{"as_of":"2026-08-18T16:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:990dd40212b604efb46339248c30b367f93253659834ff3e311a509d18724661","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:52:42.415157Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T20:49:36.275111Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-02T20:17:21.306242Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"cited_work":{"arxiv_id":"2505.24017","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.24017","snapshot_observed_at":"2026-07-02T20:17:21.306242Z","title":"Gafni, T","venue":"math.NT","work_id":"d227be16-ca1e-4f0a-a1b1-9f03b434958b","year":2025},"citing_paper":{"arxiv_id":"2603.27990","last_updated":"2026-04-22T03:21:12Z","snapshot_observed_at":"2026-08-13T19:30:02.059078Z","submitted_at":"2026-03-30T03:23:49Z","title":"Products of consecutive integers with unusual anatomy","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-14T01:16:54.511310Z"},"links":{"cited_paper":"/paper/2505.24017","citing_paper":"/paper/2603.27990"},"observation_digest":"sha256:f49d73043424408c77f193e1460827941edeebbb983fd5c84951f7b3d56f1485","observation_id":"b1b1fdf3-67c4-469a-9c9c-9248a838e992","resolution":{"observed_at":"2026-05-27T15:06:21.364444Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"cited_work":{"arxiv_id":"2505.24017","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.24017","snapshot_observed_at":"2026-07-02T20:17:21.306242Z","title":"Gafni, T","venue":"math.NT","work_id":"d227be16-ca1e-4f0a-a1b1-9f03b434958b","year":2025},"citing_paper":{"arxiv_id":"2606.07428","last_updated":"2026-06-05T16:22:21Z","snapshot_observed_at":"2026-08-13T19:29:25.405988Z","submitted_at":"2026-06-05T16:22:21Z","title":"Gaps in Multiplicative Sidon Sets II","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T20:49:36.275111Z"},"links":{"cited_paper":"/paper/2505.24017","citing_paper":"/paper/2606.07428"},"observation_digest":"sha256:2574aa7661e96cb8b19b0802fed2c446b64fbdfe675faad3f8a823a45cc8ade9","observation_id":"f051d462-9f91-4876-b188-2311d58297e0","resolution":{"observed_at":"2026-07-02T20:17:21.307456Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.24017/citation-record","integrity":"/paper/2505.24017/integrity","json":"/paper/2505.24017/citation-record.json","paper":"/paper/2505.24017"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:52:50.851429Z","title":"Bourgain,On the distribution of Dirichlet sums","venue":null,"work_id":"241bc454-71de-4039-b09b-98ffe9e0e432","year":2000},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.307688Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:f731ec8e4883f2d245007f841f365edbe333a971406e38a4c044c3221319de09","observation_id":"ce7c0d9f-8f5a-4d36-b096-5802c4f524ca","resolution":{"observed_at":"2026-08-07T12:52:50.963413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:50.704343Z","title":"Bourgain,On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann zeta function, Internat","venue":null,"work_id":"d094d299-0986-4e8a-b8cb-ba45f5b21e8d","year":2000},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.367239Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:efee2e88841e97a2b20fb51d3b517dde4845ffdedb687b46817a757d7aa5e55f","observation_id":"a3da42fa-787c-49d3-8196-0a6e92d6ec36","resolution":{"observed_at":"2026-08-07T12:52:50.768275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:50.493078Z","title":"Bazzanella,Primes in almost all short intervals, Boll","venue":null,"work_id":"3d1d2a21-ef17-42b8-a3aa-c165f79c098a","year":1995},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.452410Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:92656f9a832134c476d37a0075f7b2ab65de74d47773240ed7b447b3f5b3590e","observation_id":"468f4f4e-8c34-4850-9b4e-99e606f412ad","resolution":{"observed_at":"2026-08-07T12:52:50.556874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:50.330672Z","title":"Bazzanella,Primes in almost all short intervals II, Boll","venue":null,"work_id":"91bd657b-fa9e-4fd9-8f0c-5a0d4d599600","year":2000},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.531329Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:421b1d5553c6046a4fb8c92816d7adc49901262d57b6c1c58b748d926a45be73","observation_id":"225c32ba-b646-40d1-b1ae-7c24d2cf5f88","resolution":{"observed_at":"2026-08-07T12:52:50.405259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:50.123323Z","title":"Bazzanella,Two conditional results about