{"as_of":"2026-08-20T08:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4a45f7d8e0f65fab52d0c573fd69fedb62869d062a28a0104ae442bb23914dfb","coverage":[{"denominator":47,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":47,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T17:56:34.747993Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:26:56.201619Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T01:26:23.843270Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.20653","snapshot_observed_at":"2026-08-03T14:00:24.938943Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.22451","last_updated":"2026-07-06T06:34:44Z","snapshot_observed_at":"2026-08-15T06:23:06.239089Z","submitted_at":"2025-12-27T03:40:38Z","title":"Zeros of Polynomials in Derivatives of Automorphic $L$-functions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T14:00:24.938943Z"},"links":{"cited_paper":"/paper/2507.20653","citing_paper":"/paper/2512.22451"},"observation_digest":"sha256:abb4fc4d31c2c0a8c5131e98fcf772601df5fecd0686aa4e19a4af6419eeb4e9","observation_id":"e872996a-3636-4367-af1a-47be2d4f1123","resolution":{"observed_at":"2026-08-03T14:00:24.938943Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"cited_work":{"arxiv_id":"2507.20653","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.20653","snapshot_observed_at":"2026-07-02T01:26:23.843270Z","title":"arXiv:2507.20653 [math.NT] 18, 20","venue":null,"work_id":"69a21417-4444-410e-a3aa-65f7bdfd3c66","year":2017},"citing_paper":{"arxiv_id":"2605.22059","last_updated":"2026-05-21T06:47:53Z","snapshot_observed_at":"2026-08-19T03:41:23.551927Z","submitted_at":"2026-05-21T06:47:53Z","title":"Closed geodesics in short intervals for random hyperbolic surfaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-22T02:51:34.064298Z"},"links":{"cited_paper":"/paper/2507.20653","citing_paper":"/paper/2605.22059"},"observation_digest":"sha256:2bff1ca5f2bdd60091f4a8811d47303b982409182b2bd20170e3655a14d0ea50","observation_id":"d392010c-4ff5-41be-a42b-be885d2e73a4","resolution":{"observed_at":"2026-05-22T02:54:32.566763Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"cited_work":{"arxiv_id":"2507.20653","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.20653","snapshot_observed_at":"2026-07-02T01:26:23.843270Z","title":"arXiv:2507.20653 [math.NT] 18, 20","venue":null,"work_id":"69a21417-4444-410e-a3aa-65f7bdfd3c66","year":2017},"citing_paper":{"arxiv_id":"2607.00282","last_updated":"2026-07-01T00:13:25Z","snapshot_observed_at":"2026-08-18T02:27:39.254192Z","submitted_at":"2026-07-01T00:13:25Z","title":"Critical Zeros and Unconditional Mean Value Theorems for twisted $\\hbox{PGL}(2)$ and $\\hbox{PGL}(3)$ $\\mathrm{L}$-functions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-02T01:25:35.781004Z"},"links":{"cited_paper":"/paper/2507.20653","citing_paper":"/paper/2607.00282"},"observation_digest":"sha256:063663f608dac8e943dda47e9aa8a3539d14d1112d56c06dafd127033fe385c1","observation_id":"bfe656ae-b95c-472a-a4f2-1f628c7e5079","resolution":{"observed_at":"2026-07-02T01:26:23.845019Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.20653","snapshot_observed_at":"2026-08-16T00:26:56.201619Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.12257","last_updated":"2026-08-12T17:00:49Z","snapshot_observed_at":"2026-08-18T18:31:40.689084Z","submitted_at":"2026-08-12T17:00:49Z","title":"Power sums and Siegel-type zero-free regions for L-functions","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T00:26:56.201619Z"},"links":{"cited_paper":"/paper/2507.20653","citing_paper":"/paper/2608.12257"},"observation_digest":"sha256:7027fab5012d59f01d1d210cd065e7926625510d35d1f2cd9ec29368f48fc13c","observation_id":"82b90642-0f47-422f-855e-68dd44cef95c","resolution":{"observed_at":"2026-08-16T00:26:56.201619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.20653/citation-record","integrity":"/paper/2507.20653/integrity","json":"/paper/2507.20653/citation-record.json","paper":"/paper/2507.20653"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T17:56:35.414330Z","title":"Avdispahi´ c and