{"as_of":"2026-08-12T03:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ed2b0849b735ff4aec42cf893d5117a06ebfe33491ef7e1c57f3123b9d0d6f79","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T03:42:44.356252Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2606.27774/citation-record","integrity":"/paper/2606.27774/integrity","json":"/paper/2606.27774/citation-record.json","paper":"/paper/2606.27774"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T03:42:44.356252Z","title":"o s, and Torben H Kr \\","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:bc5fb8850cfe4055724c94a1a4f974eb7fce0f6e0c3182e03dfa73e805fa3674","observation_id":"13b9e74f-7808-4f82-bc29-504684b4a49f","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2502.15655","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T17:25:51.965101Z","title":null,"venue":null,"work_id":"21475d5d-f8db-4846-9252-2d651d63da26","year":2025},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:262d1541531b613c2df85a63b998264d90210750a38e160c64e4afb9e83f379a","observation_id":"f6e7192e-1c85-403f-923b-bdaabd52fcf5","resolution":{"observed_at":"2026-07-01T17:25:51.966398Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-29T03:42:44.356252Z","title":"118, Cambridge University Press , 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:06d4ae33c4914fb18206717f360480bf1ef721638a2305a305fe2ae82e5cbd3a","observation_id":"d05e3ddc-0ad3-4c70-8948-25b9c3bb7415","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2502.01953","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T17:25:51.967511Z","title":null,"venue":null,"work_id":"d4cdd3f8-60f1-41cb-bb3c-2fb559ce52f8","year":2025},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:52e56fa6f525839f20dc7286841fa064340e97a1b5bae208c8a9e0aa10a95bbf","observation_id":"c9fe7356-dfaa-4eb1-9d29-5436ce24db66","resolution":{"observed_at":"2026-07-01T17:25:51.968761Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-29T03:42:44.356252Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:1fc58f3d7ad04ecc939ac2d429dcf8507449a297c581bd35bc83f45b9fda0c79","observation_id":"1419780f-cf10-4259-b53d-c44cb3bf7571","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:92167a1729a07c86bc6c0f2204f210c43aff5596cbe21b32eaa9df5d2222344c","observation_id":"198ce76b-6f19-4459-8ab3-96bf03946ff3","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"cs/0610045","last_updated":"2006-10-09T14:45:37Z","snapshot_observed_at":"2026-08-02T00:52:07.842125Z","submitted_at":"2006-10-09T14:45:37Z","title":"Spectra of large block matrices","version":1},"cited_work":{"arxiv_id":"cs/0610045","doi":null,"metadata_source":"pith","pith_arxiv_id":"cs/0610045","snapshot_observed_at":"2026-07-01T17:25:51.962541Z","title":"Spectra of large block matrices","venue":"cs.IT","work_id":"0d37fe7b-1588-420a-a926-2a9daf36a008","year":2006},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"cited_paper":"/paper/cs/0610045","citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:e9f9a7b7717742ff2dda8ab8ac398f0640ccffb4f9bf6d5f2346685b1df96ce0","observation_id":"b232ec26-0e50-4935-9a59-a5239a988461","resolution":{"observed_at":"2026-07-01T17:25:51.964087Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-29T03:42:44.356252Z","title":"9, rnm086--rnm086","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:0dca9dc1f3e147358cf1bdff269d2974cac79227add4b1df6ecb92b1d612d463","observation_id":"657ee064-d95f-431e-afd5-7646758b78fe","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:2ace03c3f72167f35fe91010f119ea80c5fad38486a979d34783ec766d73a01b","observation_id":"c3c83537-d54f-4b99-9b79-d7b768140a74","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"3, 453--486","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:4bd99fbd6fc1fd986368fb7c440d426a4f4555397e7d9a4edd136ca03a596225","observation_id":"464969ae-663a-4ec6-b033-b6541a2fc537","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"3, 