{"as_of":"2026-08-19T08:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7c2ea9f7291e10d0ef1c657d3f9ae9fe7a0232e88179f4da70cb9cf119b0340b","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:42:07.449327Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T10:43:24.973644Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T08:59:42.717445Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"cited_work":{"arxiv_id":"2501.07887","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.07887","snapshot_observed_at":"2026-07-04T08:59:42.717445Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity.arXiv preprint arXiv:2501.07887, 2025","venue":null,"work_id":"076d131a-0043-4eae-9739-d7af0deb0d6b","year":2025},"citing_paper":{"arxiv_id":"2606.22282","last_updated":"2026-06-21T00:16:29Z","snapshot_observed_at":"2026-08-18T06:30:15.514697Z","submitted_at":"2026-06-21T00:16:29Z","title":"Stable blow-up on a sphere for a quadratic-derivative nonlinear wave equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T10:43:24.973644Z"},"links":{"cited_paper":"/paper/2501.07887","citing_paper":"/paper/2606.22282"},"observation_digest":"sha256:a23d5f5bb37085f356ac101ab9099c2a5c28cd6f13c10b22c1ecc3ce98e51914","observation_id":"d9222c4e-ecba-49ad-b057-0c21ded2cdeb","resolution":{"observed_at":"2026-07-04T08:59:42.718970Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.07887/citation-record","integrity":"/paper/2501.07887/integrity","json":"/paper/2501.07887/citation-record.json","paper":"/paper/2501.07887"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:42:08.430702Z","title":null,"venue":null,"work_id":"f5bb2a08-3f5e-41fc-a833-04c868bba269","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.135276Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:816bdc77300737f111a7162633826be16b96961a4419a866be133b12230cd190","observation_id":"3f451c47-60d3-4fc3-a7f0-9bc61c292193","resolution":{"observed_at":"2026-08-10T20:42:08.434352Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.07042","last_updated":"2023-10-10T22:09:11Z","snapshot_observed_at":"2026-08-18T03:54:07.752938Z","submitted_at":"2023-10-10T22:09:11Z","title":"Singularity formation for the higher dimensional Skyrme model in the strong field limit","version":1},"cited_work":{"arxiv_id":"2310.07042","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.07042","snapshot_observed_at":"2026-08-10T20:42:07.593101Z","title":"Singularity formation for the higher dimensional Skyrme model in the strong field limit","venue":"math.AP","work_id":"96953ec7-0f20-4cfa-b531-b8fb05f48bdc","year":2023},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.141361Z"},"links":{"cited_paper":"/paper/2310.07042","citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:21f449fe2df3c2e778f62ac7fbac4c1f22ad92785fa7c65b5f64ed849c75d86c","observation_id":"ad4c8ab4-7a4d-4645-8c7a-12b53eac6dde","resolution":{"observed_at":"2026-08-10T20:42:07.599511Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.416158Z","title":null,"venue":null,"work_id":"a015659d-e079-47b3-af34-fb2ef53981b0","year":2018},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.148246Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:afce09f0e74d6d92f8c19f1adfb778c83ef9039164db9dc9e67c0a282589288a","observation_id":"3b9eb469-bb26-4cd9-9042-9723c95075bf","resolution":{"observed_at":"2026-08-10T20:42:08.420433Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.401119Z","title":"Costin, R","venue":null,"work_id":"e7ed7965-feef-4072-9a2d-18f810296bdf","year":2017},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.154075Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:1f04af3dc5a5060421ee3b1c27b1b573f6889c7926b23ba7d302c607caf2ec08","observation_id":"87090e35-7b44-4212-be23-6c13fcfca378","resolution":{"observed_at":"2026-08-10T20:42:08.407203Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.383667Z","title":"Costin, R","venue":null,"work_id":"901bec5d-684c-4e98-94a5-ac4e6a95bf9f","year":2016},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.161657Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:48d5722f4e006f148e567ef101fbdfec1ac98cc47014c61d1979267c56f4195a","observation_id":"60a3cdec-bb6d-4fd1-bc7c-2b3fe46b70d6","resolution":{"observed_at":"2026-08-10T20:42:08.388708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.370396Z","title":"Costin, R","venue":null,"work_id":"4b8ae85b-1619-4270-a19c-8326a524eaaa","year":2016},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.166316Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:881a7d47dc78391e4dd9ee229aa04ffad64d1bb1182140c0d3592a6f3a57f940","observation_id":"98b3c00d-d411-4495-9f21-91ddff6c93fc","resolution":{"observed_at":"2026-08-10T20:42:08.374420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.355254Z","title":"Cˆ ote and H","venue":null,"work_id":"dc10b7b0-b633-4d3e-9dc9-77f19856af96","year":2013},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.171184Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:208a4daa7c2942ea9b9cff830d17f90e02dfe2538bc9640bc84cd1eb1e35c0b5","observation_id":"39b1a41f-b819-4c89-8ea3-da8dd7b0c47f","resolution":{"observed_at":"2026-08-10T20:42:08.360899Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.331475Z","title":"Csobo, I","venue":null,"work_id":"170e7685-fe28-4cf3-ac67-03023a88b6f5","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.175451Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:a6c88283bad54b8ff411068bfeae00559527ee1c5dfa9558808fcf807731805b","observation_id":"6902f272-1e73-42e8-885b-0fe075baf6cb","resolution":{"observed_at":"2026-08-10T20:42:08.344359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.315354Z","title":"Dai and T","venue":null,"work_id":"7492a1ab-5893-4b1b-8b7b-528c6443804c","year":2021},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.180422Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:f1a7f3bc8eb3f6f47782ab794effb6a90eeb538b490d7a3ab1f2997871b2576b","observation_id":"f49fc63d-efa8-42fd-8714-12be44c34a52","resolution":{"observed_at":"2026-08-10T20:42:08.321114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.299383Z","title":"Donninger","venue":null,"work_id":"f1c9ae7e-d2fe-430f-b399-82cf47885a23","year":2011},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.184657Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:b917de2f39c3a7209cbac28613f42c634e5bc81fd5bf156b0da508659649e5e4","observation_id":"a3a42c33-39e4-4c75-ba9f-c99332dbebba","resolution":{"observed_at":"2026-08-10T20:42:08.304945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.281760Z","title":"Donninger","venue":null,"work_id":"cdce45d0-f543-407f-bc6b-9d45d2b2d5d9","year":2017},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.189839Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:14b88dbc50ed7929068c4bc54c998b953c7ff2072c654066a82e2554bff05f7b","observation_id":"82a10c20-aa6b-4edc-a994-45da4882c2a6","resolution":{"observed_at":"2026-08-10T20:42:08.287221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.269749Z","title":"Donninger","venue":null,"work_id":"4308d771-4e16-4afc-a534-aa156644f952","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.196664Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:3929b8b27ea68f9c9e4b79eb7decf5d1dc637a64dfe7fc2e202782dde89cacfc","observation_id":"b18d4b36-2fc7-4445-8b2d-92e463dd8551","resolution":{"observed_at":"2026-08-10T20:42:08.274121Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.256098Z","title":"Donninger and Z","venue":null,"work_id":"9fb15ed0-1b27-4031-b315-20cb7ce6323d","year":2020},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.203086Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:af4fe85e8f3e886345f7364f3647c219dda363d36d5e28db99e6cb1782ca171b","observation_id":"08b79d17-0116-4356-be73-72d23c3b0319","resolution":{"observed_at":"2026-08-10T20:42:08.261052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.237731Z","title":"Donninger and B","venue":null,"work_id":"f12c0e51-5eb0-4a76-826b-e079a6dfc060","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.207342Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:cd4b461f5ae6557b60575acbd6e003c45972c0c56419577fac8a3ef2f715ef83","observation_id":"999ccebe-c9d2-45e9-a4e9-54f7fd11cbe8","resolution":{"observed_at":"2026-08-10T20:42:08.243053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.219099Z","title":"Donninger and B","venue":null,"work_id":"933f72ff-fed1-4263-bb0d-2690204af137","year":2014},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.212572Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:305bba4bf39dea41a81833f34940fcc399ecf0d1469ec0bc5ebf9534c6635ecd","observation_id":"74c2dbad-4ed6-49f9-a30f-a478fa0cfdd7","resolution":{"observed_at":"2026-08-10T20:42:08.224292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.202345Z","title":"Donninger and