{"as_of":"2026-08-12T19:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f76e8c5c2470f827776c9f5edfcd499411421427bde09622f2bead81e7005a53","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":"2026-08-11T11:14:34.746880Z","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/2412.15913/citation-record","integrity":"/paper/2412.15913/integrity","json":"/paper/2412.15913/citation-record.json","paper":"/paper/2412.15913"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:14:34.859317Z","title":"New derived symmetries of some hyperk ¨ ahler varieties","venue":null,"work_id":"a18ee31e-aa27-457a-8262-ba929b9707a1","year":2016},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.716513Z"},"links":{"citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:ecacd73abf12e16b3d1760865600f084d8ba18147bcb831c9fa0e3d8e29e5cdd","observation_id":"a0267d9e-3149-4cd4-a9ae-d907aefd5689","resolution":{"observed_at":"2026-08-11T11:14:34.863416Z","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":"math/0503729","last_updated":"2005-03-31T09:59:02Z","snapshot_observed_at":"2026-07-07T05:47:38.132778Z","submitted_at":"2005-03-31T09:59:02Z","title":"Ideal classes of three dimensional Sklyanin algebras","version":1},"cited_work":{"arxiv_id":"math/0503729","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0503729","snapshot_observed_at":"2026-08-11T11:14:34.777266Z","title":"Ideal classes of three dimensional Sklyanin algebras","venue":"math.RA","work_id":"40c81ad6-94f4-4fd1-bb77-e614123c34b0","year":2005},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.746880Z"},"links":{"cited_paper":"/paper/math/0503729","citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:5a04225d8bb8f732515fd8ecdba8992d65eca474ea21d34eca8fac2d7e1d5801","observation_id":"733b467a-724e-4248-93c2-93f677e182d8","resolution":{"observed_at":"2026-08-11T11:14:34.783513Z","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":"2026-08-11T11:14:34.847595Z","title":"Modules over reg ular algebras of dimension 3","venue":null,"work_id":"5474826a-a75a-4bf5-926e-cc1c55b00df2","year":1991},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.726811Z"},"links":{"citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:2d46f8b56482be5804f3197ba477c0fb6300f8226481ab77fca3fae9bdfbdb36","observation_id":"f32485fc-d173-48c1-a742-4d2c7950afba","resolution":{"observed_at":"2026-08-11T11:14:34.851897Z","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":"math/0402043","last_updated":"2005-01-18T12:57:14Z","snapshot_observed_at":"2026-08-05T20:42:04.701528Z","submitted_at":"2004-02-03T20:29:12Z","title":"Fourier-Mukai Transforms","version":2},"cited_work":{"arxiv_id":"math/0402043","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0402043","snapshot_observed_at":"2026-08-11T11:14:34.806898Z","title":"Fourier-Mukai Transforms","venue":"math.AG","work_id":"80a31dcb-e655-43f2-95e4-e3e1366cd6c4","year":2004},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.736748Z"},"links":{"cited_paper":"/paper/math/0402043","citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:c5cddd470000b5108dcf50e9d00c65c6e67597527c6791c165f5af7c2fe1f2a1","observation_id":"764bea28-8603-457f-be35-953a8b56e130","resolution":{"observed_at":"2026-08-11T11:14:34.811157Z","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":"0904.4330","last_updated":"2009-04-28T08:18:20Z","snapshot_observed_at":"2026-07-06T01:52:40.343271Z","submitted_at":"2009-04-28T08:18:20Z","title":"Hochschild homology and semiorthogonal decompositions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.4330","snapshot_observed_at":"2026-08-11T11:14:34.741936Z","title":"Deformation theor y of abelian categories","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":2009,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.741936Z"},"links":{"cited_paper":"/paper/0904.4330","citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:5d7d5e7242319b70617a50c86d306b4b2c61690ed07023c40fbd8cc0181baf23","observation_id":"8f9e7c44-5f0f-456b-aa2f-517ee7d89867","resolution":{"observed_at":"2026-08-11T11:14:34.741936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.7770","last_updated":"2014-11-28T07:42:23Z","snapshot_observed_at":"2026-07-06T04:01:57.780836Z","submitted_at":"2014-11-28T07:42:23Z","title":"Compact moduli of noncommutative projective planes","version":1},"cited_work":{"arxiv_id":"1411.7770","doi":null,"metadata_source":"pith","pith_arxiv_id":"1411.7770","snapshot_observed_at":"2026-08-11T11:14:34.834385Z","title":"Compact moduli of noncommutative projective planes","venue":"math.AG","work_id":"2efbb2a2-d6d3-453d-b588-df5e7edba61e","year":2014},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.721465Z"},"links":{"cited_paper":"/paper/1411.7770","citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:c8471fecdb4220755cc42a23e6a3f8ea75cf93989ab64347265d13271993684d","observation_id":"403b5264-60bc-416c-ab65-589d98f01ced","resolution":{"observed_at":"2026-08-11T11:14:34.838845Z","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":"2405.01683","last_updated":"2024-05-02T19:12:09Z","snapshot_observed_at":"2026-08-11T00:33:36.292132Z","submitted_at":"2024-05-02T19:12:09Z","title":"Non-existence of phantoms on some non-generic blowups of the projective plane","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.01683","snapshot_observed_at":"2026-08-11T11:14:34.731432Z","title":"Determinantal Barlow surfaces and phantom cate gories","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-11T11:14:34.731432Z"},"links":{"cited_paper":"/paper/2405.01683","citing_paper":"/paper/2412.15913"},"observation_digest":"sha256:2c6a33f5c7015adb7824596f739a4f1742bd550596b66e89bbe80ee932b3fdb3","observation_id":"dbc08a81-24b2-4f59-a74e-36d3692a0a7d","resolution":{"observed_at":"2026-08-11T11:14:34.731432Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.15913","last_updated":"2024-12-20T14:05:04Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T10:56:28.548700Z","submitted_at":"2024-12-20T14:05:04Z","title":"Nonexistence of phantom categories on very general noncommutative projective planes"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":2},"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 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2412.15913."}