{"as_of":"2026-08-12T12:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f7d7fcd06137083475b76a77df0a5d53974599ea4ca3098c732b1d39c30380fb","coverage":[{"denominator":90,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":90,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T21:04:04.480947Z","state":"measured"},{"denominator":90,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":90,"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/2605.31356/citation-record","integrity":"/paper/2605.31356/integrity","json":"/paper/2605.31356/citation-record.json","paper":"/paper/2605.31356"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:4a1de1affc959401c55014e77abe8489ddda1db389d80c7a21b9316afdbcc6eb","observation_id":"0e6ce587-5d43-4021-b6ff-9a7c161c7d54","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Aleman, D","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:ca22114915915eb4255106dbd9069ddef455a26e7b0ef8e8ba5eb31f17a83150","observation_id":"ed276ec5-fab8-47da-ab71-01cebeafea41","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Angst, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:2a62760c0a7b0cc2fe962a5875e3e8c630d2ae4f66d626200bd16fe2577e4306","observation_id":"92831078-25f4-4d42-b264-dd16dcaee447","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2601.01212","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T20:26:13.380174Z","title":"Angst, O","venue":null,"work_id":"fc64896d-ee40-473a-b005-61ca5ae914f3","year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:0aae19c8202e6d8591fbf0c19fcc77d81e29a29bca7b80754bcc95365440f95a","observation_id":"436533e1-9ac5-4f5e-a418-e91be8723243","resolution":{"observed_at":"2026-07-01T20:26:13.382857Z","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":"2026-06-28T21:04:04.480947Z","title":"Anshelevich","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:8f36bc63e2e31f35b709c78d9a10f00769319aa2fa5ec0cee0243266521fc9c8","observation_id":"522c37a1-fe12-4b68-82cf-ac24f28a9c16","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Anshelevich","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:ad62903f885350b2770dcdf390bed78e6626049d8312c85100769df3d4fea835","observation_id":"7acad24c-e035-44c1-ba38-a7f85afbb117","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Anshelevich","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:45fefa7e9b62a937ccd168fdd9880d1ef33da2d35bdeae7be1ade8e604e942fc","observation_id":"9e106bc5-1b75-4c2d-8fcd-17612dcdddb1","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.08910","last_updated":"2025-07-29T13:46:13Z","snapshot_observed_at":"2026-08-11T18:46:23.419242Z","submitted_at":"2025-06-10T15:36:31Z","title":"Critical points of random polynomials and finite free cumulants","version":2},"cited_work":{"arxiv_id":"2506.08910","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.08910","snapshot_observed_at":"2026-07-01T20:26:13.384124Z","title":"Arizmendi, A","venue":null,"work_id":"20568b63-203b-4fdb-9628-81965536300e","year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2506.08910","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:25b580c34176b7f8af81cfa9f127bec4ed0ce933042718c4863d0fdec4c64742","observation_id":"567f8dce-5150-4729-85e2-1ca0285c0ccc","resolution":{"observed_at":"2026-07-01T20:26:13.386048Z","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":{"arxiv_id":"2605.02093","last_updated":"2026-05-05T09:47:49Z","snapshot_observed_at":"2026-07-06T23:15:11.601042Z","submitted_at":"2026-05-03T23:25:29Z","title":"An analytic approach to the finite R-transform","version":2},"cited_work":{"arxiv_id":"2605.02093","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.02093","snapshot_observed_at":"2026-07-01T20:26:13.391780Z","title":"An analytic approach to the finite