B","venue":null,"work_id":"6a261f86-4d95-4bae-90ce-c4f8859bce27","year":2016},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.218323Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:ba7a1ab5124a8412035c1f4968666ca3cc34917b1610b64619d137c50e5ef375","observation_id":"2d15eca9-e235-456e-a65a-c0a5c7072178","resolution":{"observed_at":"2026-08-10T20:42:08.206880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.188001Z","title":"Donninger and B","venue":null,"work_id":"c914a4e0-71d4-423f-92c1-f50fcfd2e19e","year":2017},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.224734Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:4621ae0685cc0cf004639a645cb7a595b83307f5bbfb4188c82695711d34a049","observation_id":"a042ce39-b4c8-4c9e-83f7-af61529a8550","resolution":{"observed_at":"2026-08-10T20:42:08.193093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.174152Z","title":"Donninger, B","venue":null,"work_id":"475a01eb-56c9-4e36-b076-0e4b1ee42d28","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.229350Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:d66f30dfd57df52eeb46e036869687bec45dd0098b8cf94041ca5a87a453ee10","observation_id":"1668e630-2857-46a4-bf8d-7cad6f1bcd67","resolution":{"observed_at":"2026-08-10T20:42:08.178300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.157132Z","title":"Donninger and D","venue":null,"work_id":"2db0d408-0f3d-418e-879e-04846edc0f85","year":2023},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.234274Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:6eb90bf494de2eb510e98ef450dd97bee68dec1553a44d9c38adee4f0aa2b899","observation_id":"ad04ce8f-1e0e-46a7-9157-31cde099c1bb","resolution":{"observed_at":"2026-08-10T20:42:08.164412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.142329Z","title":"Duyckaerts, C","venue":null,"work_id":"0b3f77f1-c95d-49f9-a243-95a68a416b17","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.239466Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:3df5508befab106470f8161db09ae7aab5b028e0a05bb781fe8c5dfc540e8df7","observation_id":"5dce3f4b-b237-45bb-98f5-d95b2100340f","resolution":{"observed_at":"2026-08-10T20:42:08.147387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.124579Z","title":"Duyckaerts and G","venue":null,"work_id":"e68279c3-811f-4535-b8cb-ecc973488c9a","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.245174Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:18eaaeeee975d9a4587c09027d8b87ce19fd924aad4e78b519e8da47b9fab23e","observation_id":"42ca7a55-bdff-4450-a252-687578aea73d","resolution":{"observed_at":"2026-08-10T20:42:08.129577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.109415Z","title":"Eckmann, F","venue":null,"work_id":"68821927-b6c3-4dcc-abb8-5a9f6dd6adf1","year":2023},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.251417Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:b4e6b8353ab8d4049748807edb85a86775232987587898cf38ec21ceae3df94e","observation_id":"81566dd8-1128-4096-95b5-1f7e7a9a0fe8","resolution":{"observed_at":"2026-08-10T20:42:08.114017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.257713Z","title":"Engel, R","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.257713Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:afdf76c281c33cbc890a818344c8c5187c1997ea99a9fb2ba2fc9108a2ce487f","observation_id":"61441d2f-bff6-47f3-ae50-1ed843d66ae5","resolution":{"observed_at":"2026-08-10T20:42:07.257713Z","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":"2026-08-10T20:42:08.086136Z","title":"Ghoul, S","venue":null,"work_id":"9b8cdbc8-d506-4779-9793-937e9224de4a","year":2018},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.262622Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:96d2ed5487ff654397bc3629d316d27273661d1f5c19751ff286db30697784de","observation_id":"98c8f7c9-a55f-42f0-b6d6-04e375f5bfef","resolution":{"observed_at":"2026-08-10T20:42:08.090002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.074702Z","title":"Glogi´ c, M","venue":null,"work_id":"c35c6011-f484-483e-808c-45c913d7480a","year":2020},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.268429Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:91077483d33f691289517fb5b37690cdfcd4663fe145c58636397829b3b31a5d","observation_id":"b078622f-af43-4423-abcd-a703d46ea8af","resolution":{"observed_at":"2026-08-10T20:42:08.078263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.061003Z","title":"Glogi´ c and