{"as_of":"2026-08-16T07:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4002c32fd6f41984b855ead0434e54bde5f40b0116c5acd85387b7b8c48f97e7","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:08:46.529655Z","state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.02010/citation-record","integrity":"/paper/1908.02010/integrity","json":"/paper/1908.02010/citation-record.json","paper":"/paper/1908.02010"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:08:47.005779Z","title":"Abo Touk, Z","venue":null,"work_id":"4db6a5bd-4fab-4842-b179-656ab0aa7731","year":2017},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.388636Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:5e6c8a510cab486609dd37ad92646168a25f219f3b46f0046c6e3df645ab79a0","observation_id":"c02f4b28-5b8e-444e-aa3c-c49e64db8b74","resolution":{"observed_at":"2026-08-14T15:08:47.014912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:08:46.896827Z","title":"Berndt, Number Theory in the Spirit of Ramanujan, Am erican Mathematical Society, Providence, RI, 2006","venue":null,"work_id":"dd76acc4-99e2-4fa9-ac6c-52b5020dd880","year":2006},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.400182Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:86bf9663ea9b23adf064c9f637c4de10ab08a38fb06b39556364395558824be9","observation_id":"c070437f-23a8-4373-b5e0-7a4f721e8f9f","resolution":{"observed_at":"2026-08-14T15:08:46.938791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:08:46.863610Z","title":"Berndt, Ramanujan’s Notebooks, Part III, Springer -Verlag, New York, 1991","venue":null,"work_id":"3a07600a-4f43-485f-9ad0-fcfd317b2ab4","year":1991},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.417770Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:e92654052cafefce8b2f3dc5cc1e24389304ebeb4f3d3b643a722e441d61b92d","observation_id":"11ba9f15-6b15-4067-a9d6-e1d9bb6d61ea","resolution":{"observed_at":"2026-08-14T15:08:46.874720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:08:46.785619Z","title":"El Bachraoui, On the Gosper’s q-constant Π q","venue":null,"work_id":"65cedd8d-ff7b-4dbc-b457-2f545a7e294a","year":2018},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.426353Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:feecfefe5f2121bbf715e927c8d302c00f649ccef0d8cc119e2d2722fc50e6d2","observation_id":"1595a368-9121-4eee-a1ca-c08bef914739","resolution":{"observed_at":"2026-08-14T15:08:46.837090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:08:46.432746Z","title":"Gosper, Experiments and discoveries in q-trigonometry, in: F.G","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.432746Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:f6c20f312405d308f3ba467ee7d5c44c1b0cbfa46aaa9b6147d52fa032d5f5a1","observation_id":"0b518b39-4650-4690-bd1b-f4c4c9cd97ab","resolution":{"observed_at":"2026-08-14T15:08:46.432746Z","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":"10.1007/s11425-019-9555-1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:08:46.575113Z","title":"He and H.-C","venue":null,"work_id":"d480e9c7-dc18-4eb1-80cb-d274e05ea372","year":2020},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.440086Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:b1a50c0bf41edef402294a6697718bcb7724cba01bc6e96d9a302cc9c8ec92cc","observation_id":"1bbe6fd2-8bc9-4353-b0cb-f2b7497c748c","resolution":{"observed_at":"2026-08-14T15:08:46.624170Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:08:46.681609Z","title":"Liu, Addition formulas for Jacobi theta functions , Dedekind’s eta functions, and Ra- manujan’s congruences, Paciﬁc J","venue":null,"work_id":"ee0b8d7f-4510-4d81-b898-4ee5b6ed19dd","year":2009},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.480609Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:eb683e36e67368ee4632319e1105a0958502cca3844e7d639b2572f333d9b089","observation_id":"632a23e4-a9fc-4d1f-b591-40c29f699eb9","resolution":{"observed_at":"2026-08-14T15:08:46.742941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:08:46.652678Z","title":"Liu, An addition formula for the Jacobian theta fun ction and its applications, Adv","venue":null,"work_id":"984d3909-8d9a-4496-8b33-86220a539c58","year":2007},"citing_paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper","version":5},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:08:46.529655Z"},"links":{"citing_paper":"/paper/1908.02010"},"observation_digest":"sha256:eb074222746d120e17125806644bcd966dbffd34304c9c841132d0f44dfe14ba","observation_id":"4aaae7ce-e107-46e1-b0fe-649343dc8faf","resolution":{"observed_at":"2026-08-14T15:08:46.663132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02010","last_updated":"2020-11-27T11:00:14Z","latest_version":5,"primary_category":"math.CA","snapshot_observed_at":"2026-08-14T14:54:12.679806Z","submitted_at":"2019-08-06T08:29:12Z","title":"Proofs for certain Pi_{q}-conjectures of Gosper"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":6},"total_outbound_references":8},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.02010."}