{"as_of":"2026-08-11T19:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3725179687774e3107640c5510367369341260e51b14ac9c3346d0565d03c71d","coverage":[{"denominator":62,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":62,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-01T04:23:29.126788Z","state":"measured"},{"denominator":62,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":62,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.31441/citation-record","integrity":"/paper/2606.31441/integrity","json":"/paper/2606.31441/citation-record.json","paper":"/paper/2606.31441"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jnt.2011.09.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Ng, N","venue":"Journal of Number Theory","work_id":"43963cbf-1b39-42e0-933c-a80e37e6bba1","year":2012},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:7f6eab12457e686a89dba67ab974ab9d42685bbac17d45e126c31d22bc0be613","observation_id":"4d66e95e-c118-410b-8b21-d700ee3d11ba","resolution":{"observed_at":"2026-07-01T04:25:21.187089Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01390234","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Inventiones mathematicae","work_id":"c1b17646-608f-466f-9bbe-45ddb359da19","year":1979},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:aa3b3131f983fb68d46116067781c1832b5ea93fd67d4890084ccbaf252d43bb","observation_id":"8d01fdf4-cfdd-4a67-9a57-5c5db4644db9","resolution":{"observed_at":"2026-07-01T04:25:21.193423Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-07-12T07:49:23.649716+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T07:49:23.649716+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-07T00:13:05.326069Z","title":null,"venue":null,"work_id":"3f9b84bc-a68f-4ff5-855a-72946aa41a94","year":1977},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:313089a3052de66e1441aa3cd5d740aba52e9b432309ac85e791fdd89bc5e687","observation_id":"8569e2cd-1cfd-4b2d-9b0c-9757a9ae5865","resolution":{"observed_at":"2026-07-07T00:13:05.328151Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2007579","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematics of Computation","work_id":"40fde98b-a4c6-451c-87ca-15776a42cf2a","year":1984},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:6f346efd9bf9530191cacec897cc624b03f250f140367e75bf38e17264287c08","observation_id":"22af9816-9b82-4415-be37-f9aebbecf6bf","resolution":{"observed_at":"2026-07-01T04:25:21.195854Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01162949","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", TITLE =","venue":"Mathematische Zeitschrift","work_id":"3583439d-169a-48dd-8db0-d28bf95431cd","year":1959},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:f5771296b225cee6953d4a861c0ed8ad4811e70e9ae1390f661bbef6ca208e7f","observation_id":"3c2cff4b-23d9-40eb-8bde-11729622529b","resolution":{"observed_at":"2026-07-01T04:25:21.191080Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2371291","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", TITLE =","venue":"American Journal of Mathematics","work_id":"4e9f4bdc-bb59-4ee0-be5c-07ce014fdfef","year":1941},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:106e56f65a27e57d9f9309f97be21c13d9b953641ea6ef440967cae06f62b3f4","observation_id":"28cf8b14-9e9b-48d4-88ad-5d9b95fc4602","resolution":{"observed_at":"2026-07-01T04:25:21.204839Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0025-5718-2014-02898-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematics of Computation","work_id":"05a23ec8-1f73-49d9-88ae-ddead798cd69","year":2015},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:ce0623b0b48f9a8963a1c7bd2cd9bec7844625accf89335bdac16602b789639e","observation_id":"7281bf28-68f6-41a9-908f-1f39d576803b","resolution":{"observed_at":"2026-07-01T04:25:21.202656Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0025-5718-2014-02886-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Kadiri, H","venue":"Mathematics