{"as_of":"2026-08-08T20:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f611a42924faa3daed5f60e1b2ccc13f530d0e9b856628cd89c467026e93382c","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:34:54.396958Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:48:06.040074Z","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":"2026-08-06T21:48:08.426626Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2506.21939","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.21939","snapshot_observed_at":"2026-08-06T21:48:08.426626Z","title":"Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves","venue":"math.AG","work_id":"0de1965a-4000-4865-a065-b2f72d14d39a","year":2025},"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":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:48:06.040074Z"},"links":{"cited_paper":"/paper/2506.21939","citing_paper":"/paper/2506.23842"},"observation_digest":"sha256:de85b1f854989c26afd36e9b8b8068b107338dacb64610ca99a7649d4f82095b","observation_id":"64dd6b28-08ef-4748-9d42-09f79faf1001","resolution":{"observed_at":"2026-08-06T21:48:08.456727Z","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.21939/citation-record","integrity":"/paper/2506.21939/integrity","json":"/paper/2506.21939/citation-record.json","paper":"/paper/2506.21939"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:53.409814Z","title":"Polynomial Bridgeland Stability Conditions and the Large Volume Limit.Ge- ometry and Topology, 13(4):2389–2425, June 2009.doi:10.2140/gt.2009.13.2389","venue":null,"work_id":null,"year":2009},"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":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:53.409814Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:567cfdd415ae413679550c94dd151790c2b3c4264cb3e5ef7c3238c85e6d7c37","observation_id":"79792c6a-d3fb-46f3-9d4b-334ae6595303","resolution":{"observed_at":"2026-08-06T22:34:53.409814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0005152","last_updated":"2010-06-23T18:45:24Z","snapshot_observed_at":"2026-08-08T09:39:54.620483Z","submitted_at":"2000-05-16T02:44:52Z","title":"Perverse coherent sheaves (after Deligne)","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0005152","snapshot_observed_at":"2026-08-06T22:34:53.488212Z","title":"Perverse Coherent Sheaves (after Deligne), 2010","venue":null,"work_id":null,"year":2010},"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":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:53.488212Z"},"links":{"cited_paper":"/paper/math/0005152","citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:1f46c9f54c8cceee994ab1896025a174b6a0da17f9b6cb71dfe16a67839e7064","observation_id":"47d03cc6-56f7-4140-8e11-66bba986ceb8","resolution":{"observed_at":"2026-08-06T22:34:53.488212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.10426","last_updated":"2024-01-22T12:40:51Z","snapshot_observed_at":"2026-08-08T10:22:41.927839Z","submitted_at":"2020-12-18T18:32:19Z","title":"$Z$-critical connections and Bridgeland stability conditions","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.10426","snapshot_observed_at":"2026-08-06T22:34:53.595101Z","title":"arXiv:2012.10426","venue":null,"work_id":null,"year":2023},"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":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:53.595101Z"},"links":{"cited_paper":"/paper/2012.10426","citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:a120840b9357c80df7bfb641bf0f84227edf7ded763c05fc87cf1d1a432bed72","observation_id":"2f2f7183-29d8-4248-9724-2c8a1282d11b","resolution":{"observed_at":"2026-08-06T22:34:53.595101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:53.714472Z","title":"Cambridge Mathematical Library","venue":null,"work_id":null,"year":2010},"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":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:53.714472Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:9e88063a08d1688ad03a5a05e9974cf2ca0af54085c1a4ac9712a763eac092f8","observation_id":"51625549-b731-44a2-9ef8-e154baffb00c","resolution":{"observed_at":"2026-08-06T22:34:53.714472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:55.496432Z","title":"t-Structures on the Derived Categories of Holonomic D-Modules and Coherent O-Modules.Moscow Mathematical Journal, 4, 01 2004.doi:10.17323/ 1609-4514-2004-4-4-847-868","venue":null,"work_id":"b12c611d-c282-4915-9e6f-4bfa48d42113","year":2004},"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":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:53.829100Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:16d282858f0e7ead6f4bad5883e1080472cdf677706ca5a76037ee0c1c774d31","observation_id":"f435da70-e662-4761-9814-198bf3a67745","resolution":{"observed_at":"2026-08-06T22:34:55.558169Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:54.044746Z","title":"Einstein Type Metrics and Stability on Vector Bundles.Journal of Differential Geometry, 45(3):514 – 546, 1997.doi:10.4310/jdg/1214459841","venue":null,"work_id":null,"year":1997},"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":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:54.044746Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:c4bf3be490a5ef246dd2b97a11682b699222b720ebef376732dd1c2d812a15d0","observation_id":"fdc8dcf1-df99-42f0-a203-5059c7db5328","resolution":{"observed_at":"2026-08-06T22:34:54.044746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10711-025-00978-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:54.760839Z","title":"Semistability Conditions Defined by Ample Classes.Geom","venue":null,"work_id":"cfe4e891-efbe-4a6e-833a-f34ce64f607c","year":2025},"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":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:54.144654Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:d5dd3b72d49e4f05c92fae8b035cb78a134461bcbac75ad29c0efa2b9bb104c5","observation_id":"0a402c36-cb5a-4b50-b73c-afd3181ce484","resolution":{"observed_at":"2026-08-06T22:34:54.857647Z","resolver_source":"doi","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1997.7093","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:55.136057Z","title":"Stability for an Abelian Category.Journal of Algebra, 197(1):231–245, 1997","venue":null,"work_id":"0b4c459f-a885-4b93-a647-e4329c5e00b8","year":1997},"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":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:54.248936Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:a0bf9bbf8aa0f54169bc3a7214b57a6100d1332a9386794183386bbe311f1061","observation_id":"9384c75c-d0ee-4b9a-ad3b-a2ff46bfe002","resolution":{"observed_at":"2026-08-06T22:34:55.262129Z","resolver_source":"raw_fallback","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02698887","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:34:54.521866Z","title":null,"venue":null,"work_id":"eabb2f43-340b-48f3-b9d7-275df8dfb904","year":1994},"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":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:34:54.396958Z"},"links":{"citing_paper":"/paper/2506.21939"},"observation_digest":"sha256:b307a90cc903b82a9e8fd4c37829853ca7e19bc730eb197976f72d6a5b8be6c2","observation_id":"e2f3be5a-ee04-4f36-aed2-64534cff4ce9","resolution":{"observed_at":"2026-08-06T22:34:54.621302Z","resolver_source":"doi","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":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.21939","last_updated":"2025-09-05T14:46:40Z","latest_version":2,"primary_category":"math.AG","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"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":10},"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 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2506.21939."}