{"as_of":"2026-08-08T14:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c0940991b010ce3f8da7592b78776dd98b79a961b7bf54af4bb80aa599a971dc","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":"2026-08-08T06:32:00.761636+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":"2026-08-06T22:34:53.933642Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.03312","last_updated":"2025-05-01T15:30:29Z","snapshot_observed_at":"2026-08-07T00:34:14.773781Z","submitted_at":"2024-05-06T09:40:41Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.03312","snapshot_observed_at":"2026-08-06T22:34:53.933642Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.21939","last_updated":"2025-09-05T14:46:40Z","snapshot_observed_at":"2026-08-08T11:30:14.598049Z","submitted_at":"2025-06-27T06:24:04Z","title":"Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:53.933642Z"},"links":{"cited_paper":"/paper/2405.03312","citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:876650290afad1bf0e89bdcd097ae971cab674c3b7ed3c0c2ea94a3d7cd51c3c","observation_id":"09eb928f-e905-49d9-8769-caa937ac5532","resolution":{"observed_at":"2026-08-06T22:34:53.933642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03312","last_updated":"2025-05-01T15:30:29Z","snapshot_observed_at":"2026-08-07T00:34:14.773781Z","submitted_at":"2024-05-06T09:40:41Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.03312","snapshot_observed_at":"2026-08-06T21:48:06.752272Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23842","last_updated":"2025-06-30T13:33:19Z","snapshot_observed_at":"2026-08-08T08:45:44.822626Z","submitted_at":"2025-06-30T13:33:19Z","title":"Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T21:48:06.752272Z"},"links":{"cited_paper":"/paper/2405.03312","citing_paper":"/paper/2506.23842"},"observation_digest":"sha256:31fec5ead3a1c2cfc1663546b05f2eaf8a264cd7d97fc581a09312da7830d7cc","observation_id":"3dd8d0f0-e2f7-429d-bd2d-f5f7e636cdad","resolution":{"observed_at":"2026-08-06T21:48:06.752272Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03312","last_updated":"2025-05-01T15:30:29Z","snapshot_observed_at":"2026-08-07T00:34:14.773781Z","submitted_at":"2024-05-06T09:40:41Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.03312","snapshot_observed_at":"2026-08-06T21:11:04.388447Z","title":"Z-Critical Equations for Holomorphic Vector Bundles on K¨ ahler Surfaces, 2024.arXiv:2405.03312","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.01534","last_updated":"2025-07-02T09:38:25Z","snapshot_observed_at":"2026-08-06T20:46:34.461383Z","submitted_at":"2025-07-02T09:38:25Z","title":"Perturbations of Vector Bundle whose Curvature Form Solves a Polynomial Equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T21:11:04.388447Z"},"links":{"cited_paper":"/paper/2405.03312","citing_paper":"/paper/2507.01534"},"observation_digest":"sha256:975201d6ccb551dd5557f3ff0a99e7e331b5e6c5fa7d9fb01548f9ae20b9286d","observation_id":"fe6546d2-4b22-4e7e-9c51-d9a21833ff01","resolution":{"observed_at":"2026-08-06T21:11:04.388447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03312","last_updated":"2025-05-01T15:30:29Z","snapshot_observed_at":"2026-08-07T00:34:14.773781Z","submitted_at":"2024-05-06T09:40:41Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","version":3},"cited_work":{"arxiv_id":"2405.03312","doi":"10.1007/s00208-026-03441-5","metadata_source":"pith","pith_arxiv_id":"2405.03312","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces","venue":"math.DG","work_id":"bd4ca6d0-9a76-4308-9a33-725feee6403f","year":2024},"citing_paper":{"arxiv_id":"2607.08622","last_updated":"2026-07-09T15:54:58Z","snapshot_observed_at":"2026-08-06T22:01:52.516064Z","submitted_at":"2026-07-09T15:54:58Z","title":"Deformed Hermitian-Yang-Mills equation on the manifold of full flags","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2405.03312","citing_paper":"/paper/2607.08622"},"observation_digest":"sha256:85ec686aad252827c076c03fbfa055ba385e423cb4bce8d3f8a2bc21e8a90bb9","observation_id":"cc9dca73-b3c9-438f-b4f3-1431104cee97","resolution":{"observed_at":"2026-07-10T04:46:46.413253Z","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":"2026-07-17T22:21:19.463837+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-17T22:21:19.463837+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.03312/citation-record","integrity":"/paper/2405.03312/integrity","json":"/paper/2405.03312/citation-record.json","paper":"/paper/2405.03312"},"outbound":[],"paper":{"arxiv_id":"2405.03312","last_updated":"2025-05-01T15:30:29Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-07T00:34:14.773781Z","submitted_at":"2024-05-06T09:40:41Z","title":"$Z$-critical equations for holomorphic vector bundles on K\\\"ahler surfaces"},"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":"2026-08-08T06:32:00.761636+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 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2405.03312."}