B","venue":null,"work_id":"389daf33-ed5b-4acc-9eda-670e3c314daf","year":2021},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.273927Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:91c3b682c0f1c52d754dc53f47a4a742bc0d5fbd676ff6058734d7db0d9045ef","observation_id":"41e43520-1d13-43d8-b966-138439310bc7","resolution":{"observed_at":"2026-08-10T20:42:08.066258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.040426Z","title":"Hassani, P","venue":null,"work_id":"daab2e1e-d72c-40cf-bda9-778beba0887e","year":2022},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.278074Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:a9cb5d690d02e5c34c1ec6b6b0b90f058426757b369c578549e4fa533bab0134","observation_id":"35315670-2aeb-4f4f-b45a-f4f805acd081","resolution":{"observed_at":"2026-08-10T20:42:08.048241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:08.011173Z","title":"Hillairet, P","venue":null,"work_id":"59f3268a-d05b-4a4b-8fe0-2541fb8b0f5a","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.283236Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:cac4e3e5a0fc04dff7504c6612e277c80155dcc4b31432751e54fc462b4acefb","observation_id":"16ca38f3-c7c3-4c58-a10b-794bd1d71291","resolution":{"observed_at":"2026-08-10T20:42:08.016375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.288604Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.288604Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:c7be9432120afe362cd523e17294cd8f14f1b2aafe7f52adb8f7c2845dde07b7","observation_id":"6c9cb3ef-510a-4ab6-9656-9ca9e2968b9a","resolution":{"observed_at":"2026-08-10T20:42:07.288604Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.13699","last_updated":"2024-03-19T16:06:53Z","snapshot_observed_at":"2026-08-16T16:13:33.262228Z","submitted_at":"2022-11-24T16:22:56Z","title":"Self-similar blow up for energy supercritical semilinear wave equation","version":2},"cited_work":{"arxiv_id":"2211.13699","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.13699","snapshot_observed_at":"2026-08-10T20:42:07.570681Z","title":"Self-similar blow up for energy supercritical semilinear wave equation","venue":"math.AP","work_id":"956b3509-9c7b-412a-9677-ec6a7a4bdb25","year":2022},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.293077Z"},"links":{"cited_paper":"/paper/2211.13699","citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:44d98deacf30e0d1342e0e16206406ca99c0b91c65d448ac2d0533e29b7ecd00","observation_id":"e40a0c4b-85ed-4f06-82c0-73d82e94fd36","resolution":{"observed_at":"2026-08-10T20:42:07.576820Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.979011Z","title":null,"venue":null,"work_id":"16fbb90c-94a2-46ac-8ecf-a095fc025db6","year":2020},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.298971Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:2a690adf82f2c01075fdbcf0c6a98e728bc1ca2a43432d89d40024cc8ad1b410","observation_id":"3e2e3388-cebc-46ca-9f68-761ba75ca899","resolution":{"observed_at":"2026-08-10T20:42:07.985330Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.957197Z","title":"Krieger and W","venue":null,"work_id":"6c70a5d1-d1be-48cc-b2ae-ae8c56d86cf0","year":2014},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.306330Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:88f8a30df895bc4f6575e611788946974a89036a01ec59574455920ddacdf3d5","observation_id":"3da9bf31-e346-446b-b392-3b8caff7c1a5","resolution":{"observed_at":"2026-08-10T20:42:07.963644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.940416Z","title":"Krieger, W","venue":null,"work_id":"64553343-a1d5-489b-b8b6-efb65527c876","year":2009},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.311189Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:196116f8bea736c090e429ea1a5818046c366e813f72d2b3cd339f0ae004c98b","observation_id":"09fdd287-66ca-4212-a76c-dec8eee6cca6","resolution":{"observed_at":"2026-08-10T20:42:07.945000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.15345","last_updated":"2024-08-27T18:09:21Z","snapshot_observed_at":"2026-08-18T09:23:23.612756Z","submitted_at":"2024-08-27T18:09:21Z","title":"Singularity formation for the higher dimensional Skyrme model","version":1},"cited_work":{"arxiv_id":"2408.15345","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.15345","snapshot_observed_at":"2026-08-10T20:42:07.541130Z","title":"Singularity formation for the higher dimensional Skyrme