{"as_of":"2026-08-19T03:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aa7b9ad5bccb7ad44ddcf0a2f6bb80b8378c858be68e1b58eb5401c5270775e8","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T20:37:02.893667Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2502.05106/citation-record","integrity":"/paper/2502.05106/integrity","json":"/paper/2502.05106/citation-record.json","paper":"/paper/2502.05106"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T20:37:03.241648Z","title":null,"venue":null,"work_id":"14ae7c33-8c58-4b08-ab0f-e140b920668f","year":1956},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.794782Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:b2bee9b676d2aa8cf3efa971f6d54a0c9b0dd6666b73bdbda41f8cc31ee467e1","observation_id":"fab24e37-30eb-433e-9003-37563e42feba","resolution":{"observed_at":"2026-08-08T20:37:03.246146Z","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":"2026-08-08T20:37:03.226643Z","title":"Barrett, B","venue":null,"work_id":"ee4149ff-12b9-4983-8a7c-5fb85e015a84","year":2015},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.800703Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:8b9affbd0921d29de514e2cfda2d3d4b9542d9f79465cb07ad0cfa6c91e9a08c","observation_id":"dbeb2668-1a64-4b58-ac42-f1229cfdf55b","resolution":{"observed_at":"2026-08-08T20:37:03.231307Z","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":"2026-08-08T20:37:03.211784Z","title":"Carneiro, V","venue":null,"work_id":"866032e2-da25-48f0-960c-ac1602389c5e","year":2022},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.805644Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:c6fa8987675445170ea27a944650f4200f5b3d8c01fb40e10bda2a9f026279de","observation_id":"f480bbfd-e7c9-4fdb-b7f8-4c92562553fc","resolution":{"observed_at":"2026-08-08T20:37:03.216537Z","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":"2026-08-08T20:37:03.197446Z","title":"Carneiro, V","venue":null,"work_id":"7b61c090-8df1-4112-8ad0-3bfb322978d5","year":2017},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.810530Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:648ce59d9aa6427a0b8dc6d7d0f35182d4f13bc8b77bab914e3f9b8f0deb74f8","observation_id":"f6ced4f4-92b3-4a05-ae85-845ee99e23f7","resolution":{"observed_at":"2026-08-08T20:37:03.201965Z","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":"2026-08-08T20:37:03.182709Z","title":"Carneiro, M","venue":null,"work_id":"5a965ef4-25af-4353-bbd1-23b07a9ae940","year":2025},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.815688Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:6130ee0cc3816de933d1bed9a05319bea99163f989196a4f0d950a0cf671a4aa","observation_id":"0492f18c-1b7c-4982-a798-8a31b65a42b4","resolution":{"observed_at":"2026-08-08T20:37:03.187242Z","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":"2026-08-08T20:37:03.167710Z","title":"Chandee, K","venue":null,"work_id":"02d1eb8d-b4c9-4cde-887b-c3b28b961eec","year":2022},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.820566Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:bcb0d5dfd2bc8dc1041bb7e51a8738030ae110890335f5ad1c78918fa572588b","observation_id":"e26bec11-bd44-4245-a55c-f27467812ed8","resolution":{"observed_at":"2026-08-08T20:37:03.172385Z","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":"2026-08-08T20:37:03.152913Z","title":null,"venue":null,"work_id":"94e96669-febe-49b0-992b-87fc78185b4e","year":2003},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.825785Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:b79e8882131cdb0758521fdfdffa4b11ed21bd2dc91c490fe6ccf102af30875b","observation_id":"07dc657e-d811-48dc-8c4b-740a82f951e7","resolution":{"observed_at":"2026-08-08T20:37:03.157746Z","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":"1908.04876","last_updated":"2019-08-13T22:19:01Z","snapshot_observed_at":"2026-08-18T02:28:32.438637Z","submitted_at":"2019-08-13T22:19:01Z","title":"Pair correlation for Dedekind zeta functions of abelian extensions","version":1},"cited_work":{"arxiv_id":"1908.04876","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.04876","snapshot_observed_at":"2026-08-08T20:37:02.930695Z","title":"Pair correlation for Dedekind zeta functions of abelian extensions","venue":"math.NT","work_id":"82b6aaac-f6c3-44b4-b02a-9496b195bcc9","year":2019},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.830296Z"},"links":{"cited_paper":"/paper/1908.04876","citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:df4f8b6ab574409752ab40d6311e7c11ca6b2da3554b0e8639dd719b54ea225b","observation_id":"4d6190c0-c461-4e50-8f5a-161ddc986aa4","resolution":{"observed_at":"2026-08-08T20:37:02.938665Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T20:37:03.137819Z","title":null,"venue":null,"work_id":"5f65a686-4bd6-4a64-b6c9-8fef8905784d","year":2014},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.835275Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:64e6f85d23bde828d316dd29f1b83e39a2e4fdecb5b0ca767b8a508589e83509","observation_id":"5d7d9d17-b98b-4bf6-bc97-c91452d13675","resolution":{"observed_at":"2026-08-08T20:37:03.142788Z","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":"2026-08-08T20:37:03.122682Z","title":null,"venue":null,"work_id":"757be06a-9578-474f-9320-d8d57276ac4d","year":2003},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.839865Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:b8ed1454863b4c2f4cf8abd3b38c8a2e4f57b8782f896b48e9fb530e60b805e3","observation_id":"b580ba28-2a36-4e43-883d-6a10caa8ed01","resolution":{"observed_at":"2026-08-08T20:37:03.127270Z","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":"2026-08-08T20:37:03.107637Z","title":null,"venue":null,"work_id":"787ed5cc-883f-4255-be73-983fe7d10ec9","year":1987},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