{"as_of":"2026-08-13T05:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:938d288b1c41a4eb5af6b96342be0c09cf6bbe2060dd82d5d799820c63925dab","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:08:34.657264Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.03579/citation-record","integrity":"/paper/2506.03579/integrity","json":"/paper/2506.03579/citation-record.json","paper":"/paper/2506.03579"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"math/0604458","last_updated":"2006-04-20T22:21:10Z","snapshot_observed_at":"2026-07-07T05:56:35.684418Z","submitted_at":"2006-04-20T22:21:10Z","title":"Fibr\\'es paraboliques et champ des racines","version":1},"cited_work":{"arxiv_id":"math/0604458","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0604458","snapshot_observed_at":"2026-08-07T11:08:35.285390Z","title":"Fibr\\'es paraboliques et champ des racines","venue":"math.AG","work_id":"564890ed-22ee-44f2-a39e-53330db092e5","year":2006},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:33.849415Z"},"links":{"cited_paper":"/paper/math/0604458","citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:b2ca333b5c51e81ec298f0dd2bb39665db9e3d2203a830ab47131415d03dbec5","observation_id":"02b71a8e-fb48-4194-b984-95ec7389c754","resolution":{"observed_at":"2026-08-07T11:08:35.368416Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0312230","last_updated":"2004-03-01T04:30:04Z","snapshot_observed_at":"2026-07-07T05:38:19.281714Z","submitted_at":"2003-12-11T13:38:34Z","title":"Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules","version":2},"cited_work":{"arxiv_id":"math/0312230","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0312230","snapshot_observed_at":"2026-08-07T11:08:34.853656Z","title":"Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules","venue":"math.DG","work_id":"f9461d16-812d-43a2-9aa9-71292bbcb7f6","year":2003},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:34.406909Z"},"links":{"cited_paper":"/paper/math/0312230","citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:36023e74bc488911471872eb085e51d869455dad36dd0e2f3a3892da5f9d520d","observation_id":"51dd6dd0-3045-4cb8-ac94-ef403aaf6195","resolution":{"observed_at":"2026-08-07T11:08:35.025576Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:08:35.508930Z","title":"Calculating the Parabolic Chern Character of a Locally Abelian Parabolic Bundle","venue":null,"work_id":"d1ced136-9a92-4d64-a685-597f5c8fb14d","year":2010},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":1339,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:34.657264Z"},"links":{"citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:382c63fad9323620c3f6f14ad2a9da6c886e89f9cabe89c440e538d7a6ca7517","observation_id":"6c8ac6c1-bf99-487e-9d0f-817d0e41a3eb","resolution":{"observed_at":"2026-08-07T11:08:35.609094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:08:35.735502Z","title":"Constructing Variation of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization","venue":null,"work_id":"5c604a1c-9cc9-41ce-b3e3-902ab6534d43","year":1988},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":1971,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:34.532693Z"},"links":{"citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:bba2d8ee34431f0dbb3823f3de9efabd0a30c6b2cd4cfce0bb8a3c2f87472f13","observation_id":"39057212-45e5-454c-8c76-1d6529bff5d7","resolution":{"observed_at":"2026-08-07T11:08:35.860195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.00221","last_updated":"2023-11-01T01:44:39Z","snapshot_observed_at":"2026-08-13T05:35:18.098214Z","submitted_at":"2023-11-01T01:44:39Z","title":"Sobolev inequalities on K\\\"ahler spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.00221","snapshot_observed_at":"2026-08-07T11:08:33.960844Z","title":"Heat Kernel Estimates and Lower Bound of Eigenvalues","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:33.960844Z"},"links":{"cited_paper":"/paper/2311.00221","citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:e3284e65f0fc9f11aa3a8bc56ec9c6706ce855d856238722cd159a722e4dff37","observation_id":"64a61f22-4d93-4c4b-8660-02d9b986000e","resolution":{"observed_at":"2026-08-07T11:08:33.960844Z","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":"2026-08-07T11:08:36.165383Z","title":"Gaussian Upper Bounds for the Heat Kernel on Arbitrary Mani- folds","venue":null,"work_id":"e5721290-dcba-40d7-921a-7314f9db0e57","year":1997},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:34.073937Z"},"links":{"citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:6ed54627747d44f397bd81b574f54f11d1a5b668bd7105b76abf8b45be927bc9","observation_id":"56e7b389-e380-46c7-ac36-66fc143bd9a3","resolution":{"observed_at":"2026-08-07T11:08:36.302615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:08:35.973322Z","title":"First Chern Class and Holomorphic Tensor Fields","venue":null,"work_id":"48fdc05a-a0e4-469e-af09-1d6bf0fc74e7","year":1980},"citing_paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T11:08:34.262152Z"},"links":{"citing_paper":"/paper/2506.03579"},"observation_digest":"sha256:0d6f0f24b8586bdb5de5ea59afaa2835100d29a63550f47bd9914c9a237cb75e","observation_id":"555e93da-db23-43ea-96f2-509ad0cd45ec","resolution":{"observed_at":"2026-08-07T11:08:36.068134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.03579","last_updated":"2025-06-06T20:59:26Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-07T10:57:13.661474Z","submitted_at":"2025-06-04T05:02:33Z","title":"Kobayashi-Hitchin Correspondence for Saturated Reflexive Parabolic Sheaves on K\\\"ahler manifolds"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":7},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2506.03579."}