of Computation","work_id":"1248c8e0-c8b8-4aca-b2ae-9c9fe61c92ee","year":2015},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:0e7be9bc4e2a7cfa915f379f4e45b53d22de3971e9cb62e70416b55e509d5619","observation_id":"bae8035c-625f-4bed-b19d-9aba6f991a85","resolution":{"observed_at":"2026-07-01T04:25:21.206504Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:13:05.316113Z","title":null,"venue":null,"work_id":"62728e17-8a6a-4b54-8be2-2740350cc221","year":2012},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:8863fb02710151823993d5295ff224008c726f29a87289ff4ce00f237508f33d","observation_id":"ddb20738-86c2-4635-94ee-58369fb48375","resolution":{"observed_at":"2026-07-07T00:13:05.317870Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jnt.2013.07.017","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Number Theory","work_id":"9092a40c-cb5a-424c-b072-ec6e879d89c4","year":2014},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:54ce81fec543f8ccd73fd8fc83862669508a4336b229970c56c72e884e76c6d9","observation_id":"8ba2d74d-2915-4135-a3fd-dc9dfcd7b3fd","resolution":{"observed_at":"2026-07-01T04:25:21.185542Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02422950","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Acta Mathematica","work_id":"581779b5-bb2e-4534-9bb5-8622061d87d5","year":1916},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:a4f908c4de0fe5a11b27287823366b24311ccecd74de94bb59365e09f9e9d01c","observation_id":"cd03810f-230e-4a69-b5ef-c24153caf797","resolution":{"observed_at":"2026-07-01T04:25:21.198683Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:13:05.329243Z","title":", TITLE=","venue":null,"work_id":"61b44e93-38b3-45e3-8872-fb3d75b97648","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:2260b5af4d8e401e4d5c7a33abb1b384135aa4b160fc9baab1667fbada598511","observation_id":"71615f8c-cf5f-4193-b430-02d62d582555","resolution":{"observed_at":"2026-07-07T00:13:05.330886Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01447494","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"1d7d5935-92a9-4bb6-ac31-d0052196b5d6","year":1905},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:bf10bb749a163d9c87d1037888f2b7b6e30016c470e20ca2073e8280b7e00271","observation_id":"d1f7808d-69cc-42b9-861b-cc8d6556fa3c","resolution":{"observed_at":"2026-07-01T04:25:21.183925Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:50:24.359565+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:50:24.359565+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-07T00:13:05.305010Z","title":"2022 , author =","venue":null,"work_id":"c4b53364-d40c-4a4a-8f94-41149c19e07a","year":2022},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:d9275625d11bbe1e6ad3c0365f4587d0440a608f40f9c9fb61b1588470a3429e","observation_id":"8674be4f-3edc-44e2-842e-f6c8f36a5857","resolution":{"observed_at":"2026-07-07T00:13:05.314259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:05.207553Z","title":"2024 , journal=","venue":null,"work_id":"f775e536-b86b-4bcb-85e9-404d6f0e3b23","year":2024},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:1f81862ed35a5cf1280118fdf6403d0dd4e5faccbfa668a4e59b9cc94408e94e","observation_id":"3d2387e4-cb26-41c7-bb94-1d0147ad9537","resolution":{"observed_at":"2026-07-07T00:03:05.208948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.925324Z","title":null,"venue":null,"work_id":"76edc6d8-f417-484e-bf5d-5a6d3db92779","year":2016},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:80cc6c57c3737bc1ba9934c88c3e4c1cc5c4be5464ae95c6bd86c14e703e7322","observation_id":"5d37157f-b17a-40f3-8a07-91d444bd2292","resolution":{"observed_at":"2026-07-07T00:03:07.926642Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.991597Z","title":null,"venue":null,"work_id":"fcb71dfb-af0a-4876-afe0-97d5e42d2fbd","year":2024},