{"as_of":"2026-08-18T17:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3cbd7d7ca2fd8d88cf4f6217a36f298bdff99dc8fb384253e03809d460d561db","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:40:49.076031Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"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/2504.12160/citation-record","integrity":"/paper/2504.12160/integrity","json":"/paper/2504.12160/citation-record.json","paper":"/paper/2504.12160"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:49.601466Z","title":"Error estimates for the Davenport-Heilbronn theorems","venue":null,"work_id":"11f82cec-5798-464c-86d2-3f10c859e3b5","year":2010},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.828876Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:68d2a314298b9b312fc55e48ea783e08783e7cfbcb062f9c697a5abd6230b96f","observation_id":"4afd5e3d-671a-4248-8965-65f93e29226f","resolution":{"observed_at":"2026-08-16T12:40:49.607335Z","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":"2026-08-16T12:40:49.587332Z","title":"On the Davenport–Heilbronn theorems and second order terms,","venue":null,"work_id":"3e4324dc-61f7-45e0-819a-a07b42269e1d","year":2013},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.834246Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:7fabee60e4a0a98ee629502abb7cb996e09dc464379c82827422f709e2197423","observation_id":"c7c53996-4efb-4719-8220-f80d4c9337d1","resolution":{"observed_at":"2026-08-16T12:40:49.592962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:48.838978Z","title":"Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.838978Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:8bad1f38ca4760393a263213e4a27260619a2bea2b894563bf0d2d3dc381f22a","observation_id":"6b7ec844-1e14-44bc-9760-ede81952b5ad","resolution":{"observed_at":"2026-08-16T12:40:48.838978Z","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":"2026-08-16T12:40:49.572560Z","title":"Improved error estimates for the Davenport–Heilbronn theorems,","venue":null,"work_id":"aed858b0-e2e5-450e-adf1-cd9203e8710b","year":2024},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.843810Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:3663ed9cc95414964b5ae964cd24004080460a4f944843835ae3bc6996461ec6","observation_id":"8167cf8d-51f9-4d45-a009-9a4039086220","resolution":{"observed_at":"2026-08-16T12:40:49.578303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.10446","last_updated":"2024-01-26T21:44:17Z","snapshot_observed_at":"2026-08-16T15:23:05.803608Z","submitted_at":"2023-06-18T00:46:33Z","title":"Hurwitz spaces, Nichols algebras, and Igusa zeta functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.10446","snapshot_observed_at":"2026-08-16T12:40:48.848646Z","title":"Hurwitz spaces, Nichols algebras, and Igusa zeta functions,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.848646Z"},"links":{"cited_paper":"/paper/2306.10446","citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:7e6696a275ab861bfd3bfbdcf3966975f5bc039ed6991a23d9dcdd37699c8132","observation_id":"81754d09-c8fe-42a8-8dd2-b0e2e360e545","resolution":{"observed_at":"2026-08-16T12:40:48.848646Z","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":"2026-08-16T12:40:49.559396Z","title":"Omega results for cubic field counts via lower-order terms in the one-level density,","venue":null,"work_id":"15dcef81-4b84-49a1-b9fc-923df6b4707f","year":2022},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.853250Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:1520d961c2c557b680192023d7f3140b42df7ac62f2d6f0deb171750536812b7","observation_id":"767de85b-5c3c-4311-b197-0910b1208a35","resolution":{"observed_at":"2026-08-16T12:40:49.563834Z","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":"2026-08-16T12:40:49.544553Z","title":"Low lying zeros of Artin L -functions","venue":null,"work_id":"78bb3f81-2653-466a-867f-402cc81baca1","year":2015},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.858700Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:718277a01cf76eb48f8a62b88929c8518fabf462603256d4da0fc4a248b9f0a3","observation_id":"592f84d6-0583-495c-8252-bf48d38d5540","resolution":{"observed_at":"2026-08-16T12:40:49.549853Z","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":"2026-08-16T12:40:49.529019Z","title":"On the density of discriminants of cubic