{"as_of":"2026-08-13T00:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f852f482ada2ccbfa463e4b0f2d0e283011f18272604a824ca99c1d2051775ee","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T23:52:01.036634Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-06T14:02:02.089444Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-13T19:13:09.790389Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.08760","snapshot_observed_at":"2026-08-06T14:02:02.089444Z","title":"Modular forms and certain 2F1(1) hypergeometric series, 2025 arXiv:2502.08760","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.19971","last_updated":"2025-07-26T15:02:14Z","snapshot_observed_at":"2026-08-09T03:57:38.116921Z","submitted_at":"2025-07-26T15:02:14Z","title":"On Some Hypergeometric Modularity Conjectures of Dawsey and McCarthy","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T14:02:02.089444Z"},"links":{"cited_paper":"/paper/2502.08760","citing_paper":"/paper/2507.19971"},"observation_digest":"sha256:3be3d36fcbac63b9c9f99f236edc24059dddb23a3aecb82174826df98d254ccf","observation_id":"db96e4c4-947f-4338-91b8-fd1ce6ba93b6","resolution":{"observed_at":"2026-08-06T14:02:02.089444Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"cited_work":{"arxiv_id":"2502.08760","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.08760","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Rosen,Modular forms and certain 2F1(1)hypergeometric series, to appear in Proceedings of the American Mathematical Society","venue":null,"work_id":"01639bd1-8f32-49d1-9e1b-9e60faef6e59","year":2025},"citing_paper":{"arxiv_id":"2604.02723","last_updated":"2026-04-03T04:29:25Z","snapshot_observed_at":"2026-08-09T02:26:23.134249Z","submitted_at":"2026-04-03T04:29:25Z","title":"Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-13T19:09:08.706958Z"},"links":{"cited_paper":"/paper/2502.08760","citing_paper":"/paper/2604.02723"},"observation_digest":"sha256:79ca8f3b32537080272cfa6216b62b06ec4d8cf0f46a000ce18a0548761af7a4","observation_id":"a0225394-b4c8-4f06-821e-cb2a8cb258d0","resolution":{"observed_at":"2026-05-13T19:13:09.791890Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2502.08760/citation-record","integrity":"/paper/2502.08760/integrity","json":"/paper/2502.08760/citation-record.json","paper":"/paper/2502.08760"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.00711","last_updated":"2025-06-19T20:42:08Z","snapshot_observed_at":"2026-08-10T19:44:46.349097Z","submitted_at":"2024-03-31T15:08:59Z","title":"The Explicit Hypergeometric-Modularity Method I","version":4},"cited_work":{"arxiv_id":"2404.00711","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.00711","snapshot_observed_at":"2026-08-07T23:52:01.126248Z","title":"The Explicit Hypergeometric-Modularity Method I","venue":"math.NT","work_id":"d3443550-7e86-4014-ae84-445a770a202a","year":2024},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.945217Z"},"links":{"cited_paper":"/paper/2404.00711","citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:285d92a21dec88b1fc5fb46e53a6b507d495f5cd75d25e9a09783614e1be677e","observation_id":"7da68874-ad09-4a56-98be-9013fa95729c","resolution":{"observed_at":"2026-08-07T23:52:01.131518Z","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":"2411.15116","last_updated":"2024-11-22T18:32:27Z","snapshot_observed_at":"2026-08-12T14:26:14.344553Z","submitted_at":"2024-11-22T18:32:27Z","title":"The Explicit Hypergeometric-Modularity Method II","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.15116","snapshot_observed_at":"2026-08-07T23:52:00.948959Z","title":"The hypergeometric modularity method II","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.948959Z"},"links":{"cited_paper":"/paper/2411.15116","citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:e3ed4ed90404d5f37a1c082ece443c58289471c5d08407014b8a3f6b28a4523e","observation_id":"3bb00781-0b9d-4ec0-b475-36a7dcee6c9f","resolution":{"observed_at":"2026-08-07T23:52:00.948959Z","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":"2026-08-07T23:52:01.366243Z","title":"Andrews, Richard Askey, and Ranjan Roy","venue":null,"work_id":"f03cb831-11c3-4187-9c06-a3b4b17409c5","year":2024},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.952106Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:23f2bf0d365f759e4c0ab575248c27ab1cd886c25cdbdfda40864a64be82ccbc","observation_id":"b81aeb0f-9cda-4d6c-a92f-c29e24086136","resolution":{"observed_at":"2026-08-07T23:52:01.369048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.358821Z","title":"Simple factors of the Jacobian of a Fermat cu rve and the Picard number of a product of Fermat curves","venue":null,"work_id":"29c6ba8d-cf82-443a-9caa-01f9bee166e9","year":1991},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.955171Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:f1f965ea2251d898c2b958858fa47fc855a10cca423ff1d060889415d226a2e0","observation_id":"25d7af29-1dee-4a28-bd79-383f87283252","resolution":{"observed_at":"2026-08-07T23:52:01.361815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.351472Z","title":"Hypergeometric