{"as_of":"2026-08-20T04:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5ce84f2ce7240e6453bcbfc0cc523748810016d8c50b64c0eeb37c4fc0773da9","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T10:04:29.576498Z","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":"2026-07-01T14:15:47.376578Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.13678","last_updated":"2025-09-09T13:55:15Z","snapshot_observed_at":"2026-08-19T02:15:12.251012Z","submitted_at":"2023-12-21T09:00:34Z","title":"The Hele-Shaw semi-flow","version":2},"cited_work":{"arxiv_id":"2312.13678","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13678","snapshot_observed_at":"2026-07-01T14:15:47.376578Z","title":"Alazard and H","venue":null,"work_id":"11302345-f054-45d1-a5b0-77f5e2c31271","year":2023},"citing_paper":{"arxiv_id":"2502.19286","last_updated":"2026-04-08T09:25:03Z","snapshot_observed_at":"2026-08-07T03:42:51.201512Z","submitted_at":"2025-02-26T16:47:25Z","title":"Global-in-time estimates for the 2D one-phase Muskat problem with contact points","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-23T02:05:35.832741Z"},"links":{"cited_paper":"/paper/2312.13678","citing_paper":"/paper/2502.19286"},"observation_digest":"sha256:c3a699350759e295918af0ae5cbed9c84ab7b1bb81ccad1465bda74fb1553ebd","observation_id":"2a34822d-ed1b-4b0a-888f-820668ffff68","resolution":{"observed_at":"2026-05-23T02:07:23.299510Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13678","last_updated":"2025-09-09T13:55:15Z","snapshot_observed_at":"2026-08-19T02:15:12.251012Z","submitted_at":"2023-12-21T09:00:34Z","title":"The Hele-Shaw semi-flow","version":2},"cited_work":{"arxiv_id":"2312.13678","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13678","snapshot_observed_at":"2026-07-01T14:15:47.376578Z","title":"Alazard and H","venue":null,"work_id":"11302345-f054-45d1-a5b0-77f5e2c31271","year":2023},"citing_paper":{"arxiv_id":"2508.15491","last_updated":"2026-05-20T08:11:00Z","snapshot_observed_at":"2026-08-14T16:50:44.876317Z","submitted_at":"2025-08-21T12:16:58Z","title":"A potential theory approach to the capillarity-driven Hele-Shaw problem","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-21T22:27:52.202342Z"},"links":{"cited_paper":"/paper/2312.13678","citing_paper":"/paper/2508.15491"},"observation_digest":"sha256:3d0e8e7888f37109ea31e210bcf4481610bf142c7a88c967280b82445308bdf5","observation_id":"c22553fa-2c17-44ef-b9e5-27ae521eb848","resolution":{"observed_at":"2026-05-21T22:30:43.062635Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13678","last_updated":"2025-09-09T13:55:15Z","snapshot_observed_at":"2026-08-19T02:15:12.251012Z","submitted_at":"2023-12-21T09:00:34Z","title":"The Hele-Shaw semi-flow","version":2},"cited_work":{"arxiv_id":"2312.13678","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13678","snapshot_observed_at":"2026-07-01T14:15:47.376578Z","title":"Alazard and H","venue":null,"work_id":"11302345-f054-45d1-a5b0-77f5e2c31271","year":2023},"citing_paper":{"arxiv_id":"2605.11251","last_updated":"2026-05-28T14:16:01Z","snapshot_observed_at":"2026-07-06T23:23:06.755816Z","submitted_at":"2026-05-11T21:21:00Z","title":"Global well-posedness for the Hele-Shaw problem with point injection","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-13T02:20:33.745870Z"},"links":{"cited_paper":"/paper/2312.13678","citing_paper":"/paper/2605.11251"},"observation_digest":"sha256:609a215035aa50ede25bd0a81b1ff6ad88e615b912bf1524e0ff87f977a9ee1b","observation_id":"720025a7-8f5f-4963-bc6c-6bd14f619a8a","resolution":{"observed_at":"2026-05-13T02:22:06.294511Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13678","last_updated":"2025-09-09T13:55:15Z","snapshot_observed_at":"2026-08-19T02:15:12.251012Z","submitted_at":"2023-12-21T09:00:34Z","title":"The Hele-Shaw semi-flow","version":2},"cited_work":{"arxiv_id":"2312.13678","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13678","snapshot_observed_at":"2026-07-01T14:15:47.376578Z","title":"Alazard and H","venue":null,"work_id":"11302345-f054-45d1-a5b0-77f5e2c31271","year":2023},"citing_paper":{"arxiv_id":"2605.11251","last_updated":"2026-05-28T14:16:01Z","snapshot_observed_at":"2026-07-06T23:23:06.755816Z","submitted_at":"2026-05-11T21:21:00Z","title":"Global well-posedness for the Hele-Shaw problem with point injection","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-30T22:08:06.970949Z"},"links":{"cited_paper":"/paper/2312.13678","citing_paper":"/paper/2605.11251"},"observation_digest":"sha256:a2e009d7b2b839e8981f6af6b74857d46628b925cf61df2f65b656418a279cc4","observation_id":"e3bfbf9f-b3e0-442b-9e99-33e4d7a85588","resolution":{"observed_at":"2026-07-01T14:15:47.378002Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13678","last_updated":"2025-09-09T13:55:15Z","snapshot_observed_at":"2026-08-19T02:15:12.251012Z","submitted_at":"2023-12-21T09:00:34Z","title":"The Hele-Shaw semi-flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.13678","snapshot_observed_at":"2026-08-01T10:04:29.576498Z","title":"Alazard and H","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.20395","last_updated":"2026-07-22T17:32:12Z","snapshot_observed_at":"2026-08-18T19:44:26.976680Z","submitted_at":"2026-07-22T17:32:12Z","title":"Well-posedness of a Hele-Shaw problem in general dimensions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T10:04:29.576498Z"},"links":{"cited_paper":"/paper/2312.13678","citing_paper":"/paper/2607.20395"},"observation_digest":"sha256:5ffd370990f51c45c9bda6fdecd67b4ee250abbf28632f01d2db3fec3af9aa48","observation_id":"30d109f5-fa7a-4fda-987e-9af8e89856c7","resolution":{"observed_at":"2026-08-01T10:04:29.576498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2312.13678/citation-record","integrity":"/paper/2312.13678/integrity","json":"/paper/2312.13678/citation-record.json","paper":"/paper/2312.13678"},"outbound":[],"paper":{"arxiv_id":"2312.13678","last_updated":"2025-09-09T13:55:15Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-19T02:15:12.251012Z","submitted_at":"2023-12-21T09:00:34Z","title":"The Hele-Shaw semi-flow"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2312.13678."}