{"as_of":"2026-08-08T03:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eb4bec5dd4245a6a681d16dfdb4fa61f8660c6284ebdca483db3804a27584230","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:15:50.953941Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.03421/citation-record","integrity":"/paper/2506.03421/integrity","json":"/paper/2506.03421/citation-record.json","paper":"/paper/2506.03421"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:15:55.842766Z","title":"Abi Jaber, M","venue":null,"work_id":"fce73e15-26ea-45a6-83b7-1a4b1a423d4f","year":2019},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.327165Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:510fe586ae3f622e405cdd19d04a3ddb77b6218260f72cc643b64eac727be92c","observation_id":"a4f27945-d564-48a7-a80c-02017c3cfe6c","resolution":{"observed_at":"2026-08-07T11:15:55.931503Z","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":"2026-08-07T11:15:55.577437Z","title":null,"venue":null,"work_id":"15692c98-cf2b-42f0-9554-54a396ff6eef","year":2020},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.376582Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:ae8203d2e9a8e49800f9b832c552a25e4198adc2dabd9191f74144dbef897a4c","observation_id":"8f836bcd-37f0-4959-84d5-2a7ed7918da3","resolution":{"observed_at":"2026-08-07T11:15:55.721145Z","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":"2026-08-07T11:15:55.357264Z","title":"Ben Alaya, M","venue":null,"work_id":"28650a5a-7d24-4c46-b8f5-d5bb773a513c","year":2022},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.454333Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:ec5c0b81550098782a5f63e2f240d1cab0a5bc514978770270332c1884898f7b","observation_id":"57001e0f-77b6-44ee-89e3-a81d77a2cb9d","resolution":{"observed_at":"2026-08-07T11:15:55.441197Z","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":"2026-08-07T11:15:55.119062Z","title":null,"venue":null,"work_id":"0d3af345-060e-4ba4-a6e8-a297e1edb780","year":2015},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.535594Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:41f51472f4ba43e87030820ee341086fa0c023902259dbe3c466fb15705a1af2","observation_id":"b7e473b0-6823-460d-b89a-fac02c75b074","resolution":{"observed_at":"2026-08-07T11:15:55.199895Z","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":"2026-08-07T11:15:54.933338Z","title":"Billingsley, Convergence of probability measures , John Wiley & Sons, Inc., New York-London-Sydney, 1968","venue":null,"work_id":"3861fd4f-a93d-4a08-841a-6660ae4874da","year":1968},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.637779Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:94282abe7c6d620bd1b5c63565653eab9a930cb514d20347c918c9ac2fc62eca","observation_id":"a0e984b6-7fa0-4727-99e7-653bad94f098","resolution":{"observed_at":"2026-08-07T11:15:55.020964Z","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":"2026-08-07T11:15:54.723663Z","title":"Dereich and S","venue":null,"work_id":"39c3228a-1056-4085-aaee-ab05eac67339","year":2016},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.731733Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:9b7f7ef3f62bb17f1c3e34fe6fc3bb89489c990ac915ab8fb06b885e01062054","observation_id":"69fc7fa1-6cf3-4daf-960e-1a21c9592504","resolution":{"observed_at":"2026-08-07T11:15:54.837342Z","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":"2026-08-07T11:15:54.541168Z","title":null,"venue":null,"work_id":"beb9ac1f-1580-4b22-aec6-764757b10339","year":2012},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.809500Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:ffc4a4bb362043ad8b93f4347e474fc3f94b5a0faaf46be99731a766d1b91882","observation_id":"48d515c9-d042-4617-b307-2bbd8349c148","resolution":{"observed_at":"2026-08-07T11:15:54.624861Z","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":"2026-08-07T11:15:54.338611Z","title":"Friz and S","venue":null,"work_id":"add76d24-36c1-4ada-9752-2306b3ce52d8","year":2014},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:48.901517Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:82c54185d18c8c80881d8dd6300756115f851147223bb57b78e265638552cdb7","observation_id":"59a6fe3d-1ce4-4f21-a7fa-167e1cd894f3","resolution":{"observed_at":"2026-08-07T11:15:54.420888Z","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":"2026-08-07T11:15:54.158133Z","title":"Fukasawa and