{"as_of":"2026-08-14T12:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e81abdbe1cfa995d83e471229a51a119d38f51ddaa6316d5945514b394c4e0b2","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T17:30:13.610867Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-24T00:43:40.016474Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.01350","last_updated":"2024-09-11T19:58:29Z","snapshot_observed_at":"2026-08-12T22:52:56.102701Z","submitted_at":"2024-09-02T16:10:11Z","title":"Zeta elements for elliptic curves and applications","version":2},"cited_work":{"arxiv_id":"2409.01350","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.01350","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Burungale, C","venue":null,"work_id":"40f4b03c-378f-4d56-92ac-2ffdfa27c171","year":2024},"citing_paper":{"arxiv_id":"2405.19142","last_updated":"2026-04-22T00:22:23Z","snapshot_observed_at":"2026-08-08T10:35:44.723252Z","submitted_at":"2024-05-29T14:48:12Z","title":"On $p$-adic $L$-functions of elliptic curves and the ideal class groups of the division fields","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T00:43:23.469433Z"},"links":{"cited_paper":"/paper/2409.01350","citing_paper":"/paper/2405.19142"},"observation_digest":"sha256:72785405d06e0ac463da55796828f016f8082f11d40c2c3091853c7785de2e47","observation_id":"9372ee78-c49b-4273-bab5-5b23a9ca755d","resolution":{"observed_at":"2026-05-24T00:43:40.022521Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01350","last_updated":"2024-09-11T19:58:29Z","snapshot_observed_at":"2026-08-12T22:52:56.102701Z","submitted_at":"2024-09-02T16:10:11Z","title":"Zeta elements for elliptic curves and applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.01350","snapshot_observed_at":"2026-08-09T17:30:13.610867Z","title":"Zeta elements for elliptic curves and applications, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.00876","last_updated":"2025-02-02T19:00:56Z","snapshot_observed_at":"2026-08-14T10:36:17.515221Z","submitted_at":"2025-02-02T19:00:56Z","title":"The eigencurve at crystalline points with scalar Frobenius and Gross-Stark regulators","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-09T17:30:13.610867Z"},"links":{"cited_paper":"/paper/2409.01350","citing_paper":"/paper/2502.00876"},"observation_digest":"sha256:bdebf86f5fe7f795d010dc9d86f0baab9a48e9f5b8f2a1a7187f71a4121734f4","observation_id":"c0928d82-4fe5-4c62-8c91-599670d86b5b","resolution":{"observed_at":"2026-08-09T17:30:13.610867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01350","last_updated":"2024-09-11T19:58:29Z","snapshot_observed_at":"2026-08-12T22:52:56.102701Z","submitted_at":"2024-09-02T16:10:11Z","title":"Zeta elements for elliptic curves and applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.01350","snapshot_observed_at":"2026-08-04T22:07:58.896224Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.07564","last_updated":"2025-09-09T10:04:37Z","snapshot_observed_at":"2026-08-08T01:08:23.796870Z","submitted_at":"2025-09-09T10:04:37Z","title":"Anticyclotomic diagonal classes and Beilinson--Flach elements","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-04T22:07:58.896224Z"},"links":{"cited_paper":"/paper/2409.01350","citing_paper":"/paper/2509.07564"},"observation_digest":"sha256:765a47c0ebf7869a1f119ba47b0e77b85462ff4479dfec4608a0ef52b3a4a8cb","observation_id":"51cc43ed-2368-42f4-a985-31ad4acb5a7d","resolution":{"observed_at":"2026-08-04T22:07:58.896224Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01350","last_updated":"2024-09-11T19:58:29Z","snapshot_observed_at":"2026-08-12T22:52:56.102701Z","submitted_at":"2024-09-02T16:10:11Z","title":"Zeta elements for elliptic curves and applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.01350","snapshot_observed_at":"2026-08-03T08:45:24.930770Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.16044","last_updated":"2026-06-04T15:00:13Z","snapshot_observed_at":"2026-08-13T11:10:22.181934Z","submitted_at":"2026-01-22T15:19:37Z","title":"On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T08:45:24.930770Z"},"links":{"cited_paper":"/paper/2409.01350","citing_paper":"/paper/2601.16044"},"observation_digest":"sha256:064fa6253bc0d233b02cc54be7240c815692fe770af89a527b4933d4c5f9caa7","observation_id":"ac617afb-1b2f-4152-98c8-5817e2c7abdf","resolution":{"observed_at":"2026-08-03T08:45:24.930770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01350","last_updated":"2024-09-11T19:58:29Z","snapshot_observed_at":"2026-08-12T22:52:56.102701Z","submitted_at":"2024-09-02T16:10:11Z","title":"Zeta elements for elliptic curves and applications","version":2},"cited_work":{"arxiv_id":"2409.01350","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.01350","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Burungale, C","venue":null,"work_id":"40f4b03c-378f-4d56-92ac-2ffdfa27c171","year":2024},"citing_paper":{"arxiv_id":"2603.20886","last_updated":"2026-05-10T15:24:49Z","snapshot_observed_at":"2026-08-03T01:31:12.434187Z","submitted_at":"2026-03-21T17:24:28Z","title":"A refined non-vanishing of the $p$-adic logarithm of a rational point on an abelian variety","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-15T06:58:09.652056Z"},"links":{"cited_paper":"/paper/2409.01350","citing_paper":"/paper/2603.20886"},"observation_digest":"sha256:7e5172060b0fc106ee92fd488fad9a48a5df1c0b153932ac335979e8ac3ce564","observation_id":"f0bcece1-b8ee-4bd8-9e43-a46467ff55a7","resolution":{"observed_at":"2026-05-15T06:59:49.187033Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.01350/citation-record","integrity":"/paper/2409.01350/integrity","json":"/paper/2409.01350/citation-record.json","paper":"/paper/2409.01350"},"outbound":[],"paper":{"arxiv_id":"2409.01350","last_updated":"2024-09-11T19:58:29Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T22:52:56.102701Z","submitted_at":"2024-09-02T16:10:11Z","title":"Zeta elements for elliptic curves and applications"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2409.01350."}