fields. II,","venue":null,"work_id":"879f5d84-c521-4eed-b482-82b74046ed62","year":1971},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.863935Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:1750c6d6289c580b378e3af57b17af4e461d21b19abb613ca90200dc979f8494","observation_id":"9c4e483a-5c2d-448a-b2aa-a640b6335eec","resolution":{"observed_at":"2026-08-16T12:40:49.533464Z","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":"2026-08-16T12:40:49.514186Z","title":"Density of discriminants of cubic extensions,","venue":null,"work_id":"69809c87-fec9-45e1-8713-131e4f5af20d","year":1988},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.868101Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:b5473c20b568db49b69eb072e2774928a205ba26308ce90e02488bf5f96f5a22","observation_id":"82d8342a-3cba-4b92-ba47-c74bb6da6a1b","resolution":{"observed_at":"2026-08-16T12:40:49.519287Z","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":"2026-08-16T12:40:49.497847Z","title":"van Frankenhuijsen, The Riemann hypothesis for function fields, London Mathematics Society Student Texts vol","venue":null,"work_id":"42ef5b1b-c5f1-41f3-a739-1925f1342e7e","year":2014},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.872279Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:5c0ac4224172a03843c3b948ea9743ca2fa4794a96ad31cb996892a9d3dcc0ce","observation_id":"7aa07a63-c0b0-4157-9aca-852af67fbce6","resolution":{"observed_at":"2026-08-16T12:40:49.503495Z","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":"2026-08-16T12:40:49.482195Z","title":"The shape of cubic fields,","venue":null,"work_id":"f774b35a-d983-484b-9426-26e99f1b27d3","year":2019},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.876573Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:c6ebd343754ad5a233141b5804774b73eeb26f5ba044a908e8777f351e652ded","observation_id":"97134066-46b5-41c5-b068-1fb41b6facaf","resolution":{"observed_at":"2026-08-16T12:40:49.487305Z","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":"2026-08-16T12:40:49.456921Z","title":"Equidistribution of bounded torsion CM points,","venue":null,"work_id":"061f73d6-0a28-48d7-9520-26d51678ce63","year":2019},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.881480Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:9004fde42812b8bcf44b07159046f41fee65b3faf69233208df9b8d9cbf9a978","observation_id":"d08ed844-e23f-444c-82e5-524ff50b6f9d","resolution":{"observed_at":"2026-08-16T12:40:49.462922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:48.885614Z","title":"Linear statistics of low-lying zeros of L-functions,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.885614Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:0a70d08bbcfef72b42c6a9019c41019656aa2932da717adba300b4f56751cfac","observation_id":"4cabe114-2ffd-4c63-98dc-acb99eafc472","resolution":{"observed_at":"2026-08-16T12:40:48.885614Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:48.889224Z","title":"Low lying zeros of families of L-functions,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.889224Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:79d21c95d5b14f326e28468c54660a40407bec39079411411cadeca0fb0b7a58","observation_id":"60579079-d987-42a5-b01e-f8da26c035da","resolution":{"observed_at":"2026-08-16T12:40:48.889224Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.17909","last_updated":"2025-04-24T19:54:31Z","snapshot_observed_at":"2026-08-16T12:32:04.662777Z","submitted_at":"2025-04-24T19:54:31Z","title":"The geometry of secondary terms in arithmetic statistics","version":1},"cited_work":{"arxiv_id":"2504.17909","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.17909","snapshot_observed_at":"2026-08-16T12:40:49.135259Z","title":"The geometry of secondary terms in arithmetic statistics","venue":"math.NT","work_id":"82736fed-c3ff-4819-ab8d-f1ea64cdf3a5","year":2025},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.893563Z"},"links":{"cited_paper":"/paper/2504.17909","citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:0cea7e355c706b7d05ee2a612e614d075b235783fbf48104f8f3beb51db74789","observation_id":"ea6fbffe-b2bf-4650-9eef-4cc2fa335bad","resolution":{"observed_at":"2026-08-16T12:40:49.140257Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:48.898104Z","title":"Zeroes of zeta functions and symmetry,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.898104Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:16e49bac13ef447ea09e4730d590097111cff90f21dfac8d4f34e6a97f05dc20","observation_id":"2fd9405f-7380-4b45-abb4-6eaece36983e","resolution":{"observed_at":"2026-08-16T12:40:48.898104Z","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":"2026-08-16T12:40:49.417747Z","title":"Orbital