R-transform","venue":"math.PR","work_id":"00e9eda6-8a48-4253-9d32-9aa3623d01d9","year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2605.02093","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e2ff109c19ce9f5a442fa8dbb75653f82955992f7cbf91fc8cbd1487f7813234","observation_id":"d1e19f2f-0fbe-44a1-89cb-380407da6354","resolution":{"observed_at":"2026-07-01T20:26:13.393039Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T21:04:04.480947Z","title":"Arizmendi, K","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:758203f2d36d1a61cbd62286c7dd2971dfe4cc09855e688cc50c68bfd237b5c5","observation_id":"1cff715d-4a52-43ba-a281-3ec03e29a718","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Arizmendi, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:d1eb399fc37843631ac4c6a773be6474f6d971795fc9dd2a46fa6fce82829b66","observation_id":"cb063666-7fea-4b1d-93bc-c87c802cf262","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Arizmendi and T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:f7dcb3670cbf8b810aa191e59068871841b5da2d84942cd243cac90b46a8b83b","observation_id":"ac738417-b740-4251-8c37-609e788be3fd","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Arizmendi, T","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:14ba2bae16a3ce87c307ca21015f31d1ef13b43017a691d72c993d0ccb44afcd","observation_id":"43a40355-2d65-4b67-9add-1c68152e3996","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Arizmendi and D","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:9fd426b25a3733066362cddbc62f3e5ec15871c5cefe224fe124fa0d0e201a2d","observation_id":"17bec40f-69fb-43c4-8cd1-22fdce811dd7","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Assiotis","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e59cbfb6c5efd5b0f339468fcfbcbd6d7eb6e08ab97adac2dd75a2e6d1f127d1","observation_id":"54e0c23f-71ad-452b-ace0-692dfa714c8f","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:7a97c1e05adbcd9db2b7b6af3a1dfdf274022c48ce84bf650c0496c946663785","observation_id":"0dbd821d-bb8a-4192-8e46-464bc2069c91","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:ae08765332b49f744b51cf27d2420fdc6ad4f0a958a20287bb08d09598e4cc45","observation_id":"42f7dece-af7a-44ce-8da6-f222ca05d9e8","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1935},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:5cc107baef7619d0e2465021b1956daa28c9139c4a0289a471ec2a986d1d58dd","observation_id":"05185ff1-9156-42a8-be0c-de3cbcf7b9ae","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Bercovici and V","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:1205f4368e649e6d937d48e8e10853823983db6a98185dee24c9cbcc4f42c058","observation_id":"2f23d27c-22a4-4bbb-9600-ea74efc806b6","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Bercovici and D","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:1acb3d7b81db6708ad9e36c3e6d7c8b90610a814fe29a9bfb7e7c5526e388627","observation_id":"e57f91c1-1349-452d-9a4a-9f40ebe064ab","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Bercovici and D","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:9111aaf6a42be0fad930d098b3adac0bc0af2a75da09607cab74727855fee95c","observation_id":"401e8f30-7c6b-4e8d-93c9-badfcaca88b4","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Bercovici, J.-C","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:d480389b6dff551e61b912aff95e33633c2a99d4a93ce3b91c21b845bf11d21f","observation_id":"a9443ffc-b723-4751-a665-3ad2d45f195c","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:068f09592e56503805e146b2de1899c2be5f0929551e36c16089d68ac69da40c","observation_id":"f53bb57c-8821-4eb2-9030-ee2e333237c2","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:2c80e54ee6cdc9e10bac1a32a31ba0ad03b6bfc922f0b544bbc414de976af260","observation_id":"f6d640f8-3a3e-4a49-a272-6f5445661b12","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Bøgvad, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:2d6f08f0cde9c3637976b8353509b97fa6a0d17d278e6bf4ff2bac00673340c8","observation_id":"a87e8d4f-960c-44cf-8e9e-1e2d9aae3139","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Borcea and P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:6643b793f061c5bbeb80e5df9cade2a14aaf26faa90dfa1187fb504b1dce371b","observation_id":"85486715-b845-45e6-a58c-7cda084f0dcb","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Borcea and