{"as_of":"2026-08-20T02:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:667eea475ae8d4d95834c04a2f06c6979577ebfbf99e11ef5e53a942d924ba11","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-18T19:53:32.722709Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2509.03998/citation-record","integrity":"/paper/2509.03998/integrity","json":"/paper/2509.03998/citation-record.json","paper":"/paper/2509.03998"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ecd7f6ae-a510-4c09-a6a5-b8afd0735925","year":1991},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:ad316ef6f6170703da86531251d738103027caeecc075359e1985f8ebdef4aae","observation_id":"74076072-6261-43f2-9fd8-9906ef32e791","resolution":{"observed_at":"2026-05-18T19:56:50.855718Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Bosch, W","venue":null,"work_id":"0abc69fc-543b-4269-b88b-ecaade601099","year":1990},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:b8d91164efbd3458a2b5c5a410ae29733f57d62752e85884eaeef990e14830ef","observation_id":"b6abde69-e41e-4c3b-8187-8f605b2936a1","resolution":{"observed_at":"2026-05-18T19:56:50.862287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Campana,Connexité rationnelle des variétés de Fano, Ann","venue":null,"work_id":"a857e061-d8a4-486a-800c-590f88e02b63","year":1992},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:4e63505c22dca65f7cfbe94ce86bb785edc12150ee7c6dbfb6c5648627100fec","observation_id":"06a4432c-4e16-43ee-834c-61b8b9b9c78e","resolution":{"observed_at":"2026-05-18T19:56:50.845974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Z.243 (2003), no","venue":null,"work_id":"dcafc200-45ca-4130-9725-735d53e3b603","year":2003},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:367617895eb0f63889d155690fb748f00294eb9e3cc08c85afc8651bbf66074a","observation_id":"844f70b9-73cc-4dc7-add2-d49c78d96561","resolution":{"observed_at":"2026-05-18T19:56:50.849247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Chambert-Loir and Yu","venue":null,"work_id":"c3b06721-ff56-4aeb-a4c7-e1d29eb1d6d4","year":2010},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:28bcc9e49cc897fed4239926fe1dd4bceac8b4fac4b5d84e9bd07b1800bf307d","observation_id":"d110608d-2da6-43e2-8b3f-851840db11a2","resolution":{"observed_at":"2026-05-18T19:56:50.852437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Chambert-Loir and Yu","venue":null,"work_id":"29631a6e-ce46-40c3-8e91-bad29d42d9e2","year":2012},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:2a7a4b58fac63cb107571dc9878400a90bdc6950c232215ee03b81a76a266c78","observation_id":"d89510f2-c4b6-4800-bf5e-0cd3f5a249fe","resolution":{"observed_at":"2026-05-18T19:56:50.839048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Chen and Y","venue":null,"work_id":"d73523b8-1bde-4209-a712-e9a776850198","year":2019},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:e35b05954a2257af6b5e47381674ec4ed586fced8ced593a63b2a759db737362","observation_id":"5a0d54f0-bad2-440d-8ae6-78fc9b0cb858","resolution":{"observed_at":"2026-05-18T19:56:50.865486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Colliot-Thélène,Points rationnels sur les fibrations, Higher dimensional varieties and rational points (Budapest, 2001), 2003, pp","venue":null,"work_id":"ff69d8b2-40e4-4824-b351-d8f63f0daae5","year":2001},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:00ee259b4beef591578fea850c825f5c6a5500b5df805787b1b3741205188a83","observation_id":"f34cabfd-1cc0-4e83-8518-e1a7772467bc","resolution":{"observed_at":"2026-05-18T19:56:50.878728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Franke, Yu","venue":null,"work_id":"8c34a1a1-9190-4039-96b1-21ffdb94ac5e","year":1989},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:779fe97821e0a095f43e21cc3f8e3c2b53e39bc72e8ca8fae88853215968ae0a","observation_id":"019f93f6-c0a4-4be7-8e4c-c57580726758","resolution":{"observed_at":"2026-05-18T19:56:50.832613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Frei and