{"as_of":"2026-08-11T08:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4f10160ec7f1306e0d517fa77a5045191dcdee46c21bfaa386b92f5952b1e662","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T18:28:23.678035Z","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":"2026-05-20T03:08:02.062303Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.13927","last_updated":"2024-04-22T07:04:47Z","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.13927","snapshot_observed_at":"2026-08-09T18:28:23.678035Z","title":"oring, Projectivity criteria for K\\","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.00623","last_updated":"2025-02-02T01:32:44Z","snapshot_observed_at":"2026-08-09T18:14:15.712552Z","submitted_at":"2025-02-02T01:32:44Z","title":"On compact K\\\"ahler manifolds with pseudo-effective tangent bundle","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-09T18:28:23.678035Z"},"links":{"cited_paper":"/paper/2404.13927","citing_paper":"/paper/2502.00623"},"observation_digest":"sha256:a0114bb719c4e1aaf372699d77b1fbc0c369eee713275c37ab1a53e756715d7e","observation_id":"58759036-899b-483f-a4a8-ec905b906411","resolution":{"observed_at":"2026-08-09T18:28:23.678035Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.13927","last_updated":"2024-04-22T07:04:47Z","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.13927","snapshot_observed_at":"2026-08-06T21:56:25.007664Z","title":"o ring. Projectivity criteria for K \\","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23218","last_updated":"2025-06-29T13:02:52Z","snapshot_observed_at":"2026-08-10T20:01:06.188001Z","submitted_at":"2025-06-29T13:02:52Z","title":"Compact K\\\"ahler manifolds with nef anti-canonical bundle","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T21:56:25.007664Z"},"links":{"cited_paper":"/paper/2404.13927","citing_paper":"/paper/2506.23218"},"observation_digest":"sha256:90b96d89d411b5d6119d6ff946466b8ab0365eb3ef5b65ad461cb6deef7975bb","observation_id":"63af6714-3967-41c1-a619-5854552feb80","resolution":{"observed_at":"2026-08-06T21:56:25.007664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.13927","last_updated":"2024-04-22T07:04:47Z","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms","version":1},"cited_work":{"arxiv_id":"2404.13927","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.13927","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and H\\\"oring, A","venue":null,"work_id":"ff7f8acc-bc65-4f1c-826d-7247feb4a106","year":2024},"citing_paper":{"arxiv_id":"2604.26425","last_updated":"2026-04-29T08:35:42Z","snapshot_observed_at":"2026-07-06T23:12:06.349884Z","submitted_at":"2026-04-29T08:35:42Z","title":"Compact K\\\"ahler contact manifolds","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-07T12:49:30.210450Z"},"links":{"cited_paper":"/paper/2404.13927","citing_paper":"/paper/2604.26425"},"observation_digest":"sha256:500fbdabca17751ca80ca431d809c1324617418732d2764a7412db97caab030a","observation_id":"6d7f4ec8-d044-4b69-9147-b27b95b4ec28","resolution":{"observed_at":"2026-05-12T09:06:26.636033Z","resolver_source":"arxiv_id","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":"2404.13927","last_updated":"2024-04-22T07:04:47Z","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms","version":1},"cited_work":{"arxiv_id":"2404.13927","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.13927","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and H\\\"oring, A","venue":null,"work_id":"ff7f8acc-bc65-4f1c-826d-7247feb4a106","year":2024},"citing_paper":{"arxiv_id":"2604.26691","last_updated":"2026-04-29T13:56:27Z","snapshot_observed_at":"2026-08-02T06:44:37.264108Z","submitted_at":"2026-04-29T13:56:27Z","title":"Deformation of pairs of $\\mathbb{P}^3$ and hypersurfaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-07T10:57:18.274092Z"},"links":{"cited_paper":"/paper/2404.13927","citing_paper":"/paper/2604.26691"},"observation_digest":"sha256:d9ac81520e7c80cfd5509841fd4380a10c4ddd89c283e626642a17b1e32faa2b","observation_id":"9319a42f-348e-44a3-87fd-d11c08d3cfc3","resolution":{"observed_at":"2026-05-12T09:26:25.963349Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2404.13927","last_updated":"2024-04-22T07:04:47Z","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms","version":1},"cited_work":{"arxiv_id":"2404.13927","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.13927","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"and H\\\"oring, A","venue":null,"work_id":"ff7f8acc-bc65-4f1c-826d-7247feb4a106","year":2024},"citing_paper":{"arxiv_id":"2605.20178","last_updated":"2026-05-19T17:59:08Z","snapshot_observed_at":"2026-07-06T23:30:49.211483Z","submitted_at":"2026-05-19T17:59:08Z","title":"Sharp systolic inequalities for K\\\"ahler manifolds","version":1},"reference_index":114,"source":"arxiv_source","source_observed_at":"2026-05-20T03:05:30.264175Z"},"links":{"cited_paper":"/paper/2404.13927","citing_paper":"/paper/2605.20178"},"observation_digest":"sha256:373351bcc55c597985e298db2c8ff6b6a7a2d6e610a8095aa69f022b9a87a692","observation_id":"8942286f-42e3-4652-a6e5-39b47fb736e0","resolution":{"observed_at":"2026-05-20T03:08:02.065433Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2404.13927","last_updated":"2024-04-22T07:04:47Z","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.13927","snapshot_observed_at":"2026-07-31T04:24:42.352414Z","title":"Claudon and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24986","last_updated":"2026-07-27T18:39:33Z","snapshot_observed_at":"2026-08-08T22:53:12.107970Z","submitted_at":"2026-07-27T18:39:33Z","title":"On the K\\\"ahler MMP and the transcendental base-point-free theorem","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-31T04:24:42.352414Z"},"links":{"cited_paper":"/paper/2404.13927","citing_paper":"/paper/2607.24986"},"observation_digest":"sha256:683ad5f458ed118ef32fc25cdfcfb72e5598c8ccd311f70fd96ed3b82f3f3a49","observation_id":"7c8bbd9c-3bee-49b8-97d7-43daafa9161d","resolution":{"observed_at":"2026-07-31T04:24:42.352414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.13927/citation-record","integrity":"/paper/2404.13927/integrity","json":"/paper/2404.13927/citation-record.json","paper":"/paper/2404.13927"},"outbound":[],"paper":{"arxiv_id":"2404.13927","last_updated":"2024-04-22T07:04:47Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-04T19:02:07.403734Z","submitted_at":"2024-04-22T07:04:47Z","title":"Projectivity criteria for K\\\"ahler morphisms"},"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 6 inbound Pith citation observations for arXiv:2404.13927."}