P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:c661b780af400b95b6b4fe6e37c27c24245bbd45bc57540056ca674c2127ed32","observation_id":"d78420e1-184a-4c71-ac5a-a5320778b9a9","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:3e3f121e7defd24dc5c38ecfedfce3ee7dd8cf2efb251e44835322835cacdad2","observation_id":"58ddf910-100b-4eab-8e2a-fda13eb05254","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:2cb555a18a331f84952c483b42b1373fdcec811d36249f643ffa7a4f578f8760","observation_id":"0051cf45-1b8e-4d2f-b9c4-3138de25c04d","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Buri´ c, N","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e020d609dbbdc6be3b417185c5b7be8f1b36cff7efb5323c565ea901b5976dd9","observation_id":"21e3e739-4b2d-4d81-b752-e3829a8ff95b","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:ffbb1a43ca010422ca066c920cee0e536aa6a50f10b2e4c3cc5346a765654ae1","observation_id":"f6fb11b7-f456-48c9-84f9-65862e770ad9","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Campbell","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:0380400fca182455cc75494a32b00b5258f3727bdb5796a10442219962d8c2b7","observation_id":"4f72d88d-c2df-473d-80ab-e768ab5acc03","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Campbell, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:9b7bb0e7e6f79f4acd19f0b254da80b5d2f29ecf14cd0262146a60262212b161","observation_id":"8afa3f5a-b3e1-4a4d-b8ab-60406cfb5071","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06403","last_updated":"2026-05-21T15:36:47Z","snapshot_observed_at":"2026-08-03T17:29:17.100886Z","submitted_at":"2024-10-08T22:22:22Z","title":"Universality for roots of derivatives of entire functions via finite free probability","version":2},"cited_work":{"arxiv_id":"2410.06403","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.06403","snapshot_observed_at":"2026-07-01T20:26:13.396800Z","title":"Universality for roots of derivatives of entire functions via finite free probability","venue":"math.PR","work_id":"b1c96cd1-24fd-4bb4-8274-7264e23ca9ad","year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2410.06403","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:2b228a589214e96070fe59476307b34ee12d6c2c1d895066b2a139e9267140b6","observation_id":"d7dccab6-672b-4fbe-9f32-516b381a2a7d","resolution":{"observed_at":"2026-07-01T20:26:13.398182Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:0cdc1b749846bc75e61b07a62d7d469154d9081216e2c1e0f4d0e958b14af297","observation_id":"4193e57b-a3d2-4335-9d41-d90414116937","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Craven and G","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:757f9ed28a7f41377386c8a6fe9d12dc4a15847ab58fbde4c626afceacde6db8","observation_id":"ad8619fc-7855-409d-b944-450ed348f972","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.04305","last_updated":"2026-04-20T23:02:59Z","snapshot_observed_at":"2026-07-31T05:59:58.191344Z","submitted_at":"2024-09-06T14:27:30Z","title":"Cumulants in rectangular finite free probability and beta-deformed singular values","version":3},"cited_work":{"arxiv_id":"2409.04305","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.04305","snapshot_observed_at":"2026-07-02T19:47:19.135021Z","title":"Cumulants in rectangular finite free probability and beta-deformed singular values","venue":"math.CO","work_id":"3915838b-7aa0-4744-9819-0310001ede19","year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2409.04305","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e566a26e8f871f0472b0ba33e239da3319161fc09a47967c4c2aed97faea504c","observation_id":"651de9d5-7ccd-4f35-9316-a4d7e3263fd7","resolution":{"observed_at":"2026-07-01T20:26:13.378816Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:8299f40c99e1842917fbcc1fdc1d29a881628e39b053fe2ffa3a170359756c27","observation_id":"b3942cb3-d312-4740-83cc-62d4e4c111e8","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:68ad7f6131f19fa653c7806ffa9fd14593a7014fde6985a2e2f2e86000a084a2","observation_id":"ab3f35ca-2c93-4a03-bb63-b1eb086aa509","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.06263","last_updated":"2025-06-09T21:06:48Z","snapshot_observed_at":"2026-08-11T15:51:16.383716Z","submitted_at":"2025-06-06T17:45:46Z","title":"Dynamics