M","venue":null,"work_id":"808c578d-7f61-49a4-86ec-59f7d4d029a1","year":2016},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:e1ec9524495010390cb8d320c6b6af33bd1497f9fd24a4aba947f2cfa9f40f88","observation_id":"903bb9c9-b22b-4fd5-ba55-0c945916a076","resolution":{"observed_at":"2026-05-18T19:56:50.835857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Huang, Distribution locale des points rationnels de hauteur bornée sur une sur- face de del Pezzo de degré 6, Int","venue":null,"work_id":"e381767c-edfa-4f88-ba72-c20af34b309d","year":2017},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:2c6154aa93e9ce7f4da59e812fc204be99d8b1812c92dff6ff4e93a5a015c088","observation_id":"844380f5-e9ac-4687-957f-959895997831","resolution":{"observed_at":"2026-05-18T19:56:50.874965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Huang,Approximation diophantienne et distribution locale sur une surface torique, Acta Arith","venue":null,"work_id":"5be36f2b-b9b4-4708-ab80-9b220e52f48a","year":2019},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:b38683a5a73aef40b6726884ac86b44b48ef77c8e1b6a3dca2724aebf2e65ff2","observation_id":"52b8d903-bd7b-4a33-8e8f-e6fc99dc3741","resolution":{"observed_at":"2026-05-18T19:56:50.825998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Huang,Approximation diophantienne et distribution locale sur une surface torique II, Bull","venue":null,"work_id":"0534d620-9635-4fbd-a3c4-7a170c586460","year":2020},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:4db19b8fab05a3f3e13e9f2226ed6879c5019d42414153b137c0aae4aca43cf0","observation_id":"f3944559-df33-46b9-a20b-344c3cfad780","resolution":{"observed_at":"2026-05-18T19:56:50.871734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Huang, Rational approximations on toric varieties, Algebra Number Theory 15 (2021), no","venue":null,"work_id":"fae8c760-439f-430a-afd9-c182f56e1068","year":2021},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:198e6a0fd10649f38d21df0a031cc594f2c3e91a34e7934385ff329012174e56","observation_id":"c57287ef-ab47-4465-b00f-62b1228c567c","resolution":{"observed_at":"2026-05-18T19:56:50.868694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e7c1fb20-cbea-43bc-a014-7f560a763f1d","year":1999},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:32395155cddbbdf4f85bb703f4e5d2a60d8aa9758eb89cfc80b21a029a2045fe","observation_id":"621e02ab-876b-4867-a216-04b5c591d5b1","resolution":{"observed_at":"2026-05-18T19:56:50.822488Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Algebraic Geom","venue":null,"work_id":"007f329d-bd5f-4ac8-9527-df755cc71663","year":1992},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:1b752f50b2c521564fe3821e8a911566788cb404973a2524b5edeaefceb236b8","observation_id":"1b750892-296c-44a7-8b4c-7a5a1198ddd0","resolution":{"observed_at":"2026-05-18T19:56:50.829124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Lehmann, A","venue":null,"work_id":"ce0dfd30-8d0c-4da9-9924-660a96f03049","year":2022},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:1cc1aad0b5c149a940018a5b7f933fc0f4b89d7d94a91883c7861bba3f22a3ed","observation_id":"6397d795-9a69-4b8f-a43e-277043a3160b","resolution":{"observed_at":"2026-05-18T19:56:50.842356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"16 (2007), no","venue":null,"work_id":"24749f47-cdeb-409b-ba5b-aee6d860f9ea","year":2007},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:23e0802212829a3c095c4957c6df26172fe490d025686b8d55a02da871b4be24","observation_id":"a296f8c2-337c-4102-bb07-a89554674872","resolution":{"observed_at":"2026-05-18T19:56:50.859127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"McKinnon and M","venue":null,"work_id":"24bd92a2-00f5-4d5c-82b0-ca80dadbc939","year":2015},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:c01afcfd2c746b9d67504b48bab23fb7ceb91fdde3ad5e64bf2f190fb7acb852","observation_id":"7416931f-9162-4a38-a8f0-2872dafa4908","resolution":{"observed_at":"2026-05-18T19:56:50.815615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Ortmann, Integral points on a del Pezzo surface over imaginary quadratic