507--541","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:0cb0908b5d59ff95bbea2a3cd273baf399f9369889d45f5798f48410abbac26d","observation_id":"a84c767c-6bdf-4242-a532-7edd5d910012","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"287--327","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:53789bcf2b33718fe6a6c64bb21f303a6bfe377f3906f7c1806b4d838cfbbaf5","observation_id":"816770fd-8e70-4746-84ee-957cf9962656","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:a6d2a81a92a4837ec0150ce3cf831cfab07cfcbcbcff1ab3c9e1be0dc3986364","observation_id":"45a36011-6c77-48c1-8c7e-a1a6994d0244","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"4, 457--483","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:1a5f29fbcfa1e60b4155c41f54d64c472be3650795bf02e3e4adc73b3fd55530","observation_id":"70e3c81e-77d6-4f11-be2d-4d383631eced","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"4310--4312","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:12727d93213db20be8392a738525bde73fa1b1eade194c309ae73528b90a67fc","observation_id":"09961874-e0a5-47b5-8992-c98889ff6e4c","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"13, Cambridge University Press, 2006","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:b18b0ce1bf40e1d737aefb9978e820e541c645deff3e1425b30ef1aba5614d04","observation_id":"ab56d2b3-05b6-44a0-9577-842b49ef88c6","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2510.23987","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T17:25:51.969880Z","title":"arXiv preprint arXiv:2510.23987 , year=","venue":null,"work_id":"9b32da4b-8cba-4ad4-8b74-a7bc4de499c7","year":2025},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:e69a4f2e26e4d4568a65fa639e62a1505bd5dad0b709ba7dc1c32ca9c7cba768","observation_id":"a7cdf2f3-322b-401d-b527-e8e9dd82bfed","resolution":{"observed_at":"2026-07-01T17:25:51.971614Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-29T03:42:44.356252Z","title":"2, 175--192","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:e8867b7ef5bdc7c9795ce871f6118058817f4343785ec41e1da5735ac20bef55","observation_id":"f3c4a1ec-ada9-4e00-b0b7-3d13339aca62","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","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":"2026-06-29T03:42:44.356252Z","title":"2, 295--309","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:f94000804555aa496127191482acdb8e5e8d15b10cb479d3b259fd808127a201","observation_id":"c9e864e5-1d77-4db6-bf5d-10a6e76196fa","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.03589","last_updated":"2020-09-08T09:00:49Z","snapshot_observed_at":"2026-08-11T18:54:08.598290Z","submitted_at":"2020-09-08T09:00:49Z","title":"Lecture Notes on \"Non-Commutative Distributions\"","version":1},"cited_work":{"arxiv_id":"2009.03589","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2009.03589","snapshot_observed_at":"2026-07-01T17:25:51.972695Z","title":"Non-commutative distributions","venue":null,"work_id":"ad98897f-8b92-4092-bdd1-16ff9d567be2","year":2009},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"cited_paper":"/paper/2009.03589","citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:f2781ea6294851fbdc7e567e7fd0184ca6e83000b0f59bc2d1915d65d1e401db","observation_id":"fea78729-825e-4edb-87cf-42b9a6a1c7dc","resolution":{"observed_at":"2026-07-01T17:25:51.974009Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-29T03:42:44.356252Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-29T03:42:44.356252Z"},"links":{"citing_paper":"/paper/2606.27774"},"observation_digest":"sha256:c3ff7e7362966e4a8fd2ee754a0a10d2b996bbb01391c4c87abe1f667e1ecd47","observation_id":"e6a1ff68-9a91-46c9-a543-ec0df58fa3fd","resolution":{"observed_at":"2026-06-29T03:42:44.356252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.27774","last_updated":"2026-06-26T06:59:52Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-03T14:50:20.667862Z","submitted_at":"2026-06-26T06:59:52Z","title":"Variational Formulas for the Spectrum of Block Wishart Matrices"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":5,"verified_fuzzy":0},"total_outbound_references":21},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.27774."}