of rotationally invariant polynomial root sets under iterated differentiations","version":2},"cited_work":{"arxiv_id":"2506.06263","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.06263","snapshot_observed_at":"2026-07-01T20:26:13.367373Z","title":"Galligo, J","venue":null,"work_id":"f27c54fd-cd73-4fc8-8cdd-22ffe956bd38","year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2506.06263","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:22f67d1e309e96f207eb8f13ce3ee000e7fdfe7720894dce24fa50d683ebe8c4","observation_id":"7b02f34f-1039-4df2-9825-34559f7f6671","resolution":{"observed_at":"2026-07-01T20:26:13.369103Z","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":"2026-06-28T21:04:04.480947Z","title":"Gorin and V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:153d235a7bf667cc506d2bafdeec385281baf1fba22bb775335465d87c434d6d","observation_id":"aa14a0e3-0485-408a-96b5-022a578cd978","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Gribinski","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:d5248988ec696c2e5e757b19f2d3b1b3a48f0686ec53d675d5ebd5a7b258d66e","observation_id":"1a7a529b-8d9e-4f55-8b5d-a8785f7ef0f6","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Hall, C.-W","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:249a26c19489d5944dd5164b58e86ccf4a9a1080356d0fcde6c60c8d26fa5214","observation_id":"b456d8bc-4577-4826-9246-3e56727bf448","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:8ed77f77bdf4a6ae1ab8637d915caedd7c5de47fb8c520e40393c6440013c5e8","observation_id":"67ae359c-f54a-4661-9eab-26f4236e2396","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:f4e709d86c909bf93778f601018bc8955f91b3d69a11d104dadae55ee311d005","observation_id":"f92ed992-40b7-482e-b214-fd8c043f5802","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:eb3278a1141a9323b407118319c5699adf1bd2a40ecccd355886a442ce97ffd1","observation_id":"2c90b8b0-c79f-44db-8770-2f2005657f29","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2512.17808","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T19:47:19.137858Z","title":"H¨ ofert, J","venue":null,"work_id":"3ed48817-d8d6-495b-9301-e933754203fd","year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:084f649e79687112ed4b10d399873b2ede0c7525fdb685b7220bef9ca8273af8","observation_id":"69ad6105-4e09-4bbf-8dde-43796c266e07","resolution":{"observed_at":"2026-07-01T20:26:13.372324Z","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":"2026-06-28T21:04:04.480947Z","title":"Hoskins and Z","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:33afae516f5af5daa015290ab644c4c73d4dcbbcd83f9797a5024ec54486264a","observation_id":"03d4c695-b6e7-43b3-85a7-6527058e3fb7","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:46ab9a64b6d6a48f186593de7d97bf55f32a9c8dba579232dfc0fad9838a1cb8","observation_id":"51537153-5269-4075-adf4-70d06cd1411b","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:0de6e0db5cd66b2dad7da4a4f3c0a06581006290ac50e266008b327f6b9636b3","observation_id":"7391598b-7fa3-4f9f-944d-f8015515cb9c","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.11593","last_updated":"2025-04-15T20:12:40Z","snapshot_observed_at":"2026-08-07T16:02:02.341603Z","submitted_at":"2025-04-15T20:12:40Z","title":"Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation","version":1},"cited_work":{"arxiv_id":"2504.11593","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.11593","snapshot_observed_at":"2026-07-04T01:59:26.629043Z","title":"Jalowy, Z","venue":null,"work_id":"6e450c9e-20d4-4410-a4ed-52b16772e9fb","year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2504.11593","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:df72ac876850372c14bd56042048c87900e655bde4a6c96ec824d4905ececdb7","observation_id":"6564fd7f-5c0b-41e7-a608-c4d910825a86","resolution":{"observed_at":"2026-07-01T20:26:13.394569Z","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":{"arxiv_id":"2509.11248","last_updated":"2025-09-14T12:47:11Z","snapshot_observed_at":"2026-08-09T02:22:56.965450Z","submitted_at":"2025-09-14T12:47:11Z","title":"Zeros