{"as_of":"2026-08-08T23:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bd63863def871c24ea4abb1cc754e03001cc646a890a26bb7eaded3efa2839b3","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:18:54.263066Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.03047/citation-record","integrity":"/paper/2506.03047/integrity","json":"/paper/2506.03047/citation-record.json","paper":"/paper/2506.03047"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:18:57.586355Z","title":null,"venue":null,"work_id":"b13d46ef-7504-423c-9b92-ab1590f93461","year":2010},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:52.631196Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:e9aba8719aa8691464b4dd68ceb51dd8d3e3d1bbfe1a7e41444a27d11ccc9031","observation_id":"c7db933f-4de2-4896-ae40-3b4c6226bb61","resolution":{"observed_at":"2026-08-07T11:18:57.724305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:57.349973Z","title":null,"venue":null,"work_id":"50484e41-a248-46f7-aff0-e9651eaffdbd","year":1976},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:52.758709Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:cb39b7af3f40ccd16af6ccd9ca776eec26fc10a30ac441c6f542c08d35d82df7","observation_id":"b451314f-cc39-48bf-9f67-3d7727958e7e","resolution":{"observed_at":"2026-08-07T11:18:57.441639Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:57.047226Z","title":null,"venue":null,"work_id":"ecedb73a-897a-44cd-97d6-228aa22585c7","year":2016},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:52.885556Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:3e903aa48906ff4da583b42aed25bed127e2d07682389f15e166f40eb8864bdd","observation_id":"f02345cf-bdcb-4759-85e2-c03cf14c2473","resolution":{"observed_at":"2026-08-07T11:18:57.172765Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:56.811859Z","title":null,"venue":null,"work_id":"67fe5f45-42b2-4c7b-9b92-60cf28561a19","year":2025},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.000430Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:4e25b07aa0aaf6e4761bab31b2b960ef77987b6c6df8fd213237471cf3bd4f01","observation_id":"20d61bcf-d277-4a04-9ba9-38e6e0ad28a0","resolution":{"observed_at":"2026-08-07T11:18:56.939922Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:56.540896Z","title":", Lim, J","venue":null,"work_id":"cd574c7f-3396-4f06-af58-074e5e51953f","year":2020},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.150290Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:f2d79def0150005b3bfaba740a71d55f36d1c1ae6213fc47eb787e92e092315b","observation_id":"735e5c76-aa75-4799-8b9c-f8810e2d6706","resolution":{"observed_at":"2026-08-07T11:18:56.671073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:56.298111Z","title":null,"venue":null,"work_id":"e49c4c07-07d8-4c69-bad6-21f6038b7c36","year":1986},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.289309Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:a58ffed75d703e40327cb75a982359c712ca227845373666395c2b24ada5d2e2","observation_id":"0af3351c-ff1d-4012-b0e4-337abc8b921d","resolution":{"observed_at":"2026-08-07T11:18:56.425257Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:56.060486Z","title":null,"venue":null,"work_id":"924cdd94-2cc0-4ecd-a38b-de96c8be9011","year":2012},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.380503Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:9a417b55480f33929359a020d5d11083f5ba0e511ca44ca2aa3b059a37885a14","observation_id":"dc87894f-7b32-48d9-9797-c9096c725663","resolution":{"observed_at":"2026-08-07T11:18:56.207178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.11964","last_updated":"2024-04-28T15:38:19Z","snapshot_observed_at":"2026-07-06T15:06:15.576863Z","submitted_at":"2023-03-21T15:51:39Z","title":"Fast exact simulation of the first passage of a tempered stable subordinator across a non-increasing function","version":3},"cited_work":{"arxiv_id":"2303.11964","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.11964","snapshot_observed_at":"2026-08-07T11:18:54.407894Z","title":"Fast exact simulation of the first passage of a tempered stable subordinator across a non-increasing function","venue":"math.PR","work_id":"c04bd2b1-f40b-4f7e-9d45-3bb0281d2bc4","year":2023},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.492309Z"},"links":{"cited_paper":"/paper/2303.11964","citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:d84404114ccc9f8762db489cef3d6f90ee0fc1a19d2119eaa378e23275b8d9b9","observation_id":"85e3aba6-4f02-492c-b792-36e7f045c11d","resolution":{"observed_at":"2026-08-07T11:18:54.474998Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:55.851093Z","title":", Leydold, J","venue":null,"work_id":"40d12fd7-64a8-4c25-abef-0a4f66eab8c3","year":2004},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.634860Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:ca053e9b59d1e16ccc2ece3d75d0d8ef8d9015b9e880efa9b320a0aeb0ac11f2","observation_id":"165e6a2a-d1d8-4427-bd5f-306a060371f5","resolution":{"observed_at":"2026-08-07T11:18:55.932762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:55.608715Z","title":null,"venue":null,"work_id":"a3bf866c-5276-4315-bab3-0bac7da60b84","year":2014},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.727892Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:8d4050bcda77552718515c6e0af642497eac550d912e4b9902f62dd784ac619f","observation_id":"9320ec90-d24f-444e-b685-036abc22215a","resolution":{"observed_at":"2026-08-07T11:18:55.731091Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:55.360124Z","title":", Martin, R","venue":null,"work_id":"d98aa762-e500-40f7-a942-f255a2fbdab2","year":2017},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:53.883694Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:0995f10d4f49218814553beee0f4e8cd184bd49377c149c6da1aa088026dec14","observation_id":"6f90727f-6189-44bc-9958-e06d1d6009de","resolution":{"observed_at":"2026-08-07T11:18:55.471063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:55.153741Z","title":null,"venue":null,"work_id":"b1732a55-6c7e-41e5-a04f-f2ed57228ae3","year":2010},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:54.024313Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:99b3d120142c413e5391d330db9eb94377a1d3c666b4ec5bd8dad551bd24da96","observation_id":"9279bdd3-2edc-47a4-902d-ccb7484770a9","resolution":{"observed_at":"2026-08-07T11:18:55.252291Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:54.917307Z","title":null,"venue":null,"work_id":"54c9dbb3-c7f5-4782-9faf-3ecdcf936039","year":1999},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:54.140220Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:3b8de17b57223f01e32a25fb8d8f22383d0f37655e6c96977646cf96e64bd076","observation_id":"ebda0105-6564-476a-9927-dda6daeab59f","resolution":{"observed_at":"2026-08-07T11:18:55.024924Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:18:54.647495Z","title":null,"venue":null,"work_id":"653ed428-6d3a-4732-9a7e-8d2902c1f825","year":1966},"citing_paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T11:18:54.263066Z"},"links":{"citing_paper":"/paper/2506.03047"},"observation_digest":"sha256:bbc7d8280a7046e0879a4dcadcbe1fd80d7b54d19e5d8b0f2f73662092394509","observation_id":"ea5ca394-2385-4644-ac72-abd86a14a4c0","resolution":{"observed_at":"2026-08-07T11:18:54.783519Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.03047","last_updated":"2025-06-03T16:28:42Z","latest_version":1,"primary_category":"stat.CO","snapshot_observed_at":"2026-08-07T11:07:19.721616Z","submitted_at":"2025-06-03T16:28:42Z","title":"Complexity of exact sampling of the first passage of a stable subordinator"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":3},"total_outbound_references":14},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.03047."}