{"as_of":"2026-08-12T14:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:96fabe23c04f0e2c3d1ba34709297254f542f5053751c5dbdd21fba95af62f3b","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:26:37.810665Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-06T17:21:32.157791Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T17:21:32.451425Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"cited_work":{"arxiv_id":"2501.15527","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.15527","snapshot_observed_at":"2026-08-06T17:21:32.451425Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","venue":"math.PR","work_id":"a5b82109-5142-4be1-b06b-27e527c9758a","year":2025},"citing_paper":{"arxiv_id":"2507.11429","last_updated":"2025-07-15T15:52:55Z","snapshot_observed_at":"2026-08-10T00:09:47.624320Z","submitted_at":"2025-07-15T15:52:55Z","title":"Randomised Euler-Maruyama Method for SDEs with H\\\"older Continuous Drift Coefficient Driven by $\\alpha$-stable L\\'evy Process","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T17:21:32.157791Z"},"links":{"cited_paper":"/paper/2501.15527","citing_paper":"/paper/2507.11429"},"observation_digest":"sha256:0be6ac6890d0c86f2007bbc5806a80c0a9ecc4068d5717d24bae3bf292dc5db4","observation_id":"430cd690-f221-4085-99c3-125003ae2ce6","resolution":{"observed_at":"2026-08-06T17:21:32.454077Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.15527/citation-record","integrity":"/paper/2501.15527/integrity","json":"/paper/2501.15527/citation-record.json","paper":"/paper/2501.15527"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:26:38.136701Z","title":null,"venue":null,"work_id":"6e31ae57-ec78-48e3-bbad-7fc233a32f7e","year":2024},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.717890Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:740cce7a7b2ae1c3b26f4039bac445bf18c9d27d2ae448b440cfa9ce491580b8","observation_id":"08cbc4ed-1b93-49e3-af96-a578710a3b6b","resolution":{"observed_at":"2026-08-10T14:26:38.141897Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.121573Z","title":null,"venue":null,"work_id":"962745a2-7b87-4bab-9ad8-18c25076019d","year":1966},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.723498Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:76ee36661a7ec8b332fba0b52165b2b684249b0ca57e54afbf023c7923cad235","observation_id":"a81a1830-7a7e-446a-b69f-bb38b6a8996f","resolution":{"observed_at":"2026-08-10T14:26:38.126081Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.106062Z","title":"and Gerencs´ er, M.: Approx imation of SDEs: a stochastic sewing approach, Probability theory and related fields , 181, 975-1034, (2021)","venue":null,"work_id":"aa2f7289-401b-4a2a-8c7f-36a978778b7c","year":2021},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.728283Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:de9cc08978cfccaa4b9093681d56df76102de9a0584464ae44c31e02691df224","observation_id":"0c96a6e0-e98c-4d5e-bebb-61d5daa0b233","resolution":{"observed_at":"2026-08-10T14:26:38.110881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.091090Z","title":null,"venue":null,"work_id":"59170882-494f-4394-85c0-b4dafb72a6c5","year":2007},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.732996Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:5b804bf9ca6a79859a221fd8ba07f524e6d1f7bf9b1d610a09c159ed50333dd8","observation_id":"05e08c5f-6829-47e2-91f2-25c506e8a977","resolution":{"observed_at":"2026-08-10T14:26:38.095871Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.076263Z","title":"and Lˆ e, K.: Quantifying aconvergence theorem of Gy¨ ongy and Krylov, The Annals of Applied Probability , 33(3), pp.2291-2323, (2023)","venue":null,"work_id":"18de2e9f-8dda-4f31-8f6f-60e9bd2842d0","year":2023},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.737906Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:07504b99d7d75b24ebf7e2546a3567eb46188504ba5e487dbfb3babc07f93c93","observation_id":"ee00b60c-8610-43a6-8b9c-6e3cf5be6880","resolution":{"observed_at":"2026-08-10T14:26:38.081078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.061210Z","title":"RANDOMISED EM FOR SDES WITH H ¨OLDER CONDITIONS 21","venue":null,"work_id":"00ee54c6-85fc-436b-bf41-21829911f371","year":2011},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.742833Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:73a09af4a277a9ea859165ad930f8b6af5f1a4aa6dc0aff62e377050a8c259f8","observation_id":"99e6bbb5-87a1-4a83-88df-b8e9b96b10af","resolution":{"observed_at":"2026-08-10T14:26:38.066431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.046450Z","title":"and