L","venue":null,"work_id":"916b7dc2-6690-49dd-a1a2-6754b3d1492b","year":2010},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.551863Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:e9f620f71b5434454b9f7681ba7b8a466de4d51608f056f560366f5b137f4a1a","observation_id":"ed5dae0e-b25e-4025-a147-5a3b7e73f381","resolution":{"observed_at":"2026-08-15T17:56:35.418579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.400846Z","title":"Blomer and F","venue":null,"work_id":"065d0219-df84-4afd-bd41-15badb5cb52d","year":2013},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.558337Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:73273b3535b681a8352517ce3ba522c75888166bde2cd6ab69aff9a20addec1c","observation_id":"bde90d7b-f318-4d5e-95a7-00e5a043b0ec","resolution":{"observed_at":"2026-08-15T17:56:35.405304Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.387090Z","title":null,"venue":null,"work_id":"7bd4e10f-47e8-4544-b0e2-42dd0cbf5729","year":2006},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.562977Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:1e7a2753dd8dbd4e8e5e81f2db542e25479c4a2594e27be6aac5c5995a9fdac9","observation_id":"3e564101-2ccf-4c4d-b072-11953d40a869","resolution":{"observed_at":"2026-08-15T17:56:35.391497Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.374196Z","title":null,"venue":null,"work_id":"e3ff141b-ae8d-447b-bc1d-fa1cdac118cb","year":2006},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.567429Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:f726543433b645f897a3eb3e76e9a52a374176fdd89282f984e82a26cb1f1859","observation_id":"b231ef0f-ed2c-404c-9491-3f6d1077af54","resolution":{"observed_at":"2026-08-15T17:56:35.378298Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.361077Z","title":"Brumley, J","venue":null,"work_id":"186693b7-36e0-4ec8-8d5a-26cea4056996","year":2022},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.571896Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:927c30e42d1284dcf3c053a837b1dcf9374519bbe513c4cca5e14640c848ed61","observation_id":"e0a2d845-d00a-46f9-80b6-d03ad66c15d6","resolution":{"observed_at":"2026-08-15T17:56:35.365327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.347605Z","title":null,"venue":null,"work_id":"d6285877-ddb3-4615-921f-ec88e1373f23","year":1997},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.576128Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:e286afceae13cca489484901839c24840a12aa829ad5accd22153377824201c4","observation_id":"d5f8dba1-95c8-435b-b654-0861ae78c669","resolution":{"observed_at":"2026-08-15T17:56:35.351700Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.334461Z","title":null,"venue":null,"work_id":"a79c5981-2107-42f7-89a6-36fadad6bc96","year":2000},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.581006Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:c4fb7ae52d547c06426d31ccfd658e0e8864283c768030ce828339b01a617e9d","observation_id":"4ea439dc-607e-4005-aaf9-48688d7e9739","resolution":{"observed_at":"2026-08-15T17:56:35.338585Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.320401Z","title":null,"venue":null,"work_id":"9e83778f-d3f6-4df5-a007-0e35aa581d56","year":1974},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.585141Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:cb6662556efcc6cf0fbd4755b43dfa0e0a06f260623d3002ef86786d61109892","observation_id":"9307d6ad-a319-4c56-be64-d29126e47def","resolution":{"observed_at":"2026-08-15T17:56:35.325069Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.306494Z","title":"Duke and E","venue":null,"work_id":"87cc0352-7567-472c-9757-c510c470c6b5","year":2000},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.589478Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:acf5d42658f1d4f1ab15be551fe16f4ea22f859528badb8e06b7589c01286a8a","observation_id":"b9327fdb-f71e-4e17-83e6-00f5554a25a7","resolution":{"observed_at":"2026-08-15T17:56:35.310956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.292778Z","title":"Goldfeld and