{"as_of":"2026-08-13T13:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ac687e5c8fa0e992d2229e13f400788270507c35420c4a3b8ffe9a1bf5d8d8ca","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T13:36:04.306794Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"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/2502.02084/citation-record","integrity":"/paper/2502.02084/integrity","json":"/paper/2502.02084/citation-record.json","paper":"/paper/2502.02084"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T13:36:05.091407Z","title":"B ARROS -N ETO , I.M","venue":null,"work_id":"afcd56a8-16c3-44b0-86af-3ca0c9f599fe","year":1999},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.051570Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:267a53c4af9bb2018bacd49bb1b1663361d72f51b4a08d41aa8ad157d870ca76","observation_id":"862ffee3-cf4c-43ac-88a5-6547f66832eb","resolution":{"observed_at":"2026-08-09T13:36:05.096707Z","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":"2026-08-09T13:36:05.071278Z","title":"B ARROS -N ETO , I.M","venue":null,"work_id":"47984733-6e48-4134-896b-a82bf99b185e","year":2002},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.058084Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:265b5f4fafd3b8e92c16d00a242302c88074d1f709b3debd051434be4e176bbf","observation_id":"e24fa381-833c-4459-95e8-69106da3553e","resolution":{"observed_at":"2026-08-09T13:36:05.077019Z","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":"2026-08-09T13:36:05.053411Z","title":"B ARROS -N ETO , I.M","venue":null,"work_id":"5ba9a5a1-9a0c-4363-a7d6-99535b9ef900","year":2005},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.064376Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:7bca4a68fe0011b69f0cc978a36fbece7b1445f2b7e2635999acba93dfa3daeb","observation_id":"5ace8036-54c7-47be-8acd-99cda3f3db33","resolution":{"observed_at":"2026-08-09T13:36:05.058655Z","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":"2026-08-09T13:36:05.034774Z","title":"B EN HASSEN , M","venue":null,"work_id":"fe287141-bf5d-4792-bc72-aaf02639f88e","year":2022},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.072994Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:21c4f4acfe0342c550c8b56db9e74ec9bd83592636a09f9d6f6afafe5505d9f3","observation_id":"10c2507d-98d9-489a-977a-8d0b4aee82c6","resolution":{"observed_at":"2026-08-09T13:36:05.040187Z","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":"2026-08-09T13:36:05.015636Z","title":"D ′ABBICCO , Small data solutions for the Euler-Poisson-Darboux equat ion with a power nonlinearity, J","venue":null,"work_id":"d36c539d-2ef2-4454-a8ba-a0248559509d","year":2021},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.079293Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:f7a99e238e182a674694a17d4b17caa60c799e2058e03a155e7a0702c36e0c98","observation_id":"08a4a5f5-fe45-401c-b5c3-bca71e14db95","resolution":{"observed_at":"2026-08-09T13:36:05.020992Z","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":{"arxiv_id":"2008.08703","last_updated":"2020-09-08T15:54:46Z","snapshot_observed_at":"2026-08-13T10:43:13.366330Z","submitted_at":"2020-08-19T23:21:20Z","title":"The semilinear Euler-Poisson-Darboux equation: a case of wave with critical dissipation","version":2},"cited_work":{"arxiv_id":"2008.08703","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.08703","snapshot_observed_at":"2026-08-09T13:36:04.430540Z","title":"The semilinear Euler-Poisson-Darboux equation: a case of wave with critical dissipation","venue":"math.AP","work_id":"dd22887e-bdef-44e3-95dd-4c6cb1c58f55","year":2020},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.086794Z"},"links":{"cited_paper":"/paper/2008.08703","citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:08a6084c1dadaa0ea353d8670de1813cf9e85c12c9fe8f859a665e856a39853a","observation_id":"765eb07a-42a0-4b67-a893-f5e06b50e116","resolution":{"observed_at":"2026-08-09T13:36:04.441302Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-09T13:36:04.996041Z","title":"D ′ABBICCO , S","venue":null,"work_id":"cfb1ea9c-9e3d-4abb-bc2a-06320564c2b9","year":2015},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.094156Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:0a15f213c80b77b1dfd0ef2d8f1000993f01922ba5522a784f53a912203343d6","observation_id":"a0292294-5f0f-4b07-8808-bfe14132d628","resolution":{"observed_at":"2026-08-09T13:36:05.002992Z","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":"2026-08-09T13:36:04.974552Z","title":"D ′ABBICCO , S","venue":null,"work_id":"d92a30ef-f7f3-4d41-9e58-2b1c0d5d60a4","year":2015},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.101794Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:37a2f1707dd3e91fa59dbc009c3cd589a3071593f0e66481fd42e5ee9c1ceec8","observation_id":"2f603bcc-1751-468a-a41f-1888fe19a82c","resolution":{"observed_at":"2026-08-09T13:36:04.980463Z","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":"2026-08-09T13:36:04.956793Z","title":"F RANKL , On the problems of Chaplygin for mixed sub- and supersonic fl ows, Bull","venue":null,"work_id":"8d407b03-c036-46f0-a94a-38e7b260abd5","year":1945},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.109363Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:88ce5d01e9cad7d732f3e20b4966a85b8dc52822b664c79e7a208b178b268f13","observation_id":"0ccb6f0c-cfb7-4807-9ba8-333d97bc1a76","resolution":{"observed_at":"2026-08-09T13:36:04.962702Z","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":"2026-08-09T13:36:04.936967Z","title":"F RIEDMAN , Partial Differential Equations , Krieger, New Y ork (1976), 1215-1240","venue":null,"work_id":"a3b7eaf3-eff0-4bda-80a9-1c6a84423e59","year":1976},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.114866Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:70069c4662fc826eca88b16e5e5631c83fd29d15600b6bc1746262f1609c0e39","observation_id":"0dd96360-2fc8-484e-aa2e-30c774ade05a","resolution":{"observed_at":"2026-08-09T13:36:04.943298Z","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":"2026-08-09T13:36:04.916352Z","title":"F UJITA , On the blowing up of solutions of the Cauchy problem for ut = ∆ u +u1+α , J","venue":null,"work_id":"5a4b76d6-d764-49ab-83df-e8ea6a913c19","year":1966},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.125111Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:50912b03a8c3b084d67a82911879056cd5589a889da727b69f3e1ca66ce4438d","observation_id":"dcd3f9c6-0433-4c4c-9d28-cfed5d0bd306","resolution":{"observed_at":"2026-08-09T13:36:04.922230Z","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":"2026-08-09T13:36:04.896983Z","title":"G EORGIEV , H","venue":null,"work_id":"98caaa06-fd90-45d2-81f2-8373cf0445c2","year":1997},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.135327Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:fe9536303376c1906ee6711fb00ec00bbbed99cbdc635532dcfaedd9bd248302","observation_id":"83a5af1c-77f0-4761-946c-085f085e27fe","resolution":{"observed_at":"2026-08-09T13:36:04.903123Z","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":"2026-08-09T13:36:04.875636Z","title":"G LASSEY , Existence in the large for □u =F (u) in two space dimensions , Math","venue":null,"work_id":"fc678a4a-24ee-4530-b054-1ff6dca522f6","year":1981},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.142310Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:a8e4ed2d9369534c38d7f23f9f064cab6069107612db0cd6e6afe1d5a19083bf","observation_id":"855efd83-3960-47fa-8387-dd35a3c5459e","resolution":{"observed_at":"2026-08-09T13:36:04.883124Z","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":"2026-08-09T13:36:04.855894Z","title":"H AMOUDA , M.A","venue":null,"work_id":"7c5e5ffd-19da-41a4-b9b7-9bd5c7a60960","year":2021},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.149556Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:0391654e977390b7a26f9490aadc4f78a4029814ac3ee417a516a0a995455dab","observation_id":"9f5c003e-b340-40e4-932a-946f86487901","resolution":{"observed_at":"2026-08-09T13:36:04.861961Z","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":"2026-08-09T13:36:04.835497Z","title":"H AYAKAWA, On nonexistence of global solutions of some semilinear par abolic differential