{"as_of":"2026-08-13T04:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:083d85d738a1be17e0d6965a9bf5de9f5e81d1bb0b681e5cea0899afc1ef920e","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T23:47:37.680090Z","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":"2026-08-11T23:47:37.732005Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1407.1099","last_updated":"2014-07-04T00:47:12Z","snapshot_observed_at":"2026-07-06T03:48:03.365402Z","submitted_at":"2014-07-04T00:47:12Z","title":"Indivisibility of Heegner points in the multiplicative case","version":1},"cited_work":{"arxiv_id":"1407.1099","doi":null,"metadata_source":"pith","pith_arxiv_id":"1407.1099","snapshot_observed_at":"2026-08-11T23:47:37.732005Z","title":"Indivisibility of Heegner points in the multiplicative case","venue":"math.NT","work_id":"a40cc0d4-5e77-414a-8985-cbb29b278b4f","year":2014},"citing_paper":{"arxiv_id":"2412.02303","last_updated":"2024-12-19T13:43:23Z","snapshot_observed_at":"2026-08-13T01:41:41.524258Z","submitted_at":"2024-12-03T09:16:41Z","title":"Kolyvagin's conjecture for modular forms","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T23:47:37.680090Z"},"links":{"cited_paper":"/paper/1407.1099","citing_paper":"/paper/2412.02303"},"observation_digest":"sha256:05d73a904adff8834851aa26ef797bd621b84479d645a9f157a5cd8a4e891201","observation_id":"a7873f0f-c336-47b1-a921-a2dbf4c93cbe","resolution":{"observed_at":"2026-08-11T23:47:37.739415Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1407.1099","last_updated":"2014-07-04T00:47:12Z","snapshot_observed_at":"2026-07-06T03:48:03.365402Z","submitted_at":"2014-07-04T00:47:12Z","title":"Indivisibility of Heegner points in the multiplicative case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.1099","snapshot_observed_at":"2026-08-04T10:27:10.641774Z","title":"Skinner and W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.10277","last_updated":"2026-06-08T13:24:25Z","snapshot_observed_at":"2026-08-12T11:35:39.277952Z","submitted_at":"2025-10-11T16:24:04Z","title":"$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T10:27:10.641774Z"},"links":{"cited_paper":"/paper/1407.1099","citing_paper":"/paper/2510.10277"},"observation_digest":"sha256:1986c5af3a0a08395a9e6ec196016ab04cec46c4c6ee8867c935afe6397967b7","observation_id":"cbc95c9f-b16c-431c-bc81-f5e99c4f75a4","resolution":{"observed_at":"2026-08-04T10:27:10.641774Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.1099","last_updated":"2014-07-04T00:47:12Z","snapshot_observed_at":"2026-07-06T03:48:03.365402Z","submitted_at":"2014-07-04T00:47:12Z","title":"Indivisibility of Heegner points in the multiplicative case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.1099","snapshot_observed_at":"2026-08-04T10:24:15.003897Z","title":"Skinner and W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.10303","last_updated":"2026-06-07T23:45:14Z","snapshot_observed_at":"2026-08-04T10:24:04.959787Z","submitted_at":"2025-10-11T18:03:15Z","title":"Arithmetic Hirzebruch-Zagier divisors and central derivative values of Rankin-Selberg $L$-functions","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T10:24:15.003897Z"},"links":{"cited_paper":"/paper/1407.1099","citing_paper":"/paper/2510.10303"},"observation_digest":"sha256:deb9a4063cd86b6103710306eccdcdcedec2a8e0fa42deb56cbb92c42f0b541e","observation_id":"e2430951-b731-4209-8da0-cf29350f409b","resolution":{"observed_at":"2026-08-04T10:24:15.003897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1407.1099/citation-record","integrity":"/paper/1407.1099/integrity","json":"/paper/1407.1099/citation-record.json","paper":"/paper/1407.1099"},"outbound":[],"paper":{"arxiv_id":"1407.1099","last_updated":"2014-07-04T00:47:12Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T03:48:03.365402Z","submitted_at":"2014-07-04T00:47:12Z","title":"Indivisibility of Heegner points in the multiplicative case"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1407.1099."}