{"as_of":"2026-08-07T17:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78a61bba1737dd82a23ef57ab07727474123c115cb75e5afb5e065d986be9b99","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":"2026-08-07T14:15:15.729662Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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":"2026-07-31T09:38:21.954747Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.20437","snapshot_observed_at":"2026-07-31T09:38:21.954747Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.24640","last_updated":"2026-07-27T16:36:59Z","snapshot_observed_at":"2026-08-02T15:11:30.756371Z","submitted_at":"2026-07-27T16:36:59Z","title":"The Yang-Mills measure on surfaces via Morse theory","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-31T09:38:21.954747Z"},"links":{"cited_paper":"/paper/2505.20437","citing_paper":"/paper/2607.24640"},"observation_digest":"sha256:38f0a703c6652059b603a00c5313d02870b8454e027f3cc24b1f370c31c994c4","observation_id":"804a3b02-7292-4e11-b2b9-5400eda38837","resolution":{"observed_at":"2026-07-31T09:38:21.954747Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.20437/citation-record","integrity":"/paper/2505.20437/integrity","json":"/paper/2505.20437/citation-record.json","paper":"/paper/2505.20437"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2408.06978","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:15:16.306857Z","title":"Allan and Jost Pieper, Rough Stochastic Analysis with Jumps , August 2024, arXiv:2408.06978","venue":null,"work_id":"4b964679-a492-4713-9e91-9155935495a2","year":2024},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:11.343310Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:6a0ae94af3893b4733c63b012057b8df4b6fdfdfe0bd9a643fd0619a6f6d6bb1","observation_id":"d8a95644-57d5-4425-a499-0b5581511426","resolution":{"observed_at":"2026-08-07T14:15:16.367716Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:22.870756Z","title":"1, 101–116","venue":null,"work_id":"7a35101b-bd83-49b6-9676-9f4bb0a2bbc1","year":2000},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:11.797971Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:2a876378df4552689495dbc0c930c03e0e0a7c418527a3b357d178de850e436a","observation_id":"a4bfc79c-ba83-4f4e-baf4-cb940844f0d1","resolution":{"observed_at":"2026-08-07T14:15:22.949530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:22.746995Z","title":"104261, 37","venue":null,"work_id":"054aefe0-7bde-4487-8e31-d90b20e2b71f","year":2024},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:11.900085Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:86704c13754950c936d3e2cb3070099b55ee5e017aba73a5a5b2efbdf64742eb","observation_id":"c2684c9c-5e40-44be-af2d-cea43b1bfc0f","resolution":{"observed_at":"2026-08-07T14:15:22.806893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:22.589695Z","title":null,"venue":null,"work_id":"9e66b1c2-b81e-486a-8349-aea4f186cfad","year":2025},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.011814Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:642e502194d997e924cb3e976dc376531bede43d5e963dd6351e0944032734c7","observation_id":"e003a598-596a-4981-af10-40312b2947e5","resolution":{"observed_at":"2026-08-07T14:15:22.660925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:22.399923Z","title":"MR 1700749","venue":null,"work_id":"89ee10f3-08fe-4613-b764-fee5608065f4","year":1999},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.132151Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:ee0cb731b041fd5d6e96cb7e10449c24febee3269cc402a0fdbe354f0f8bc354","observation_id":"49d59a47-b3dd-4e8c-ac39-8962895be0a0","resolution":{"observed_at":"2026-08-07T14:15:22.489326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:22.190423Z","title":"Friz, Canonical RDEs and general semimartingales as rough paths, The Annals of Probability 47 (2019), no","venue":null,"work_id":"4daa1930-7d98-4288-b56f-506e8e85bb62","year":2019},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.250672Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:2cb0244e2841ae838b324690a81579a657a8329ae2afaf93b030f7ce86c3cfd2","observation_id":"e90400fc-cb4b-457b-b16d-696e1889f3a0","resolution":{"observed_at":"2026-08-07T14:15:22.272115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:21.964520Z","title":"Friz, Alexey Korepanov, and Ian Melbourne, Superdiffusive limits for deterministic fast-slow dynamical systems , Probability Theory and Related Fields 178 (2020), no","venue":null,"work_id":"86b7906b-9336-478d-ae59-e6a0bffc3812","year":2020},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.387025Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:132cbf543a0ec19dadcc2f8741ea761269cac33db29703f6bd2b8e97c422cffe","observation_id":"2197c819-b10c-4638-8917-44f875ec5c27","resolution":{"observed_at":"2026-08-07T14:15:22.074159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:21.790936Z","title":"MR 