{"as_of":"2026-08-22T09:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:32e17433ff5ad5ae02e671361c77fc984f400bf74a34680498cfb38993bc62bf","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:21:42.425153Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-23T05:07:34.883521Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.06568","last_updated":"2024-11-25T12:07:43Z","snapshot_observed_at":"2026-08-17T01:11:02.485818Z","submitted_at":"2024-06-03T15:29:14Z","title":"Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.06568","snapshot_observed_at":"2026-08-11T23:59:55.220752Z","title":"Bozgan, T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.02131","last_updated":"2024-12-03T03:37:51Z","snapshot_observed_at":"2026-08-15T13:25:22.725851Z","submitted_at":"2024-12-03T03:37:51Z","title":"Nonexistence of minimal mass blow-up solution for the 2D cubic Zakharov-Kuznetsov equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T23:59:55.220752Z"},"links":{"cited_paper":"/paper/2406.06568","citing_paper":"/paper/2412.02131"},"observation_digest":"sha256:3ba34c3c10a0b75f2610fb9feb97bdf0fc5de2106549c5a53db6f45e58dd58c5","observation_id":"bcb20063-f934-4f70-9184-06007189d153","resolution":{"observed_at":"2026-08-11T23:59:55.220752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.06568","last_updated":"2024-11-25T12:07:43Z","snapshot_observed_at":"2026-08-17T01:11:02.485818Z","submitted_at":"2024-06-03T15:29:14Z","title":"Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation","version":2},"cited_work":{"arxiv_id":"2406.06568","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.06568","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bozgan, T-E","venue":null,"work_id":"c36dfad1-b0a3-4440-8fae-87302a8f9150","year":null},"citing_paper":{"arxiv_id":"2501.09157","last_updated":"2026-04-06T19:58:55Z","snapshot_observed_at":"2026-08-11T21:05:29.427475Z","submitted_at":"2025-01-15T21:18:17Z","title":"On the minimal Blow-up rate for the 2D generalized Zakharov- Kuznetsov model","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-23T05:05:34.524839Z"},"links":{"cited_paper":"/paper/2406.06568","citing_paper":"/paper/2501.09157"},"observation_digest":"sha256:4ddd315b1c1fd6b35f1bc341d4844c30566769df41c51518161e5e1547ac9dcf","observation_id":"2444fd99-0878-4f49-be01-78a2edadde18","resolution":{"observed_at":"2026-05-23T05:07:34.886194Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.06568","last_updated":"2024-11-25T12:07:43Z","snapshot_observed_at":"2026-08-17T01:11:02.485818Z","submitted_at":"2024-06-03T15:29:14Z","title":"Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.06568","snapshot_observed_at":"2026-08-15T19:21:42.425153Z","title":"Bozgan and T.-E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.17179","last_updated":"2025-06-20T17:35:21Z","snapshot_observed_at":"2026-08-19T09:05:51.647739Z","submitted_at":"2025-06-20T17:35:21Z","title":"Scattering of the 2D modified Zakharov-Kuznetsov equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T19:21:42.425153Z"},"links":{"cited_paper":"/paper/2406.06568","citing_paper":"/paper/2506.17179"},"observation_digest":"sha256:26aa7f14981b1886da80605850b25c5799d94b42e0fc42322b9e017c2dc8655b","observation_id":"f5fd8cfc-813c-467b-8846-5c374986e332","resolution":{"observed_at":"2026-08-15T19:21:42.425153Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.06568","last_updated":"2024-11-25T12:07:43Z","snapshot_observed_at":"2026-08-17T01:11:02.485818Z","submitted_at":"2024-06-03T15:29:14Z","title":"Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.06568","snapshot_observed_at":"2026-08-06T11:07:50.078770Z","title":"Blow-up Dynamics for theL 2 critical case of the 2D Zakharov-Kuznetsov equation.preprint, arXiv:2406.06568, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23397","last_updated":"2025-07-31T10:12:58Z","snapshot_observed_at":"2026-08-07T08:42:59.123576Z","submitted_at":"2025-07-31T10:12:58Z","title":"Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:07:50.078770Z"},"links":{"cited_paper":"/paper/2406.06568","citing_paper":"/paper/2507.23397"},"observation_digest":"sha256:e77ddfa7ff33b1822e8388d30427128107b4160c1bc2dea248989e4302c41cc6","observation_id":"49c5ef2d-5771-4d3a-8ee6-6ed10bb68740","resolution":{"observed_at":"2026-08-06T11:07:50.078770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2406.06568/citation-record","integrity":"/paper/2406.06568/integrity","json":"/paper/2406.06568/citation-record.json","paper":"/paper/2406.06568"},"outbound":[],"paper":{"arxiv_id":"2406.06568","last_updated":"2024-11-25T12:07:43Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-17T01:11:02.485818Z","submitted_at":"2024-06-03T15:29:14Z","title":"Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2406.06568."}