primes in short intervals, Int","venue":null,"work_id":"625a59ad-6531-46a8-9370-c891b5358b5d","year":2011},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.602797Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:b578aafb139f45f9c4e186f649d1a8f2e2d65aa4cfa9a7906acb5d132b9df8d1","observation_id":"f20b7b4e-a406-4024-be1b-5b62b8c9dabe","resolution":{"observed_at":"2026-08-07T12:52:50.178707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:38.688278Z","title":"Bazzanella, A","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.688278Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:d94ae9d58e42384826f638a2621cc30645cd760259126d7da5f79455d4b01c28","observation_id":"3f2181d8-57ee-4814-be53-361cb9593dee","resolution":{"observed_at":"2026-08-07T12:52:38.688278Z","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":"2026-08-07T12:52:49.884077Z","title":null,"venue":null,"work_id":"eb4e8968-a5ff-4709-9b92-eefa841abe3e","year":2024},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.759900Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:b1121c5c94acf4e098807a71d4f76b42bf0d6505f1e7a23e80b5f220bb5f38ff","observation_id":"59f66c01-66c5-43bb-a98f-45d469f71bc3","resolution":{"observed_at":"2026-08-07T12:52:50.009691Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:49.711752Z","title":null,"venue":null,"work_id":"9c15619f-75fb-4ae4-9f47-fc13291f9fab","year":1979},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.838859Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:492eacd712e864eca7e0444bd9d033dac7e3cbaf1166cee08825db462c5b8fef","observation_id":"9d960a5c-baa3-43fa-b9b3-393c1863687a","resolution":{"observed_at":"2026-08-07T12:52:49.793277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:49.463095Z","title":"Cram´ er,On the order of magnitude of the difference between consecutive prime numbers, Acta Arith- metica2(1936), 23–46","venue":null,"work_id":"4a977d24-1c8e-44ac-95be-9e49a9b4b4f8","year":1936},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:38.903914Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:7e1cd79071727dc7e1102fdd6316d094b948a280a31d2fdd78592772739db7ba","observation_id":"a50f1bde-0bac-4d1a-a23c-5dc8654b7211","resolution":{"observed_at":"2026-08-07T12:52:49.605462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:49.255301Z","title":"Davenport,Multiplicative number theory, 2nd ed., Springer-Verlag, New York/Berlin, 1980","venue":null,"work_id":"330ea6ce-629e-41f2-9dc4-8d3c94307d68","year":1980},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.014743Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:bb2a0081854ebc6f542d8d7a75c8c4b7bb0664510a7ee0a8e1a6ee768eb2bdb6","observation_id":"d2b92647-3aea-467b-bb7e-7f11cc0c78e5","resolution":{"observed_at":"2026-08-07T12:52:49.376010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:49.059968Z","title":"Ford,Vinogradov’s integral and bounds for the Riemann zeta function, Proc","venue":null,"work_id":"c8c0d705-c581-43a5-afc3-999d653dcb17","year":2002},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.103290Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:9a8a22906ea1c4b4fcc31bac7cfa2ce0a23159e9e05b7f627c938efcf2a7a22e","observation_id":"908fd40a-1abc-4541-9d73-0db533495f4b","resolution":{"observed_at":"2026-08-07T12:52:49.147022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:48.844035Z","title":"Hal´ asz, P","venue":null,"work_id":"5a6a493c-1862-4096-afcc-0b1ac2777b7c","year":1969},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.267411Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:db6d6795d46c16c91f7c6e2609902032ac62ff40a561c7016db0e56ba71256c6","observation_id":"115381f4-fda2-4ddd-812b-800a35ce11f6","resolution":{"observed_at":"2026-08-07T12:52:48.959196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:48.602523Z","title":null,"venue":null,"work_id":"1b831b1e-7594-4450-a65e-b4ca4654a271","year":1979},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.338716Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:b554d97137261db393dad9909923c009b4f5a227cd4b28f09656fe72be1b6c90","observation_id":"fdd4c7a9-46eb-4d84-acd5-a60120dece23","resolution":{"observed_at":"2026-08-07T12:52:48.712623Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:48.370797Z","title":null,"venue":null,"work_id":"536ffd40-e44f-43dd-8b12-f445e781be0f","year":1979},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.433511Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