{"as_of":"2026-08-13T00:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:110626cea29e2e820c90909b4bece36bec5aa926eb3551ffeb639edba6aa6630","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T23:49:23.606334Z","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":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T11:49:25.854380Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.06390","snapshot_observed_at":"2026-08-03T11:49:25.854380Z","title":"org/abs/2509.06390, 2025, arXiv","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.05189","last_updated":"2026-07-15T08:09:16Z","snapshot_observed_at":"2026-08-03T11:49:24.995234Z","submitted_at":"2026-01-08T18:11:07Z","title":"Distribution of values of higher derivatives of $L'(s,\\chi)/L(s,\\chi)$","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T11:49:25.854380Z"},"links":{"cited_paper":"/paper/2509.06390","citing_paper":"/paper/2601.05189"},"observation_digest":"sha256:cc74cfead9347352d9adebfaef669c89e66f147f245b02a695d8f60abd72c254","observation_id":"de3adffa-c5b2-40ad-af4e-012ba98a0745","resolution":{"observed_at":"2026-08-03T11:49:25.854380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.06390/citation-record","integrity":"/paper/2509.06390/integrity","json":"/paper/2509.06390/citation-record.json","paper":"/paper/2509.06390"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:28.241544Z","title":"Cassels and A","venue":null,"work_id":"3b0a8516-e4ad-46bf-89d9-ace3c761f28a","year":1976},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:20.784753Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:8d11faff01181af1cd7045fbc55ce375054bc413bec16f43f36d31e53fb34aa7","observation_id":"0fc60851-5cfb-4e35-ab9a-f92d58790699","resolution":{"observed_at":"2026-08-04T23:49:28.394741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/qmath/39.1.21","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"The Quarterly Journal of Mathematics","work_id":"90389aa1-0441-476d-8033-d18d1f157a32","year":1988},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:20.904743Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:cfb694d03b5544a2903b9c3b15b6d579c9b50d289e33359218033184c2e9b091","observation_id":"df51efaa-da31-4c79-9dfd-44dc785eeb3e","resolution":{"observed_at":"2026-08-04T23:49:23.839419Z","resolver_source":"doi","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:28.060474Z","title":"Davenport,Multiplicative Number Theory, Third edition, Springer Verlag, New York, 2000","venue":null,"work_id":"82780a66-9ff8-4329-99e7-e4f107866882","year":2000},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:20.965699Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:70a4befd5e6e03fd4f88660ca755aeab67d0f4c1b83d97359c8966ced2f8c330","observation_id":"b3bd4c01-85cd-42b5-98b3-3524fb746d50","resolution":{"observed_at":"2026-08-04T23:49:28.138569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.17946","last_updated":"2024-11-26T23:40:27Z","snapshot_observed_at":"2026-08-12T11:38:41.608152Z","submitted_at":"2024-11-26T23:40:27Z","title":"Higher Euler-Kronecker Constants of Number fields","version":1},"cited_work":{"arxiv_id":"2411.17946","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.17946","snapshot_observed_at":"2026-08-04T23:49:23.972820Z","title":"Higher Euler-Kronecker Constants of Number fields","venue":"math.NT","work_id":"20fac011-eaf4-4153-84fd-85448fcc7d77","year":2024},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.065798Z"},"links":{"cited_paper":"/paper/2411.17946","citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:cc7c5c756550fb6420115d39c788cdb048cc19297ffc73d8c45883560b9f66cb","observation_id":"56f89e28-3f08-433a-92fb-8082971ddb3e","resolution":{"observed_at":"2026-08-04T23:49:24.101239Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:27.844812Z","title":"Heath-Brown,Fractional moments of DirichletL-functions, Acta Arith., 145(4), 397–409, 2010","venue":null,"work_id":"72d9c87d-7e01-47f9-a47d-9f3d0aa9a5cf","year":2010},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.197382Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:ce85e0c02b2d944989357feca6df21aab0ea65754ac85139db0b73663889f36b","observation_id":"ef6f60f4-7a36-43f2-9978-18cacdc38a82","resolution":{"observed_at":"2026-08-04T23:49:27.969283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:27.627047Z","title":"With introduc- tory material by B","venue":null,"work_id":"d17125e6-6773-4db3-bcb9-920251bca8b6","year":1983},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.265943Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:b9b2755e54293bdcfd325dd041d84b349e3f364f8f34b1ca421ba94363a93bc7","observation_id":"7d1f00c1-3587-4e08-9e12-8e6c3b5d5151","resolution":{"observed_at":"2026-08-04T23:49:27.744854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:27.344748Z","title":null,"venue":null,"work_id":"0873fee9-ce56-47da-8571-a1cec0f62e7c","year":1977},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.346474Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:504ab34bee2aa73e31e4c3e04f135993193ec18450262f5d4bf702c693cde561","observation_id":"74e7cb5f-1d58-4ede-9fa6-7cede0f3ab65","resolution":{"observed_at":"2026-08-04T23:49:27.469398Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:27.083730Z","title":"M-functions","venue":null,"work_id":"093123dc-a5c4-4747-a6f1-d446b748e861","year":2008},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.437535Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:d8acb389c66c4b0642cee0c961a3208110ecabda3bce05db8cb758dc9fb9e23b","observation_id":"686020e6-a940-4f2a-b4f0-91ee56cdc8fc","resolution":{"observed_at":"2026-08-04T23:49:27.226700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:26.785142Z","title":null,"venue":null,"work_id":"33f