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:15efbd207e1e30d3a64c9fdd8fe1d3ca2bb86e0f42cb5f301c4f9cedf8bc3be0","observation_id":"7848ca6c-a2f3-470c-821b-20b927f3006a","resolution":{"observed_at":"2026-07-07T00:03:07.992957Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:13:05.318741Z","title":null,"venue":null,"work_id":"dd97720c-1fc8-46df-8221-018e6ecdba1a","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:a7fd2cf8304ae77b3dfe2a606c12d3ed7ed1a163abf48095b767baaaedf719b7","observation_id":"433ef3a9-78ba-4ad2-9944-7dcddd3fdd69","resolution":{"observed_at":"2026-07-07T00:13:05.320552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:13:05.321304Z","title":"2024 , author =","venue":null,"work_id":"bf97c901-3167-4377-8462-8714c3fef099","year":2024},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:78e8bedfd9339cb8744733977f6b008968c4e45e57bbe0ec0fad3f3c1f0be7f0","observation_id":"52b18108-b62e-4198-ba07-1af1ce95b867","resolution":{"observed_at":"2026-07-07T00:13:05.322911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:13:05.323742Z","title":null,"venue":null,"work_id":"1e9d2b48-ee80-4045-8508-539e53f5955c","year":2022},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:db10c3939264f9080b29a993ee91d453a07af2eeefae15484dee863f0cb296a7","observation_id":"067a6650-b2fe-4d99-9857-31e25b653745","resolution":{"observed_at":"2026-07-07T00:13:05.325361Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:05.246450Z","title":"2024 , author =","venue":null,"work_id":"f988504e-fec5-4dbe-bd88-d94d2c3e5695","year":2024},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:5e3524e9043eb75befe1e93a79e3c63056f3825b02f74ecaba1f92e20aefc1e4","observation_id":"d9ce876e-9a93-4faf-8512-b5c472564423","resolution":{"observed_at":"2026-07-07T00:03:05.248412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:05.244355Z","title":"2014 , author =","venue":null,"work_id":"55df2134-2a7d-4c42-96cb-f0e4f4efbca9","year":2014},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:0698b922a40b3d2c5877d54d84b0c3f2615e2cb6d14899cefb8fa6e19a107f38","observation_id":"d11526e6-2f91-4bdb-ad5d-223a263493f2","resolution":{"observed_at":"2026-07-07T00:03:05.245806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:08.001313Z","title":"2024 , note=","venue":null,"work_id":"db10e139-a2da-4e77-97fe-64e5ced98944","year":2024},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:ac103279ee0836230cc31dd8ee35abb0c18f54600b2bec8c956595636c6852f6","observation_id":"6102cdc0-d7d4-4d7a-a79d-b6172c80c916","resolution":{"observed_at":"2026-07-07T00:03:08.003836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:08.007170Z","title":null,"venue":null,"work_id":"8eb41a0a-7af8-40a8-9810-eb472e50b9c2","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:3de24eb736c8fc8be023ec2c8b4ba662209134ce923096f1020cbc3def5317ba","observation_id":"d544b65c-8614-4eeb-8f1d-5f4d7035ec87","resolution":{"observed_at":"2026-07-07T00:03:08.008740Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:08.004560Z","title":null,"venue":null,"work_id":"da37822d-7e8c-4171-8cea-aa737f54404e","year":2021},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:1cba07b6c9c6758c95c08816cc170a9ca6b122e2dc59d89fa5a80bafcd63e739","observation_id":"831ffbff-ffdb-4cd3-a646-9b7a9809f470","resolution":{"observed_at":"2026-07-07T00:03:08.005945Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.986898Z","title":"and Odlyzko, A.M","venue":null,"work_id":"9c7c3335-0192-4679-be57-ba12fa49fc5d","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:c4a6c5ef954d2f11f44753808f02c8db51f6b93e587015892258d0044c3f90d5","observation_id":"35b5fdc9-eb3f-436b-8518-f51c225a5cf5","resolution":{"observed_at":"2026-07-07T00:03:07.988533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.984645Z","title":"Dudek , title =","venue":null,"work_id":"9f2d515b-ace0-4d9a-b224-b25dd23135b9","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:2ac455317f040685547b9606a16521c67865a5234c994a07267c74b415969978","observation_id":"1dc9492c-81ca-4d62-8dca-d74ac4d7377d","resolution":{"observed_at":"2026-07-07T00:03:07.986183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.989479Z","title":null,"venue":null,"work_id":"99744856-73ed-4d49-b307-ae76662e7020","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:4aa32abaaea4831eed74baa91370ef74f7719c83a409fd56849761b9f03fddb1","observation_id":"dcf1239b-937a-4a75-90c0-2ab57eb84f85","resolution":{"observed_at":"2026-07-07T00:03:07.990973Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.994418Z","title":null,"venue":null,"work_id":"ed5a0ca2-264f-4916-9932-b6d1b6498fc8","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:89e50dce9e63197c93d983914b1cd613390804f51348efa686371109cab3ee6e","observation_id":"e733cd5a-91bb-4f7c-9c07-4629f521b48e","resolution":{"observed_at":"2026-07-07T00:03:07.996048Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/blms.12460","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Bulletin of the London Mathematical Society","work_id":"ccef1b66-cf53-4f7c-a626-43744ed90e4d","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:cb0441630c59beeb79492402e3ff29eaa11b57211718dbf08038640a07831393","observation_id":"be34fe8a-9fc6-463a-9182-3edfa268c542","resolution":{"observed_at":"2026-07-01T04:25:21.200865Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.996851Z","title":null,"venue":null,"work_id":"a1fce353-55c4-4f29-af85-8ea98a194a81","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:d4ba1cff4a80d0881c398d7b16dd765e044fb68cdb5e0de34561417a4ae37fd5","observation_id":"9d3dba25-9b4f-4ecd-addb-b66356374b65","resolution":{"observed_at":"2026-07-07T00:03:07.998292Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:05.225561Z","title":"and Hughes, Christopher , year =","venue":null,"work_id":"e0e9aeb4-7e33-4538-b0c8-e8ec1a8a66b4","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:51e817f8674686e43488158b5ab34c8b8afdef4ad9b2d2365bbfee62bc3d90b4","observation_id":"a922d038-b8b8-4f0b-8983-f6c02069b375","resolution":{"observed_at":"2026-07-07T00:03:05.226773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.980356Z","title":"2015 , author =","venue":null,"work_id":"cf7ef5d7-3495-4f2b-a8fa-c727afb14297","year":2015},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:221a65e8a1062a974f78c87d5bb39ce787dd127d109f3ae5ca9077fe912178b5","observation_id":"cc94986d-ec6a-4765-b754-a0b904528759","resolution":{"observed_at":"2026-07-07T00:03:07.982009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.972383Z","title":", title =","venue":null,"work_id":"70f79d9c-393f-4443-96cc-d833769650d2","year":1987},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:96e8ff03cb0f6ee8efe5c9b563e6771ce64e76eb301078c69d3bc4c2de7be8e8","observation_id":"29b3eeea-7efc-425c-8ae9-18164299747d","resolution":{"observed_at":"2026-07-07T00:03:07.974240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.970365Z","title":"2023 , note=","venue":null,"work_id":"b78c88e4-61fa-46fb-834c-e5cc99f9023e","year":2023},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:2f5601da3d0c59faf34495f9654920a29266a39cfef534de2e00a1e025a283cc","observation_id":"0b81a1c3-0f5f-40bf-8ab2-c6414d8454d4","resolution":{"observed_at":"2026-07-07T00:03:07.971807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.974844Z","title":"2024 , note=","venue":null,"work_id":"770e3053-1e2c-4fe4-9ca0-2f1d4b89ffa7","year":2024},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:8993d92ceb2e0e48f694457d94f41386e135461dd675f0ae7418013932533507","observation_id":"0caae16a-1d97-4b64-ae1a-dc57eb7be938","resolution":{"observed_at":"2026-07-07T00:03:07.976555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.977480Z","title":"2022 , author =","venue":null,"work_id":"26399e7c-ae0d-43ec-bb0c-3bb9387890c1","year":2022},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:e5f84c46a9c8a585e57cad2f2ab741d09f00afcb1f0a7fad7bdeefb05914e83c","observation_id":"2d013185-acde-4c23-a4b8-a90e280fa792","resolution":{"observed_at":"2026-07-07T00:03:07.978894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.963148Z","title":"Mathematische Annalen , volume=","venue":null,"work_id":"59c2184b-b679-4363-ad32-d7c8948261ca","year":2013},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:5474bc8a69b6ea67373fb628735b31c4a26051e52cf24c13dba77fdb89c87f7e","observation_id":"f1c8eb7d-5acf-4c0a-9549-5778da03c72f","resolution":{"observed_at":"2026-07-07T00:03:07.965047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.965863Z","title":"Milinovich , journal =","venue":null,"work_id":"bdfb3c45-e16a-43cf-b6b8-656d74b2dd02","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:ddf60ec074e6b1ad3f49d34b4818e09d6cb0e21631b8865739b8467f83bec64f","observation_id":"e0fcb554-0991-4804-944c-4fbaf3146127","resolution":{"observed_at":"2026-07-07T00:03:07.967227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.956868Z","title":"2025 , note=","venue":null,"work_id":"2f47a31b-d02f-4115-99b2-a5573c5d83c7","year":2025},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:23007a7ab0b4cd080488f213218dc249b633145389548f7cddc489c06adce507","observation_id":"096f3f44-d51f-426d-8b2a-5a2a83c57e70","resolution":{"observed_at":"2026-07-07T00:03:07.958231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.958852Z","title":"Bober and Ghaith A","venue":null,"work_id":"9003f583-2b51-45af-9be3-dfcb67ffda9f","year":2018},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:575bfbbdd22d0f74d73128b98d0cb854f8385179f0676c90a790cf702393a604","observation_id":"017bef4d-ed6a-4d14-9eeb-257bc79c67c6","resolution":{"observed_at":"2026-07-07T00:03:07.960521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.967856Z","title":"IEEE Trans","venue":null,"work_id":"49637269-d5fe-4b31-8dac-ddb3056c0722","year":2017},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:6185402da8275ad02de3b35d5a03cbe38158e3e6da0f59ccff635441c2fa5074","observation_id":"f28b010f-d0ae-4fc0-b99c-bd04e1f15ea7","resolution":{"observed_at":"2026-07-07T00:03:07.969609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.953760Z","title":null,"venue":null,"work_id":"844323ac-7fac-4f3c-8a9a-6fe57ea5a020","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:a44690169bec88de2f139907ab1a8a86c50d2f2df07f5d5f73ac4944e3a43f92","observation_id":"2073d33b-7dba-446a-bece-f129a09e6d02","resolution":{"observed_at":"2026-07-07T00:03:07.955326Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.947038Z","title":"Mathematics of Computation , author =","venue":null,"work_id":"5c8f36ca-dc41-4412-96eb-df3b6d6e4587","year":2017},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:2e53b10726d0a363ee14e11c61eca7405313079b5d2ab64b652957bf0a2660ea","observation_id":"9a79efce-ffe3-4bab-8a36-6e93318a63bb","resolution":{"observed_at":"2026-07-07T00:03:07.948474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.949085Z","title":null,"venue":null,"work_id":"a79db595-3b77-4dad-9236-893bd432b5cf","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:c427314ebea86dad7da2a9b0a809d3cccf7c5345ae3c0f48dbd9c59ae9961732","observation_id":"7aa89f0c-dd2b-4508-ac6a-1f8baf5d2011","resolution":{"observed_at":"2026-07-07T00:03:07.950833Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.951853Z","title":null,"venue":null,"work_id":"17349966-3029-45f5-b93a-06c5ef8e7c16","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:5bd4811e52e74beb623bb59f8a33a49cb26f7f6463f7f4e2ff349440ba1e59e1","observation_id":"96798f34-8c8e-4514-9c40-7a953ea53a59","resolution":{"observed_at":"2026-07-07T00:03:07.953060Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.961135Z","title":", title =","venue":null,"work_id":"e4955d09-033f-4afc-a8ca-10a3b24c5447","year":1977},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:c05cbf97b2a2b4334fca02ea80e2ec208ea26cd1902761a1767872599d5664a1","observation_id":"5390d236-b0f5-40c7-9eec-2165c64e18a0","resolution":{"observed_at":"2026-07-07T00:03:07.962527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.982645Z","title":"International Journal of Number Theory , volume =","venue":null,"work_id":"8c99fa1c-54b0-4272-8502-0a4fbc00545f","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:9855ff311145f491b0bf9f2c6070a59dbae723bf7e1067d48cddf42e2835b520","observation_id":"934e3448-b4ca-4e54-bfc9-3c622601736c","resolution":{"observed_at":"2026-07-07T00:03:07.984078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.999014Z","title":"American Journal of Mathematics , volume=","venue":null,"work_id":"e468f373-2dc2-48dd-85ac-5da793821c4f","year":1988},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:801c7ad49fc890444d743e8d5f280d139f554e89485dfe328ad1f50475ddb803","observation_id":"590e4829-46a2-4304-b257-606a8bea12f7","resolution":{"observed_at":"2026-07-07T00:03:08.000665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.944450Z","title":null,"venue":null,"work_id":"c4aa51c4-2a44-45b9-9d35-3980aec34d7f","year":1997},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:45bc616860e080ca5cc7c036ecf8729117f922f122da2a03aca1a9a44b3ea095","observation_id":"453aed56-66b4-4865-9ee6-46481099deca","resolution":{"observed_at":"2026-07-07T00:03:07.945792Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.940331Z","title":"Ram Murty and V","venue":null,"work_id":"af318d40-d7ab-4eac-b625-629388db96a6","year":2018},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:53f81fdb2238cd175836d4164fb9abda3c80d393f9c69e208f8aa05833019b92","observation_id":"193223f3-c641-4016-9d45-50ad92b36d34","resolution":{"observed_at":"2026-07-07T00:03:07.941582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.27444","last_updated":"2026-05-27T15:06:28Z","snapshot_observed_at":"2026-08-04T07:08:06.077026Z","submitted_at":"2025-10-31T12:52:31Z","title":"Estimating the number of zeros of Dedekind zeta-functions","version":4},"cited_work":{"arxiv_id":"2510.27444","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.27444","snapshot_observed_at":"2026-07-01T11:35:42.776473Z","title":"Estimating the number of zeros of Dedekind zeta-functions","venue":"math.NT","work_id":"ac6a6fb9-83b6-4e1c-b006-656e67b0b0c0","year":2025},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"cited_paper":"/paper/2510.27444","citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:dc120810601eae772176631efe37608b04f404cbc5fec0266e86e6d2684eafdf","observation_id":"29b0f04b-6680-43b4-b9d4-6424eb743608","resolution":{"observed_at":"2026-07-01T11:35:42.778003Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-662-03983-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"23 Alain Robert.A course in p-adic analysis","venue":"Grundlehren der mathematischen Wissenschaften","work_id":"d9adb75c-42d3-44e3-8788-aa766aeddc16","year":1999},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:27cb61b78d3e2322f53217aba71d427e7382169633dcfdd3898f37f751e0a313","observation_id":"f5691af2-e5c5-40a3-817f-f195f27ccbe4","resolution":{"observed_at":"2026-07-01T04:25:21.209706Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-07-12T06:49:19.881761+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T06:49:19.881761+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/plms/s3-3.1.99","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Proceedings of the London Mathematical Society","work_id":"db336cbb-26b8-4b69-a674-e833e9c6a911","year":1953},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:f224317bfb28f6992bd735a90fa64ab8a9a0ad70a4c38e945cad08018f7bf5af","observation_id":"a709dedc-5185-4858-8aa8-4ec19722db27","resolution":{"observed_at":"2026-07-01T04:25:21.188927Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0273-0979-1981-14936-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Bulletin