:a5298de6d828fbb090deae1a85cbfb6a3f42f6fd0b435eec4e62368e7025ee11","observation_id":"33b81523-c8bf-450e-a336-644517e3a2b3","resolution":{"observed_at":"2026-08-07T12:52:48.458767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:48.114261Z","title":null,"venue":null,"work_id":"36db4cce-d16f-4e22-b0c4-3e69b131adcf","year":1979},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.517703Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:587eac6068e77ecefb3ceee94de6495e997f42bff49c509d6d0fab6b4be989f8","observation_id":"b7ceedc3-7520-410f-94b5-b7f4ea85cf54","resolution":{"observed_at":"2026-08-07T12:52:48.254908Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:47.979044Z","title":null,"venue":null,"work_id":"f2946962-cffd-437d-b979-bd0f79eade07","year":1988},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.599315Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:d3fe77bbb209f91a9d23b11d215ead29a46cd2947dc448bbcba4625674ffd7bf","observation_id":"3c5201ce-7663-4075-ace1-337dd863eadf","resolution":{"observed_at":"2026-08-07T12:52:48.041017Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:47.746230Z","title":null,"venue":null,"work_id":"38ca26a4-b2f2-410f-8bac-529670b016e5","year":2021},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.686149Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:ae2017f8d89638145c6d7a6f6f4c96bb293ea595c2970d46b7514e5f54a7ee74","observation_id":"bdb42b40-0c3e-4ed8-9e2e-eaf50046e62f","resolution":{"observed_at":"2026-08-07T12:52:47.869258Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:47.489018Z","title":null,"venue":null,"work_id":"6fcc9c81-6df7-49c8-8cb6-63c8be07c237","year":1980},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.820300Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:5996619622cd8a2d02734d484716f953419db4248213bdd40a582a8eb8e21ef2","observation_id":"e21af74b-b579-4371-bd19-f4949436e7fc","resolution":{"observed_at":"2026-08-07T12:52:47.592695Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:47.256668Z","title":null,"venue":null,"work_id":"2fb58133-b61e-4036-8f0e-72b10dab1639","year":1940},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.942525Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:08412f54fc23e601312e1aea8b95c78be05a2724098a8ccaef6a00860b6ab5b2","observation_id":"918ed49d-767f-4051-ab77-f229e53d586e","resolution":{"observed_at":"2026-08-07T12:52:47.353787Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:46.922953Z","title":"Islam,Multiplicative properties of integers in short intervals, PhD thesis, Royal Holloway, University of London, 2015","venue":null,"work_id":"9f1374fd-847f-4d04-bfc2-10aef9af83cd","year":2015},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.084345Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:bc90d4bc0e542a6f49128f6cbc3b25a4798becc8e7ee2f85ed7c6fbe82987023","observation_id":"d58a61f8-da06-4982-be30-ac660608fa82","resolution":{"observed_at":"2026-08-07T12:52:47.082080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:46.671061Z","title":"Ivi´ c,On sums of large differences between consecutive primes, Math","venue":null,"work_id":"3fd24868-77e1-4fcf-b364-e7b463308c05","year":1979},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.236787Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:01628c45c2d53e2662357edd89f43a68f5245e51264fe328dac9d966ec5987f9","observation_id":"5f842741-1c65-4b9f-aebe-b7040a9ff6b3","resolution":{"observed_at":"2026-08-07T12:52:46.814891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:46.379113Z","title":"Ivi´ c,Exponent pairs and the zeta function of Riemann, Studia Sci","venue":null,"work_id":"f0c91b03-50ad-48ea-a781-6f65b85accd3","year":1980},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.385897Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:322834301fb9b3c44407870f528b0dc29b8cd068fb8909875bd932b328501dcf","observation_id":"fe14f1d7-daa4-4cc9-8d78-b2cb05f540cc","resolution":{"observed_at":"2026-08-07T12:52:46.493533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:46.030250Z","title":"Iwaniec, E","venue":null,"work_id":"c82c8a61-7e22-403c-91ad-bc61ae522750","year":2004},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.470545Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:32405016da20ef868755c2c8d5c237efe4d11fad9766713742bd8a63c7ed8f93","observation_id":"3e819439-211d-417c-bdac-421fe246561a","resolution":{"observed_at":"2026-08-07T12:52:46.163455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.10965","last_updated":"2022-12-29T17:53:19Z","snapshot_observed_at":"2026-08-16T16:06:59.868402Z","submitted_at":"2022-12-21T12:09:14Z","title":"On