equations, Proc","venue":null,"work_id":"c678869e-3fe6-4098-8e0f-b31469b1eb71","year":1973},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.156474Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:1552a0823d9a95e4c8cb9a38622d11b8f481952e51e038a8011f5496566ce0ab","observation_id":"65f76e57-0a70-4b40-b1e0-2dbea5a8e500","resolution":{"observed_at":"2026-08-09T13:36:04.841854Z","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":"2026-08-09T13:36:04.815566Z","title":null,"venue":null,"work_id":"8ab0130b-2968-40dd-9f92-a9559bfe3426","year":2017},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.163652Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:8feedddf70fdcceaca96742afcda4bec1d928ac7a8202b45faa1a19e623b0814","observation_id":"f968f240-a87e-4484-b375-fe0b1e172193","resolution":{"observed_at":"2026-08-09T13:36:04.820889Z","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":"2026-08-09T13:36:04.798559Z","title":null,"venue":null,"work_id":"42a18400-6e10-4a52-a7ee-5d3ca200d3ab","year":2017},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.170995Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:c44a755b65dd5f6c140f9be7290dc7cb52d3314df5c1bb367639b64b3eff9cc5","observation_id":"65d2f360-88e4-4d49-9e00-aec57e2768c8","resolution":{"observed_at":"2026-08-09T13:36:04.803419Z","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":"2026-08-09T13:36:04.780513Z","title":null,"venue":null,"work_id":"45e6d31c-a9e7-4aa4-a202-226a584dd318","year":2021},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.176934Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:f425b5bed3486192bd5be78e3d2abb2e4c0410ad04e19c59921743147a3d70d2","observation_id":"4e561c12-5f39-4777-aa2e-d010cd112f40","resolution":{"observed_at":"2026-08-09T13:36:04.786164Z","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":"2026-08-09T13:36:04.762827Z","title":"J OHN , Blow-up of solutions of nonlinear wave equations in three s pace dimensions , Proc","venue":null,"work_id":"2d5bbb16-72f1-4ecf-9701-9cab257ab298","year":1979},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.183503Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:7431fa78eba1c3697827b2ff23c6aeaec5d42fd8d9e0676d8c48d97e82a5cf23","observation_id":"b9a72c00-1dbb-4be5-b8f9-5974dd462d61","resolution":{"observed_at":"2026-08-09T13:36:04.768416Z","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":{"arxiv_id":"1903.11351","last_updated":"2019-06-01T08:50:01Z","snapshot_observed_at":"2026-08-09T17:56:58.673701Z","submitted_at":"2019-03-27T11:19:35Z","title":"Lifespan of semilinear generalized Tricomi equation with Strauss type exponent","version":2},"cited_work":{"arxiv_id":"1903.11351","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.11351","snapshot_observed_at":"2026-08-09T13:36:04.397360Z","title":"Lifespan of semilinear generalized Tricomi equation with Strauss type exponent","venue":"math.AP","work_id":"d69af691-b4db-4139-bcd0-74fb0e75a07a","year":2019},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.192259Z"},"links":{"cited_paper":"/paper/1903.11351","citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:b3e4f871d8c0a38862e67b7fd08e0004c88e635bcf7fbf467408b825068bb9f1","observation_id":"8c4f41ae-2590-4881-9bd2-c3a2d7855ab1","resolution":{"observed_at":"2026-08-09T13:36:04.404381Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-09T13:36:04.741756Z","title":null,"venue":null,"work_id":"6aa1c321-51a7-4f81-a19d-0117612da60c","year":2017},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.198567Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:ffad1c03f1a0148ee0b64b0d31a2610f7398ddbfeaad120f7d4b11c8ecbe4a5d","observation_id":"b13464ed-c03f-40ba-87b8-30747ee5dab0","resolution":{"observed_at":"2026-08-09T13:36:04.749972Z","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":"2026-08-09T13:36:04.721910Z","title":"O LVER , D.W","venue":null,"work_id":"1cb9c56e-0ec4-432a-9dd1-b60d0688b74a","year":2010},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.205412Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:24ae40f55a17c991516d5598c42228e3ba30cf39cffcbe59e277467ff1e5ebe1","observation_id":"28b514d0-af3a-4687-b439-a3f0216b4d65","resolution":{"observed_at":"2026-08-09T13:36:04.727535Z","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":"2026-08-09T13:36:04.702397Z","title":"P