T","venue":null,"work_id":"d251d28d-2e36-4b40-b2fe-9a89c27e7e95","year":2023},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.030551Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:3b36cce4750c9dc031091251f44e5887205c6d1642577480ca74ea282227a8e7","observation_id":"9599a012-e354-4b71-be4d-4394cc7f9c84","resolution":{"observed_at":"2026-08-07T11:15:54.239758Z","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":"2026-08-07T11:15:53.978922Z","title":null,"venue":null,"work_id":"7f838cea-e422-4a21-b1e9-6c277059b1af","year":2008},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.112969Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:0161924098795f1c8efb0544f3cf7b30d446ea6006ebc577fff58c8eb1ed9497","observation_id":"601cdd15-3271-4289-8024-40694078f5d9","resolution":{"observed_at":"2026-08-07T11:15:54.072831Z","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":"2026-08-07T11:15:53.814055Z","title":"Giorgi, D","venue":null,"work_id":"53efcd68-db61-4ce5-ac01-d219c50aa54b","year":2017},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.209075Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:ca4ff83d58cdb30dadb9f1e3f98c2e9a4b1b44e7fb0cfa8efe97be35ff78a5ac","observation_id":"5faf0cb7-f910-4765-afae-c7a0c25f3e88","resolution":{"observed_at":"2026-08-07T11:15:53.878652Z","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":"2026-08-07T11:15:53.658846Z","title":"Hoel and S","venue":null,"work_id":"7acd51cb-5cea-4035-8b11-fe6c7ffe5e5a","year":2019},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.282327Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:eac3f61ca0fbc4f3c402167345969c48ee88d895169e8367db7b796e66eafb37","observation_id":"67e1a348-a063-49a6-b129-8d73665ff156","resolution":{"observed_at":"2026-08-07T11:15:53.736183Z","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":"2026-08-07T11:15:53.515362Z","title":null,"venue":null,"work_id":"d3d310ed-3a20-4705-bbb7-358ed5d193b2","year":2016},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.406115Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:ff68a20948904008496e922d6cbf7d0c7c330fa44a540c4c75b9a75aeb1f3750","observation_id":"88d1ad7b-b7cf-4758-b257-b119d7dc0a81","resolution":{"observed_at":"2026-08-07T11:15:53.576698Z","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":"2026-08-07T11:15:53.369341Z","title":null,"venue":null,"work_id":"8f7409c2-1f64-4fe5-a382-a6e0c78946e2","year":2016},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.515450Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:8950c1fc817e95430713bddcbb720a51e252669bfad0495f8818baef92a91f31","observation_id":"12718ad3-78cb-4782-bb2f-9854a629cd1a","resolution":{"observed_at":"2026-08-07T11:15:53.432933Z","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":"2026-08-07T11:15:53.232373Z","title":"Jacod, On continuous conditional Gaussian martingales and stable convergence in law , Séminaire de Probabil- ités, XXXI, Lecture Notes in Math., vol","venue":null,"work_id":"5de2b96a-ca4f-494f-a930-e858c49ecf46","year":1997},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.593089Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:63feb9449b2e4e045fcefc05485aaa3cf3d1ba602ffa7a34cb598ca121168115","observation_id":"d8a1c89d-bea9-4bb1-a1f4-d363bd37185e","resolution":{"observed_at":"2026-08-07T11:15:53.283659Z","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":"2026-08-07T11:15:53.050391Z","title":"Jacod and P","venue":null,"work_id":"a5c8c2d5-0945-434e-83f3-fb1c569874d8","year":1998},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.720717Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:8a52539517fa8ae1a679a9533ab4d2aa7468fe1c88277344cb50b7ff3f5f2f1c","observation_id":"d1c7c9c2-8674-423e-b1d0-b2cdc6908125","resolution":{"observed_at":"2026-08-07T11:15:53.129495Z","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":"2026-08-07T11:15:52.872396Z","title":"Kebaier and J","venue":null,"work_id":"fb61887c-a03c-498d-a75e-4a9567a8992e","year":2018},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.858834Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:3cfbd0365addb5003d4c85f649a21d68591ca1e1bf517d13a1ea538ebc2b6b3f","observation_id":"8937dcf6-0c61-4839-8265-aa7232a492f6","resolution":{"observed_at":"2026-08-07T11:15:52.956221Z","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":"2026-08-07T11:15:52.705826Z","title":null,"venue":null,"work_id":"73e4e7af-269d-40b6-940a-2d7f5197150b","year":2006},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:49.966448Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:f8cb4b24c3104083c210c1cda7e4fa52953102d5a67723ddf05c98c09abe7e7a","observation_id":"5bcac677-c18e-4402-a293-85c4feeb9280","resolution":{"observed_at":"2026-08-07T11:15:52.792380Z","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":"2026-08-07T11:15:52.437937Z","title":null,"venue":null,"work_id":"c5039ce9-486c-4238-b432-97e1cbae519d","year":1991},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.129519Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