5","resolution":{"observed_at":"2026-08-12T13:45:10.301908Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.286352Z","title":"Parisi and Y","venue":null,"work_id":"db735a92-ebec-48d1-b0ad-3b23346a30fe","year":1981},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.829908Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:841d3288e6a6156da474099e8cd4ff9b6acbbe40d7e9216d1030f3e1405701d7","observation_id":"c556e721-7d1b-4a4e-a5ed-bf16893dab5d","resolution":{"observed_at":"2026-08-12T13:45:10.290547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:09.833867Z","title":"Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations , Springer-Verlag, New York, 1983","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.833867Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:f9ab1dfcbab4e767e8f5a7201456b9e4183b389f13cde5580e96c7e6a4df7379","observation_id":"d3c91bc1-f2af-46ea-aa97-cacf388cfb98","resolution":{"observed_at":"2026-08-12T13:45:09.833867Z","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":"2026-08-12T13:45:10.265623Z","title":null,"venue":null,"work_id":"78416761-5ccb-41f9-8ad9-f086f883f2bc","year":1975},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.837556Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:4b0498ee4ebb83a762349d02eba60d5b5a12ebf3d8e119315ac2e8ba097fb9ae","observation_id":"f8bcd63e-54eb-4a01-a5bb-b7801c063303","resolution":{"observed_at":"2026-08-12T13:45:10.270055Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.253477Z","title":null,"venue":null,"work_id":"01b787af-5680-43ba-bbfd-28a847d1bdba","year":1976},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.841112Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:786ca5a97678531b2902e9c4afa643e8bc4b8e7bcca10108e6ad9a9dde33d2d7","observation_id":"1f08f30c-e692-400a-9308-9c7f51aafc64","resolution":{"observed_at":"2026-08-12T13:45:10.257425Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.240757Z","title":"Segal, Nonlinear Semigroups, Annals of Mathematics , 78, (1963),No.2, 339-363","venue":null,"work_id":"ee2e9c07-571c-4afc-add9-44aed096aeb0","year":1963},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.844818Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:8017954e3a8d1ddfcf8e5ecef5ec3bc184edeb2dc186d383431caf8640af83ba","observation_id":"441c6d22-14fe-47ba-a767-96dcb56fe65a","resolution":{"observed_at":"2026-08-12T13:45:10.244940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.228200Z","title":"Simon, The P (Φ) 2 Euclidean (Quantum) Field Theory , Princeton Series in Physics, Princeton, NJ, 1974","venue":null,"work_id":"e20eeb37-43d1-46e3-ab28-5f8a144477ce","year":1974},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.848722Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:b57534d961db9549bf21d9c466f73275cb24c084671e8576afdbd77e6ff14e52","observation_id":"6038e297-b52d-4f63-9cac-2ce2e87c6aaa","resolution":{"observed_at":"2026-08-12T13:45:10.232356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.215078Z","title":"Sprangle, J","venue":null,"work_id":"cb975747-0d57-40b0-b68c-013f10926525","year":2002},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.852275Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:60ec521a538dbeaa8f14cb87638652152bb7c7793ba225277cf018e9086c304a","observation_id":"2ff6220c-8125-40e3-b72b-59e1b8b96d5f","resolution":{"observed_at":"2026-08-12T13:45:10.219139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.203548Z","title":"Sprangle, J","venue":null,"work_id":"263d134a-687c-4dfc-b554-5d6f5f53e3da","year":2003},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.856077Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:5d017a72121a8cf9a1b08ba4e6db5d9e77a92acb53bf3d14fc2f10dd5623a146","observation_id":"e7fcbd42-1782-47ae-9347-981bc58821f8","resolution":{"observed_at":"2026-08-12T13:45:10.208125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.191756Z","title":null,"venue":null,"work_id":"dcbd70ae-804e-457d-8300-86b87ddfb755","year":2023},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.859717Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:91ec279c9a6e1885a7df29b55472a043f84a990dcc3d61fa79d2058f57538164","observation_id":"a5a986e2-45b9-4d9c-92c2-b6079572dc03","resolution":{"observed_at":"2026-08-12T13:45:10.195851Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.175610Z","title":null,"venue":null,"work_id":"dd47dacd-6621-42d4-915f-58a206ed5a91","year":2025},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.863438Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:1e069bbf851a3b09bd5d75c0cd077e612fe61643670946d64f510aa738a4911f","observation_id":"73c179bd-6a4e-4003-98c3-f5895795b415","resolution":{"observed_at":"2026-08-12T13:45:10.180764Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.157296Z","title":null,"venue":null,"work_id":"3dc0c321-3a7d-4d4b-8b1a-3ffcfad02587","year":2025},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.867898Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:a0136c71d88b6578826fa6a40743a408de295003d61b400e0d0a6492944a2b6b","observation_id":"ec52b4a6-87e6-4eec-8625-79f28b062022","resolution":{"observed_at":"2026-08-12T13:45:10.161282Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.141389Z","title":"Strauss, Nonlinear Wave Equations , CBMS Regional Conference Series No.73, American Mathematical Society, Providence,1989","venue":null,"work_id":"6b4c8056-d9d9-498e-bcb5-0db1f52ba33d","year":1989},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.871578Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:adc74c0c58c287bdb084983aab0e397c4557ed5552db0c7b7aafbabe804f3beb","observation_id":"640d2c1b-7cec-4f4b-a415-a100ba1968fd","resolution":{"observed_at":"2026-08-12T13:45:10.146264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.125818Z","title":"Strauss, Nonlinear