large differences between consecutive primes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.10965","snapshot_observed_at":"2026-08-07T12:52:40.597399Z","title":"J¨ arviniemi,On large differences between consecutive primes, arXiv:2212.10965 [math.NT] (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.597399Z"},"links":{"cited_paper":"/paper/2212.10965","citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:d8d9e7985a9f657059e7c4e84513257cf3a23d8d4d959b954d8f0aa575a82d8b","observation_id":"2fb7f764-7c3a-4e77-b6e6-1891f2ef1f08","resolution":{"observed_at":"2026-08-07T12:52:40.597399Z","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":"2026-08-07T12:52:45.820003Z","title":"Jutila,Zero-density estimates for L-functions, Acta Arithmetica32(1977), 52–62","venue":null,"work_id":"57932dbf-43b3-43c7-9309-fd0aa2d22119","year":1977},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.746880Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:d53e3200db6b6aff2ae9a9bce3a5cd8add247d20f7c0d7dc8618f4f56b3f5491","observation_id":"4465cf67-6a34-4107-918e-57eeaca030e2","resolution":{"observed_at":"2026-08-07T12:52:45.916911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2407.05651","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:52:42.685863Z","title":"Li,Primes in almost all short intervals, arXiv:2407.05651 [math.NT] (2024)","venue":null,"work_id":"5a3977ab-1fa8-490f-934b-9bc92f7b1db5","year":2024},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:40.912667Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:a8ac98363d474b9b7ae3c190f8756e05249b9851a039bf907a5a1b9fbeb81983","observation_id":"908eddd0-8d56-4a4c-b650-aa60864f35e3","resolution":{"observed_at":"2026-08-07T12:52:42.843827Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:45.569683Z","title":"Maier,Primes in short intervals, Michigan Math","venue":null,"work_id":"6788223c-2035-425a-9692-cf77224eec45","year":1985},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.043928Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:9ccaf6af14e7aa4e7f7d74812225bcbcc347c7ce45b4afa036d7e5cebdc01923","observation_id":"0f8fdf4e-ebd2-42a7-a72e-5722468acc08","resolution":{"observed_at":"2026-08-07T12:52:45.677626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:45.290528Z","title":"Matom¨ aki,Large differences between consecutive primes, The Quarterly Journal of Mathematics58 (2007), 489–518","venue":null,"work_id":"90375ca8-cca2-4578-9b28-beacfb586123","year":2007},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.156323Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:042a748d346687934c6cdba3d556709f8c80fac10fff79492634786bf3b8b44a","observation_id":"041fd862-d186-482e-8027-4274da281f5b","resolution":{"observed_at":"2026-08-07T12:52:45.413927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:45.037042Z","title":null,"venue":null,"work_id":"eaaa7a99-ba21-49d9-b548-cb7e95397698","year":1996},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.242967Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:9a0716eca2b67eced55e5b74a7d37107fc10a4193120e4692e97a936b57360bc","observation_id":"def2fa23-b90c-48ab-963d-e7d9fa4679fe","resolution":{"observed_at":"2026-08-07T12:52:45.186088Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:44.765853Z","title":"Pintz,Density theorems for Riemann ’s zeta-function near the line, Acta Arithmetica208(2023), 1–13","venue":null,"work_id":"2d69e960-9747-4c88-a3ae-fe441a4181dc","year":2023},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.347939Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:16be8892974658ceeef9dc4df1b6b24505b7a310afdafb0651647c1f2fc8343a","observation_id":"541817cc-2357-4132-8b49-1d0af8fbbf5f","resolution":{"observed_at":"2026-08-07T12:52:44.883866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:44.437176Z","title":"Selberg,On the normal density of primes in small intervals, and the difference between consecutive primes, Arch","venue":null,"work_id":"2a1c29fc-90ea-494e-b826-92d3b817da37","year":1943},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.477719Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:e973c78ca5f6415a5e1d5fc1e769e745259d14b7def34f4e2ba445b10d519a0b","observation_id":"796d3a0e-39c6-4053-aa1c-00f5b1b04243","resolution":{"observed_at":"2026-08-07T12:52:44.583880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.10867","last_updated":"2022-12-21T09:22:14Z","snapshot_observed_at":"2026-08-18T14:29:15.201832Z","submitted_at":"2022-12-21T09:22:14Z","title":"On