and exponential profiles of polynomials II: Examples","version":1},"cited_work":{"arxiv_id":"2509.11248","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.11248","snapshot_observed_at":"2026-07-04T01:59:26.637154Z","title":"Jalowy, Z","venue":null,"work_id":"a1fc60a4-04df-4128-ac7e-91a8e7b1aa37","year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2509.11248","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:23b4431cb0e0338636405d20ca84e8b89b29541d59c223676ebde32cf8cf6609","observation_id":"39f41bca-2195-4780-b90c-bdcf7dd3385b","resolution":{"observed_at":"2026-07-01T20:26:13.374600Z","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":"2026-06-28T21:04:04.480947Z","title":"Jankowski and E","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:fdd309ee6a58e536552e87a5b39ad8a04806c43de1f3f11dac6069e9b07b2aec","observation_id":"ab90763f-376c-410d-8172-f510a4208735","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Kabluchko","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:808fb7d2715806b7c15046cea34ecba8b01a728ba55029316f57a716e8bd3a6f","observation_id":"50058e1e-caa4-49ac-a5cb-d88a2f87691d","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2511.01456","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T20:26:13.369973Z","title":"Kabluchko","venue":null,"work_id":"b438d569-9692-4d73-9371-179df6aa9f5d","year":2025},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:42b5a809eb2ba37f07bf8f32f7400fd94444b987db8cad3b16f25910f5929948","observation_id":"2bc5c868-2e02-4a0b-b3f6-99fafb807f74","resolution":{"observed_at":"2026-07-01T20:26:13.371613Z","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":"2026-06-28T21:04:04.480947Z","title":"Kim and Y.-O","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:c5412ba25a247d9c155e006d48dda111fbac3f4a50718e9be40aeaa82bdfa6f1","observation_id":"ee44aaa2-4ded-48f1-9db5-16e0938920d4","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Kiselev and C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:8ec36b2d0fc72de384683fbe14d13d74296b312b45c885e5eb121587d449d288","observation_id":"3f6a0bf6-89a1-4e9f-967a-6649bbb2d829","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Sur les fonctions du genre zero et du genre un.C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:d2d6aff0faac5dd9044eaca5cfde31b560387492aee35904c2493c8e2d253889","observation_id":"5069da15-031d-4e02-ba29-6527bdd405cd","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Laudenbach","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e7e43e75797ab2d440500d7c689c6484e5d87b66494e6e8267d5c8f0144468b5","observation_id":"e780433c-3b4b-4dab-86d7-17166e5631e3","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Maller and D","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:4371e8cefd49233e07a099476fc6c436e527cdc358597aeebdfec8fe1da72b35","observation_id":"42c857b0-b561-4be4-8c8a-2f91aedff898","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.07054","last_updated":"2021-08-16T12:46:54Z","snapshot_observed_at":"2026-08-10T09:36:29.605952Z","submitted_at":"2021-08-16T12:46:54Z","title":"Polynomial convolutions and (finite) free probability","version":1},"cited_work":{"arxiv_id":"2108.07054","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2108.07054","snapshot_observed_at":"2026-07-04T01:59:26.641073Z","title":"Marcus, Polynomial convolutions and (finite) free probability, arXiv:2108.07054 [math.CO]","venue":null,"work_id":"ff27c75d-04ed-4d64-9fc4-ebfa85dd9202","year":2021},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2108.07054","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:51fe36768caf11fb4d6ac9ec94134d4f93112ef9ff4d1b8e1512e35891d8eb56","observation_id":"b49db079-1ea7-424e-b4ed-ed57ee56b7f6","resolution":{"observed_at":"2026-07-01T20:26:13.391823Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:27ae34de273486b6f4a1f7a8cf76ef31b82b5f067774f7f9019312ead4ed9032","observation_id":"8ecf978f-dacd-4839-82b5-9638ff5d915c","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:1ad739c063992e300ab31b2d2b1aca18373a1b11fa22f194fcb5223f9b10a527","observation_id":"59a0c46f-dc07-47c6-b9a1-5ea8562e8df7","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:9e0332027f85c1fdc8cf464e10ef913beeb8850e9d1c51ba812b93af3dfd6784","observation_id":"cc7ebdd5-6dd0-405a-aa2b-3a5950361ad6","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Marden.Geometry