83ddc-2c75-4e76-85c3-b8642927d7cf","year":2006},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.553327Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:398e6c0c0ace72d81fabe004892e9103cfb73374b1b31622cd49af92b870e9d2","observation_id":"3940ed58-5c85-4baa-8268-9723d35a1cd6","resolution":{"observed_at":"2026-08-04T23:49:26.912212Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:26.433814Z","title":"Lagarias, J.C","venue":null,"work_id":"e101707b-173f-49c8-afa5-3d7a178fddda","year":1979},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.684730Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:17bd245325759ef9566d86c242a14e8a57a33c684b75a6375f58869ff1140def","observation_id":"137b27bb-882f-451d-aaa8-6b86b29d729e","resolution":{"observed_at":"2026-08-04T23:49:26.660928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:26.149557Z","title":"Milinovich,Moments of the Riemann zeta-function at its relative extrema on the critical line, Bull","venue":null,"work_id":"462da974-b8c1-46b3-9447-d36dacb8c7df","year":2011},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.823299Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:aefc82653cacb6a83a9e6d47bb3e2afa8d4735068c361784ef0b5003a19a334d","observation_id":"dfcf7bbb-be0f-41e9-8498-964c863d4f6d","resolution":{"observed_at":"2026-08-04T23:49:26.287833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:25.864282Z","title":"Montgomery,Zeros ofL-functions., Inventiones mathematicae8(1969), 346–354","venue":null,"work_id":"4f3f25fa-c93a-477a-b527-5e536470c563","year":1969},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:21.904745Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:94a868d088346087e8182764a62cf1ddf28845ae0eb1bf9998a5ce4d1ce4ec76","observation_id":"d7434d17-acb1-4184-8ae1-accd4366fad9","resolution":{"observed_at":"2026-08-04T23:49:25.967570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:25.661337Z","title":"227, Springer Verlag, 1971","venue":null,"work_id":"2d1531bc-d98a-4cd8-88c9-276cdb44f259","year":1971},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:22.024743Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:19f1b9e981a63ac03ed78154f9958133e5faf30a287ccde7699b0dac1911579b","observation_id":"e8205ed3-59e2-4400-b7c5-31d0ed2f63e9","resolution":{"observed_at":"2026-08-04T23:49:25.735616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:25.462071Z","title":null,"venue":null,"work_id":"b86adb3e-f07e-4efc-b59c-9cfee11f93af","year":1931},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:22.157020Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:143fd5da02cff6e1f29a6763e1c4902026f909218b1e2d48cd381dae23ca6a48","observation_id":"aa08460d-e007-4587-b72f-79114c8b744f","resolution":{"observed_at":"2026-08-04T23:49:25.550350Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:25.197631Z","title":null,"venue":null,"work_id":"c7901d98-5d01-45a6-9e4c-8233dbfac7f2","year":2014},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:22.985177Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:1e7e06938942b8c8ce1cea866fd15a3102d057c8f40bcf3425867eeb67464333","observation_id":"c9e8e3e0-e998-48e2-bef2-50b62c52640e","resolution":{"observed_at":"2026-08-04T23:49:25.329800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:24.907220Z","title":"Soundararajan,Moments of the Riemann zeta function, Ann","venue":null,"work_id":"97b58cd8-591e-44a8-8d15-4e7e53286b5e","year":2009},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:23.235873Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:20027178faa352545ca9967a784bc747c6ddbe9bff1507fdfc024045637b7baf","observation_id":"9c52190a-1c4b-44bb-bbc0-cad3ab392ec2","resolution":{"observed_at":"2026-08-04T23:49:25.009325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:24.677629Z","title":null,"venue":null,"work_id":"b4f6e2bb-d53d-4e86-8376-9759bca74840","year":1974},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:23.376413Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:f8dc394d47ddb8e9639e216a054792d197eeeb80e860f5609462323a118ce549","observation_id":"eb4b3c21-c856-449c-a911-38e84d2ab378","resolution":{"observed_at":"2026-08-04T23:49:24.804965Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:24.446447Z","title":"Kumar Murty,On the logarithmic derivatives of Dirichlet L-functions at s=1, Acta Arithmetica137(2009), no","venue":null,"work_id":"fbd77c28-ce49-4355-924a-424429984551","year":2009},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:23.481169Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:d05ffd0c72913e04ac7d4c33f469e2c980b38b8be12e4f325b4aef49099cc2cb","observation_id":"020fc59f-374a-47ba-bb5a-761651201983","resolution":{"observed_at":"2026-08-04T23:49:24.591357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T23:49:24.221813Z","title":"Zhang,On the fourth power mean of Dirichlet L-functions, Chinese Science Bulletin, Vol 35, page 1940-1945, 1990","venue":null,"work_id":"9943a2fc-0811-44ec-8395-e13801890e1e","year":1940},"citing_paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T23:49:23.606334Z"},"links":{"citing_paper":"/paper/2509.06390"},"observation_digest":"sha256:fbdd4e9be983f43bed747d7602c13ba03624e956408804367f591466a9f52850","observation_id":"311beb95-d1bc-4ab7-a7f0-a9e8a9d1ab84","resolution":{"observed_at":"2026-08-04T23:49:24.323179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.06390","last_updated":"2026-07-13T08:58:23Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-04T23:49:19.947613Z","submitted_at":"2025-09-08T07:21:02Z","title":"Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":2,"verified_fuzzy":12},"total_outbound_references":19},"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 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2509.06390."}