:d632091ba074da92c58388f32165c5451f1fc36a1fac6a134afe628baa7a7327","observation_id":"4e3de5af-47f8-4d1a-92a9-d6bee5e05459","resolution":{"observed_at":"2026-08-07T11:15:52.581057Z","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":"2026-08-07T11:15:52.226042Z","title":null,"venue":null,"work_id":"8001f4f1-a3a2-4881-99b3-ff8bd10bf549","year":2022},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.236513Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:b853976eb8af41f7d22a05faadda0a6ec73aac5807542284139d3073305e9e89","observation_id":"dcedc3ee-b1a4-4c8b-b4ea-816ce52f3d30","resolution":{"observed_at":"2026-08-07T11:15:52.331352Z","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":{"arxiv_id":"2412.11126","last_updated":"2024-12-15T09:16:26Z","snapshot_observed_at":"2026-07-06T20:07:14.913902Z","submitted_at":"2024-12-15T09:16:26Z","title":"Limit error distributions of Milstein scheme for stochastic Volterra equations with singular kernels","version":1},"cited_work":{"arxiv_id":"2412.11126","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.11126","snapshot_observed_at":"2026-08-07T11:15:51.061421Z","title":"Limit error distributions of Milstein scheme for stochastic Volterra equations with singular kernels","venue":"math.PR","work_id":"7ca66623-0baa-4486-8bc1-4211c0ba3e8e","year":2024},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.377746Z"},"links":{"cited_paper":"/paper/2412.11126","citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:bcfb9b76b260f64d3313cb11830786a3a9d145febb14e5d137ffe334177a9411","observation_id":"6ec3ae22-582a-482c-a68d-b5eb2930e4ce","resolution":{"observed_at":"2026-08-07T11:15:51.232542Z","resolver_source":"local_arxiv","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":"2026-08-07T11:15:52.015491Z","title":"Liu and S","venue":null,"work_id":"85c13abd-9c1e-418a-bbde-18204c3c587a","year":2019},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.509267Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:c5f93ac73e76a71516c72cf0a29f3d212518efb94c6957d889a426fe01a23504","observation_id":"d2ce5b1e-1216-425d-8504-71eb5cad3471","resolution":{"observed_at":"2026-08-07T11:15:52.109524Z","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":"2026-08-07T11:15:51.813636Z","title":null,"venue":null,"work_id":"054f3fee-d2b0-4abd-a4b0-3a407e454145","year":1929},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.623178Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:40bcdbbe56b9bc03fe8687d3a049388fc906e5480891fe6ed920531373dce068","observation_id":"bb052bff-9556-46fe-9fb7-7edddeda351e","resolution":{"observed_at":"2026-08-07T11:15:51.934378Z","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":"2026-08-07T11:15:51.641120Z","title":"Nualart and B","venue":null,"work_id":"be51489a-7f78-488f-ae72-8f082b97df9d","year":2023},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.706050Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:f104e87ee6f53536b224208c8938abae451680687d00ea50c597ec638e4b501f","observation_id":"26a0a31d-4990-430c-9c17-bbb8f6202bba","resolution":{"observed_at":"2026-08-07T11:15:51.720947Z","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":"2026-08-07T11:15:51.452574Z","title":"Richard, X","venue":null,"work_id":"38834c47-2fae-46ce-9ea2-e2bcbf22a64d","year":2021},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.846304Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:c6f951b75a96dd05bd6990f8689b38207801fb1a7d5a6fc74572159269431a37","observation_id":"fde60b2d-8208-4e60-bcb2-6d5d0d492af2","resolution":{"observed_at":"2026-08-07T11:15:51.554409Z","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":"2026-08-07T11:15:51.359925Z","title":"Zhang, Euler schemes and large deviations for stochastic Volterra equations with singular kernels , J","venue":null,"work_id":"676dbc04-8d9d-4432-853b-ffff0115138f","year":2008},"citing_paper":{"arxiv_id":"2506.03421","last_updated":"2025-06-03T22:00:13Z","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T11:15:50.953941Z"},"links":{"citing_paper":"/paper/2506.03421"},"observation_digest":"sha256:2fd7ad94862fece36e9ad8c160092be5c1e97c647a79d83663dffe3d932da1da","observation_id":"7e062aad-53f9-4d50-a44b-f0622e09ec6a","resolution":{"observed_at":"2026-08-07T11:15:51.392621Z","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":"2506.03421","last_updated":"2025-06-03T22:00:13Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T11:01:02.153093Z","submitted_at":"2025-06-03T22:00:13Z","title":"Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":26},"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 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.03421."}