{"as_of":"2026-08-19T22:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c8e49854e1915634f6acfdf186ff6665047d8908648238dc76bfdc9ed1ecf631","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:44:49.616715Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2608.11611/citation-record","integrity":"/paper/2608.11611/integrity","json":"/paper/2608.11611/citation-record.json","paper":"/paper/2608.11611"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:44:50.219731Z","title":null,"venue":null,"work_id":"b432ce4e-171f-48a3-a7d9-c05efbfeace2","year":2014},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.461378Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:9bb95bec815f12fe57fec9b3774e04c2ecec292346dbba7f867403b4a9bf7552","observation_id":"59088338-9faf-4e1e-9a56-a0d23524274b","resolution":{"observed_at":"2026-08-16T00:44:50.224803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.202570Z","title":null,"venue":null,"work_id":"2539f572-27a0-4e2c-8eaa-93ac0e2f1a0c","year":2019},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.468800Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:8c606c649e57d86ee30436317577a2245dba2c3409c7b978e2047f615df5ea98","observation_id":"e5024fb7-7fe9-4042-880a-61c999ac4429","resolution":{"observed_at":"2026-08-16T00:44:50.207944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.184700Z","title":"Baier and M","venue":null,"work_id":"8eee802f-27ad-431f-85b6-7599bcc1d3d9","year":2010},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.475578Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:7c886f984e017c675b70660bf6417faeb41320d71368c37ac89a0eff140a1f3f","observation_id":"c3ef8498-76e7-479d-b3c7-8ddcffdd0503","resolution":{"observed_at":"2026-08-16T00:44:50.190172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.165891Z","title":"Bary-Soroker and P","venue":null,"work_id":"abe57cce-1b1d-438e-9b86-32c633719f24","year":2019},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.480895Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:12761b8e8f749afe74bbef76ffae62997d75f8e0731a30eb04200a1fb31c778c","observation_id":"47ceca86-af36-4148-b1ce-2ddbf4e5d27e","resolution":{"observed_at":"2026-08-16T00:44:50.172220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.145995Z","title":"Bucur, E","venue":null,"work_id":"88240887-5127-46bb-a8e8-398eca1f370a","year":2018},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.486954Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:37a489df9b1f060e9d6ca6bf81a867357759ce8b26d534e9bcf416b36b5c1cc3","observation_id":"e451104c-6444-42a5-9170-b011d3e3201e","resolution":{"observed_at":"2026-08-16T00:44:50.152744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.126234Z","title":null,"venue":null,"work_id":"afe612de-9b22-4889-93d4-9f1997391408","year":2018},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.491897Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:1541cacc05c6323b833f7acbbeb48c211ff16e82cddab093c0eacd9ab9ca0405","observation_id":"95efd490-6bdd-4f73-ae30-895edb365917","resolution":{"observed_at":"2026-08-16T00:44:50.131650Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.105268Z","title":null,"venue":null,"work_id":"8789743d-a80a-47d5-8fa5-d0935308ae20","year":2020},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.497461Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:0cfc460aee1f45eb9d0cb02d2a05d2e77039370accc72d36479a28f4c150e98b","observation_id":"1a78c8f2-97a3-40cf-84e1-694647e6e152","resolution":{"observed_at":"2026-08-16T00:44:50.110870Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.082131Z","title":"Chandee, On the correlation of shifted values of the Riemann zeta function, The Quarterly Journal of Mathematics , 62 (2011), pp","venue":null,"work_id":"868ed0d3-5f10-4357-8cc7-2c72b6182e4b","year":2011},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.503224Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:977d5a0c15905daff343617e90f39617e901a90e4f4d6e2234bc487f3fa4feae","observation_id":"74fc926a-81ec-455e-886e-9f940cb9b031","resolution":{"observed_at":"2026-08-16T00:44:50.088246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.064528Z","title":null,"venue":null,"work_id":"bc623355-b357-4781-9705-900485903c73","year":2005},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.507988Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:360d1d7da6b08182a7903a00cc85458ee510c46dd88020d08ba81eb54080f774","observation_id":"d131b3c4-9185-4410-bfb1-96233f5a2ee9","resolution":{"observed_at":"2026-08-16T00:44:50.069881Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.042042Z","title":"Darbar