{"as_of":"2026-08-13T11:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a7571d1b63ab80ee81416b0b6c11bf9adcfc059139644a2cf9b5168807d63be4","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:24:10.583543Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.17327/citation-record","integrity":"/paper/2411.17327/integrity","json":"/paper/2411.17327/citation-record.json","paper":"/paper/2411.17327"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4612-4530-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-13T11:03:48.094449Z","title":null,"venue":null,"work_id":"6ee022ee-b71c-4490-a86c-ea157715246c","year":1988},"citing_paper":{"arxiv_id":"2411.17327","last_updated":"2024-11-26T11:14:56Z","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T12:24:10.566602Z"},"links":{"citing_paper":"/paper/2411.17327"},"observation_digest":"sha256:e8b760942ae5d08b594ad1ce3ee6771b9f5b0dc1b6e069dbe454d291d80b2e61","observation_id":"9a83b00d-4a9d-4fbc-90b4-b532b2a51a7d","resolution":{"observed_at":"2026-08-12T12:24:10.632888Z","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":"10.2307/2695443","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:24:10.616047Z","title":"An Elementary Problem Equivalent t o the Riemann Hypothesis","venue":null,"work_id":"4b2085ee-49de-451a-9b62-774fe83d30f7","year":2002},"citing_paper":{"arxiv_id":"2411.17327","last_updated":"2024-11-26T11:14:56Z","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T12:24:10.570186Z"},"links":{"citing_paper":"/paper/2411.17327"},"observation_digest":"sha256:a7910c62b1a6ddc484232dc1fd411a833367466cb8743d8482e49082c947dd5f","observation_id":"eab4a857-2d8b-4cb0-92fe-fe53517073ce","resolution":{"observed_at":"2026-08-12T12:24:10.621850Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:24:10.662265Z","title":"On the Partition Function p(n)","venue":null,"work_id":"6d5b8dee-b28d-4704-9891-ad70c58e5a73","year":1938},"citing_paper":{"arxiv_id":"2411.17327","last_updated":"2024-11-26T11:14:56Z","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T12:24:10.573484Z"},"links":{"citing_paper":"/paper/2411.17327"},"observation_digest":"sha256:2acd572e4b63c6b8f19318f373459a9acb46e0903ae9d9653cb5e2ec06d6f823","observation_id":"57dd0050-6529-4347-b28a-c6932fa6aa9e","resolution":{"observed_at":"2026-08-12T12:24:10.666957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:24:10.576671Z","title":"Theory of Complex Functions","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2411.17327","last_updated":"2024-11-26T11:14:56Z","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T12:24:10.576671Z"},"links":{"citing_paper":"/paper/2411.17327"},"observation_digest":"sha256:5a76dd47119714c922dc7fb417db0f5f1694e278a108597cf809cd0230ca6e19","observation_id":"3ec8e56d-ce60-4e2a-a7e0-f8d63032892a","resolution":{"observed_at":"2026-08-12T12:24:10.576671Z","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":"2026-08-12T12:24:10.651486Z","title":"Ueber die Anzahl der Primzahlen unter e iner gegebenen Gr¨ osse","venue":null,"work_id":"5dbf2c2c-4c39-4021-98dc-4fb18d85d18e","year":null},"citing_paper":{"arxiv_id":"2411.17327","last_updated":"2024-11-26T11:14:56Z","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T12:24:10.579938Z"},"links":{"citing_paper":"/paper/2411.17327"},"observation_digest":"sha256:7c60eaec3b5524b41f51d3f164cee8b52c5879f1735d9e884afedc1b7d736083","observation_id":"69a64601-8750-4b2f-a997-a2f4f51b715a","resolution":{"observed_at":"2026-08-12T12:24:10.655194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:24:10.640060Z","title":"Grandes valeurs de la fonction somme des divis eurs et hypoth` ese de Riemann","venue":null,"work_id":"c9368940-70a5-4661-a007-c355e70fa7a3","year":1984},"citing_paper":{"arxiv_id":"2411.17327","last_updated":"2024-11-26T11:14:56Z","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T12:24:10.583543Z"},"links":{"citing_paper":"/paper/2411.17327"},"observation_digest":"sha256:9aa34e9b7f9b4e11e25c72c19a3c1923d3103c1cb5ae0c4b1b542c1c7eee3e74","observation_id":"3110788d-88b8-42fe-8f63-feb12dd78ed3","resolution":{"observed_at":"2026-08-12T12:24:10.643808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2411.17327","last_updated":"2024-11-26T11:14:56Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T12:11:37.920991Z","submitted_at":"2024-11-26T11:14:56Z","title":"Analytic expressions pertaining to certain arithmetical functions"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":2,"verified_fuzzy":3},"total_outbound_references":6},"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 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2411.17327."}