4840242","venue":null,"work_id":"49f47a9f-c991-4c88-bf6e-c5d4bd8f8e38","year":2024},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.503492Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:a4ac37c5a6853f60b485e50342fef56afd4c7e0840b69714933d0a10d23db591","observation_id":"40495bba-4ed4-443f-852e-a8c61aa956b9","resolution":{"observed_at":"2026-08-07T14:15:21.846628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:21.628070Z","title":"1, 50–77","venue":null,"work_id":"f127d120-dd32-4fca-92f2-8260f16ce43b","year":2021},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.635015Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:b17380a7f2127f23e5eabfc246a6f12ccdeab8d9f51f140bd637c01f17dcee59","observation_id":"bc5ee859-12cc-48ec-afd0-8b603218e52f","resolution":{"observed_at":"2026-08-07T14:15:21.690808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:21.499351Z","title":"1755, Springer, Berlin, 2001, pp","venue":null,"work_id":"f49846ff-c407-43cb-8c94-f7c507912b24","year":2001},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:12.842871Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:3364630481b1888ca832a0ab7fa305585ce83c653aa0386bedf97b2461ec9554","observation_id":"41921c31-23b0-41d1-8434-fe4bb1a69467","resolution":{"observed_at":"2026-08-07T14:15:21.552691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:21.391703Z","title":"4, 1715–1758","venue":null,"work_id":"ad94b970-737a-468c-95b1-df24575a954f","year":2012},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:13.594445Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:333d569d53e3aa0d7e82950e09c0491ece5cce99f8ae8c0d05d61025023072c6","observation_id":"777b2d4b-af65-49c7-9b8c-6069a319f70a","resolution":{"observed_at":"2026-08-07T14:15:21.450219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:21.222494Z","title":null,"venue":null,"work_id":"7c17c8bb-6da3-458a-a42e-c957c6373c1f","year":2017},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:13.734857Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:a2a64bfaf214e8b5decdfba38de3c5e61e0093daf1fab27ce2a21543752fe38b","observation_id":"5e802e2f-7859-438c-b66e-013cd77e4f8c","resolution":{"observed_at":"2026-08-07T14:15:21.319162Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:20.908652Z","title":"Friz and Martin Hairer, A course on rough paths , second ed., Universitext, Springer, Cham, 2020","venue":null,"work_id":"86d3ea4a-8762-47e5-be11-4c5f31578b95","year":2020},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:13.810897Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:f4bb3658ff1b4c4ca8cf15d0fbb74861f7add6024e70f3c80da260064ed757a7","observation_id":"7e6e0f92-91eb-445d-8c27-c9af4fee3186","resolution":{"observed_at":"2026-08-07T14:15:21.100726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:13.870210Z","title":"Friz, Antoine Hocquet, and Khoa Lˆ e, Rough stochastic differential equations , August 2024, arXiv:2106.10340 [math]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:13.870210Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:2e1164c8453fd8ab51ce7b8c67b7580dd08e7ce1cdc000ed1057481404c97557","observation_id":"1b00c02e-48d6-4e5f-8baa-f2176c02bff3","resolution":{"observed_at":"2026-08-07T14:15:13.870210Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:15:13.986450Z","title":"Friz, Khoa Lˆ e, and Huilin Zhang,Controlled rough SDEs, pathwise stochastic control and dynamic programming principles, December 2024, arXiv:2412.05698 [math]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:13.986450Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:64ccece673e5bde9810582cafd84bb056112601ce84c5ebba762f68af6b74cee","observation_id":"9481751b-2cbc-4063-b1f0-e012365cba49","resolution":{"observed_at":"2026-08-07T14:15:13.986450Z","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":"2026-08-07T14:15:20.613860Z","title":"Friz and Atul Shekhar, General rough integration, L´ evy rough paths and a L´ evy-Kintchine-type formula, The Annals of Probability 45 (2017), no","venue":null,"work_id":"e8e9aac7-04c9-41b3-bdc7-b4f5518dd824","year":2017},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.129195Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:c93a2864bc734c81b5b618d0937e40e8d6b13f8ce15ec652946c84648c776820","observation_id":"df817b3a-ba55-4fed-9fd1-4da6da8c7316","resolution":{"observed_at":"2026-08-07T14:15:20.752302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:20.334881Z","title":"Friz and Nicolas B","venue":null,"work_id":"9347fc20-b4fe-465e-a983-ddae63de532e","year":2010},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.200217Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:a4e577c76db84799ea14df2c8e9cbce34df06a147b2da39deb4867aedf4d543a","observation_id":"d44eae73-5526-40b0-b0b5-9fc5d0d27bfe","resolution":{"observed_at":"2026-08-07T14:15:20.472022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:20.047427Z","title":"Friz and Huilin Zhang, Differential equations driven by rough paths with jumps, Journal of Differential Equations 