J","venue":null,"work_id":"0621b488-18b8-4f9b-9f84-8e89844bac17","year":1993},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.593625Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:172e97c7e5500e5fb27adda95914baf70b9b475cf89f8f566474d422352bedc6","observation_id":"f0148ad4-1da8-45b5-a1ee-74f3636278ab","resolution":{"observed_at":"2026-08-15T17:56:35.297079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.279192Z","title":"Harcos, J","venue":null,"work_id":"f1b87eb5-9b8a-4671-94f3-5eafbfd3f1a0","year":2025},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.597761Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:3e65074031d73a901433f7ffa699edb2691df3d5c4e28c148b0e8688d32e2ac7","observation_id":"6e05ec5c-45a1-45bd-8b7e-a4050c3bda29","resolution":{"observed_at":"2026-08-15T17:56:35.283529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.265704Z","title":"Heap and J","venue":null,"work_id":"3708fc43-0fc0-4d4c-87ba-595886f0ab21","year":2024},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.601933Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:794cc9238fa8519d5e5ff8ac71f54e2e55530634bbff50f5ce89b01bee87476c","observation_id":"71310035-ae3d-4688-8990-3faa99a3d6cb","resolution":{"observed_at":"2026-08-15T17:56:35.269924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.252571Z","title":null,"venue":null,"work_id":"053f34fb-2659-4fb2-8c37-2c41cbe279e2","year":1984},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.606038Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:1d1d8d0325ba89ff18f1df70bcf464af978149692d68b8356b6aa8346099da2e","observation_id":"06d9f91b-2bbc-409d-8730-6305feeebcce","resolution":{"observed_at":"2026-08-15T17:56:35.256612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.238965Z","title":null,"venue":null,"work_id":"2d84c9b6-4f0c-45bb-bdb8-7cf4d39e7cf4","year":2012},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.610000Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:7ef7021c6aea1d7ac7e246dfec735ad46bac885877a811ae13eae38e2340fb07","observation_id":"35abc085-32a8-4084-93c8-f36c9f08ebb2","resolution":{"observed_at":"2026-08-15T17:56:35.243289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.224323Z","title":"Hoheisel","venue":null,"work_id":"1d75ef67-df47-407f-b25f-00ddd9572657","year":1930},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.614021Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:790a215d1ab858331b67079d0c888c513e474ddb2943ec4423184a705c9b607f","observation_id":"3d61d813-bd7e-4255-94cd-03d092ff958d","resolution":{"observed_at":"2026-08-15T17:56:35.229607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.211063Z","title":"Humphries and F","venue":null,"work_id":"9b39df29-cdbb-4593-a51c-a3f9180703f4","year":2019},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.618197Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:7fbcf88b68af1951110a70187f762362795e3e2d99b3c996d938f4a865a72081","observation_id":"31d61024-99e5-4ad2-9939-108fa6314c90","resolution":{"observed_at":"2026-08-15T17:56:35.215430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.197520Z","title":"Humphries and J","venue":null,"work_id":"671ac7d3-2aa6-4dd0-bf43-dcca7ca1c0c9","year":2022},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.622349Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:b8d5a5f3bc957d3599385cb70004c0f1ca69e08a1318c852f1c0df6427a3387e","observation_id":"c025d477-1733-4475-9b48-bcdb6c353b83","resolution":{"observed_at":"2026-08-15T17:56:35.201828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.184735Z","title":"Humphries and J","venue":null,"work_id":"92c51e55-78cf-4334-9cc9-165642c2b236","year":2024},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.626463Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:5ebfc787228548be7ebeeb2c903282952d96ee13dd86d445a86600976b1e456a","observation_id":"5439eac7-7581-432f-9130-c1b0560ac1ef","resolution":{"observed_at":"2026-08-15T17:56:35.188866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.171251Z","title":null,"venue":null,"work_id":"de742ad8-cdaf-44e4-9ad3-fc56c4222eee","year":1990},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.630610Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:57a80aed830d778323fe4fdd626bbc03329cd1689760db8d5105b7b8ab603697","observation_id":"fb3b6662-5055-45eb-9f52-0d36c4f4b130","resolution":{"observed_at":"2026-08-15T17:56:35.175448Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.157083Z","title":"Iwaniec and