Yaroslavtseva, L.: Sharp lower error bounds for pathwise approximation of SDEs with a H¨ older drift coefficient,In work progress , (2025)","venue":null,"work_id":"a12cfdee-760c-43f0-ab20-5efe01deed2f","year":2025},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.748168Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:b44642360248899e4bba7e3ec46478747bc5f51203a178e8dcf712740d56e14d","observation_id":"b1f7fea5-cff8-4fe4-9692-baad092b0025","resolution":{"observed_at":"2026-08-10T14:26:38.051271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.16004","last_updated":"2024-12-11T07:30:42Z","snapshot_observed_at":"2026-08-12T10:20:43.646569Z","submitted_at":"2023-05-25T12:45:24Z","title":"The Milstein scheme for singular SDEs with H\\\"older continuous drift","version":2},"cited_work":{"arxiv_id":"2305.16004","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.16004","snapshot_observed_at":"2026-08-10T14:26:37.861704Z","title":"The Milstein scheme for singular SDEs with H\\\"older continuous drift","venue":"math.PR","work_id":"03c47b38-e0e0-4fa6-bb3d-913d5e1680b2","year":2023},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.752876Z"},"links":{"cited_paper":"/paper/2305.16004","citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:a84769eadedd46aa72c98016d8ca8ac35040f7ea1f5b49be392b1f4422d5ada7","observation_id":"94fe7510-bef0-48b6-a697-73e27363e988","resolution":{"observed_at":"2026-08-10T14:26:37.868746Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.11455","last_updated":"2024-11-28T10:05:48Z","snapshot_observed_at":"2026-08-11T12:23:26.568833Z","submitted_at":"2023-02-22T15:43:30Z","title":"Numerical approximation of SDEs with fractional noise and distributional drift","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.11455","snapshot_observed_at":"2026-08-10T14:26:37.758584Z","title":"and Richard, A.: Numerical approximation of SDEs with fractional noise and distributional drift, arXiv preprint, arXiv:2302.11455","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.758584Z"},"links":{"cited_paper":"/paper/2302.11455","citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:93427201529c09eea4abc0ea12df78a737baafe1d873ad36fbbf72a7af153cc0","observation_id":"6d1d0904-2075-448d-9af3-b41ff8cde946","resolution":{"observed_at":"2026-08-10T14:26:37.758584Z","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":"2026-08-10T14:26:38.031905Z","title":"and Krylov, N.: Existence of strong solutions for Itˆ o’s stochastic equations via approx- imations, Probability theory and related fields , 105(2), pp.143-158, (1996)","venue":null,"work_id":"e037346a-7c07-4e77-83e4-61d72eda4091","year":1996},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.763857Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:bd0a82986a7b1764318d2d00ed05c520f37298c93ceef8181268f00ae56c9fdd","observation_id":"885fe10d-f942-4f54-a969-562ef394ba6f","resolution":{"observed_at":"2026-08-10T14:26:38.036800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.016831Z","title":"and Milla, B.: The randomized complexity o f initial value problems, Journal of Com- plexity, 24(2), pp.77-88 (2008)","venue":null,"work_id":"3382c99c-dbf6-4487-8c8d-c698ab5eaae3","year":2008},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.768571Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:012cee3ee1e2d64b85f73816cee039657414239166c786960da103b01ddf4414","observation_id":"cf91627a-711b-4c48-bc0d-fd73b3a4c195","resolution":{"observed_at":"2026-08-10T14:26:38.021710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:38.002666Z","title":null,"venue":null,"work_id":"6b66c89f-de0b-49c0-908d-a6f914859899","year":2017},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.773241Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:47ffd4f79bc8ac0a7b6ccd57eb9192efbb526f0d1505fa416b4f2a4271b6b460","observation_id":"f52bf45f-ce8d-4481-a474-66c2147ef0ed","resolution":{"observed_at":"2026-08-10T14:26:38.007214Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.988350Z","title":null,"venue":null,"work_id":"6a02a0b7-3b6d-4830-b4e2-30663b328a8d","year":2019},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.778371Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:409bfd1f2a5ec402171679627bd6127e019e2ae38da45f01cfbf3c9696cc244b","observation_id":"e98811f1-7ee1-4c85-bce8-ef9f5e864717","resolution":{"observed_at":"2026-08-10T14:26:37.992912Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.973452Z","title":null,"venue":null,"work_id":"73202a37-cf7c-413a-baa2-400e6acdeb2a","year":2020},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.783630Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:7f3a8c0e71c279855d812752eaebdc6a14d9b7bfe9824d8ae82825ce3e4ddc27","observation_id":"a8d4aae5-5419-4868-909f-68b89be657c1","resolution":{"observed_at":"2026-08-10T14:26:37.977968Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.957355Z","title":null,"venue":null,"work_id":"da1edd27-66db-4fec-b089-bd7e8d51e1ad","year":2017},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.788444Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:f92c88d74ece65ffc29c0e0a868cafcd56550f2b5ca14b6c93b2e0daf5ec4338","observation_id":"1977377e-8000-4e6e-9565-6b19d5a450d1","resolution":{"observed_at":"2026-08-10T14:26:37.962893Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.941026Z","title":"and Sz¨ olgyenyi, M.: Randomized Milstein algorithm for approxima- tion of solutions of jump-diffusion SDEs, Journal of Computational and Applied Mathematics , 440, p.115631, (2024)","venue":null,"work_id":"42f8c37e-4d80-4f91-afcb-7d95686adee6","year":2024},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.792816Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:1a13215df4e77350ed6e48aac5fdedf939f2259de7c496a2f950ca0439c99b95","observation_id":"525187c5-6bb3-42ca-80a8-065719b673ad","resolution":{"observed_at":"2026-08-10T14:26:37.946061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.926079Z","title":"and Xie, X.: On approximationof solutions of stochastic delay differential equations via randomized Euler scheme, Applied Numerical Mathematics , 197, pp.143-163, (2024)","venue":null,"work_id":"eab95a4d-7712-4897-b3cf-687f0eeca29b","year":2024},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.797240Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:e02dd04ad37f7c8f6d1585c0ef3c448742060272f64761fa525dc484fc50b198","observation_id":"b735e370-b162-4fcf-ba3b-8eb050de28b4","resolution":{"observed_at":"2026-08-10T14:26:37.931030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.911122Z","title":null,"venue":null,"work_id":"b1450662-230b-48eb-a2be-c0b1f24e1b40","year":null},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.801586Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:00d2cd299449b05e72eb7fbafead52d269b3986d13e97f0941d3eafc21ac1551","observation_id":"5b743fe3-e5f5-4ebb-ae9c-dc650573822a","resolution":{"observed_at":"2026-08-10T14:26:37.915816Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.895388Z","title":"J.: On strong solutions and explicit f ormulas for solutions of stochastic integral equations, Mathematics of the USSR-Sbornik , 39(3), p.387 (1981)","venue":null,"work_id":"25c57883-1621-4b61-b7c0-6ff4d4807bee","year":1981},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.806190Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:43424df499d1c37f999f666b6a7a0c0877a32aab253fdec0a3e7f5aaa27c43c9","observation_id":"e1ebac1c-c671-4062-b9fc-d55f3eed1925","resolution":{"observed_at":"2026-08-10T14:26:37.900470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T14:26:37.879761Z","title":"Center for Applied Mathematics, Tianjin University, 30007 2 Tianjin, P.R","venue":null,"work_id":"4e14e306-72c4-472c-80d9-51f1855a4f2b","year":1974},"citing_paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T14:26:37.810665Z"},"links":{"citing_paper":"/paper/2501.15527"},"observation_digest":"sha256:d4e22dceab7f39e7c2902d876751b1a4029ef7705d674752a940e24f972c044a","observation_id":"15e3f674-9524-4090-aea0-f9afb3b3ccfb","resolution":{"observed_at":"2026-08-10T14:26:37.884758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.15527","last_updated":"2025-01-26T13:41:23Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T15:52:30.506981Z","submitted_at":"2025-01-26T13:41:23Z","title":"Randomised Euler-Maruyama method for SDEs with H\\\"older continuous drift coefficient"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":10},"total_outbound_references":20},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2501.15527."}