model","venue":"math.AP","work_id":"f804f64a-37db-4894-a565-b0d1ddc4b245","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.322671Z"},"links":{"cited_paper":"/paper/2408.15345","citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:91759912993264fc65fa6eb2e84cd513d080f7ddfca2d607c441db2cd9c896ff","observation_id":"524abb33-d313-4734-b989-7431fa95347f","resolution":{"observed_at":"2026-08-10T20:42:07.546622Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.921223Z","title":"Merle, P","venue":null,"work_id":"d7a11253-ffe7-427f-a27a-101fe3ad9a72","year":2022},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.330422Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:f5d17e6c758e19f83b120ab868dcf1d88cb839a83d1965848421039d7eb81094","observation_id":"652e78ce-ad30-4e17-84e3-673f32722857","resolution":{"observed_at":"2026-08-10T20:42:07.929174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.900758Z","title":"Merle and H","venue":null,"work_id":"00bb4b23-69f6-4ed6-b68a-05e097a5f7e2","year":2003},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.339658Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:8748bfe24a2068c607485dc1a010939939db32e6fddc8510fbb3b926e7aeb1e9","observation_id":"6625cf8a-8cf4-4d7d-8fc4-6a3fa4f2ece3","resolution":{"observed_at":"2026-08-10T20:42:07.908765Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.882424Z","title":"Merle and H","venue":null,"work_id":"515a096a-4d49-4673-9f3a-04e0c802573d","year":2005},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.348786Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:aac666aece2b6a84506701f8683cd075b3f388895c93d7f5438c9410949741a7","observation_id":"0b8c262d-5343-4d68-b042-92e11bf530cb","resolution":{"observed_at":"2026-08-10T20:42:07.889062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.860579Z","title":"Merle and H","venue":null,"work_id":"2e553e83-8f9c-4dec-8213-d155d45effd1","year":2007},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.355226Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:f00814106bb43c9139c777a2976113f2105f0fcd90181909c7599168d92e1ddb","observation_id":"bff66c6c-bd7a-4bde-9a42-d5cbbdefc5f2","resolution":{"observed_at":"2026-08-10T20:42:07.867514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.837301Z","title":"Merle and H","venue":null,"work_id":"6a2ba8a6-2ded-4659-9789-d78672425fca","year":2008},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.360954Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:0b7fbd352b9d011bcecf26910749cbfad3cd9532b79e1ea310ad03fc6aefc413","observation_id":"800b4163-84df-4cfa-9e65-be0e699a1657","resolution":{"observed_at":"2026-08-10T20:42:07.848313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.821069Z","title":"Merle and H","venue":null,"work_id":"4b02424d-89b7-40c3-9690-0c25ce4b31ad","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.365634Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:f244615146f8a469e548f072274c4efc99a75978a430cc5ba9a43bd70f01c815","observation_id":"4e49b6f6-6dbd-4778-a62c-9753ec475e62","resolution":{"observed_at":"2026-08-10T20:42:07.826314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.805128Z","title":"Merle and H","venue":null,"work_id":"67c8ff33-9f81-4836-bfa0-ff8d9b16ceee","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.376365Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:70a08faaddaaafbec3b5a774d506efab7ea4adad4de4cc8eefd0c903ed2600fd","observation_id":"fbe065a8-447a-4afc-a203-f8d969fe020a","resolution":{"observed_at":"2026-08-10T20:42:07.809669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.786267Z","title":"Merle and H","venue":null,"work_id":"5035f584-1aa5-4b04-9c42-d61d8308d122","year":2015},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.381510Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:fb9003dcf78c29c2e2b0c3b14ffd1952ac9fd21cdd977a514616f3dba4a7c51f","observation_id":"f3dc3ae2-b513-4a7a-bb2f-34c58f639b15","resolution":{"observed_at":"2026-08-10T20:42:07.792659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.768720Z","title":"Merle and