and G","venue":null,"work_id":"ff901240-50e0-4016-a14b-7910aa6a06d8","year":2021},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.512774Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:30880e4a4df2db451ab078655a94a35e30336ee27ff3a5cb07f1678d45ed7d8c","observation_id":"3ebb3694-3983-499a-8275-d477c055ca88","resolution":{"observed_at":"2026-08-16T00:44:50.048283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.020655Z","title":"David, A","venue":null,"work_id":"e2b1befc-3817-4274-a3dd-219c9271bc1d","year":2021},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.517563Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:477da2a2e92b553d1144ff897ef4878f63063b425121338ff82340b3a0706980","observation_id":"9d231d38-14e5-4ff0-9e98-e122025fe6fe","resolution":{"observed_at":"2026-08-16T00:44:50.026392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:50.003045Z","title":"David, A","venue":null,"work_id":"4a4c5e80-e8a6-4ab2-85c4-ad9790335f58","year":2022},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.522385Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:d9b30816f4095efa503b176e0bed835f74c0dd203ae89961685ed611e28bebd1","observation_id":"d95268c5-1ef5-4a81-a237-bc64081b776e","resolution":{"observed_at":"2026-08-16T00:44:50.009388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.07815","last_updated":"2025-06-09T14:43:47Z","snapshot_observed_at":"2026-08-07T05:22:05.079670Z","submitted_at":"2025-06-09T14:43:47Z","title":"Nonvanishing of $L$--functions associated to fixed order characters over function fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.07815","snapshot_observed_at":"2026-08-16T00:44:49.527573Z","title":"David, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.527573Z"},"links":{"cited_paper":"/paper/2506.07815","citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:1d8b1c251c93d5999073a6d06e5562427328d82c59d1a1fa5211940f8b8064d0","observation_id":"a6f969d1-5bcc-4e58-94bf-f37b28a2cf2a","resolution":{"observed_at":"2026-08-16T00:44:49.527573Z","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":"2026-08-16T00:44:49.983455Z","title":"Diaconu, Mean square values of Hecke L-series formed with r-th order characters, Invent","venue":null,"work_id":"08f8e567-3fc1-479f-9ed4-2b35122a4ff1","year":2004},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.532943Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:3620d0ad6fa4c4435622bb7de2b82a5c801c10ecec018f08bff63c9293d8d65c","observation_id":"6fa535e1-47f9-43e3-8272-d8fbfb7a5b7b","resolution":{"observed_at":"2026-08-16T00:44:49.989064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.965872Z","title":"Florea, Improving the error term in the mean value of L(1/2,χ ) in the hyperelliptic ensemble, Int","venue":null,"work_id":"fd4ba0aa-b41a-40c4-9a51-3ca2d0e6ad0d","year":2017},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.538190Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:0b44a45ce00559dba5b402155f1fd13f8185ebf349e2ad6642fd1bc7849b2a3e","observation_id":"00aa49f8-7015-4947-a4f4-a1acc775782e","resolution":{"observed_at":"2026-08-16T00:44:49.971227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.947732Z","title":"Florea, The second and third moment of L(1/2,χ ) in the hyperelliptic ensemble, Forum Math., 29 (2017), no","venue":null,"work_id":"237266de-4062-4ec1-9a08-93a87e05351c","year":2017},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.543293Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:6dd61dea0add73941b814cffe041cf2dc3bfc6dcacf9bb441bc8b6d588cf16d1","observation_id":"abfe5ecd-8cde-4599-a3c8-3c8f63041bf3","resolution":{"observed_at":"2026-08-16T00:44:49.954495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.930104Z","title":"Florea, The fourth moment of L(1/2,χ ) in the hyperelliptic ensemble, Geometric and Functional Analysis, 27 (2017), no","venue":null,"work_id":"7d32a306-f5ed-48a5-ac94-e7c34c3f4ea5","year":2017},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.548531Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:ab2b780c43f184cec10bd5e10af1cee758edd8f54bfaf452d317934aff319f78","observation_id":"0d258cde-52e5-46f2-9058-032c48ca450a","resolution":{"observed_at":"2026-08-16T00:44:49.935907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.911613Z","title":"Friedberg, J","venue":null,"work_id":"d8bb4443-f281-4711-b2b4-061d9bc48786","year":2003},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.553328Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:897fade44c616a6c48bb33a17a0fb0e347fbda8eb4197b1556245799875a6435","observation_id":"bfec3c20-c8b4-4721-b34f-4f22dad48967","resolution":{"observed_at":"2026-08-16T00:44:49.917665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.12015","last_updated":"2025-05-26T16:14:16Z","snapshot_observed_at":"2026-08-15T20:40:42.826111Z","submitted_at":"2025-05-17T14:09:58Z","title":"The second moment of cubic Dirichlet L-functions over function fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.12015","snapshot_observed_at":"2026-08-16T00:44:49.558049Z","title":"Goel and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.558049Z"},"links":{"cited_paper":"/paper/2505.12015","citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:da7ca0711b1f84814b87e4d316836f0b1fd5de257bea9e8631e23ebe0dd8930d","observation_id":"4400b2ce-9ffe-4375-8779-b3ad92914b69","resolution":{"observed_at":"2026-08-16T00:44:49.558049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.4618","last_updated":"2013-05-20T19:41:52Z","snapshot_observed_at":"2026-08-15T00:17:14.425846Z","submitted_at":"2013-05-20T19:41:52Z","title":"Sharp conditional bounds for moments of the Riemann zeta function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.4618","snapshot_observed_at":"2026-08-16T00:44:49.562976Z","title":"Harper, Sharp conditional bounds for moments of the Riemann zeta function, preprint 2013, arXiv: 1305.4618, http://arxiv.org/abs/1305.4618","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.562976Z"},"links":{"cited_paper":"/paper/1305.4618","citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:a65764fc364b3688bee839578e8a5f69e2562ebd43f006b1fc30bd8f7cb3dcc9","observation_id":"6d136945-2393-4b1e-9d37-bb4437ebbc3d","resolution":{"observed_at":"2026-08-16T00:44:49.562976Z","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":"2026-08-16T00:44:49.894818Z","title":null,"venue":null,"work_id":"c42bfcd7-d533-4db2-8a32-46ea99e094c2","year":2014},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.568164Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:f4a90baad4b352eb728e7ed099b30f8566c0766351a88b9eba9f25e5af97a424","observation_id":"5f0f05fe-92ea-4e73-bfbc-5efe64bf9ff8","resolution":{"observed_at":"2026-08-16T00:44:49.899712Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.876849Z","title":null,"venue":null,"work_id":"bad7be6b-9542-4756-8adf-1524506837e2","year":2000},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.573087Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:98b37b4e29e9b45fac413f99b65c9af5591bc3c3437d550e630fc31055a5855d","observation_id":"2ff7c1ef-4b8d-425c-8aa0-56d1cafc968a","resolution":{"observed_at":"2026-08-16T00:44:49.882591Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.857738Z","title":"Kirila, An upper bound for discrete moments of the derivative of the Riemann zeta-function, Mathematika, 66 (2020), no","venue":null,"work_id":"32452616-7e98-473f-8de1-313aa79b1a7d","year":2020},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.577545Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:f7d957b2222c6f891b771ef2f0e9955dd658ac9d2110365abd48ea66fdab83af","observation_id":"bf7b3f45-7473-4538-93e9-150e81a29304","resolution":{"observed_at":"2026-08-16T00:44:49.864922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.840519Z","title":"Luo, On Hecke L-series associated with cubic