abelian varieties","venue":null,"work_id":"6d1a4bcb-5e9e-4566-9d6c-a09dd59a5110","year":2003},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.958212Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:ee5491ebe6e11d69f5c2f843f361b6a7d393b63d5af3a96667ccf8b988465f60","observation_id":"3d40d90e-ddb3-4478-8d5a-68638c6fc458","resolution":{"observed_at":"2026-08-07T23:52:01.354234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.343647Z","title":"Hecke operators on noncongruence subgr oups","venue":null,"work_id":"f2982e57-c57a-441a-aa50-054eb5a3db5a","year":1994},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.961159Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:df37890024becb3f89e7599a3642360ddc5b61226354411e86ea87a5523fe49f","observation_id":"c0e1db71-c375-4aad-8bb0-62cbcf2958dc","resolution":{"observed_at":"2026-08-07T23:52:01.346627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.336067Z","title":"Borwein and Peter B","venue":null,"work_id":"a90dc313-f9b8-4c21-b2a4-3fe58e2691b7","year":1987},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.964400Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:612830f68246558132b11f38d1a6864e71ce46490290f20d66c26cecf45bf453","observation_id":"6f6b75fb-29ee-489d-8563-8aadfbda2227","resolution":{"observed_at":"2026-08-07T23:52:01.338810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.328310Z","title":"Rigid local systems, Hilbert modular form s, and Fermat’s last theorem","venue":null,"work_id":"e6af14c4-3afe-4480-90e6-ed1b90921adf","year":2000},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.967336Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:8cb31b8eeed535bdfab0cdd0cc6d16665f72888f3d83d21acc177e839afbd9d6","observation_id":"fc943e1a-3c8c-4a33-a4f2-8a602ef76d54","resolution":{"observed_at":"2026-08-07T23:52:01.331237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.320730Z","title":"A first course in modular forms , volume 228 of Graduate Texts in Mathe- matics","venue":null,"work_id":"d61b0089-0fb9-4c2f-a789-05dabd6be469","year":2005},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.970150Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:54c91a169f3f09a93a004c5d123ee8c355e24673df8605e9360ac0cee92943f5","observation_id":"1620f4f0-e9dc-43ac-a1a3-5b730f24b0c2","resolution":{"observed_at":"2026-08-07T23:52:01.323591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.313458Z","title":"Elliptic curves with ex ceptionally large analytic order of the Tate-Shafarevich groups","venue":null,"work_id":"4f265a7c-68e8-417d-bf73-626ac9e9b8b4","year":2021},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.972920Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:55ae278f36b4040d94dbdc1c4b3c0b025da757815888bece4469d0fad9cc1675","observation_id":"fd84b4d2-e4f6-491c-bcf7-dd9d487a7090","resolution":{"observed_at":"2026-08-07T23:52:01.316270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.306427Z","title":"Hypergeometric functions over finite field s","venue":null,"work_id":"33d45299-291b-41f9-89b9-96e8ff716955","year":1987},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.975825Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:9dcd5f10a2ecb8483a42f7c659b48c2caebdefe07a6e47c6cdb9556c015b2af4","observation_id":"1e92b8fd-c597-40af-8dc3-c43cc2f8d720","resolution":{"observed_at":"2026-08-07T23:52:01.309181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.299552Z","title":null,"venue":null,"work_id":"d7a96eff-a480-4ab5-817c-f1f95daa47f6","year":1978},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.978808Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:a00e8e69b80b58f2e2a3ec2884ed991eff91602b7ba322e3007854d1b36fab6d","observation_id":"16670784-dee1-43a1-8eb9-4922b0e0af2f","resolution":{"observed_at":"2026-08-07T23:52:01.302203Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.292721Z","title":null,"venue":null,"work_id":"82a4967e-c7b4-4fdb-b634-83a8731db626","year":2011},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.982043Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:b2e450f099efc4923febe6671de01c342b5d22a719eb6269aaa0e9c6e6be0909","observation_id":"0a09c2b2-96e3-4d29-966a-6da3f1af97f0","resolution":{"observed_at":"2026-08-07T23:52:01.295272Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.284200Z","title":"Gross and Neal Koblitz","venue":null,"work_id":"1bf80ab6-529c-4f22-a8f0-57e6ea382c24","year":1979},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.984782Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:ba621320bf7c4d92bb06b5eca766890e3db03a5cde8a4ca2a70aa64a1a0d6c4c","observation_id":"924d1a70-e862-493a-a1f5-3e76cbae86e9","resolution":{"observed_at":"2026-08-07T23:52:01.287929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.276385Z","title":"A