E","venue":null,"work_id":"ab3be3c0-4e18-477f-8b33-d6d3fc5fd24e","year":2004},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.634767Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:065fbafd58cd2f9dca33fca07c32e797685a935d047d55577eae08204f83c9d6","observation_id":"70130da4-9f63-451d-9f84-6c9e31ee8731","resolution":{"observed_at":"2026-08-15T17:56:35.161517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.143322Z","title":"Jiang, G","venue":null,"work_id":"8f2a2483-c47c-4c60-8d00-6699abea7c67","year":2021},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.639402Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:ac7fafb56aa1cbd91261dbe52f614463791448cc909466a705094f2d18a569a2","observation_id":"9d4b4f1d-a39f-4d96-a68b-d4df5354956e","resolution":{"observed_at":"2026-08-15T17:56:35.147701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.129086Z","title":"Kaneko, J","venue":null,"work_id":"d5e8056f-ae76-4075-bca9-fc6548b8bb5b","year":2025},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.643624Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:9cfb05006957f9480fc1c9cc0f0f73bc3fa36e851c2535651c95987a70d72b80","observation_id":"73c9ab2c-a9e0-4f01-abf0-2c8882ce96c9","resolution":{"observed_at":"2026-08-15T17:56:35.133485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.115054Z","title":null,"venue":null,"work_id":"c0863d88-54b0-4af6-9024-3ec5d1b72605","year":2006},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.647800Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:2ec2038134ec1f1d0337f694e7096edb0387138239763a0b57df2d97190a5362","observation_id":"24c63553-d8c7-4083-a492-96d9accde870","resolution":{"observed_at":"2026-08-15T17:56:35.119515Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.101035Z","title":"Kowalski and P","venue":null,"work_id":"078ea6a3-c7f1-4ab4-aa26-e7c88d919c8a","year":2002},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.651922Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:3518f5c1b9063247cac8fac5886129d9f1bad7b7e1d8d50f00f36a77659b17f1","observation_id":"eaae411e-c67c-43d8-8b17-b339de095857","resolution":{"observed_at":"2026-08-15T17:56:35.105568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.087192Z","title":"Kowalski and G","venue":null,"work_id":"fe85e3ff-43ea-4cf7-b905-5e42d1db8f93","year":2014},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.656101Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:80ea25c64a03a5ffe6c387713c7a7d2b6dcf3b78dfe5de4bc81197663973c608","observation_id":"8717552f-892c-4130-b334-a79bcdda96bb","resolution":{"observed_at":"2026-08-15T17:56:35.091575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.073517Z","title":null,"venue":null,"work_id":"22359de3-5bc6-45fc-8029-615b14403f98","year":1994},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.660237Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:95f9454b71326d9af8df5dd0d5c645543c4aa0c9e31772939d976c3dfceb8586","observation_id":"597a2f80-0b7a-4a06-83ba-b268d34127a8","resolution":{"observed_at":"2026-08-15T17:56:35.077744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.058824Z","title":null,"venue":null,"work_id":"b02a9fef-a0ef-4e1d-9f48-c9eb17044edd","year":2013},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.664392Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:0710e31df1fe725e0420be8c71087c0ab3d8ed99d4ff5d70c97531142d4ff670","observation_id":"3628161c-9f48-461a-8978-eeb938e9d3e8","resolution":{"observed_at":"2026-08-15T17:56:35.063626Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.044281Z","title":null,"venue":null,"work_id":"7a3b1a89-0ec6-4474-bbc6-485bee6c470c","year":2010},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.668489Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:276ce1632c844cb6f92e1c0e19a9136ab42f5cba8b8fcb2731e07ec93c970430","observation_id":"30d707e2-268c-4d6e-a4d1-c09fa8ee9664","resolution":{"observed_at":"2026-08-15T17:56:35.049099Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.029730Z","title":"Liu and Y","venue":null,"work_id":"6d46bc83-2a86-4235-9cf6-25114e519459","year":2005},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.672737Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:f6fe434b27447e34a408282e1c77805c5b926462ab96dd40eebf3910d53aedea","observation_id":"326dd3ce-7b05-45f6-9259-a0f88f58340d","resolution":{"observed_at":"2026-08-15T17:56:35.033964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.015890Z","title":"Liu