of polynomials, volume No","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:86dc51dc86bc27392771c1078099840362918beb8408e74e00456102e4765da0","observation_id":"7172d08c-8ad1-4d84-bfde-ff588d004fa7","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2408.13851","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T20:26:13.379245Z","title":"Martinez-Finkelshtein and E","venue":null,"work_id":"d7b17eb2-59b3-4845-9840-37a40ccf1e43","year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:3af4578cef463ee4118211607e091a987710cf7f9d0c80b472a823c9bf49d980","observation_id":"d6a19dee-1bd2-4afa-ab08-6bf1f3a7d284","resolution":{"observed_at":"2026-07-01T20:26:13.380970Z","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":"2026-06-28T21:04:04.480947Z","title":"Michelen and X.-T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:0b25e421efb09ccfe46d211fc5cdd0fa7e88027b7e8db9f285fc41ddff4a1de4","observation_id":"fe194a07-0a56-4578-b447-abd4a0004129","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Michelen and X.-T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:d85ad94fe7a1e8c5a49e30cce87a0bfdea510676f8977f006d136a2c98e05a53","observation_id":"3e6c7528-1239-423f-87bf-71c4bc63d4c4","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:570139a23aac87fcebf359e8708d9b3f3fae3ef459619a8e0a8714fb5ead1ee5","observation_id":"aa9528eb-f8a6-4a7f-992c-d99db4c334ba","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:7cb673a32791b5b44049fb343cdb5c34264af4a193cf5d768ad3a17ebf3405c0","observation_id":"1e468e70-8484-4a07-8176-8f4c81adaff4","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Nica and R","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:3f5fa984590febccaedaab5f5dbbafd2f5092c6d323ad03ffcafaffb9d50e972","observation_id":"61952179-ee4f-4154-b9e8-3e5e080ae143","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"O’Sullivan","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:fc321c26f0d566add8932d3831a7aa065fbc6f2bcfb70cd703d08b712880790a","observation_id":"a0afa624-f373-45da-b2f2-f46d4b2828ac","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Pemantle and S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:cc10c1b95c1edf5a58915260fb0ec9f4a2f358c7d67257df39ab98d039462746","observation_id":"52962e8a-cdab-4f27-bd55-8b06f107223f","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1917},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:5c55142f646744065f9d07e3c1dc79bea2db96be70b8eb8bfa0f02cb17adc46e","observation_id":"adb2ce1f-d2a4-4495-adef-ed15e1ad7c8d","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"P´ olya.¨Uber Ann¨ aherung durch Polynome mit lauter reellen Wurzeln.Rend","venue":null,"work_id":null,"year":1913},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:8db3a965d2e67c2278556aee0814dc161b7998f7951094d58600e13f46bacc8e","observation_id":"af2aff4b-d4bb-4b22-8577-ede8ce9d7f59","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:5049d51eb943da28d6479f071eb77c7dc5154af0544dba51a3bbffc777f46ee8","observation_id":"463af2fe-c464-4d26-a7d9-a62ff0c54440","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Schur and G","venue":null,"work_id":null,"year":1914},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:34176cbe61a8bc36106ef3fdd3baea519216d2aec595e4bf3ec5c746b4c78ab1","observation_id":"88237a63-a55f-480c-ad6d-8a5568a71a3d","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.01882","last_updated":"2021-02-08T21:58:25Z","snapshot_observed_at":"2026-08-07T10:14:21.925661Z","submitted_at":"2020-09-03T18:48:32Z","title":"Fractional free convolution powers","version":3},"cited_work":{"arxiv_id":"2009.01882","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2009.01882","snapshot_observed_at":"2026-07-01T20:26:13.382307Z","title":"Shlyakhtenko