classical introduction to modern number theory , volume 84 of Graduate Texts in Mathematics","venue":null,"work_id":"b1c19918-e187-4c10-998b-0649ba580838","year":1990},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.987433Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:90291ef1378809f998bed1a5b142d6df2a36cec711955022dd0ebe706b9afc67","observation_id":"c9fbcccd-c562-45bb-b72d-2a8e10c10fe5","resolution":{"observed_at":"2026-08-07T23:52:01.279307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.268302Z","title":"On a family of quotient s of Fermat curves","venue":null,"work_id":"f778fb6a-00ec-43f7-9b8e-c621d7890cf8","year":1995},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.990084Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:dd63805a753c3117cccae5db699447d2b1f46949d0c3d24793e3ec80799ae696","observation_id":"f5017106-710a-4a90-bbd3-a8fc52e30e0c","resolution":{"observed_at":"2026-08-07T23:52:01.271324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.260452Z","title":"Simple factors in the J acobian of a Fermat curve","venue":null,"work_id":"03f355ca-9d8b-43f5-bda6-2276baac3bea","year":1978},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.992838Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:4f2d087ced44c29142a0176eb2c515f034b6c8934f9887af4e1ad623bb78000c","observation_id":"45d301f1-eec4-4bb4-a127-e6e496445e0f","resolution":{"observed_at":"2026-08-07T23:52:01.263395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.252834Z","title":"Compu ting special L-values of certain modular forms with complex multiplication","venue":null,"work_id":"fdc4051d-ca42-4fe7-aaaa-f16a39bed9f9","year":2018},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.995527Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:b465d064c77b467440d26c7a8765eaa4954b947dfe4b746e88372af8a4effea2","observation_id":"2aa3cd61-b2c0-4933-82a4-fab34bb844c3","resolution":{"observed_at":"2026-08-07T23:52:01.255684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.245415Z","title":"On Hecke operators and products of the Dede kind η-function","venue":null,"work_id":"915324cf-91ba-4522-a3f8-5969954e4cbf","year":1996},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:00.998227Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:3d71b3bc7185e659c097843a49ba0e6f0ea1bde63fbe0c0d7f43436202551ae3","observation_id":"ba510b04-75c4-4afe-8269-d172d68c88d7","resolution":{"observed_at":"2026-08-07T23:52:01.248323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.238259Z","title":"Eta-quotients and elliptic cur ves","venue":null,"work_id":"1d135573-0c94-4d4b-b48a-a5344aa81c46","year":1997},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.001064Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:f2561fdcd04e03c9188065969c99e71711fbc50086e7d7eff7acfd1a013aa9bb","observation_id":"8923ff1a-d48a-4e17-9bc5-60372a961672","resolution":{"observed_at":"2026-08-07T23:52:01.241117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.230736Z","title":"Interpolated sequence s and critical L-values of modular forms","venue":null,"work_id":"013deea8-50ae-4078-9925-f93121b7a06e","year":2019},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.003789Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:b7295699788bd2ed4fa707aaabc4617e16ab9dd7d39ae04417c6ab45f720fcb7","observation_id":"b3121d6e-2ac6-49fd-be97-3359ccfd1a7e","resolution":{"observed_at":"2026-08-07T23:52:01.233729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.222610Z","title":"On special values of Jacobi-sum Hecke L-functions","venue":null,"work_id":"0ec080d5-3812-4111-9e24-a06309cb28c3","year":2015},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.006567Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:e9beecfaff34a2f3ccbec88caede1d5b8036fd3b9e6eaacaf446ac63d4136c4a","observation_id":"af83e25e-ee9a-44c0-b9a8-4bcc6f03fe25","resolution":{"observed_at":"2026-08-07T23:52:01.225605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.214404Z","title":null,"venue":null,"work_id":"5765f11e-67d3-4bcf-bf60-34732a9a6dc2","year":2004},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.009321Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:8dee0b7dbd26b9c1a33c0b9f578a93ca12619486b1a6c0ec199b0128f6719bfb","observation_id":"045575f7-44b2-41fd-ae7e-325449e69227","resolution":{"observed_at":"2026-08-07T23:52:01.217311Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.206185Z","title":"Modular Functions and the Fermat Curves","venue":null,"work_id":"abcd847f-bb81-43f0-b5a8-8a2566981991","year":1976},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.012064Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:1a5f94292c5c88a0a6e128281727de94852e4604d7bdf0171dc33b51dab1ef59","observation_id":"c9d1c1d8-438e-491f-ab69-2eb226e5f123","resolution":{"observed_at":"2026-08-07T23:52:01.209337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.014936Z","title":"Transcendence