264 (2018), no","venue":null,"work_id":"73376e14-4222-4fb4-b3a6-d8c612dda569","year":2018},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.294632Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:2dd4e9cc2fc3204300e1f198e29a7032f2ec50b0334e509c11add4627bdd749b","observation_id":"896c9cf4-9c18-471a-a5ba-f17114567d37","resolution":{"observed_at":"2026-08-07T14:15:20.198710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:19.735671Z","title":"F¨ ollmer,Calcul d’Itˆ o sans probabilit´ es, Seminar on Probability, XV (Univ","venue":null,"work_id":"0309094b-2c85-43dc-bbdc-2655f7bb0a24","year":1979},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.384481Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:2345736c37ab8563c68a977f67462a8da3deaea60db719a743fac5c775b346a5","observation_id":"0013f765-248d-4ee4-8850-e70a03fd1d97","resolution":{"observed_at":"2026-08-07T14:15:19.882170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:19.482830Z","title":"Shiryaev, Limit theorems for stochastic processes, second ed., Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathem- atical Sciences], vol","venue":null,"work_id":"44d15d13-95a2-4cc6-8c3e-6d8d7e3224da","year":2003},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.451598Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:19be944865b33e1c450ac720604cd59b21220e0223eef71912f60fff00aa30ec","observation_id":"5907132f-d970-440e-9df1-8cbe9dcb81f9","resolution":{"observed_at":"2026-08-07T14:15:19.615049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:19.215992Z","title":"5, 655–665","venue":null,"work_id":"38727f69-e419-4e4d-ab9d-38bd4c75eb6c","year":2012},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.522791Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:cc1cf436e57ecbc5d99756eea3dc4c9e0992e16c3e6e871b3dc021f4e7d750dd","observation_id":"b3b6cb60-ad0b-4379-b885-170deb73a5c9","resolution":{"observed_at":"2026-08-07T14:15:19.349900Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:18.955066Z","title":"Kurtz, ´Etienne Pardoux, and Philip Protter, Stratonovich stochastic differ- ential equations driven by general semimartingales, Annales de l’Institut Henri Poincar´ e","venue":null,"work_id":"07271cbf-b501-4b07-9bd2-a492f8d94e75","year":1995},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.559573Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:2e4c9e6bb6b452b4bec26e20dae7f3993afff7fca068e9fe50d70fd1383a6f29","observation_id":"5784d60f-b2c1-4012-b657-03048a0b4e5c","resolution":{"observed_at":"2026-08-07T14:15:19.074872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:18.716970Z","title":"1, 201–257","venue":null,"work_id":"351a50a7-a4ad-42f9-a42a-1b0ba9b592ea","year":2025},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.654660Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:f0d163d018f2dec415a94a56273e2013303e82aa43accb8af3511d8aea034731","observation_id":"6e553934-e1a9-4d4d-bcde-dd92ac5d6157","resolution":{"observed_at":"2026-08-07T14:15:18.798485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:18.541546Z","title":"Marcus, Modeling and approximation of stochastic differential equations driven by semimartingales , Stochastics 4 (1980), no","venue":null,"work_id":"07dbbca9-0d82-4905-99dd-35a410cf4b9b","year":1980},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.748776Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:729b26f2d7526b4ab61e77d6d48695c415b042679de1fd40ad6db15d2c0bf332","observation_id":"d4c2e6d9-9ac4-4253-8e89-eb8ce5949698","resolution":{"observed_at":"2026-08-07T14:15:18.611719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:18.387121Z","title":"MR 312578","venue":null,"work_id":"def0b2d6-6231-4660-80c4-def5d9b2a2c6","year":1972},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.834873Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:d41d68710237529ede9a028d1eb7e11bcbf0095105fd7dca42bebb017d6d4e8c","observation_id":"6a64eb3e-4b33-4302-801d-d6b9abb232b1","resolution":{"observed_at":"2026-08-07T14:15:18.442728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:18.202765Z","title":null,"venue":null,"work_id":"a299bb02-ec75-4265-b2ef-2e19569a5464","year":2023},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.915647Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:a92f63c9b4edf4a4ab5844d07db3ebe39025c6296cec3bed0739eed2cbad9fd0","observation_id":"26815a28-3af9-4816-b5ae-f6875389b69d","resolution":{"observed_at":"2026-08-07T14:15:18.292775Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:17.985531Z","title":"2, 209–227","venue":null,"work_id":"e1227d94-a86d-4483-84f8-d05e08abc9d5","year":1994},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:14.984763Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:9b921664a78d085191b20d5aa5edaa3677f5cba0043dbe3c66f9444e844ddad2","observation_id":"ad60efa1-bda0-43b5-875d-b54c2cb07b32","resolution":{"observed_at":"2026-08-07T14:15:18.098486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:17.764437Z","title":"Protter, Stochastic