{"as_of":"2026-08-14T17:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:28cf8bfcc48843a60bd7c2f2febe1e4ce334ed637a64b79dd1e695989885130e","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T20:56:45.782407Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.09381/citation-record","integrity":"/paper/2411.09381/integrity","json":"/paper/2411.09381/citation-record.json","paper":"/paper/2411.09381"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.02153","last_updated":"2023-10-03T15:40:05Z","snapshot_observed_at":"2026-08-14T06:50:08.577721Z","submitted_at":"2023-10-03T15:40:05Z","title":"Global solution for superlinear stochastic heat equation on $\\mathbb{R}^d$ under Osgood-type conditions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.02153","snapshot_observed_at":"2026-08-12T20:56:45.732846Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.732846Z"},"links":{"cited_paper":"/paper/2310.02153","citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:fccc606273b52547b87a3d59ace541a1e43c4fd976798e08dc652108a0d8d323","observation_id":"cd6ff82b-276a-4975-a16c-6178a868277a","resolution":{"observed_at":"2026-08-12T20:56:45.732846Z","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":"2026-08-12T20:56:46.047655Z","title":"Dalang,Extending the martingale measure stochastic integral with applications to spatially homogeneous s.p.d.e.’s, Electron","venue":null,"work_id":"a80843aa-0a93-4b78-8776-cd7bec26b967","year":1999},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.739008Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:e03b5507bc6454de19943b0721b09418a02f6a292190a8302808f0fad811cc50","observation_id":"d608860e-1c28-4701-a4cc-3c873dbb45dc","resolution":{"observed_at":"2026-08-12T20:56:46.052869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:46.031477Z","title":null,"venue":null,"work_id":"6d92f4f1-526f-460d-9096-c8477e8c29ad","year":1962},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.743780Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:1b1c13c3555c68fe6397fcc6f54aa5e25039769f33d6287669f4dcc0424cea82","observation_id":"a0801b18-8655-4573-9587-7f7c2733d949","resolution":{"observed_at":"2026-08-12T20:56:46.035892Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.748767Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.748767Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:b8d28118c9d1b5eb737e8e71af8c6217bdfb003ac8a033d3761d1ba423ada8e3","observation_id":"2b57c2e0-6667-460a-b2c5-b16625bd432a","resolution":{"observed_at":"2026-08-12T20:56:45.748767Z","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":"2026-08-12T20:56:46.016778Z","title":"2, 143–158","venue":null,"work_id":"bc9cb284-9bdc-4530-8700-97269ef78f7a","year":1996},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.753276Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:9f756fbec504ba4bb385ebaabc300d273eaf00dbfe4042a74ee44fb0fa6dd271","observation_id":"eadb1583-f0d2-4274-bd9a-df8a46e5fc68","resolution":{"observed_at":"2026-08-12T20:56:46.021243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.999833Z","title":null,"venue":null,"work_id":"3090ad65-c16a-4c73-9f58-f0f2a7e95aad","year":2014},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.758418Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:54ec270ed1a5bae07873f28ce35935d702e1500084ea2f9ca0f919ccc112cf75","observation_id":"ade215f4-3801-448a-9e11-ecbcd8778e77","resolution":{"observed_at":"2026-08-12T20:56:46.005245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.984300Z","title":"5, 1910– 1959","venue":null,"work_id":"7499a6bc-8fa3-41e5-a9c6-69afa3155709","year":2006},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.763643Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:3f041d3beaaa9c947777f01057688aca107ed53076935115583e1e3c513991cd","observation_id":"8af7b8c8-024d-4745-b61d-2131d28142b9","resolution":{"observed_at":"2026-08-12T20:56:45.988842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.969067Z","title":"MR1725357 (2000h:60050)","venue":null,"work_id":"2eafb8e6-71a4-4989-92ac-43ffc06f0c35","year":1999},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.768375Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:fd572536eb9d023758286837bfa60a8416b03d1e112e74b2aebb180da7559d8c","observation_id":"fa8b32b4-a2ec-4894-8b4e-46f4ebbf0db7","resolution":{"observed_at":"2026-08-12T20:56:45.973795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.953717Z","title":"Dyn.22(2022), no","venue":null,"work_id":"3cfbf5b2-c684-42fe-8711-d983f4d93797","year":2022},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.773017Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:1b996f26f0e33ebf0c03cbe1b77265b75a1f61125d060392b9a2a0fd236309b7","observation_id":"dd8ddf73-9b1e-41ab-8126-a23e100ca14a","resolution":{"observed_at":"2026-08-12T20:56:45.958330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.938271Z","title":"2, 415–437","venue":null,"work_id":"37630950-3182-415a-9bda-5b300f7b84cf","year":1994},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.777762Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:9913b3d4a2d363710c03a440c0407e3dfa82f8f45d5533ec41112c31fd07b5b8","observation_id":"f69c99d4-59ee-496a-a828-10c80ee04c32","resolution":{"observed_at":"2026-08-12T20:56:45.943006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T20:56:45.919732Z","title":"Walsh,An Introduction to Stochastic Partial Differential Equations, École d’été de Probabilités de Saint-Flour, XIV–1984, 1986, pp","venue":null,"work_id":"75bb847e-a7d5-4b26-88a6-f348bba2822b","year":1984},"citing_paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T20:56:45.782407Z"},"links":{"citing_paper":"/paper/2411.09381"},"observation_digest":"sha256:285cac70e1818ffbe9045df1cd6114356494c756b45a4ceb32da643a6f714d67","observation_id":"41878b4d-64ee-4b37-b2e1-859c9f580757","resolution":{"observed_at":"2026-08-12T20:56:45.927213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.09381","last_updated":"2025-09-12T20:36:09Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-14T16:31:47.771560Z","submitted_at":"2024-11-14T11:50:35Z","title":"On the well-posedness of SPDEs with locally Lipschitz coefficients"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":11},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2411.09381."}