{"as_of":"2026-08-18T19:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b25aea38687bed4962b63ae8bd05807d14bb0204435fb2e1b000e58e571f7151","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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":"2026-08-11T00:08:47.742476Z","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":"2026-08-10T14:10:57.490103Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2303.09646","last_updated":"2025-01-17T23:41:23Z","snapshot_observed_at":"2026-08-18T10:27:14.763732Z","submitted_at":"2023-03-16T20:57:25Z","title":"Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.09646","snapshot_observed_at":"2026-08-11T00:08:47.742476Z","title":"Subconvexity for (1) twists of Rankin-Selberg L -functions","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.10418","last_updated":"2024-12-27T18:56:07Z","snapshot_observed_at":"2026-08-18T15:06:08.632276Z","submitted_at":"2024-12-27T18:56:07Z","title":"Spectral Reciprocity for the first moment of triple product $L$-functions and applications","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T00:08:47.742476Z"},"links":{"cited_paper":"/paper/2303.09646","citing_paper":"/paper/2501.10418"},"observation_digest":"sha256:8654357487af36c90edf95947f407572585edfae5d470f5867406e383dc50290","observation_id":"e79a0163-7ef0-4133-960f-4662fbc06361","resolution":{"observed_at":"2026-08-11T00:08:47.742476Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.09646","last_updated":"2025-01-17T23:41:23Z","snapshot_observed_at":"2026-08-18T10:27:14.763732Z","submitted_at":"2023-03-16T20:57:25Z","title":"Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions","version":5},"cited_work":{"arxiv_id":"2303.09646","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.09646","snapshot_observed_at":"2026-08-10T14:10:57.490103Z","title":"Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions","venue":"math.NT","work_id":"e344d71c-aa37-49b8-831d-25a1740522ae","year":2023},"citing_paper":{"arxiv_id":"2501.15801","last_updated":"2025-03-27T15:46:56Z","snapshot_observed_at":"2026-08-10T13:54:11.503121Z","submitted_at":"2025-01-27T06:06:29Z","title":"Hybrid bounds for ${\\rm{GL}}(4)\\times {\\rm{GL}}(1)$ twisted $L$-functions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T14:10:57.368793Z"},"links":{"cited_paper":"/paper/2303.09646","citing_paper":"/paper/2501.15801"},"observation_digest":"sha256:4ef4fb20adbf3b724b49d6080e6adfdbdf7fdda4bb2e66a85d69a615212b943a","observation_id":"6fc7cce7-d537-4c82-a256-6985336e3cea","resolution":{"observed_at":"2026-08-10T14:10:57.494598Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2303.09646/citation-record","integrity":"/paper/2303.09646/integrity","json":"/paper/2303.09646/citation-record.json","paper":"/paper/2303.09646"},"outbound":[],"paper":{"arxiv_id":"2303.09646","last_updated":"2025-01-17T23:41:23Z","latest_version":5,"primary_category":"math.NT","snapshot_observed_at":"2026-08-18T10:27:14.763732Z","submitted_at":"2023-03-16T20:57:25Z","title":"Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions"},"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":"2026-08-18T06:34:40.430872+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 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2303.09646."}