Gauss sums associated with the space of binary cubic forms over a finite field","venue":null,"work_id":"eddf8fc8-b896-452f-8739-91d88e3d1731","year":2010},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.902472Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:6d9aa1f87aff9896fd2fc3c1367cc3abc5ee3cf7cdec191bd091f92bfefcd1a6","observation_id":"215c0159-ef2a-4500-9dfd-be795adda719","resolution":{"observed_at":"2026-08-16T12:40:49.422145Z","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":"2026-08-16T12:40:49.404012Z","title":"Low-lying zeros in families of elliptic curve L-functions over function fields,","venue":null,"work_id":"a6cd6e75-5351-41f4-b3f2-54084f1e69a1","year":2022},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.906796Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:364d606b0cae0667f8103ae8e8191c840d58f7a92b7d142968c0a1cd1c94addd","observation_id":"1368ab3e-caab-41ec-aad1-2ba85b9381c0","resolution":{"observed_at":"2026-08-16T12:40:49.408531Z","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":"2026-08-16T12:40:49.386766Z","title":"Neukirch, Algebraic number theory","venue":null,"work_id":"3531fb36-e14f-47c2-9e4a-5aca4ad50eca","year":1999},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.910876Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:657cee622d4d1e29e1d43d81e99000dd6bcdd2da6a2cd652715676387cce7474","observation_id":"0f1b0af0-ae8d-4e75-8e56-fa90439d76f9","resolution":{"observed_at":"2026-08-16T12:40:49.392594Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:48.916096Z","title":"On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.916096Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:0b7c7db38b15d2305143e059df310c7c159c304443df384c945ccb4f186ecbb6","observation_id":"061d10b8-98bc-45bb-bce3-98397c923f55","resolution":{"observed_at":"2026-08-16T12:40:48.916096Z","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":"2026-08-16T12:40:49.363969Z","title":"Density of cubic field discriminants,","venue":null,"work_id":"8f716013-630a-4cfa-afdc-e8491c713a56","year":2001},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.919991Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:dc0e497dd07eff9e742148d19fe6857c1b75f633f86c73587b9f8fc29131ffea","observation_id":"cc9bac26-b5bf-45bb-a45b-5bb6c7a39f4b","resolution":{"observed_at":"2026-08-16T12:40:49.368603Z","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":"2026-08-16T12:40:49.348706Z","title":"Rosen, Number theory in function fields","venue":null,"work_id":"658926b9-1071-4703-a3fb-39ac2b8a0672","year":2002},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.923900Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:2b295951231acf078178b9d5fba7d0bb5e4b3d213ac873493087477217cd935d","observation_id":"2e91c2e7-7ed6-4039-9ca4-d0610dca5081","resolution":{"observed_at":"2026-08-16T12:40:49.354347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:40:48.927925Z","title":"Traces of high powers of the Frobenius class in the hyperelliptic ensemble,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.927925Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:34ac6c0b370127de72863c53401f1347e2b6da82652afdcc1bdcd6452ab7651b","observation_id":"313b7629-514a-4ae4-8f43-fca1c6e25f03","resolution":{"observed_at":"2026-08-16T12:40:48.927925Z","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":"2026-08-16T12:40:49.321816Z","title":"Serre: Trees","venue":null,"work_id":"5dc5a9cd-b92f-4c65-828d-df13366f9f35","year":1980},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.931978Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:ef2d40a0e2609488a17507bdf9f4c10ffdf4ebbe3b52f3591db6daf9da9a05c2","observation_id":"359839b8-7189-43b6-9fd2-2f8984e03cb3","resolution":{"observed_at":"2026-08-16T12:40:49.325967Z","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":"2026-08-16T12:40:49.308683Z","title":"Sato-Tate equidistribution of certain families of Artin L-functions,","venue":null,"work_id":"3312573e-615c-494e-965c-678b85f6fbbe","year":2019},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.935811Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:710f2238cc61fc1a8377dbbd00c01133467f54ded93ca309a9656be11dbacd60","observation_id":"bf2c3646-d624-459b-8a04-8f43c92ab8d4","resolution":{"observed_at":"2026-08-16T12:40:49.313442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10900","last_updated":"2023-09-03T20:08:47Z","snapshot_observed_at":"2026-08-16T18:08:06.899649Z","submitted_at":"2021-07-22T19:50:07Z","title":"Central