{"as_of":"2026-08-23T20:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:226fd7ce339514c6707ecd8f049e51b60c3b5babdf38017a6a25e9e3daad6073","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:34:33.082487Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2505.07352/citation-record","integrity":"/paper/2505.07352/integrity","json":"/paper/2505.07352/citation-record.json","paper":"/paper/2505.07352"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T22:34:33.406453Z","title":"Arguin, D","venue":null,"work_id":"9600fe3b-feac-48ad-8bc0-15628f990dad","year":2019},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:32.995097Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:2696ed84d024210c1421b47c9542638aca3fe62d0682060005f54764337c06ca","observation_id":"85ba6a66-239f-4a00-bce5-bc4e51e2788e","resolution":{"observed_at":"2026-08-15T22:34:33.411181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.00988","last_updated":"2020-10-09T21:29:33Z","snapshot_observed_at":"2026-08-15T18:55:07.724057Z","submitted_at":"2020-07-02T09:56:43Z","title":"The Fyodorov-Hiary-Keating Conjecture. I","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.00988","snapshot_observed_at":"2026-08-15T22:34:33.002141Z","title":"Arguin, P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.002141Z"},"links":{"cited_paper":"/paper/2007.00988","citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:db33e974f1fa112607c75addcff18dc5b1be4c1ffa1ce9094445a9858c8650d9","observation_id":"8fd3e1ea-2ce1-4215-9180-8981dcf3f1ff","resolution":{"observed_at":"2026-08-15T22:34:33.002141Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.00982","last_updated":"2023-07-03T12:57:33Z","snapshot_observed_at":"2026-08-16T15:19:10.355319Z","submitted_at":"2023-07-03T12:57:33Z","title":"The Fyodorov-Hiary-Keating Conjecture. II","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.00982","snapshot_observed_at":"2026-08-15T22:34:33.008147Z","title":"II, arXiv preprint arXiv:2307.00982 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.008147Z"},"links":{"cited_paper":"/paper/2307.00982","citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:45ce2f72fb2fd2d303fe08abd1b60bdf2c3f15c702901f01a0dffd6303e9c195","observation_id":"14b93baa-8fbc-4c4e-8c37-e85c3e7885d2","resolution":{"observed_at":"2026-08-15T22:34:33.008147Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T22:34:33.389569Z","title":"Bourgade, Mesoscopic fluctuations of the zeta zeros , Probab","venue":null,"work_id":"ac58607c-86b5-4551-8002-1008e113c238","year":2010},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.013608Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:bd53d16f651240aa6126277b2678b57e831103b92df674172f890267af0c15f5","observation_id":"2a68f7fa-8ddb-4af0-9a7d-b9787668c4d2","resolution":{"observed_at":"2026-08-15T22:34:33.394666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.373585Z","title":"Bourgade and J","venue":null,"work_id":"03b98d0c-5759-46e7-8e1f-e905390233cd","year":2013},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.019515Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:26ce47a8fda5452f3a241a61f50b8f042d0c3388173c1084db258a69aded4c88","observation_id":"957345aa-ef09-418e-93b5-7a61638ba5b9","resolution":{"observed_at":"2026-08-15T22:34:33.377984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.358750Z","title":"Fyodorov, G","venue":null,"work_id":"c6229aa4-74ed-4c7b-bfbe-d3f36f36ff59","year":2012},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.024737Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:12fe4b4875812467f37cf0f3d46635e6550491278ed0c67382f609ecb51f3f42","observation_id":"1dfe72ba-399b-4aab-b139-c4e6edc1d0ce","resolution":{"observed_at":"2026-08-15T22:34:33.362780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.344018Z","title":"Fyodorov and J","venue":null,"work_id":"b1edb058-01a4-4cc7-908e-5ce147e57ccd","year":2014},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.030587Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:7ea16796e5969f799ee3dad2f0d06423b2d2fb720cb27433b162b2aeb72bbe80","observation_id":"8f48c53d-cc92-4bc2-b891-4e9c941d2e92","resolution":{"observed_at":"2026-08-15T22:34:33.348680Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.328393Z","title":"Harper, The Riemann zeta function in short intervals [after Najnudel, and Arguin, Belius, Bourgade, Radziwi l land Soundararajan], Ast´ erisque422, S´ eminaire Bourbaki","venue":null,"work_id":"abb62590-01a9-4bd5-9c39-611a8ab6a2d6","year":2020},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.035343Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:b98a97f0d62b3a67f99188ee88058ede51e9252bc63c49cdd0372aba633f6107","observation_id":"349b0828-b645-4459-a86f-a51eec09f6fc","resolution":{"observed_at":"2026-08-15T22:34:33.333267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.05783","last_updated":"2019-06-13T16:17:07Z","snapshot_observed_at":"2026-08-14T16:16:02.264813Z","submitted_at":"2019-06-13T16:17:07Z","title":"On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.05783","snapshot_observed_at":"2026-08-15T22:34:33.040005Z","title":"Harper, On the partition function of the Riemann zeta function, and the Fyodorov-Hiary-Keating conjecture , arXiv preprint arXiv:1906.05783 (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.040005Z"},"links":{"cited_paper":"/paper/1906.05783","citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:98ca2be63ca7a5e8601fc6f63ba307485bb3309c96ecbbffbae163cd7af296ab","observation_id":"c7a6ff91-616c-445f-9d61-e8c55037991b","resolution":{"observed_at":"2026-08-15T22:34:33.040005Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T22:34:33.312492Z","title":"Khintchine, Uber einen Satz der Wahrscheinlichkeitsrechnung , Fundamenta Mathematicae 6 (1924), 9–20","venue":null,"work_id":"23977e96-e080-43b7-b48e-183c7c5e5dde","year":1924},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.045304Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:3165c1df2908e0a92f604d8ed4ddc32b5698676f5fe395189ce1339f4d3b0d6a","observation_id":"445ca7ab-068a-4155-8980-ca184bee9bc2","resolution":{"observed_at":"2026-08-15T22:34:33.317345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.296905Z","title":null,"venue":null,"work_id":"762192f2-bb15-4813-b399-2269e3ce58eb","year":1972},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.050384Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:60e4a9651abf1ac75323704abc769fdc8e638b93ed83c59de3e4bef1b97af30f","observation_id":"146de6a0-df75-4626-86a6-81ca5fb23735","resolution":{"observed_at":"2026-08-15T22:34:33.301786Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.280975Z","title":null,"venue":null,"work_id":"b307e6f9-b4a4-4707-8d27-82176a807244","year":1974},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.055034Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:3938ba8450fed99f8661a81309281c37a064ec9c863cdbc3baca597fb7908f48","observation_id":"28af17ae-1d10-4dc7-9a40-82f66ea7dcff","resolution":{"observed_at":"2026-08-15T22:34:33.285903Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.262005Z","title":"Najnudel, On the extreme values of the Riemann zeta function on random intervals of the critical line , Probab","venue":null,"work_id":"f2434cf5-1a84-4422-974c-e1f7246a4480","year":2018},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.059933Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:859d207770238cf60303bd701d5a8ad331bab919e3408210c1bfd53b20fe08c3","observation_id":"b6c0bae2-09b8-488f-b0d4-3bc33f119605","resolution":{"observed_at":"2026-08-15T22:34:33.268179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.239121Z","title":"and Yor Revuz M., Continuous Martingales and Brownian Motion , Grundlehren der mathematischen Wissenschaften, Springer Berlin Heidelberg, 2004","venue":null,"work_id":"d27637b2-d8d8-460a-8979-34728ee4dd84","year":2004},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.064511Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:55a3699ab8e0a401184bfa93e2cfed4027e1a6d9fd453d485abd570230131050","observation_id":"022b8dc8-bae0-430f-8b0b-70ff9566b56c","resolution":{"observed_at":"2026-08-15T22:34:33.247295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.222866Z","title":"Prokhorov, Convergence of random processes and limit theorems in probability theory , Teor","venue":null,"work_id":"62727394-a181-483a-97eb-4dd91da51ad7","year":1956},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.068822Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:14e594fc91d32c11af76c8bb2a180b171af83242b04f80221cd87bc753651586","observation_id":"6387ea5f-baa2-48d1-a976-03e28bb69dbc","resolution":{"observed_at":"2026-08-15T22:34:33.227759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.205073Z","title":"Radziwi l l and K","venue":null,"work_id":"7597d564-ed90-458f-ae0f-ff3d6ae82db4","year":2017},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.073139Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:779b37705d3334d31bfd30838d733c30e3c9288a861413f07dc9876da776595a","observation_id":"c1cfd295-9a33-49fa-9e1d-5b5aa2951a33","resolution":{"observed_at":"2026-08-15T22:34:33.210564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.186261Z","title":"Selberg, Contributions to the theory of the Riemann zeta-function , Arch","venue":null,"work_id":"a048acdb-e34d-4729-8f7a-d65aa3571aec","year":1946},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.077234Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:bd6df7a69a4f524eef890534ebb648cb00620d1ba507b3129a3a31d26684a5a2","observation_id":"a91964aa-4685-4bd8-a891-9ae70f6bd193","resolution":{"observed_at":"2026-08-15T22:34:33.192573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-15T22:34:33.168565Z","title":"Soundararajan, The distribution of values of zeta and L-functions, ICM—International Congress of Mathematicians","venue":null,"work_id":"07b5213e-4aee-4bca-a99a-33b3f9825767","year":2023},"citing_paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T22:34:33.082487Z"},"links":{"citing_paper":"/paper/2505.07352"},"observation_digest":"sha256:97cff6da9504f33918c28e121b54ecdf9a9b5021c906ef0d02d93d70ec7ed1fb","observation_id":"20462e6b-438f-4596-b6d1-0f8b991df077","resolution":{"observed_at":"2026-08-15T22:34:33.174665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.07352","last_updated":"2026-06-01T14:04:59Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-19T17:20:58.829411Z","submitted_at":"2025-05-12T08:44:45Z","title":"Brownian behaviour of the Riemann zeta function around the critical line"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":18},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2505.07352."}