{"as_of":"2026-08-11T15:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1ede060a602a2249c9c1565b84316f9b51635dd1f33fd416e8790da19a8b256f","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:25:40.607687Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.21532/citation-record","integrity":"/paper/2607.21532/integrity","json":"/paper/2607.21532/citation-record.json","paper":"/paper/2607.21532"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:25:38.803725Z","title":"Balasubramanian, V","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:38.803725Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:6aec2e931401a555b9144f7e64160178c85a1c22673f2c965fcc87581340e149","observation_id":"5567437d-ce34-4ee6-a9be-513b47ddc800","resolution":{"observed_at":"2026-08-01T07:25:38.803725Z","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":"2026-08-01T07:25:38.941970Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:38.941970Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:19c36400586c28b310552b4d3db40fda1467107a053cb496b76ab9038fe31c9f","observation_id":"33562528-3ffb-4ce8-94bc-25f669d5fca3","resolution":{"observed_at":"2026-08-01T07:25:38.941970Z","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":"2026-08-01T07:25:39.092853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.092853Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:18eadc65699ff9a3eed9eff79fdf481d1fad653cc999d2adfdd89df095883f46","observation_id":"7cdec0af-b4bd-44e1-8843-aab4b78dc971","resolution":{"observed_at":"2026-08-01T07:25:39.092853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.11941","last_updated":"2026-04-13T18:30:17Z","snapshot_observed_at":"2026-08-08T23:50:06.400426Z","submitted_at":"2026-04-13T18:30:17Z","title":"Simultaneous non-vanishing of Dirichlet L-functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.11941","snapshot_observed_at":"2026-08-01T07:25:39.206102Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.206102Z"},"links":{"cited_paper":"/paper/2604.11941","citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:813ef0ee894c0c5cf8ea17ac73c5c6cfc4180209e369886d14355d14a0e8c460","observation_id":"1c5fbabb-cacc-4924-b2b5-f377944460a4","resolution":{"observed_at":"2026-08-01T07:25:39.206102Z","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":"2026-08-01T07:25:39.342683Z","title":"Chowla,The Riemann hypothesis and Hilbert’s tenth problem, Gordon and Breach Science Publishers, New York-London-Paris, 1965, xv+119 pp","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.342683Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:009488854b2b0b6b20dd9814e87c704393986f54fbfe2fc8b3d8e470d4b0d37e","observation_id":"41a1ac2d-acaa-46c7-9a2d-7f8d0b8eb248","resolution":{"observed_at":"2026-08-01T07:25:39.342683Z","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":"2026-08-01T07:25:39.506947Z","title":"Granville, K","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.506947Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:1e2332dc4b9c2ee52eebca532d86dd7060f2425499425c6f66e0b6c6a2e396a3","observation_id":"2484e2e4-53ef-46b4-a636-890e3977b320","resolution":{"observed_at":"2026-08-01T07:25:39.506947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.4618","last_updated":"2013-05-20T19:41:52Z","snapshot_observed_at":"2026-07-06T03:13:48.645449Z","submitted_at":"2013-05-20T19:41:52Z","title":"Sharp conditional bounds for moments of the Riemann zeta function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.4618","snapshot_observed_at":"2026-08-01T07:25:39.688525Z","title":"Harper,Sharp conditional bounds for moments of the Riemann zeta function, preprint, arXiv:1305.4618","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.688525Z"},"links":{"cited_paper":"/paper/1305.4618","citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:227d5c830eb416b80dfefe5c3b49a6b9d60cfd8f76ff29d90aaead3a1aa6dadf","observation_id":"47b384d2-dbc8-4a5d-9ca1-19c6abb39b6c","resolution":{"observed_at":"2026-08-01T07:25:39.688525Z","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":"2026-08-01T07:25:39.818197Z","title":"Hough,The distribution of the logarithm in an orthogonal and a symplectic family of L-functions, Forum Math.26(2014), 523-–546","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.818197Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:2179d433e6dae22a0dd27d47142e1e5403e6543515c608dc9d3c5c448bbd697d","observation_id":"803c5431-7527-4e00-87fa-9f7dba7b590d","resolution":{"observed_at":"2026-08-01T07:25:39.818197Z","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":"2026-08-01T07:25:39.859274Z","title":"Iwaniec, P","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.859274Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:5f66a7107b5ac618afee33be0ef2106ee95a16ad7fbb495e683379da7d0b780d","observation_id":"f9d98f18-db7a-4532-a7e4-3e0f50154fc6","resolution":{"observed_at":"2026-08-01T07:25:39.859274Z","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":"2026-08-01T07:25:39.938855Z","title":"Iwaniec, P","