characters, Compos","venue":null,"work_id":"0b93bcde-a64b-4b3a-969f-49feebefd51b","year":2004},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.582412Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:eeb7129afb66bb7f89fed2292b418c0293736fd26de36c83fedfa492f3620207","observation_id":"665454df-5329-4c57-9aa7-4d8a4941e437","resolution":{"observed_at":"2026-08-16T00:44:49.845762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.822245Z","title":null,"venue":null,"work_id":"fa95e405-5c93-4811-bfc8-eb21f05ab5f7","year":2024},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.587103Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:4d4979bb2f2a4df2bf9ce4a080cdfcbf950255daa35fc23a47aba8e748eeabc1","observation_id":"7b498508-abc5-4606-9762-184260098b12","resolution":{"observed_at":"2026-08-16T00:44:49.826973Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.804724Z","title":"Rosen, Average value of class numbers in cyclic extensions of the rational function ﬁeld, Number theory (Halifax, NS, 1994), CMS Conf","venue":null,"work_id":"74f260e4-5575-49de-b29c-85346828300b","year":1994},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.591832Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:0ac99eb76ef0a3f94d8fc5061672317bbbff1970476fe5438bd7d75f0e5f6cb0","observation_id":"09699838-8696-4d80-a30c-d65c8e2a63ab","resolution":{"observed_at":"2026-08-16T00:44:49.810683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.785966Z","title":"Rosen, Number theory in function ﬁelds, Graduate Texts in Mathematics , 210 (2002), Springer-Verlag, New York","venue":null,"work_id":"b4dee8ed-acc7-4cc7-88f9-e3122d134265","year":2002},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.596873Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:676d48b5d7272863c7581c0c51cbb679fa68518087bf25964a27a72988be7878","observation_id":"cb83fe51-e872-40b5-ae21-7fa7b7203278","resolution":{"observed_at":"2026-08-16T00:44:49.792166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.768422Z","title":"Shen, The fourth moment of quadratic Dirichlet L-functions, Math","venue":null,"work_id":"c1c5be78-5e6b-44ad-a152-4f94b10f845f","year":2021},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.602332Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:cc9743bc35bff9b55bbd785f13fd31b6b87b1066be0781af170bf9041abfe451","observation_id":"ec15a832-d17a-4f31-a40f-65d81b98d3de","resolution":{"observed_at":"2026-08-16T00:44:49.773708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.749148Z","title":"Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1/2, Ann","venue":null,"work_id":"4febe63a-5c23-443a-aaa2-bc369ce443fb","year":2000},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.607232Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:9b21649db94af86c6e1bc683b4ee5b1731493cdde552d92b8b48e72e2fb7c415","observation_id":"f61f2417-7177-4f4b-a1a0-1f8f9498f889","resolution":{"observed_at":"2026-08-16T00:44:49.755770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.727988Z","title":"Soundararajan, Moments of the Riemann zeta function, Ann","venue":null,"work_id":"0169c4ca-d1fb-4168-9ffb-b7acf7ea5553","year":2009},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.612029Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:28d095772a60748163c77da7ae5e18cee0b9f0a68dd94c0aa6589a8407a69716","observation_id":"c2e7a5e6-d69f-44b8-a491-3c441c6a32ce","resolution":{"observed_at":"2026-08-16T00:44:49.734078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-16T00:44:49.707329Z","title":"Weil, Sur les courbes alg´ ebriques et les vari´ et´ es qui s’en d´ eduisent,Actualit´ es Sci","venue":null,"work_id":"3afbfe2e-f0fd-495f-9cdf-7034a1df47b3","year":1948},"citing_paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T00:44:49.616715Z"},"links":{"citing_paper":"/paper/2608.11611"},"observation_digest":"sha256:e3633bc21551157840566d85b3ab00e5df566c3e5e4172e3938bcd1e5389e52e","observation_id":"431560fd-3fb8-484f-9377-ad88c39941c2","resolution":{"observed_at":"2026-08-16T00:44:49.714879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.11611","last_updated":"2026-08-12T03:41:15Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-18T15:52:22.822723Z","submitted_at":"2026-08-12T03:41:15Z","title":"Upper bound for the moment of shifted values of cubic $L$-functions over function fields"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":20},"total_outbound_references":31},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.11611."}