{"as_of":"2026-08-11T10:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9ba113ba71e795b2701da43ec1f5b6da9210476944c424d78869ebfe0e6aeb21","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T10:22:55.786837Z","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":"2026-08-06T10:25:30.632877Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.05374","last_updated":"2023-04-11T17:37:49Z","snapshot_observed_at":"2026-08-08T15:34:52.544690Z","submitted_at":"2023-04-11T17:37:49Z","title":"Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $\\mathbb{T}^2$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05374","snapshot_observed_at":"2026-08-10T05:55:48.927149Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.16905","last_updated":"2025-09-03T15:26:25Z","snapshot_observed_at":"2026-08-10T11:10:04.745364Z","submitted_at":"2025-01-28T12:47:32Z","title":"Enhanced Dissipation via time-modulated velocity fields","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T05:55:48.927149Z"},"links":{"cited_paper":"/paper/2304.05374","citing_paper":"/paper/2501.16905"},"observation_digest":"sha256:549d09a6013bc565dc40cd3042aea4cc13d1dc993c03c99d089207892e2587ba","observation_id":"c840d64e-7cf9-479c-a318-4707092cfc96","resolution":{"observed_at":"2026-08-10T05:55:48.927149Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05374","last_updated":"2023-04-11T17:37:49Z","snapshot_observed_at":"2026-08-08T15:34:52.544690Z","submitted_at":"2023-04-11T17:37:49Z","title":"Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $\\mathbb{T}^2$","version":1},"cited_work":{"arxiv_id":"2304.05374","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.05374","snapshot_observed_at":"2026-08-06T10:25:30.632877Z","title":"Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $\\mathbb{T}^2$","venue":"math.AP","work_id":"b4a465d1-5a10-4b02-b345-af20832a9041","year":2023},"citing_paper":{"arxiv_id":"2508.00115","last_updated":"2025-07-31T19:08:47Z","snapshot_observed_at":"2026-08-09T01:19:26.764897Z","submitted_at":"2025-07-31T19:08:47Z","title":"Turbulent and intermittent phenomena in a universal total anomalous dissipator","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T10:25:30.353350Z"},"links":{"cited_paper":"/paper/2304.05374","citing_paper":"/paper/2508.00115"},"observation_digest":"sha256:27ee10dd25718b2e66645c9efbe628ef684a30d6655fae658e9dd446a0d8d079","observation_id":"a360d55e-75a2-496e-a5c4-cff8874d2854","resolution":{"observed_at":"2026-08-06T10:25:30.637194Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05374","last_updated":"2023-04-11T17:37:49Z","snapshot_observed_at":"2026-08-08T15:34:52.544690Z","submitted_at":"2023-04-11T17:37:49Z","title":"Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $\\mathbb{T}^2$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05374","snapshot_observed_at":"2026-08-10T10:22:55.786837Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.07329","last_updated":"2026-08-07T15:27:20Z","snapshot_observed_at":"2026-08-11T10:11:46.646725Z","submitted_at":"2026-08-07T15:27:20Z","title":"Sampling and Optimization meet Enhanced Flows","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T10:22:55.786837Z"},"links":{"cited_paper":"/paper/2304.05374","citing_paper":"/paper/2608.07329"},"observation_digest":"sha256:859b80af9d77de4a4f1eab37efab3d8c137f7b46eda8acb763ad13786931f68e","observation_id":"7508e6c2-4849-40c0-97df-d649c1ca2369","resolution":{"observed_at":"2026-08-10T10:22:55.786837Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2304.05374/citation-record","integrity":"/paper/2304.05374/integrity","json":"/paper/2304.05374/citation-record.json","paper":"/paper/2304.05374"},"outbound":[],"paper":{"arxiv_id":"2304.05374","last_updated":"2023-04-11T17:37:49Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-08T15:34:52.544690Z","submitted_at":"2023-04-11T17:37:49Z","title":"Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on $\\mathbb{T}^2$"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2304.05374."}