{"as_of":"2026-08-13T11:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e0b7e17a23c156b5176af6fc6a47ae4374be66f65f159d3b4b7e5b3fbf1db0e5","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:37:14.881362Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"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/2507.16837/citation-record","integrity":"/paper/2507.16837/integrity","json":"/paper/2507.16837/citation-record.json","paper":"/paper/2507.16837"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:37:16.341188Z","title":"Goldstein, C","venue":null,"work_id":"edcfca1b-92f3-40a5-b00e-c6c17e39b4c7","year":2002},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.241184Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:5350e9d2f0d1adc9f8f5e5e2837283ac4d182cb43c02d2a8967166b58eac2f1f","observation_id":"e89929e9-e582-40ac-a325-5c45cc1c1f10","resolution":{"observed_at":"2026-08-06T16:37:16.416633Z","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":"2026-08-06T16:37:16.181293Z","title":null,"venue":null,"work_id":"058ce2b8-a816-4d8c-ad8f-47177dcf989a","year":2003},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.349540Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:1773693b5e0540051ca83342a92d2e2b27286e9c1958119e0bf6df04ddf689e1","observation_id":"18761431-8a00-4e06-bbbf-a82d71d2100e","resolution":{"observed_at":"2026-08-06T16:37:16.251911Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T16:37:15.947656Z","title":"Stillwell, Elements of Number Theory","venue":null,"work_id":"27727dd3-087b-4041-9c55-a5347bd9e6c4","year":2002},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.435325Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:8fe09a5b25b14122cf8debf20a35571f295d7d0318012bdefe9e503d44cd628f","observation_id":"6d163771-04fb-4630-a2a3-212bbea1a97e","resolution":{"observed_at":"2026-08-06T16:37:16.093823Z","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":"2026-08-06T16:37:15.701716Z","title":"Taxicab numbers and the expr ession of numbers as a sum of two cubes,","venue":null,"work_id":"a8c800bb-3d00-457c-b2ff-74f42946102c","year":1918},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.516808Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:759393949730ed23ab2aea4e477e82b771c46d376b4021f605948a13191b242a","observation_id":"034a3d11-a080-4107-8a4a-d82c9b44605f","resolution":{"observed_at":"2026-08-06T16:37:15.805769Z","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":"2026-08-06T16:37:15.477945Z","title":null,"venue":null,"work_id":"9b8c154d-6d50-495c-a214-eccb86fad29a","year":1994},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.589131Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:3c776aa30799bca7475a2fe21fea33f08e5d3e082a8b2e9360d95e9661b12da1","observation_id":"d91b0497-72a6-42a1-917e-fec34c9702d5","resolution":{"observed_at":"2026-08-06T16:37:15.605180Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T16:37:15.212724Z","title":null,"venue":null,"work_id":"fa837468-5d46-4c5a-99ae-40f58aea127f","year":2003},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.712664Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:c9290ada735023799429986ee2bc9f7f9b63e8b49e25e4cf5c57dfa493d0c9b3","observation_id":"a7f4a3a9-118f-426c-a557-69969f8dfdac","resolution":{"observed_at":"2026-08-06T16:37:15.281550Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T16:37:15.019044Z","title":"Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan","venue":null,"work_id":"99cb634e-4478-462a-85fe-e00a45570ac1","year":1991},"citing_paper":{"arxiv_id":"2507.16837","last_updated":"2025-07-17T15:31:05Z","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:37:14.881362Z"},"links":{"citing_paper":"/paper/2507.16837"},"observation_digest":"sha256:dd78d6da975f480fc00ef330637272b979b2f9196ce1b25c54b8681111c30992","observation_id":"9d3d01dc-8cc4-43bb-bc17-424c6d7e021f","resolution":{"observed_at":"2026-08-06T16:37:15.112482Z","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":"2507.16837","last_updated":"2025-07-17T15:31:05Z","latest_version":1,"primary_category":"physics.class-ph","snapshot_observed_at":"2026-08-06T16:24:57.763136Z","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":7},"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 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.16837."}