{"as_of":"2026-08-12T21:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6cbdd5aabd52bfe9734524a58a9428f3466a2b3639d2de9059ea4da0c9301d6e","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:34:26.775395Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2412.15481/citation-record","integrity":"/paper/2412.15481/integrity","json":"/paper/2412.15481/citation-record.json","paper":"/paper/2412.15481"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:27.052165Z","title":"Arias de Reyna and B","venue":null,"work_id":"2ada32dc-ad52-41d7-a477-16b04129a4c1","year":2024},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.699022Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:fac748c1825f0e861c878c0ede3e3b590f4497e181f2f76d257a3cfe7606d742","observation_id":"1f9b15ff-f3c8-40bc-9e5d-c6cc012f8e52","resolution":{"observed_at":"2026-08-11T11:34:27.058491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:27.033696Z","title":null,"venue":null,"work_id":"7094264e-0a37-401e-b0ae-de77613908e0","year":2016},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.706359Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:c8b2f7b47667f1fb842c411d019219d1a3945249272770478c9ea900fc58f840","observation_id":"30c77a0d-d78b-40a8-b699-2d13440e71f9","resolution":{"observed_at":"2026-08-11T11:34:27.039093Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:27.014819Z","title":"Conrey and H","venue":null,"work_id":"b5bf0963-a4be-4191-be28-8d2af3fb65ef","year":2002},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.712367Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:e26f883bb1ce0220cc88dbaffb49bcf1d73b73cbafdebd6dc2a55c0516837f53","observation_id":"dd883ca9-64f4-460e-a546-3c54d4680b63","resolution":{"observed_at":"2026-08-11T11:34:27.020705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.997731Z","title":null,"venue":null,"work_id":"ac42abab-5f83-4abb-a5e6-eb62dc7ab5ee","year":2018},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.718468Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:a59f001e5cba2b217a90b29adf3fb621ba6f5db0c803aaf0d391348dc7fcb321","observation_id":"96654169-8b17-4e7d-b88c-9c38a44f226a","resolution":{"observed_at":"2026-08-11T11:34:27.003107Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.977466Z","title":"Davenport, Multiplicative Number Theory , Graduate Texts in Math","venue":null,"work_id":"2f2dfcd0-e8c7-46cf-b457-42f24c5536fa","year":1980},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.724176Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:5d3f5945828a0f850e043d3d9ca3f4a49ece4590e85dd1bcc5ab8a0acb772558","observation_id":"8491c217-f297-45ee-b7ca-f278607276b5","resolution":{"observed_at":"2026-08-11T11:34:26.985551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.959898Z","title":"des Cloizeaux and M","venue":null,"work_id":"4d154c4f-6b3d-405c-94a4-bb8293f7d34c","year":1973},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.730269Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:3aa14bf82e5ea8123cf56796d7974502c5f4557a804f2adcb051b68d4c640671","observation_id":"1797dc16-8543-4e7b-80c9-cec903fa9ca8","resolution":{"observed_at":"2026-08-11T11:34:26.965194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.940708Z","title":"Fujii, On the distribution of the zeros of the Riemann Zeta function i n short intervals , Bull","venue":null,"work_id":"946d18e4-4da4-49b0-8088-9b1a3ef32119","year":1975},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.736969Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:bc59ea19a254108c0580ba567f4426039d71b397142c2bca2a0786794fc8279a","observation_id":"30c09d7d-802e-4277-a948-da79871dbb98","resolution":{"observed_at":"2026-08-11T11:34:26.946877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.922424Z","title":null,"venue":null,"work_id":"c1b63cfe-a3c9-4a21-8cab-833d31281619","year":2014},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.742043Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:6ffbeb3f6b477c0a65813e5c160347f52fc0eec9e462aa9c0099d9fc7e7910f8","observation_id":"1cda18bc-3375-4df8-a740-8a9ce4ce09b4","resolution":{"observed_at":"2026-08-11T11:34:26.928058Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.901584Z","title":null,"venue":null,"work_id":"d224a3e8-d5ba-43b6-8dc8-c2ea515d050a","year":1972},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.747832Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:3896b9f90bbc5cd8788f4ac5f41a13d08fdfa1e982f795431f02b7ac88acde11","observation_id":"b61d3fb7-044e-44c9-b79c-895f9e4cc681","resolution":{"observed_at":"2026-08-11T11:34:26.908434Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.881965Z","title":null,"venue":null,"work_id":"e721bc6a-ac4c-48a1-b38f-2f27f6fabc6b","year":2004},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.753148Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:d2b80ac3fcee7c1cc9162bd7a17572d6fb8a1a8e65a2051382205d58eccbf201","observation_id":"302d5ca7-e6d0-4a8b-b052-5dfb285f104f","resolution":{"observed_at":"2026-08-11T11:34:26.887317Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.863304Z","title":null,"venue":null,"work_id":"22830f2c-4626-4fc0-bd46-c5bb8b46b7e8","year":1987},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.758940Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:af8d3d952690c89cd9a5884422c7f1a59110f281f3f1563c3084bec5eb33badc","observation_id":"a211c5d2-6dc0-4224-b65f-3f08cc46896b","resolution":{"observed_at":"2026-08-11T11:34:26.868661Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.846444Z","title":"Rodgers and H","venue":null,"work_id":"3849d1ab-db28-491d-89f3-09df47e0683c","year":2024},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.764406Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:e2eb3c9d736711101ef9daf17029e58fdfc80e346b6ec63b457d8c99a9f343d5","observation_id":"e6612896-3f4d-441c-a3b9-299dda24d43a","resolution":{"observed_at":"2026-08-11T11:34:26.851714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.828917Z","title":"Rudnick and P","venue":null,"work_id":"247a6986-d3ef-45f8-8c29-d3b324ae9c38","year":1996},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.769798Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:62ad068620e473491171a16cc64cbf1b129887dd3b3e27e0ab6378526422ffd2","observation_id":"2e3e24b1-e13a-4fad-826c-2bc8a6f88b39","resolution":{"observed_at":"2026-08-11T11:34:26.834366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:34:26.809272Z","title":null,"venue":null,"work_id":"e50b610d-2abd-4a67-aca6-df8a26c2b80c","year":1986},"citing_paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T11:34:26.775395Z"},"links":{"citing_paper":"/paper/2412.15481"},"observation_digest":"sha256:a8805b7963689a42110840b11718a032f1c3cafac56110573d6b0e895ae122b0","observation_id":"ad994ef1-198e-440b-92a0-a70cfee94fd4","resolution":{"observed_at":"2026-08-11T11:34:26.815753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.15481","last_updated":"2024-12-20T01:23:51Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-11T11:21:36.034746Z","submitted_at":"2024-12-20T01:23:51Z","title":"Consecutive moderate gaps between zeros of the Riemann zeta function"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":14},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2412.15481."}