fields, Res","venue":null,"work_id":"338de65a-d26c-47d0-8092-d84d324e8780","year":2024},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:379f446f9828faac1f05ffdf4bbe39d729bbe89a15bfee2f0b0ca22b0f16fc11","observation_id":"a4e0c926-ef49-4bbb-bc35-0167f57c4933","resolution":{"observed_at":"2026-05-18T19:56:50.819130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Peyre,Beyond heights: slopes and distribution of rational points, Arakelov geom- etry and Diophantine applications, 2021, pp","venue":null,"work_id":"b8fac172-f2c1-4154-b9ad-775407baf776","year":2021},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:4a86b2b271c460f37f5f2b2c390026bc1921c8085617a31b6280bd4fb46bb834","observation_id":"97384e09-3397-448e-bfb4-ebce8ce206c9","resolution":{"observed_at":"2026-05-18T19:56:50.812183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"27f497c2-730a-43f8-a087-e3ce6cfe3cd7","year":1955},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:5956f12a21de857b1e23dcf506840c652e70317a62919d559abeef6806963183","observation_id":"87efa326-4c29-491e-9d18-840019a5ccfb","resolution":{"observed_at":"2026-05-18T19:56:50.800235Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Salberger,Tamagawa measures on universal torsors and points of bounded height on Fano varieties, Nombre et répartition de points de hauteur bornée, 1998, pp","venue":null,"work_id":"4f908ee5-0ad8-4455-b0f0-e111847cdfaa","year":1998},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:6817444c83e31aec7c378a483718be92d39a587059ae49305fee16ad7d4222ff","observation_id":"6fb8ec2e-b5a9-44b8-9496-34234d394c4f","resolution":{"observed_at":"2026-05-18T19:56:50.792527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13914","last_updated":"2025-08-01T13:24:20Z","snapshot_observed_at":"2026-08-16T14:32:34.071939Z","submitted_at":"2023-12-21T15:02:19Z","title":"Manin's conjecture for integral points on toric varieties","version":2},"cited_work":{"arxiv_id":"2312.13914","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13914","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Manin’s conjecture for integral points on toric varieties","venue":null,"work_id":"cb50d70c-2741-4ce6-8568-997afe01f79d","year":2023},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"cited_paper":"/paper/2312.13914","citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:c49c8b99aec0023e3af9053186cd7937763064f5ebc13076c557a6a382e0e662","observation_id":"118ac6e8-0795-46cc-bc38-816bed562fed","resolution":{"observed_at":"2026-05-18T19:56:49.523005Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Serre,Lectures on the Mordell-Weil theorem, Aspects of Mathematics, vol","venue":null,"work_id":"99f9f07d-89e4-42ef-add1-fb5e00a25927","year":1989},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:471248afe27f9c8164b8986b8d916dd8d48f47624f9ff052a475b15b58f69907","observation_id":"60b20582-b7bf-4e93-94a3-d1d57f0b493f","resolution":{"observed_at":"2026-05-18T19:56:50.796616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"872743e0-9b54-4981-ae4b-eefc69f6f3fb","year":1929},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:13e81eb93dad26d8d783521548b2b63abf07a737b626d34775b926723d8bd2fa","observation_id":"01a7480d-8f6e-49a1-89b6-df1cd1f07e05","resolution":{"observed_at":"2026-05-18T19:56:50.804228Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-06-05T21:23:00.469572Z","title":"Wilsch,Integral points of bounded height on a certain toric variety, Trans","venue":null,"work_id":"8ea81bce-06b2-42b1-bf6c-1bdd760ff246","year":2024},"citing_paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-18T19:53:32.722709Z"},"links":{"citing_paper":"/paper/2509.03998"},"observation_digest":"sha256:d81541e8710b398d2300dce32d9eac00ad414e73ac03674983cdaa783f1c307b","observation_id":"8b8c01de-25ec-4cae-9779-ab08ebf215df","resolution":{"observed_at":"2026-05-18T19:56:50.808278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.03998","last_updated":"2026-05-07T09:56:24Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-19T11:01:32.986265Z","submitted_at":"2025-09-04T08:27:13Z","title":"Integral Diophantine approximation on varieties"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":22},"total_outbound_references":27},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2509.03998."}