of the American Mathematical Society","work_id":"065ac214-36bf-47a6-8199-4a349a26d7cd","year":1981},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:c4f07d0e1a3200d33427ddb2f80476f1d358cce479e160f952f0c29f3a90f8b6","observation_id":"11936053-82f9-479e-8b79-9c4492668a1c","resolution":{"observed_at":"2026-07-01T04:25:21.208028Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.934008Z","title":", TITLE =","venue":null,"work_id":"675bd1b9-914f-4826-a807-386a4d21d76c","year":1980},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:20fed8adb73a728ed8d34c3629cae06207baeabc010ccb0fd858fa2130ad3a62","observation_id":"74fdc6b6-1b97-441f-8f87-9b0ede2eb87c","resolution":{"observed_at":"2026-07-07T00:03:07.935251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.936025Z","title":"Inventiones mathematicae , volume=","venue":null,"work_id":"159eef0a-2d04-44da-a221-6502288f11fc","year":2009},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:9e51ba934a88abbd542c1f2023197a291d775b5fc3a6385fe4e00f5564452dfa","observation_id":"530dc8db-e732-4e57-8339-042a00d8acc1","resolution":{"observed_at":"2026-07-07T00:03:07.937421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.938108Z","title":"Inventiones mathematicae , volume=","venue":null,"work_id":"46c1c54d-b4f5-42c4-abf8-8890717e1d21","year":2009},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:813ec0062cf74a5c38b2e60d92e2f031235cc4b42d80e1a3c65c866052c95037","observation_id":"524fb5de-a92a-4f43-8f86-9fb67af23e7c","resolution":{"observed_at":"2026-07-07T00:03:07.939739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.942382Z","title":"International Mathematics Research Notices , volume=","venue":null,"work_id":"0d057db4-c3a0-4961-a7a1-09bf358c2085","year":2002},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:cac6141541d0b206d6e5f64d856932145e04342959829c12526e7797faf43971","observation_id":"084e3815-4b18-442e-9593-883f8580023e","resolution":{"observed_at":"2026-07-07T00:03:07.943690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.927257Z","title":"Mathematics of Computation , year=","venue":null,"work_id":"94585c40-a0ef-4699-a5d4-8c5863257dc2","year":null},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:aaa0584ebfb72c2f851feb61de52a33073a267c126e85f76e80db200fdd5f2b0","observation_id":"0c01ec26-9a4f-4d3d-bcfd-1158a4eeab8e","resolution":{"observed_at":"2026-07-07T00:03:07.928841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.929439Z","title":"Bulletin of the Australian Mathematical Society , volume=","venue":null,"work_id":"e96da75f-44bc-447a-8ce0-d98b1a520f61","year":2017},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:04f5573662b268af2885cbe467443e581f90f8c2f9ade9faacb677cf36af00a0","observation_id":"d8a76c33-2649-434a-a973-6f4e4047f850","resolution":{"observed_at":"2026-07-07T00:03:07.931186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T00:03:07.931897Z","title":"Journal of Number Theory , volume=","venue":null,"work_id":"8f3157d6-e2df-4e0b-8b70-43f08f34d9bd","year":2019},"citing_paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-07-01T04:23:29.126788Z"},"links":{"citing_paper":"/paper/2606.31441"},"observation_digest":"sha256:9afcfde7e2172df6df6772010a908f17705bf2775ac1e887c76145ed7d82be08","observation_id":"d72f1e0c-259c-41db-b4a7-09f2e516eed6","resolution":{"observed_at":"2026-07-07T00:03:07.933241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.31441","last_updated":"2026-06-30T10:13:32Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-08T12:58:11.498876Z","submitted_at":"2026-06-30T10:13:32Z","title":"Counting zeros of Artin $L$-functions"},"reference_resolution":{"displayed":62,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":3,"unresolved":13,"verified_exact":14,"verified_fuzzy":31},"total_outbound_references":62},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2606.31441."}