H","venue":null,"work_id":"6481e8ac-a93f-47bb-be83-e1c69b519e1b","year":2016},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.388551Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:2a39c08f48f6d29337732f33497aa56c86b48627aa8b836c2bb128eb8b81f66a","observation_id":"c53478d8-5a20-4eb6-b4af-fbbc3dacaa9c","resolution":{"observed_at":"2026-08-10T20:42:07.778138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.745040Z","title":null,"venue":null,"work_id":"51acd000-e84e-4e3d-b728-67033a9b07cf","year":2010},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.400743Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:c1e098a68ba28b645a1a583f365e40538b117d6bd4f1d8338f5e4d8af77cd561","observation_id":"231f82be-3285-4d62-9ae1-25b684bf6ab8","resolution":{"observed_at":"2026-08-10T20:42:07.752672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.718606Z","title":"Ostermann","venue":null,"work_id":"1fceef38-5de6-448a-b59f-c00f1232195d","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.408597Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:33bf93b7821f87fd7bf3d0dd7c865773a324f141fb29e6a200399b8a9ebd0cfe","observation_id":"4021002b-dd16-4747-acb3-f9fc84aa4fe4","resolution":{"observed_at":"2026-08-10T20:42:07.724974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.700108Z","title":null,"venue":null,"work_id":"c678203f-8996-43a9-9c26-60141efe97ce","year":1995},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.413859Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:e67411206355e8d75eb42bbb082a44e5b050981edbb03c0305b53e566b9f9246","observation_id":"9a9e9cdf-00ff-4365-85e5-a293310c69e8","resolution":{"observed_at":"2026-08-10T20:42:07.705834Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.682025Z","title":null,"venue":null,"work_id":"f0b982ea-8ab6-46a7-9e8e-11c985cc71a5","year":1997},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.424541Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:d362ed208bfa6163cbbe9f0149763db0f63d1142adbe2e4a66779c8badbfeca6","observation_id":"38a646a6-6da0-405b-b2d9-930d0097814f","resolution":{"observed_at":"2026-08-10T20:42:07.688477Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.653230Z","title":"Sasaki, S","venue":null,"work_id":"ac10f77f-0041-4475-90f5-6cfe5b7544a9","year":2023},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.430337Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:b5826a10fd88e44bf7cbfcfcac28957a0f887b646726ead6a015fbd272e9bc22","observation_id":"6a884866-1061-4f18-a4b6-2e8ff9b937b7","resolution":{"observed_at":"2026-08-10T20:42:07.658951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.02098","last_updated":"2024-06-04T08:29:07Z","snapshot_observed_at":"2026-08-18T11:10:52.719922Z","submitted_at":"2024-06-04T08:29:07Z","title":"Blow-up of solutions to semilinear wave equations with spatial derivatives","version":1},"cited_work":{"arxiv_id":"2406.02098","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.02098","snapshot_observed_at":"2026-08-10T20:42:07.503443Z","title":"Blow-up of solutions to semilinear wave equations with spatial derivatives","venue":"math.AP","work_id":"40ee8e1a-57d3-498f-a9a3-325a4a881431","year":2024},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.436423Z"},"links":{"cited_paper":"/paper/2406.02098","citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:0f92c6326a9df46b02d4fed818026fcb0593db8d4d72d481e5790f7255fff3c5","observation_id":"893752c8-11d6-431b-b769-9ccfa88799a4","resolution":{"observed_at":"2026-08-10T20:42:07.512481Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.632754Z","title":null,"venue":null,"work_id":"8be71d56-4361-45f3-9255-3f0abecd1ed8","year":2012},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.444475Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:e4849b414562893b6b0071ea0747bc43a0273c9066452211aad5a19792d5186d","observation_id":"ce47fc1b-1bd3-4bbd-9051-8382e1bdba2a","resolution":{"observed_at":"2026-08-10T20:42:07.639264Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:42:07.614642Z","title":"Wallauch","venue":null,"work_id":"e2874884-bcf8-4225-88b2-329634b117be","year":2023},"citing_paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T20:42:07.449327Z"},"links":{"citing_paper":"/paper/2501.07887"},"observation_digest":"sha256:ece9f56d002d826af59e2252213c7995afb37d7e16f0f0ed5aea247aa3a70d3a","observation_id":"1f887876-e20d-4896-a881-e63294cd6149","resolution":{"observed_at":"2026-08-10T20:42:07.620918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.07887","last_updated":"2025-01-14T06:54:37Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-17T21:37:57.050939Z","submitted_at":"2025-01-14T06:54:37Z","title":"Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":4,"verified_fuzzy":38},"total_outbound_references":51},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2501.07887."}