and Y","venue":null,"work_id":"19bc75d6-6512-4779-8a2e-5adf20788524","year":2009},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.676951Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:cde920b18762dbdd39976dd6be455d48c59a6bf3f64fc0a168d85e37e325eb32","observation_id":"266381fa-8bc8-4b5c-9a59-4a088897cf03","resolution":{"observed_at":"2026-08-15T17:56:35.020131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:35.002053Z","title":null,"venue":null,"work_id":"efe53a0b-e375-4ac4-85d6-a835450420f0","year":2005},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.681254Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:4f68be4e9c38cf5baf0fd16141d6f02e84576484f3d21248669ce0cfd97991b3","observation_id":"78ec1bbf-b9cf-43b4-90ea-7a6a87ce30af","resolution":{"observed_at":"2026-08-15T17:56:35.006619Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.987660Z","title":"Liu and Y","venue":null,"work_id":"7b310aad-144c-4059-aec5-1aecb94062b7","year":2006},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.685151Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:2f44caf8476d4613661978866e3dc9f3431b06d3a2c6d2dd8f126806b15b6e22","observation_id":"8aefffd1-820e-41b4-9b2f-0517ed9f14d9","resolution":{"observed_at":"2026-08-15T17:56:34.992099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.973818Z","title":null,"venue":null,"work_id":"0eaa407b-a244-4f1a-859d-c9189d551e36","year":2007},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.689485Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:747c00ae8a2305fe8c09fe20339cd2893b9d374e2b6db808522ad29ae19d3e29","observation_id":"9b6b1c64-60d0-456c-8dea-7c83b2181078","resolution":{"observed_at":"2026-08-15T17:56:34.978202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T17:56:34.693626Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.693626Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:1cd7874c71c9ea418744788ba6b98575783a2dafac90026eac982774889d1d01","observation_id":"aa139ead-8e03-4d6f-ad65-31984258bfe7","resolution":{"observed_at":"2026-08-15T17:56:34.693626Z","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":"2026-08-15T17:56:34.950380Z","title":null,"venue":null,"work_id":"af90f2f6-693c-4c6c-a4c8-1a05c1fa3833","year":1996},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.697794Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:4ecfb9557813a31241c9bf6534822833c20073455c54ecf3cb38a31f0ee2c806","observation_id":"fa53b441-cb17-4174-bda0-e94d72650e14","resolution":{"observed_at":"2026-08-15T17:56:34.954594Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.937026Z","title":null,"venue":null,"work_id":"7c6bdd9b-44c6-4b42-b654-49aafbcfc1c7","year":2007},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.701936Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:6c0f0988326e5e712f8c0ead255dd5b102bc131feadbe9b5fbf70012fcbdd889","observation_id":"bde61fa4-371d-4cea-81a9-5280d13db6d2","resolution":{"observed_at":"2026-08-15T17:56:34.941348Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.923152Z","title":null,"venue":null,"work_id":"3da79186-3ce4-4246-a7ad-1bf31d17a2c1","year":2014},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.706244Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:d41481c013ec4e01b0ed47f1f9d30aa9dc86e05adb8299f71d39f684d4dcbccd","observation_id":"5e0c3ada-5e5e-429d-8279-6cb37942388e","resolution":{"observed_at":"2026-08-15T17:56:34.927652Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.909689Z","title":null,"venue":null,"work_id":"12a28ac4-700b-4ee2-bb79-85c86272e448","year":1985},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.710453Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:03910935d506d559e20945061e33d7f27f2eeac4021cf05e579cea64c83798f8","observation_id":"07297f83-adf5-48cf-b959-3f588053df54","resolution":{"observed_at":"2026-08-15T17:56:34.914096Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.896241Z","title":"M¨ uller and