{"as_of":"2026-08-18T06:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9307d1dc32bde6c6312268a9180da6defe3d622528cc25ee0f29a2c71eec1c5a","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:04:30.622999Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":1,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":"2304.05714","doi":"10.48550/arxiv.2304.05714","metadata_source":"arxiv_reference","pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Norm of Matrix-Valued Polynomials in Random Unitaries and Permutations","venue":"arXiv (Cornell University)","work_id":"be8694d0-0f44-4eca-8573-3b91aad07016","year":2024},"citing_paper":{"arxiv_id":"2408.06171","last_updated":"2026-05-11T18:01:50Z","snapshot_observed_at":"2026-08-16T11:47:00.319681Z","submitted_at":"2024-08-12T14:17:07Z","title":"Rigid Graph Products","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-23T22:06:37.949356Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2408.06171"},"observation_digest":"sha256:fffd97e254132f761067c67111906c4687c8d7e587f59e924f0f00852c0a32af","observation_id":"77981a79-d477-48b0-9afe-940224545044","resolution":{"observed_at":"2026-05-23T22:08:30.217027Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-12T05:29:45.807253Z","title":"Bordenave and B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.00593","last_updated":"2026-06-06T17:55:42Z","snapshot_observed_at":"2026-08-18T02:34:51.293075Z","submitted_at":"2024-11-30T21:42:41Z","title":"A new approach to strong convergence II. The classical ensembles","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T05:29:45.807253Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2412.00593"},"observation_digest":"sha256:02a6d5027f04c2f7f4f2523fb009f50ad95fede304c006ef8b6a333863b4ec84","observation_id":"f24d5e22-2d13-433a-87d7-e7677816b9dc","resolution":{"observed_at":"2026-08-12T05:29:45.807253Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-15T22:04:30.622999Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.08479","last_updated":"2025-05-13T12:05:04Z","snapshot_observed_at":"2026-08-18T02:35:47.625016Z","submitted_at":"2025-05-13T12:05:04Z","title":"Spectral gap with polynomial rate for random covering surfaces","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T22:04:30.622999Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2505.08479"},"observation_digest":"sha256:713ccba8fbde0a0a737fd19536ab693884682b591b3fc18bddbd6c0d250f5e32","observation_id":"ae321214-a8c3-4e5b-bd5a-60e0d1c7fc63","resolution":{"observed_at":"2026-08-15T22:04:30.622999Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":"2304.05714","doi":"10.48550/arxiv.2304.05714","metadata_source":"arxiv_reference","pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Norm of Matrix-Valued Polynomials in Random Unitaries and Permutations","venue":"arXiv (Cornell University)","work_id":"be8694d0-0f44-4eca-8573-3b91aad07016","year":2024},"citing_paper":{"arxiv_id":"2604.03213","last_updated":"2026-04-03T17:42:31Z","snapshot_observed_at":"2026-08-16T11:47:49.351403Z","submitted_at":"2026-04-03T17:42:31Z","title":"Asymptotic expansion for transport maps between laws of multimatrix models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-13T18:40:58.663728Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2604.03213"},"observation_digest":"sha256:06613581f61e650cf4e075b77e5c47ea9009a71b3777a00993939018b0d0c712","observation_id":"54d19206-afc7-4551-8b1a-83314d873f61","resolution":{"observed_at":"2026-05-13T18:43:07.491861Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":"2304.05714","doi":"10.48550/arxiv.2304.05714","metadata_source":"arxiv_reference","pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Norm of Matrix-Valued Polynomials in Random Unitaries and Permutations","venue":"arXiv (Cornell University)","work_id":"be8694d0-0f44-4eca-8573-3b91aad07016","year":2024},"citing_paper":{"arxiv_id":"2606.08784","last_updated":"2026-06-07T19:01:03Z","snapshot_observed_at":"2026-08-13T16:45:31.615947Z","submitted_at":"2026-06-07T19:01:03Z","title":"Randomized simulation of quantum channels using small ancilla","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-27T18:14:52.502778Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2606.08784"},"observation_digest":"sha256:d5c46a364ba4c2a7815c2eab80591aed642477e2df17efece5635da5c6cb4759","observation_id":"4de7fab9-0daa-431b-aef9-a8fd6c7940cc","resolution":{"observed_at":"2026-06-27T18:21:08.033754Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":"2304.05714","doi":"10.48550/arxiv.2304.05714","metadata_source":"arxiv_reference","pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Norm of Matrix-Valued Polynomials in Random Unitaries and Permutations","venue":"arXiv (Cornell University)","work_id":"be8694d0-0f44-4eca-8573-3b91aad07016","year":2024},"citing_paper":{"arxiv_id":"2606.10105","last_updated":"2026-06-08T19:31:42Z","snapshot_observed_at":"2026-08-16T11:47:51.848065Z","submitted_at":"2026-06-08T19:31:42Z","title":"Amenable absorption in von Neumann algebras of hyperbolic groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T13:49:27.561546Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2606.10105"},"observation_digest":"sha256:4f275f66d217341a7c14ed04a910ee4f25548035190d8502b4ceed5865035d2a","observation_id":"a8753e78-df8f-458e-a166-15b7660bd6c1","resolution":{"observed_at":"2026-07-03T04:37:36.677254Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-02T00:25:23.977295Z","title":"Bordenave and B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15100","last_updated":"2026-07-16T15:11:00Z","snapshot_observed_at":"2026-08-18T02:17:15.037736Z","submitted_at":"2026-07-16T15:11:00Z","title":"Strongly convergent matrix models for $q$-Gaussian algebras","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-02T00:25:23.977295Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2607.15100"},"observation_digest":"sha256:f439e4787f2f28a2de036320d94308fbe9a1c6403cd40ea9d13ef1b2a3bb7270","observation_id":"f152cb46-ec67-40f8-8032-1896229bceb6","resolution":{"observed_at":"2026-08-02T00:25:23.977295Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05714","snapshot_observed_at":"2026-08-15T15:36:03.378015Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.26551","last_updated":"2026-07-29T07:23:26Z","snapshot_observed_at":"2026-08-17T07:30:40.112649Z","submitted_at":"2026-07-29T07:23:26Z","title":"An RDT based confirmation of Lehner's formula for Kronecker-Gaussian matrices","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-15T15:36:03.378015Z"},"links":{"cited_paper":"/paper/2304.05714","citing_paper":"/paper/2607.26551"},"observation_digest":"sha256:521dc0e3698158b4804cb532ad87ea5b5ac80e1ed465a5346320952ef98121e8","observation_id":"6cbe09f0-208c-4b9d-b84f-e25ea15f7017","resolution":{"observed_at":"2026-08-15T15:36:03.378015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2304.05714/citation-record","integrity":"/paper/2304.05714/integrity","json":"/paper/2304.05714/citation-record.json","paper":"/paper/2304.05714"},"outbound":[],"paper":{"arxiv_id":"2304.05714","last_updated":"2024-01-10T18:09:31Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T10:54:36.384384Z","submitted_at":"2023-04-12T09:11:14Z","title":"Norm of matrix-valued polynomials in random unitaries and permutations"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2304.05714."}