integration and differential equations , second ed., Applic- ations of Mathematics (New York), vol","venue":null,"work_id":"d10f3da2-2a3f-41ec-b435-83e4a31865e2","year":2004},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.075529Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:6b87c6ad11e49e38942dd24ef80bcc85f1f0615ffae5e026d515948f5819875e","observation_id":"32223871-2bc5-41c1-8105-570e7d9f0d14","resolution":{"observed_at":"2026-08-07T14:15:17.883607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:17.542601Z","title":"Norvaisa R","venue":null,"work_id":"67494471-fad8-4752-835c-153e7aee0959","year":1998},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.143909Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:f9f7c74242ebfdcc79030f0c08482bd3c8046a98814dd81198f4f268f8c3534d","observation_id":"afb31943-39c4-47d0-8e6e-22527e350d68","resolution":{"observed_at":"2026-08-07T14:15:17.615217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:17.328429Z","title":"293, Springer-Verlag, Berlin, 1999","venue":null,"work_id":"be51d890-3f4d-4461-93d2-c444308320df","year":1999},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.213659Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:8fd444b9389f2c9fdd0183087244658ba8c5dc1d625fe93d460dd6579dced6a2","observation_id":"4defbaf0-cb75-4d12-8e45-d2e6474d4919","resolution":{"observed_at":"2026-08-07T14:15:17.408834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.18632","last_updated":"2025-07-31T13:59:31Z","snapshot_observed_at":"2026-08-07T15:59:07.556010Z","submitted_at":"2025-04-25T18:18:12Z","title":"Backward stochastic differential equations with nonlinear Young drivers I","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.18632","snapshot_observed_at":"2026-08-07T14:15:15.307695Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.307695Z"},"links":{"cited_paper":"/paper/2504.18632","citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:280369ac180e179c30e699f2575b1db6bbd2f1d4f53e2fe57d90a52dcc9d609c","observation_id":"3f9bded3-c7ed-4213-a33a-28409f4b6a27","resolution":{"observed_at":"2026-08-07T14:15:15.307695Z","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":"2026-08-07T14:15:17.120022Z","title":"Stricker and M","venue":null,"work_id":"145c0db0-9910-45f1-a97f-530834c989c1","year":1978},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.430072Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:e48e78aba0a7cad26af9ff49e5681aea6bf6ee58a7dc58c8f1095e549cc424a5","observation_id":"9a371d83-fcf9-4ec1-8078-8106250e4c12","resolution":{"observed_at":"2026-08-07T14:15:17.199316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:16.931020Z","title":"MR 1876437","venue":null,"work_id":"03a132c7-21f6-41fd-a7ba-fa208a907b52","year":2002},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.530060Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:f3e94298f2f7f2b95c1e069603b8fe1afcaae85f52819f99202d05b7be7254b4","observation_id":"5a0dedf2-00a5-42b8-852c-6ce2ac084054","resolution":{"observed_at":"2026-08-07T14:15:17.010953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:16.753515Z","title":null,"venue":null,"work_id":"f0880caf-09d3-4d5d-b030-6bd989c0306b","year":2001},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.594118Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:d5226df0cce72defbf224ad7ef49d3abd357a2fafa2b15cd5f5c7deec6ba2074","observation_id":"91895a86-bd3c-4b52-9396-0cafbef874bf","resolution":{"observed_at":"2026-08-07T14:15:16.857096Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:16.572790Z","title":"86, Springer, New York, 2017","venue":null,"work_id":"012cf075-7f16-44f7-b095-a2fe78054a5b","year":2017},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.677209Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:b069e68c141272d2daec929d2da6a20805eddf437602f5299e768f6475ae6d26","observation_id":"08819f8a-c7f0-40f4-8af2-73d0b2f10cc6","resolution":{"observed_at":"2026-08-07T14:15:16.642818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T14:15:16.431716Z","title":"Z¨ ahle,Integration with respect to fractal functions and stochastic calculus","venue":null,"work_id":"1fca67a0-cddc-47be-a3ad-fd3c6357c4f5","year":2001},"citing_paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T14:15:15.729662Z"},"links":{"citing_paper":"/paper/2505.20437"},"observation_digest":"sha256:3d24b2d956e9e3640d8a87f837d5eacd9bbc67dbe28e2dfa9d08da2fb12135df","observation_id":"83f1f92f-91c9-47d8-9cf0-beb20f89a1de","resolution":{"observed_at":"2026-08-07T14:15:16.488560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.20437","last_updated":"2025-05-26T18:33:46Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T13:52:32.647891Z","submitted_at":"2025-05-26T18:33:46Z","title":"Rough backward SDEs with discontinuous Young drivers"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":28},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2505.20437."}