B","venue":null,"work_id":"7b9d0a36-4b4d-4291-b819-c99dc1efb05e","year":2004},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.714500Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:3732180da69c6dcea5b98c7349f73e0f72bb5d51e0340c24ad3f2b56b3737671","observation_id":"96496511-6c91-4fcb-9ccd-7e34c2e8c2bb","resolution":{"observed_at":"2026-08-15T17:56:34.900552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.882354Z","title":null,"venue":null,"work_id":"2ee6086c-b7ad-4399-bed7-aa650f967023","year":2009},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.718455Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:b5ae5571a9b35d0da9cdd2d9a66ab7bd93e4ddc830ccfffad5174407073ff763","observation_id":"2f79ed99-892a-4d5b-b6fc-276ac05f84a2","resolution":{"observed_at":"2026-08-15T17:56:34.886705Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.868655Z","title":"Neukirch","venue":null,"work_id":"8283ee39-63aa-4d4b-9b14-95d12ed2b200","year":1999},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.722609Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:4f94b88edd1aa2ace7ec130836a7a7d6ebe3dbc81c574f216851aa080cff8554","observation_id":"71ebc855-80b2-4c4f-9c6f-2649a155d855","resolution":{"observed_at":"2026-08-15T17:56:34.873019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.853759Z","title":"Rudnick and P","venue":null,"work_id":"49b8e1b1-7ada-4cf0-a9f5-7d55bbc5d7b8","year":1996},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.726659Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:577352f680f75eb45faa09bd2fc1e66a229680bb3138b731763c8088c3f9173b","observation_id":"386cf9ce-bfbb-4bf6-b6c7-3b00db5b41b8","resolution":{"observed_at":"2026-08-15T17:56:34.858723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.838035Z","title":null,"venue":null,"work_id":"965a3b6a-cd24-4c5b-9ca2-5fe524643ef2","year":2005},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.730623Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:bd7d4c24c32de5d522bfecbb0936e55dfc78eba28c07e88fa6f5aa244c203f56","observation_id":"372501fe-5501-4a16-adc6-79893e26336b","resolution":{"observed_at":"2026-08-15T17:56:34.842504Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.823620Z","title":null,"venue":null,"work_id":"09cf18d4-eaab-44f7-9263-0a7cde24ffb6","year":1989},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.734648Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:1d5f82838f2275cc19522f83c130a7b29d27b93a1555fc31a274c832c051c9ad","observation_id":"230e1fb1-2a05-46e3-81a4-9b3b872b2949","resolution":{"observed_at":"2026-08-15T17:56:34.827886Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.809047Z","title":"Soundararajan and J","venue":null,"work_id":"2f77ae99-119b-421d-a5ca-3636a8c51ac4","year":2019},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.739148Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:646cbb0b09b9eace34529848364f19534f871ba958e4a160272336cf12008b55","observation_id":"edbae471-9d9f-4493-8e6a-d1aec65186c7","resolution":{"observed_at":"2026-08-15T17:56:34.813698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.794415Z","title":"Wu and Y","venue":null,"work_id":"95d40db5-b2ae-455f-a0f0-d64dff32ed69","year":2007},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.743308Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:8907985c9b837a9e8903e0be3aed8b70b3cf2eb73af138b55670817100cb52d4","observation_id":"b031e85a-61f1-4ae8-be87-8ee824db79a9","resolution":{"observed_at":"2026-08-15T17:56:34.799288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T17:56:34.778472Z","title":null,"venue":null,"work_id":"10db4d6c-1bdc-4b3e-b022-69b89fffc908","year":2017},"citing_paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T17:56:34.747993Z"},"links":{"citing_paper":"/paper/2507.20653"},"observation_digest":"sha256:74d222661944d3200ccb57f23c1854b36f2b2296810290548f27d72973e32c5b","observation_id":"599bc7e8-7968-44f8-90e8-b6c50ce46008","resolution":{"observed_at":"2026-08-15T17:56:34.784123Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.20653","last_updated":"2025-07-28T09:20:50Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-17T13:19:16.753498Z","submitted_at":"2025-07-28T09:20:50Z","title":"On Hypothesis H of Rudnick and Sarnak"},"reference_resolution":{"displayed":47,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":23,"verified_exact":0,"verified_fuzzy":24},"total_outbound_references":47},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 4 inbound Pith citation observations for arXiv:2507.20653."}