{"as_of":"2026-08-13T10:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d36d62bcdebbe8a6a72c77fab8df66977a13dd8a6fb81edd4c70ad035726c059","coverage":[{"denominator":3,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T17:13:28.111457Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T14:06:57.047627Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T15:05:02.385194Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.01026","last_updated":"2025-02-03T03:44:34Z","snapshot_observed_at":"2026-08-11T04:48:11.996197Z","submitted_at":"2025-02-03T03:44:34Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.01026","snapshot_observed_at":"2026-08-09T14:06:57.047627Z","title":"Reine Angew","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2502.01957","last_updated":"2025-02-04T03:06:01Z","snapshot_observed_at":"2026-08-10T04:32:47.808603Z","submitted_at":"2025-02-04T03:06:01Z","title":"There are infinitely many elliptic curves over the rationals of rank 2","version":1},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-09T14:06:57.047627Z"},"links":{"cited_paper":"/paper/2502.01026","citing_paper":"/paper/2502.01957"},"observation_digest":"sha256:14ac3585aa79dffc4ab3f821b521774a6cae1a1a46849b702e37c39c9de390c5","observation_id":"f886fae5-5c7a-45d4-b483-f8294f555d4b","resolution":{"observed_at":"2026-08-09T14:06:57.047627Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.01026","last_updated":"2025-02-03T03:44:34Z","snapshot_observed_at":"2026-08-11T04:48:11.996197Z","submitted_at":"2025-02-03T03:44:34Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump","version":1},"cited_work":{"arxiv_id":"2502.01026","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.01026","snapshot_observed_at":"2026-08-07T15:05:02.385194Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump","venue":"math.NT","work_id":"a1a5e765-29f5-420c-91ec-d08e198bb634","year":2025},"citing_paper":{"arxiv_id":"2505.16960","last_updated":"2025-05-22T17:43:35Z","snapshot_observed_at":"2026-08-12T07:44:19.096369Z","submitted_at":"2025-05-22T17:43:35Z","title":"Rank one elliptic curves and rank stability","version":1},"reference_index":2009,"source":"pdf_text","source_observed_at":"2026-08-07T15:05:02.302842Z"},"links":{"cited_paper":"/paper/2502.01026","citing_paper":"/paper/2505.16960"},"observation_digest":"sha256:e75a90810f374250de3043cae0fca988ba874dd1e8541c852f35261daf05b162","observation_id":"f3df9a43-dcf7-47f7-8bf3-b4153c86f575","resolution":{"observed_at":"2026-08-07T15:05:02.435024Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.01026/citation-record","integrity":"/paper/2502.01026/integrity","json":"/paper/2502.01026/citation-record.json","paper":"/paper/2502.01026"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0004972722001368","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Bulletin of the Australian Mathematical Society","work_id":"2c96440b-eec9-4ce7-a771-654ef47e1586","year":2023},"citing_paper":{"arxiv_id":"2502.01026","last_updated":"2025-02-03T03:44:34Z","snapshot_observed_at":"2026-08-11T04:48:11.996197Z","submitted_at":"2025-02-03T03:44:34Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T17:13:27.945780Z"},"links":{"citing_paper":"/paper/2502.01026"},"observation_digest":"sha256:9651d8474b069760b8c274728d30e0acdf88b2108289f147a7ff588cb6869fb2","observation_id":"a4d03a5c-0a79-495f-937e-7e02ba1a68bc","resolution":{"observed_at":"2026-08-09T17:13:28.169165Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/crll.1965.217.180","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On conjectures of Birc h and Swinnerton- Dyer, J","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","work_id":"322a65aa-11e8-48d3-abab-39788188d58c","year":1965},"citing_paper":{"arxiv_id":"2502.01026","last_updated":"2025-02-03T03:44:34Z","snapshot_observed_at":"2026-08-11T04:48:11.996197Z","submitted_at":"2025-02-03T03:44:34Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T17:13:28.043702Z"},"links":{"citing_paper":"/paper/2502.01026"},"observation_digest":"sha256:eec561ad1cbb68f26e499aea80f6f7857f4cf05fab671f31a68e412711199d14","observation_id":"a73791c8-8cc4-4d77-b452-685fbe0a455b","resolution":{"observed_at":"2026-08-09T17:13:28.157033Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/crll.1983.342.197","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Reine Angew","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","work_id":"137d6981-9ee5-4d97-aa66-e92792eae100","year":1983},"citing_paper":{"arxiv_id":"2502.01026","last_updated":"2025-02-03T03:44:34Z","snapshot_observed_at":"2026-08-11T04:48:11.996197Z","submitted_at":"2025-02-03T03:44:34Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump","version":1},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-09T17:13:28.111457Z"},"links":{"citing_paper":"/paper/2502.01026"},"observation_digest":"sha256:c6c6f0c3e99bb0a8b3263a41502ca25a407010403ad80a435bc0c0c43f521501","observation_id":"793904a3-d912-4664-9b9f-5571e49c9404","resolution":{"observed_at":"2026-08-09T17:13:28.143691Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.01026","last_updated":"2025-02-03T03:44:34Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-11T04:48:11.996197Z","submitted_at":"2025-02-03T03:44:34Z","title":"An elliptic surface with infinitely many fibers for which the rank does not jump"},"reference_resolution":{"displayed":3,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":3},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 2 inbound Pith citation observations for arXiv:2502.01026."}