the mean square gap between primes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.10867","snapshot_observed_at":"2026-08-07T12:52:41.620716Z","title":"Stadlmann,On the mean square gap between primes, arXiv:2212.10867 [math.NT] (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.620716Z"},"links":{"cited_paper":"/paper/2212.10867","citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:ca49c5ccee177085c58126c6be8fb2ab5e0695ab304fc92ed05be6445f6704ae","observation_id":"a9055689-232f-4b74-af89-915800ae8af2","resolution":{"observed_at":"2026-08-07T12:52:41.620716Z","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":"2026-08-07T12:52:44.164399Z","title":null,"venue":null,"work_id":"ee13adaf-8ba0-439f-ac40-68bd11b22cd7","year":null},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.737867Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:6031f16a5aa2d1c4de8deb1eeee9a64d001647d8ebb0ec99081183b307658c69","observation_id":"a1cb09d9-ccbd-43e2-9746-76d0e7ae8b5a","resolution":{"observed_at":"2026-08-07T12:52:44.306041Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20552","last_updated":"2026-04-07T23:36:59Z","snapshot_observed_at":"2026-08-17T09:37:20.610443Z","submitted_at":"2024-05-31T00:38:45Z","title":"New large value estimates for Dirichlet polynomials","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20552","snapshot_observed_at":"2026-08-07T12:52:41.863810Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.863810Z"},"links":{"cited_paper":"/paper/2405.20552","citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:f527eedcb571880e3beb2b174ea25d15eb58f16d2165abfef8e4ab10c29760b1","observation_id":"dc7b5eb5-7b9a-4fc7-81e3-58803ffab1f0","resolution":{"observed_at":"2026-08-07T12:52:41.863810Z","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":"2026-08-07T12:52:43.837274Z","title":null,"venue":null,"work_id":"74eb5cb5-0d85-464d-af22-9b87b2e19374","year":2010},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:41.935717Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:e70af1c9b305148e43700e632b9698d9416d288bba12a82700cad492a294cab2","observation_id":"b9fc73f1-c4f4-405e-828b-16e21e22bad6","resolution":{"observed_at":"2026-08-07T12:52:44.019854Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:43.568009Z","title":"Tur´ an,On a new method of analysis and its applications, Wiley-Interscience, New York, 1984","venue":null,"work_id":"8d4a9ed7-9d69-48f6-94c3-2fc134bcc93f","year":1984},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:42.077490Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:1b11cb1ec8f5154c6d12e87d16f9a6fd8263dc4ca5b4c803042d5bd973a0b759","observation_id":"eba32a14-89f0-4f00-ad3a-334cb452554d","resolution":{"observed_at":"2026-08-07T12:52:43.732003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:43.341850Z","title":"Wolke,Grosse Differenzen zwischen aufeinanderfolgenden Primzahlen, Math","venue":null,"work_id":"184edc21-0e94-4e6b-88b6-43865beb7dbe","year":1975},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:42.260882Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:332c31d3cad7468ef2273e0d39e9f40aa33ae0988079781be6b7d07a26776671","observation_id":"33cf0e9b-b146-4feb-99c6-f9e3948bb2fa","resolution":{"observed_at":"2026-08-07T12:52:43.434548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:52:43.028645Z","title":"Yu,The differences between consecutive primes, Bull","venue":null,"work_id":"817bd7af-1d74-4578-8c93-2c2df7121a38","year":1996},"citing_paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:42.415157Z"},"links":{"citing_paper":"/paper/2505.24017"},"observation_digest":"sha256:3cce0d421fd7df9c3ff967f7000eb7eafd2e847b46845fdacda98079f26bf301","observation_id":"b0b5dcb9-b7cf-4cdf-ab7b-33a62c21275c","resolution":{"observed_at":"2026-08-07T12:52:43.186750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.24017","last_updated":"2025-05-29T21:36:29Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-15T02:42:01.441306Z","submitted_at":"2025-05-29T21:36:29Z","title":"On the number of exceptional intervals to the prime number theorem in short intervals"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":38},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2505.24017."}