values of zeta functions of non-Galois cubic fields","version":3},"cited_work":{"arxiv_id":"2107.10900","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.10900","snapshot_observed_at":"2026-08-16T12:40:49.111225Z","title":"Central values of zeta functions of non-Galois cubic fields","venue":"math.NT","work_id":"f5b34e52-d5fb-4368-9dea-d022cb71d1b4","year":2021},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.939552Z"},"links":{"cited_paper":"/paper/2107.10900","citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:43a89e6d5f50a04fa75091b7ac591b88d7a5d1554aefa5ea1ca542e08d5a8ec9","observation_id":"a16fba81-ed87-4e5e-ba11-c7c19041c10d","resolution":{"observed_at":"2026-08-16T12:40:49.119850Z","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":"2026-08-16T12:40:49.293557Z","title":"Secondary terms in counting functions for cubic fields,","venue":null,"work_id":"7acbc8ed-43d3-4ce3-a58f-e8d870c2ff68","year":2013},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:48.943807Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:a10fcdfb3aa290480afad0fc6f364e9f10d86e4758fed99b4581109e6ff75e2b","observation_id":"ff49d6df-bb9e-4bea-aaf0-842e30087baa","resolution":{"observed_at":"2026-08-16T12:40:49.298221Z","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":"2026-08-16T12:40:49.280141Z","title":"Orbital exponential sums for prehomogeneous vector spaces,","venue":null,"work_id":"7ecff1a3-ca6e-4dde-80a5-74f9f447bcb6","year":2020},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:49.059204Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:bac02ec05ca6e5b0001192074cd90445900cf4b329e936b3aa8e36c4d1a49d15","observation_id":"8e46850c-f9a2-4798-a758-8fb3021122d8","resolution":{"observed_at":"2026-08-16T12:40:49.284284Z","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":"2026-08-16T12:40:49.266087Z","title":"Distribution of Discriminants of Abelian Extensions,","venue":null,"work_id":"e84cbe81-4948-4456-b276-6561f6d3158f","year":1989},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:49.063808Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:225977288416664e31053897f5dfd6afafe4a32ec3a4646abddd2cb454a38cf7","observation_id":"e2cda1b2-762c-44f8-91f7-0bf64c186a73","resolution":{"observed_at":"2026-08-16T12:40:49.270945Z","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":"2026-08-16T12:40:49.250410Z","title":"Yang, Distribution problems associated to zeta functions and invariant theory","venue":null,"work_id":"d9daa34d-979b-421b-ae7c-4521f823102b","year":2009},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:49.068069Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:be6cf4941c83e041e5f8dd3b1981db93d4f380fb42fe6b6931088fc12fa36b63","observation_id":"6e4cab19-4d71-4875-86d8-c86526983552","resolution":{"observed_at":"2026-08-16T12:40:49.254779Z","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":"2026-08-16T12:40:49.233655Z","title":"Low-lying zeros of families of elliptic curves,","venue":null,"work_id":"cc0109b0-a9f9-4935-8d8b-c4a66bf3331f","year":2006},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:49.072110Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:a73bd2ea32bf38e359e65d27f3448edfaba6434c27a48298417cb0cc17e8322c","observation_id":"efcca3a9-229f-47a7-b5f0-9d51157a7a29","resolution":{"observed_at":"2026-08-16T12:40:49.240361Z","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":"2026-08-16T12:40:49.217575Z","title":null,"venue":null,"work_id":"fe8a2321-c0be-4db7-8705-b3554b1775de","year":2013},"citing_paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:49.076031Z"},"links":{"citing_paper":"/paper/2504.12160"},"observation_digest":"sha256:e8231d66b640a4f9d46e771cf5979b0b38493c4f753b1a4abfdf0d38aca46cec","observation_id":"9748b6dc-c4d8-43a7-b72f-9c3272cffc2c","resolution":{"observed_at":"2026-08-16T12:40:49.224081Z","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"}}],"paper":{"arxiv_id":"2504.12160","last_updated":"2025-06-24T14:25:21Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-16T12:34:09.768528Z","submitted_at":"2025-04-16T15:09:28Z","title":"On the counting function of cubic function fields"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":2,"verified_fuzzy":22},"total_outbound_references":32},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2504.12160."}