of 3F2(1) hypergeometric series and L-values of modular forms","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.014936Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:e1e582340b51dd1e51c22cfc569b02b27247e92e93fa1e45395bc6bb6795ba48","observation_id":"b20704e5-8775-42c4-b39d-2ce3773ef2f5","resolution":{"observed_at":"2026-08-07T23:52:01.014936Z","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":"2026-08-07T23:52:01.198265Z","title":"On elliptic curves with complex multipli cation as factors of the Jacobians of modular function fields","venue":null,"work_id":"2dfa54fc-c968-413b-ac9f-4ffdc67cdee7","year":1971},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.017677Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:956d1478d0aba14f16edc9d1cf6784fb6310b1084348f0afe9404f68ab215b74","observation_id":"f401992d-32ec-4241-a2ec-fd98e99ba422","resolution":{"observed_at":"2026-08-07T23:52:01.201535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.189756Z","title":"Modular forms, a computational approach , volume 79 of Graduate Studies in Mathematics","venue":null,"work_id":"bd6dae00-3583-4a9b-81f0-9d161ca2448c","year":2007},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.020403Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:66a8de5857cf3416b4ffb7d517b08e06ccb46ba91b4adbf2d1d0744e10c6944e","observation_id":"c9e1ada9-3647-4034-8c8a-e3099c0726a4","resolution":{"observed_at":"2026-08-07T23:52:01.192877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.181968Z","title":"On the Picard-Fuchs eq uation and the formal Brauer group of certain elliptic K3-surfaces","venue":null,"work_id":"b469152e-26cf-4751-a235-db09c494e81a","year":1985},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.023258Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:a4367d2595b4832321aab2e37c6d36f79ac52e9a4fa025aced1d8fb32644b2e4","observation_id":"dc1c9026-b857-426f-8e6d-691bcdbeb18c","resolution":{"observed_at":"2026-08-07T23:52:01.184985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.172457Z","title":null,"venue":null,"work_id":"3de83ad1-1e3e-4854-9c5e-7243328ce8e1","year":1983},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.025956Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:4f01ad109b636fffc5fd06c048ec2617614d26b8739215d9c90a489c01c73edd","observation_id":"92f0256b-3fa2-40e7-859c-9c39397794f7","resolution":{"observed_at":"2026-08-07T23:52:01.175742Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.163321Z","title":"Gr¨ ossencharaktere","venue":null,"work_id":"c371833c-8edd-4959-a757-4a577801d5f7","year":1952},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.028678Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:b1281a92b2119e7710c29583be003bf157e898aac9913bdfa79615a09a61c7c6","observation_id":"16e75dff-9826-4377-acf3-aa101bb5e1fc","resolution":{"observed_at":"2026-08-07T23:52:01.166596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.153644Z","title":"W erte hypergeometrischer Funktionen","venue":null,"work_id":"b2f1634f-92ec-4b14-982b-227e47346d59","year":1988},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.031220Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:f9ef95d3311b42ada3fe4e64f39943c5cbe0a68927bc0beefaefe8f2c5e91209","observation_id":"445ecb6a-0d06-45d1-a822-e5a7a05b3f4c","resolution":{"observed_at":"2026-08-07T23:52:01.157440Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.145324Z","title":"The arithmetic and topology of differential equations","venue":null,"work_id":"ae9da350-b7c4-454e-ad16-85e6d41cd309","year":2018},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.033857Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:fe57283071d215ed1572d41886a1dc945cc7f905aa7fa06e3e6961e6a90bac0c","observation_id":"1d287e63-c8e1-4e5e-a80a-a633327870eb","resolution":{"observed_at":"2026-08-07T23:52:01.148313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:52:01.137295Z","title":"A hypergeometric version of the modular ity of rigid Calabi-Yau manifolds","venue":null,"work_id":"880234db-4ac5-416c-9722-554cc31200ed","year":2018},"citing_paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T23:52:01.036634Z"},"links":{"citing_paper":"/paper/2502.08760"},"observation_digest":"sha256:43a6fe56b90737d59c21e4a4f9036142de21b66367f4b40512a21a8b6fd21c10","observation_id":"9079577f-1b43-4cf9-a07d-21fb634950ac","resolution":{"observed_at":"2026-08-07T23:52:01.140219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2502.08760","last_updated":"2025-02-12T20:06:26Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-10T19:44:26.460161Z","submitted_at":"2025-02-12T20:06:26Z","title":"Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":26},"total_outbound_references":33},"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 33 of 33 outbound references and 2 inbound Pith citation observations for arXiv:2502.08760."}