.844611Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:f9b89e5e12259b225902f8eabc029732a47ceaecf8cdddc854e10be3736d45ad","observation_id":"ebdceefd-7587-44a7-9a1d-6af82546bbb9","resolution":{"observed_at":"2026-08-08T20:37:03.112384Z","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":"2026-08-08T20:37:03.092419Z","title":null,"venue":null,"work_id":"e61ee4ca-984c-44a9-839e-b075ce4aa38a","year":1988},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.849505Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:b1177da1a10c67cbd3073af33483f27549ee53473cfa50a513a7c4cb9a864a45","observation_id":"0205c8a0-905a-4047-9214-c807839dcef9","resolution":{"observed_at":"2026-08-08T20:37:03.097207Z","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":"2026-08-08T20:37:03.077061Z","title":null,"venue":null,"work_id":"90903f1b-9b7b-4599-b131-e3b2c39db325","year":1990},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.854537Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:e8cffdcda7ee3c457745698847742aaad2ad1973383289771a4856316aaa012e","observation_id":"f3e84590-d96b-4f28-ba5d-78c9883218fa","resolution":{"observed_at":"2026-08-08T20:37:03.081856Z","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":"2026-08-08T20:37:03.062022Z","title":null,"venue":null,"work_id":"09e53290-f201-4f0e-819d-3b02578e82c9","year":1987},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.859338Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:49ae3b3eb26ef26502b942f03a68c02d8382f5924890e50357b6f8bd0e9e2fb8","observation_id":"ba4a5c66-5993-4e53-8982-9f2582b2fa5b","resolution":{"observed_at":"2026-08-08T20:37:03.066597Z","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":"2026-08-08T20:37:03.047497Z","title":null,"venue":null,"work_id":"c28bc387-69a6-4ce5-be7f-c6e35d0d1ce2","year":2018},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.864152Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:79b9e459cd8c06b3b10f29bc955180326fb10829a14ba0ac4db60f07f7005db1","observation_id":"bea09e62-fc81-4755-a4ae-19385dc0fae3","resolution":{"observed_at":"2026-08-08T20:37:03.052158Z","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":"2026-08-08T20:37:03.032598Z","title":"Ki, On the zeros of sums of the Riemann zeta function, J","venue":null,"work_id":"1c23df59-2f7a-4ba6-8050-c8d314f30a2e","year":2008},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.869112Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:893bddbb18b4676ea407d2b29ba0dc1f091efa08bc9dbc8645dd5d278922bcfd","observation_id":"d95253d0-3b2d-4a2a-8af0-d5a3fb0bfd96","resolution":{"observed_at":"2026-08-08T20:37:03.037544Z","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":"2026-08-08T20:37:03.015320Z","title":"Karabulut, C","venue":null,"work_id":"6a2bf7de-3f19-4957-a7cd-e1491dbfe894","year":2017},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.873944Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:75323d75a7e3ecf33c4c29fe91f669901dd90d920e115514bb7d5bc9e2bcb027","observation_id":"ef2cb767-20b7-4bbf-96b5-c1944de4d71a","resolution":{"observed_at":"2026-08-08T20:37:03.020738Z","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":"2026-08-08T20:37:02.999906Z","title":null,"venue":null,"work_id":"70bcebd1-6569-4259-8d82-6d76627ccf9d","year":1972},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.879049Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:ec4e086fdd9720c5a99472f7b20df99038d11c0c82345c43d320f7c5e2614df3","observation_id":"734308c8-ed2f-412d-bc01-a055b031010f","resolution":{"observed_at":"2026-08-08T20:37:03.004861Z","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":"2026-08-08T20:37:02.983728Z","title":null,"venue":null,"work_id":"293a4981-b26d-4851-9aed-c9bd4a44f28d","year":1974},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.883863Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:16e0935547942798abff5433ba0228b06dc9281f720ae2103248e220517dc03c","observation_id":"e91e7ceb-5da8-4753-977d-167ae295ca2b","resolution":{"observed_at":"2026-08-08T20:37:02.989059Z","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":"2026-08-08T20:37:02.967626Z","title":null,"venue":null,"work_id":"73f178e6-c212-457c-bf2a-f4419709d7a9","year":1999},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.888809Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:9822209f4b27908bf781ede3e9a13f75a984e603aacf41a79cc00537951699d4","observation_id":"bf88ee75-631a-439b-9915-b9df60cf9e40","resolution":{"observed_at":"2026-08-08T20:37:02.972307Z","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":"2026-08-08T20:37:02.951253Z","title":"Selberg, Old and new conjectures and results about a c lass of Dirichlet series, Proceedings of the Amalﬁ Conference on Analytic Number Theory (Maiori, 1989), Salerno: Univ","venue":null,"work_id":"d7920d48-5479-48cd-b8e0-6ace21f925f0","year":1991},"citing_paper":{"arxiv_id":"2502.05106","last_updated":"2025-02-07T17:27:45Z","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T20:37:02.893667Z"},"links":{"citing_paper":"/paper/2502.05106"},"observation_digest":"sha256:995dba2141cb19946376faff7ef3e0b0a55b6b862a1ddc0ac1e058e470b0c416","observation_id":"3a068d7c-84e4-4b27-8c37-6f50fe0710ee","resolution":{"observed_at":"2026-08-08T20:37:02.956809Z","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":"2502.05106","last_updated":"2025-02-07T17:27:45Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-14T00:46:14.122353Z","submitted_at":"2025-02-07T17:27:45Z","title":"Fourier optimization and pair correlation problems"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":1,"verified_fuzzy":8},"total_outbound_references":21},"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 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2502.05106."}