ALMIERI , Global existence of solutions for semi-linear wave equati on with scaleinvariant damping and mass in exponentially weighted spaces , J","venue":null,"work_id":"519b2aed-0fa0-4335-b647-f59ec404b003","year":2018},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.211440Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:b8a194e410461bcda5adcf8212e669c280a2b9f53f83e9ae958fdaa3fe1b7fca","observation_id":"f058e0f4-9233-4d87-a3e9-e8a67a1bfc72","resolution":{"observed_at":"2026-08-09T13:36:04.708368Z","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":{"arxiv_id":"2105.09879","last_updated":"2024-03-19T12:05:21Z","snapshot_observed_at":"2026-08-12T22:41:26.457012Z","submitted_at":"2021-05-20T16:25:47Z","title":"On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity","version":2},"cited_work":{"arxiv_id":"2105.09879","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.09879","snapshot_observed_at":"2026-08-09T13:36:04.359038Z","title":"On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity","venue":"math.AP","work_id":"777d7200-6646-417f-8708-9a00a606569b","year":2021},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.219823Z"},"links":{"cited_paper":"/paper/2105.09879","citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:e3fcf605b23636d304b066236f82e5178692121604145f1f40bee14a78a6fa54","observation_id":"d816e991-7588-4192-a596-3b56a2cb9d6b","resolution":{"observed_at":"2026-08-09T13:36:04.369797Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-09T13:36:04.680770Z","title":"P ALMIERI , M","venue":null,"work_id":"43e64be1-b18d-4864-adc5-35e3f27908fc","year":2019},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.228938Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:19e608cb10a7819606e212d8528c61d1217dc461659f8d88f03f26ecd098a864","observation_id":"cc947e07-c2f1-4b0c-93b6-1a7a7b1ab0ff","resolution":{"observed_at":"2026-08-09T13:36:04.687585Z","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":"2026-08-09T13:36:04.659823Z","title":"P ALMIERI , M","venue":null,"work_id":"b75f2787-9ad2-4f99-a975-cfece748cc3e","year":2018},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.235609Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:852bbdf3293d8de7d7c0d3bd1910d172c21de66586df3836dcf21b9bdeeedfe6","observation_id":"8a4e5cf6-eca7-4ebd-93f2-ef13bd1cab9d","resolution":{"observed_at":"2026-08-09T13:36:04.665801Z","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":"2026-08-09T13:36:04.639166Z","title":"P ALMIERI , Z","venue":null,"work_id":"a5eb0bb4-e371-4864-a3c2-5346f680eba0","year":2019},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.240869Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:3a39d9ff7dbd337683c7be6b0344ccccd100b5482e3366c3da8f1aa6015a386d","observation_id":"d39adc06-86cc-42c4-89e2-e22aa54fd6ee","resolution":{"observed_at":"2026-08-09T13:36:04.644728Z","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":"2026-08-09T13:36:04.616905Z","title":"S HISHKINA , S.M","venue":null,"work_id":"ca491440-f704-4655-985f-e30927d36850","year":2017},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.246728Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:d16d3cf4cd397a6a92a3bc8f4ee9d532e8219df5c05ff31a2d666c7b101f35fb","observation_id":"47fe8d24-1148-46f3-894a-4008043073da","resolution":{"observed_at":"2026-08-09T13:36:04.623598Z","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":"2026-08-09T13:36:04.596317Z","title":"S TRAUSS , Nonlinear scattering theory at low energy , J","venue":null,"work_id":"2a796cd5-5d79-4125-b4d5-cbd88e68b3e1","year":1981},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.254548Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:da72cb598e66e79900a83ff1dac9cf07f295b54070400acf37fe36b3f7fe842f","observation_id":"1fbc8b5b-a428-4d9c-9b72-677cd2436b94","resolution":{"observed_at":"2026-08-09T13:36:04.602326Z","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":"2026-08-09T13:36:04.578400Z","title":"S UN, Sharp lifespan estimates for subcritical generalized sem ilinear Tricomi equations , Math","venue":null,"work_id":"90fd822c-0343-4f73-af34-b1c4f2ebc10d","year":2021},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.260662Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:2d615971929c9e8848956f06e35f04d52b6b86ef751577edf5b58f97e9be9f5b","observation_id":"de7615ae-a249-4ece-99c6-46bf6611abbf","resolution":{"observed_at":"2026-08-09T13:36:04.583555Z","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":"2026-08-09T13:36:04.560156Z","title":"T ATARU, Strichartz estimates in the hyperbolic space and global ex istence for the semilin- ear wave equation, Trans","venue":null,"work_id":"38fd592b-c005-400f-9c0d-3f97e9b9d49d","year":2001},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.268973Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:68e3bd6727c31e788b8bb77002e572cde6d8ca5b4b5edd3f0a5d80db569cdb85","observation_id":"867195c8-1fba-4c94-9647-802541032952","resolution":{"observed_at":"2026-08-09T13:36:04.565969Z","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":"2026-08-09T13:36:04.539714Z","title":"W IRTH , Solution representations for a wave equation with weak dis sipation, Math","venue":null,"work_id":"71d1b08d-782e-4139-ac7d-0ce8e0282354","year":2004},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.275940Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:a17096aa3b3f563c78842d995b14a959234de079b554968637eee0062a85f1b2","observation_id":"e2983b0a-a11a-4092-8100-9446fb99f370","resolution":{"observed_at":"2026-08-09T13:36:04.546679Z","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":"2026-08-09T13:36:04.519499Z","title":"Y AGDJIAN , A note on the fundamental solution for the Tricomi-type equ ation in the hy- perbolic domain, J","venue":null,"work_id":"83eea67c-f78d-4d0e-9696-73c28273e761","year":2004},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.282951Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:557b819600aa022ce05177166630e0e3f93c2a0ff595df1c1d5f2a31ef76dd97","observation_id":"88d0448f-4575-40c3-a1fc-0583271ce71c","resolution":{"observed_at":"2026-08-09T13:36:04.525532Z","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":"2026-08-09T13:36:04.499072Z","title":"Y ORDANOV , Q.S","venue":null,"work_id":"7e118ac6-3d49-47fd-a301-60ae34abd3bb","year":2006},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.289659Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:b7c14ac0ba0c41a96cb7123ee6754b37e8f379990c0b96666c9604b1422e5b6a","observation_id":"0e2375f3-46b5-46f4-9bad-0f0bb542cc8d","resolution":{"observed_at":"2026-08-09T13:36:04.505378Z","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":"2026-08-09T13:36:04.479257Z","title":"Z HOU , Blow up of solutions to semilinear wave equations with crit ical exponent in high dimensions, Chin","venue":null,"work_id":"7a909384-1b68-44a5-a2d5-51d2c4e67b12","year":2007},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.299044Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:b8f59ded04e362e7bcc41549fb2ac828dca87812111d7ffcb7861934233956f4","observation_id":"9ce7a8b4-c2f1-47a8-bbf7-901dff927ef4","resolution":{"observed_at":"2026-08-09T13:36:04.485771Z","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":"2026-08-09T13:36:04.457370Z","title":"ZHOU , W","venue":null,"work_id":"5ff36777-697b-4b24-89cb-345fedead743","year":2014},"citing_paper":{"arxiv_id":"2502.02084","last_updated":"2025-02-04T08:05:22Z","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T13:36:04.306794Z"},"links":{"citing_paper":"/paper/2502.02084"},"observation_digest":"sha256:86478dc2ca6bd49bef93d34e3b973c19e2a6f91dc27364b3857a46a38936cb97","observation_id":"c34c1473-56e1-4874-be68-66568ff11dfd","resolution":{"observed_at":"2026-08-09T13:36:04.463062Z","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":"2502.02084","last_updated":"2025-02-04T08:05:22Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-09T13:20:34.553030Z","submitted_at":"2025-02-04T08:05:22Z","title":"Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":3,"verified_fuzzy":29},"total_outbound_references":36},"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 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2502.02084."}