{"as_of":"2026-08-12T11:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:301f969996ce3c0910e816c8c1eb13aae88c89d2cf97bbf4fb05ef6693f03ee4","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T08:12:46.579173Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-06-26T06:22:49.779351Z","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":"2026-07-04T12:39:49.446451Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"cited_work":{"arxiv_id":"2606.03775","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.03775","snapshot_observed_at":"2026-07-04T12:39:49.446451Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","venue":"math.AG","work_id":"d034e823-14ee-4964-8005-6b728fae16b3","year":2026},"citing_paper":{"arxiv_id":"2606.23622","last_updated":"2026-06-22T17:19:03Z","snapshot_observed_at":"2026-08-08T14:03:27.775990Z","submitted_at":"2026-06-22T17:19:03Z","title":"On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-26T06:22:49.779351Z"},"links":{"cited_paper":"/paper/2606.03775","citing_paper":"/paper/2606.23622"},"observation_digest":"sha256:824163f7c180c68349a8c10e13deeee55a4591231168af9d121934de80bf57a3","observation_id":"c8669ab8-d20a-4a1d-b541-e78e91ba924d","resolution":{"observed_at":"2026-07-04T12:39:49.447669Z","resolver_source":"local_arxiv","status":"verified_exact"},"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"}}],"links":{"evidence":"/evidence","html":"/paper/2606.03775/citation-record","integrity":"/paper/2606.03775/integrity","json":"/paper/2606.03775/citation-record.json","paper":"/paper/2606.03775"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:c8a8c1091e46ba1e44b562e6c4b8e46eee38e60094860648828d6a9a47c93870","observation_id":"be4245d7-5fb5-4a08-b03c-09cd75a0d704","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:c6478c6cdc48d46bb3fe3162838e21732e4bcdb3ec5fe4cec7b2ad8bde1a2ff4","observation_id":"093b5c87-31be-4c81-86c5-87215dc5d189","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"Algebraic Geom","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:8a00ecabd52e41e89bda915c73d77434f80fd099a6cc72e5960852350145487e","observation_id":"d26419c7-3965-49a5-b678-152369f9b3b4","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:7320bb111dd82f9b96b03d086da00b01da645351795ea885c8165e836977a35a","observation_id":"7fdae981-5943-4dfd-9d82-f189912320ef","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"Bogomolov, Stability of vector bundles on surfaces and curves\\/, Einstein metrics and Yang-Mills connections (Sanda, 1990) LNPAM 145 ( 1993) Marcel Dekker, Inc., New York, 35--49","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:4c17c571dbd6ef7ff3633cc58dc8261dc8ead559f70415865e16e5890f1d399f","observation_id":"e33f9806-3fac-4f86-9db5-78773116a2f8","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:90674d8c7ac0bff343f74679f4b95a98c7d31b2abca5739b8a873e81616e4e60","observation_id":"127df96f-73f0-4012-9a2b-ce9471e34545","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.18528","last_updated":"2025-01-16T09:12:03Z","snapshot_observed_at":"2026-08-12T11:04:43.556159Z","submitted_at":"2024-11-27T17:20:48Z","title":"O'Grady's tenfolds from stable bundles on hyper-K\\\"ahler fourfolds","version":2},"cited_work":{"arxiv_id":"2411.18528","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.18528","snapshot_observed_at":"2026-07-04T12:39:49.454374Z","title":"Bottini, O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds, Preprint, arXiv:2411.18528 https://arxiv.org/abs/2411.18528","venue":null,"work_id":"d6f9768d-e937-449c-aa26-cce34ceb874b","year":1985},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"cited_paper":"/paper/2411.18528","citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:8f6514df7306b7a1e6029e86153d36ba3df20fe8242d1155a264ac2205efab62","observation_id":"9d13d7e3-b8c5-4ecf-9aef-f7594ff15a7f","resolution":{"observed_at":"2026-07-02T05:26:39.890579Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:e2a5799278b9e0c932fbc32e5b6e3af1afdaede019c2f7c9d5798763987a01d0","observation_id":"c8df8f88-2835-4187-93aa-a066631ec589","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:8b823eb77f9e481bf58c74e135f7b9a8c3357058cbe0b5aee537d33fd6f49369","observation_id":"c2eb769f-b0eb-4265-8583-ac4e8225aee7","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:41684e62f5446986fff1e88e70f6dc44a70b11fe2a8384f371213f8819f44e7e","observation_id":"d7952cb1-18c6-4ebd-aa8b-610f8a3002d5","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"ahler cone of a compact hyperk\\","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:79f741ee48b28ac99769a78cd55e5965734e8095f85c4c0da06c4f73b9b3159f","observation_id":"479d8617-04b2-4436-9694-6bfe49a36f8d","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:f40948991a13ff33a4ed57347a797dd5a4f4c04af331f973891022ece60e3dcc","observation_id":"b1178811-534d-4c16-9f8c-a023f29643a5","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:f69d5f5c92532cedd094e5cdb1a9c9a26884f9252cbcad3f26e8a1d9406fb4f0","observation_id":"57aa4c82-910c-4504-baa8-aad9de59de6f","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"2010/2011","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:97b651d68d2ff684ac5379e747afbce96e44eef3768feeed23cc362eeb2b008a","observation_id":"b0d7dcf1-2f24-45d9-9d87-fd72426e5fad","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:de5240f566e64b55d22129bca34dbafb7bee07496295d67b27b6f10eb0aa3fbb","observation_id":"fe4b21c9-8e31-4d21-8c6f-f42adee76d73","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"Algebraic