invariant wave equations, Invariant Wave Equations , Lecture notes in Physics, No","venue":null,"work_id":"2d7c3479-49b2-4237-ae9e-f6ead95475ef","year":1978},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.875060Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:655369627dd61b53fae825bbd7c09bc60f2a46aaa2880533926b48c5c3884b65","observation_id":"fc16bdaf-488b-49c3-ba0b-624ea52dc696","resolution":{"observed_at":"2026-08-12T13:45:10.130730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.107387Z","title":null,"venue":null,"work_id":"b7b40a9f-4ad8-4a23-bf69-0aa5477144a5","year":1978},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.878558Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:f9d5c37f6f2818e09669f74ddaabef31700f8fe60041d40e4576a2858a8dbb02","observation_id":"127043c7-a4e7-4697-bc1b-2973afba87b5","resolution":{"observed_at":"2026-08-12T13:45:10.111272Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.089496Z","title":"Sulem and P-L","venue":null,"work_id":"6a9254d2-067c-4dc5-af42-3fe0283329bc","year":1999},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.882405Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:d313f18b63bfbdafb5e288c1b2802024fa993b4ccccab6e817a18cca1a036cb0","observation_id":"115934b6-186c-44ab-8cc4-40265b33abc4","resolution":{"observed_at":"2026-08-12T13:45:10.097391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.070332Z","title":null,"venue":null,"work_id":"d6ccb1ec-a4ff-482d-8e8d-d2b3b6c3e1e6","year":1977},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.886044Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:ff56d01fcecb1518b4bf1f9ce0030fb98c93276029ac093cf71a751af5ea1cb7","observation_id":"f9641801-430d-4547-b869-2593c8b1a7f0","resolution":{"observed_at":"2026-08-12T13:45:10.080111Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.047404Z","title":"Tartar, Sur I’ ´Etude Directe d’Equations non Lin´ eaires lntervenant en Th´ eorie du Contrˆ ole Optimal, J","venue":null,"work_id":"4d5b08fa-7b74-4a95-9e3a-4d4260b5f420","year":1974},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.889646Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:5ad343c8537fb9f78a753bd1dc5d935273a9b8a0cefeada2bb2a1f0008325509","observation_id":"1939a4e9-56e8-4f11-80b9-0bc2d311216f","resolution":{"observed_at":"2026-08-12T13:45:10.053714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.032227Z","title":"Temam, Sur I’´ equation de Riccati associ´ ee ´ a des op´ erateurs non born´ es, en dimension infinie,J","venue":null,"work_id":"f5faa8c3-d1db-4448-b920-a0af9f08d5f8","year":1971},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.893556Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:d8a871f8c0e62b704f06adbd6f45a537c32e58b8a26f81ec21a0eebdc0639789","observation_id":"535c67f7-f2b9-4ca8-b80e-eb0d54d85844","resolution":{"observed_at":"2026-08-12T13:45:10.037787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:10.015240Z","title":"van Neerven, M","venue":null,"work_id":"e849d52a-c8ec-42a6-869b-92b414279f24","year":null},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.897320Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:cecadc3b8c93cbd7bf287f0e1e441c26340f0f23a95f357b78751d8f984e8bad","observation_id":"ff9f4fa5-a6c5-47d8-b2cc-37e5dcf06689","resolution":{"observed_at":"2026-08-12T13:45:10.019735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:09.999571Z","title":null,"venue":null,"work_id":"7ea54ad6-2f66-4c3a-89ab-11d615d8c18b","year":1961},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.900850Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:c403496555c71d92e5b9bbb0a2e7d2079acfd2268f55a6c994d704e5699fddfc","observation_id":"338e45fb-a3e8-42d6-aa5c-e58952d32b34","resolution":{"observed_at":"2026-08-12T13:45:10.005064Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:09.982511Z","title":"Yosida, Functional Analysis, Springer-Verlag, New York, (1991)","venue":null,"work_id":"42309d8e-5096-45d5-9f22-5d61c97c40e5","year":1991},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.904537Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:35883295a5446e00152969e166fcde17d9d72b3e6760866b08d92b4eca1ca36f","observation_id":"c76fbfa1-c471-4007-ad77-6e1836adba21","resolution":{"observed_at":"2026-08-12T13:45:09.989945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:09.967357Z","title":null,"venue":null,"work_id":"bb6eae82-f463-4667-8107-1141517f07c4","year":1972},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.908252Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:34501f2735fa729c7ddc521c0985f6a2ea16950c8c079a64c7b5105a10806a5a","observation_id":"5d1676f1-b4da-43ba-8fff-c85bf8ce44cc","resolution":{"observed_at":"2026-08-12T13:45:09.972074Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:45:09.950207Z","title":"Zohuri, Directed Energy Weapons: Physics of High Energy Lasers (HEL ), Springer- verlag, New York, 2016","venue":null,"work_id":"fd603f35-9100-4098-b782-8b8b0569f1f2","year":2016},"citing_paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-12T13:45:09.911945Z"},"links":{"citing_paper":"/paper/2411.16013"},"observation_digest":"sha256:813c32191eece86d99db42ac66909156f54af90b3a2eaf3adfa4f834c21b5800","observation_id":"0b1158f5-3932-4032-b6b0-895ac9fd9eec","resolution":{"observed_at":"2026-08-12T13:45:09.956691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16013","last_updated":"2024-12-21T14:36:47Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T13:36:00.077127Z","submitted_at":"2024-11-24T23:20:17Z","title":"Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation"},"reference_resolution":{"displayed":69,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":0,"verified_fuzzy":40},"total_outbound_references":69},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2411.16013."}