and T","venue":null,"work_id":"5b7fe52e-f3a8-4b3d-9889-222bed0d15b7","year":2009},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"cited_paper":"/paper/2009.01882","citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:aa759a63ef8c575b1b14b481f3aa2aa8cd4ec7ffce191a57388bd65c234f9178","observation_id":"80a1fed5-f705-4a04-8665-a5ee13ae7c3f","resolution":{"observed_at":"2026-07-01T20:26:13.384011Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:0dce9464ea5afeba3379693b0e5d7966e6bb253c997e0d4367ae137abb742b7f","observation_id":"88edd9eb-b3b2-48a3-83e3-768643ae3f08","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Steinerberger","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:7ee0c073fb050834dbbf8a023e7e21557b381f6057c7055a3f00caf9a59e3289","observation_id":"cf42b917-dca8-4f2e-b670-514ad934a4dc","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Steinerberger","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:c143c49ca21aa229e230226a812cf9718c31fb8a4e7156a785adf066b9edbebd","observation_id":"1c616979-afab-4930-9d9f-72b22b2d12d4","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1922},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:48a66541cb07629e2dea3e3722560786f0ea9e71dec6605800805c45fd32f6b6","observation_id":"79781629-ee1b-4cd7-90c8-6c82ba8ba2e2","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:4378ae32eb6c15aaab2593767b4cc1167ad6c919d9185964d263260c13b243f8","observation_id":"e64247f8-5e47-40d9-97c5-2edfef63e808","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Valk´ o and B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e2457a3d2a4c11377130f209eeb79a707869fbcb27445421ca6c96bc9c3a7f36","observation_id":"1c4b886a-591c-404f-82c6-0ee8117f51e5","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Voiculescu","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:d4e78b20ba4570c6c59c3dd20e7ce8168fa5b7d3ba3e05850d1c1927ba377c16","observation_id":"1507857a-7df1-4123-84ef-55bf9376fc3e","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Voiculescu","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:05be67986551bb00122a3a61239b2065149ce1592b256c9069493d87111fe9b4","observation_id":"c1356559-e3f3-4505-86d8-911f4b1cfe17","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Voiculescu","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:9669a60b3030efa7ca7f3cdf1e8b14f892f0b069e8abf6ae3bdd3e313689f05f","observation_id":"3c6dc48b-c403-4355-b69c-db04da4e08a5","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:5156c2f9c41d1ab9fee8b477c0d21933535c0c7e3293657b4f7985ade76c924e","observation_id":"5caa7e58-9842-4ef8-ba61-6327fb45e7c8","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":"Voit and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:892dd037372a6990336fc501510e3a3476639dc8dfcf3aa11b7152e3d04a6912","observation_id":"a7ea5c42-aa3f-4870-8145-cd348a942c08","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","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":"2026-06-28T21:04:04.480947Z","title":null,"venue":null,"work_id":null,"year":1922},"citing_paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-06-28T21:04:04.480947Z"},"links":{"citing_paper":"/paper/2605.31356"},"observation_digest":"sha256:e020dbb681170064767eb905f241f5ba2b01cee76ad16e388c9a4b606e6b4af0","observation_id":"c8009528-2e0e-4b6d-95a6-f576bf023051","resolution":{"observed_at":"2026-06-28T21:04:04.480947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.31356","last_updated":"2026-05-29T14:30:41Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-10T00:07:59.293697Z","submitted_at":"2026-05-29T14:30:41Z","title":"P\\'olya--Schur problems and free probability"},"reference_resolution":{"displayed":90,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":77,"verified_exact":13,"verified_fuzzy":0},"total_outbound_references":90},"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 90 of 90 outbound references and 0 inbound Pith citation observations for arXiv:2605.31356."}