Geom","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:7fd493e67a28b51f6d5d09b97e05c9c083e077d7c93788b8bdf5464d6d4b334c","observation_id":"ea488391-7f83-4f94-b643-385372d6e68a","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:8c2a7702739110628a3349eb4f13089a9065a8789aa168f39c5ed75705d2378b","observation_id":"0abe53a4-e152-44d8-901a-927f49e70594","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"64 (2024), 1261--1303","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:635ecab9946d17bae7bfd11c0ad0dd3e6d95835fe1f17d670fffabf9291072bd","observation_id":"71d5f8b3-0375-4716-b191-eee17521d919","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.03180","last_updated":"2025-09-03T10:06:07Z","snapshot_observed_at":"2026-08-09T23:00:25.381348Z","submitted_at":"2025-09-03T10:06:07Z","title":"Deformations of twisted sheaves and formality results","version":1},"cited_work":{"arxiv_id":"2509.03180","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.03180","snapshot_observed_at":"2026-07-02T05:26:39.891778Z","title":null,"venue":null,"work_id":"f3010398-2c28-4c6b-83af-b02938d49f3f","year":2025},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"cited_paper":"/paper/2509.03180","citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:68bbc6d0e25c492fe337906653fadcff21a78175e599b2707fb9c0fc155771df","observation_id":"90f443e4-aae7-43ac-9035-6a67a8e36ca9","resolution":{"observed_at":"2026-07-02T05:26:39.893046Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:05a17cfccec56d27e6b131f361a9ce9cf1eabd6c0b34625361b1db738c98ad25","observation_id":"e4a05905-24ba-4352-bd44-4b89cd088cd9","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"O'Grady, Moduli of abelian and K3 surfaces\\/, Thesis (Ph.D.) - Brown University","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:69c7d98a1c1cf1205bc2909cd52fe3cb441faa371218b9c4d6bfc0329700ef55","observation_id":"eeb95384-0f49-4ea5-80c9-5fe355b1abe6","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"O'Grady, The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface\\/, J","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:63b780bb9cb06d360fa5b3fe26ae2a221cf9c9366c878619fcfdee3e71097d95","observation_id":"702527f7-b2a1-4a4d-8bc0-a30521ec85a3","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"O'Grady, Modular sheaves on hyperk \\\"a hler varieties\\/ , Algebr","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:b9559a0f21ae45f4e3844b74bd56ee23c2b5e2630b5d0cbe80c3783880eac088","observation_id":"32e278d4-de19-48e3-9cfe-78434083ffac","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"O'Grady, Rigid stable vector bundles on hyperk\\\"ahler varieties of type K3^ [n] \\/ , J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:7d45b5b61c8bcd9c7ab5f1d5e84e102c1d100a9ac4723f7a1da2178f5ca66041","observation_id":"341976e6-a382-4fc1-8d23-6c20894c05e4","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"O'Grady, Rigid stable rank 4 vector bundles on HK fourfolds of Kummer type\\/, \\'Epijournal G\\'eom","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:556c1dfcf0a2751ebfce4fd88fa016dc1e6bcaa68ade4e86cc9a718e0c7184cd","observation_id":"4ede55b3-94d9-47f8-b349-7f83a1b2c3bf","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"O'Grady, Modular sheaves with many moduli\\/, Geometry and Topology 30 (2026), 203--246","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:8c8c59754fb3435345934081ce1340b18f732719aef071ae3fbb82e7ee40b015","observation_id":"c26f9ffb-79f1-4d3e-8904-5713e977f511","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:97fceaa3700d749fdbe54b5a4777e35cd598c3a4b1858975a590b52091e8f354","observation_id":"8e779edd-5e80-469b-bfcf-57088552c976","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:362e09fb09ecc2765580a1c64be7e30432a77038278d499e65a72eaccdf82924","observation_id":"7e25d16a-0e4f-4023-abb7-980da2871490","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":"Algebraic Geom","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:474c0dd75029956319736437e75246f65a999da382fdbfa8b4b7a4f5a84ddd49","observation_id":"112d7e57-9609-42e1-89bf-e957549b3b7a","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:fe838f93b332c32555e4899d626922bcccb9574d2f322720d224de885810f2eb","observation_id":"768c4887-dd41-41c4-96da-4ff6a4d87944","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","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":"2026-06-28T08:12:46.579173Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-28T08:12:46.579173Z"},"links":{"citing_paper":"/paper/2606.03775"},"observation_digest":"sha256:65351ba550cba3fb3b4b0c4ca62f08e10727ae9b390d2c0be8aceb1d355c2cd3","observation_id":"b7cfe8c3-7a31-4197-a1ac-899ab90daeec","resolution":{"observed_at":"2026-06-28T08:12:46.579173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.03775","last_updated":"2026-06-02T15:28:48Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-07T13:04:27.754455Z","submitted_at":"2026-06-02T15:28:48Z","title":"HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":31},"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 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2606.03775."}