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:39.938855Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:8111426c718e45f77b1bc31f11515c0a3ad34187368cbfcd8dd0bc1d5862ca18","observation_id":"8c14573e-9c9e-40c9-8d47-e6d40c21e1ca","resolution":{"observed_at":"2026-08-01T07:25:39.938855Z","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":"2026-08-01T07:25:40.056960Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.056960Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:b9fc95450f6acb14149a26cd593622f8aff983e0e811ddcd15b85e84fc144851","observation_id":"30103bb4-8ac0-4700-94d7-6d09a17bc27a","resolution":{"observed_at":"2026-08-01T07:25:40.056960Z","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":"2026-08-01T07:25:40.114842Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.114842Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:0308e01a65c863f25a09c9079c16ac5c0a5d5c507c1b4d93bd545f59b37c41ca","observation_id":"b25cc54f-fa71-4bce-a6f4-3f248f899b48","resolution":{"observed_at":"2026-08-01T07:25:40.114842Z","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":"2026-08-01T07:25:40.170915Z","title":"Lester, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.170915Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:68b3a3e2a436be91faf50cc6f1bc7ff374d14009ebab6611f8206b731e076e80","observation_id":"276e8354-5f7a-4536-89c1-fd453fd5573e","resolution":{"observed_at":"2026-08-01T07:25:40.170915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.11916","last_updated":"2025-05-28T01:04:14Z","snapshot_observed_at":"2026-08-11T06:22:34.346644Z","submitted_at":"2025-04-16T09:54:28Z","title":"Non-vanishing of Dirichlet $L$-functions at the Central Point","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.11916","snapshot_observed_at":"2026-08-01T07:25:40.227383Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.227383Z"},"links":{"cited_paper":"/paper/2504.11916","citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:60547e326b141ba97161b0d4af3c7a8e135ae18c5ced5341e2172b469d0848b5","observation_id":"d3cb7b7d-b721-496f-b3e5-899436051255","resolution":{"observed_at":"2026-08-01T07:25:40.227383Z","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":"2026-08-01T07:25:40.292275Z","title":"Radziwi l l, K","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.292275Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:83ef0db1c71ee80e6c59805bfe1a025c69a8402f93153c7a8ecfca26b267df3c","observation_id":"dca974aa-a82d-40be-bc99-8ab294d58bb6","resolution":{"observed_at":"2026-08-01T07:25:40.292275Z","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":"2026-08-01T07:25:40.350221Z","title":"Radziwi l l, K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.350221Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:fa077f9ba65eb4c88ebbb7477939262241f16d06a8d3174bae92647bd73c1aae","observation_id":"b08307a9-0666-4bb7-9ec6-008aff3c7d11","resolution":{"observed_at":"2026-08-01T07:25:40.350221Z","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":"2026-08-01T07:25:40.416172Z","title":"Selberg,Contributions to the theory of the Riemann zeta-function, Arch","venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.416172Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:e7a45ad183bb9c94fee522f6b02cde24580e09aeed8b51dd2fe4b8db08981d62","observation_id":"806711bf-dfd8-4d1a-9b96-24d32682d742","resolution":{"observed_at":"2026-08-01T07:25:40.416172Z","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":"2026-08-01T07:25:40.474617Z","title":"Soundararajan,Moments of the Riemann zeta function, Ann","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.474617Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:6ad3da72b297ade136120f2c604c52b95908de4b40ac7e96b81c271636047dd5","observation_id":"835866c4-28d8-41c6-bcfc-6e60a94f751d","resolution":{"observed_at":"2026-08-01T07:25:40.474617Z","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":"2026-08-01T07:25:40.548234Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.548234Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:7b71ab3c06bd00a69af33e0a44401971a3e50cc7dc91de7e240ab74e0f953e78","observation_id":"83d31f64-c8e1-4c16-bbe8-dd31aa00c0fb","resolution":{"observed_at":"2026-08-01T07:25:40.548234Z","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":"2026-08-01T07:25:40.607687Z","title":"Zacharias,Simultaneous non-vanishing for Dirichlet L-functions, Ann","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:40.607687Z"},"links":{"citing_paper":"/paper/2607.21532"},"observation_digest":"sha256:28bdd116f782db846777f7ec93a16c10a5315834256324dbc4ccfca448e9581a","observation_id":"eb346567-2e97-40a3-8a37-aac5fb3e9b67","resolution":{"observed_at":"2026-08-01T07:25:40.607687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.21532","last_updated":"2026-07-23T17:19:14Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-11T06:22:11.844680Z","submitted_at":"2026-07-23T17:19:14Z","title":"Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":20},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.21532."}