{"as_of":"2026-08-20T20:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dc17d70e91b9728be602f7ee2cab7438e16d83c32cad5c8ec2e4a6b4f39aa5bf","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-25T02:13:40.982977Z","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":"2026-08-20T06:33:59.587034+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/1907.02737/citation-record","integrity":"/paper/1907.02737/integrity","json":"/paper/1907.02737/citation-record.json","paper":"/paper/1907.02737"},"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":"Baldi, On a conjecture of Buium and Poonen, arXiv:1803 .04946","venue":null,"work_id":"fa37433c-a82d-4b57-825e-eacec3c3371c","year":null},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:add0c7745251b41d5e07855f4c2bd1c5dc220339e67a4e0d81fea6f555db8443","observation_id":"49ddce92-c2b8-4a15-a26f-b3ad54e2e01c","resolution":{"observed_at":"2026-05-25T02:16:34.139862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.01955","last_updated":"2018-07-04T14:12:51Z","snapshot_observed_at":"2026-08-14T21:31:41.578956Z","submitted_at":"2016-11-07T09:34:20Z","title":"CM relations in fibered powers of elliptic families","version":5},"cited_work":{"arxiv_id":"1611.01955","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1611.01955","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Barroero, CM relations in fibred powers of elliptic fam ilies, J","venue":null,"work_id":"0f14337b-d8a9-4da6-8d32-bfabe6787044","year":2017},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"cited_paper":"/paper/1611.01955","citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:4cac031eca71f874f1601c2d140772db63c2687ece6b37462963014bd4eb3faa","observation_id":"d1824ec9-5db8-4748-a018-9ae1ab56aebc","resolution":{"observed_at":"2026-05-25T02:15:14.257337Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Bombieri, D","venue":null,"work_id":"18fb255d-70c8-4008-9802-9d5c3bbb8403","year":2007},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:1762217980254000f63050ab1a144b99272106a9533836fce029b66b23d4c5c7","observation_id":"7834042d-e27e-411a-afe5-54998cf8f3be","resolution":{"observed_at":"2026-05-25T02:16:34.142984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Bruin, Bornes optimales pour la diff´ erence entre la ha uteur de Weil et la hauteur de N´ eron-Tate sur les courbes elliptiques sur Q, Acta Arith","venue":null,"work_id":"c9c862d0-501f-482a-b722-bc5265195f1d","year":2013},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:224e51753cf985ec78c5a67d8198f696ebe13698ad39032758213a06c23e2416","observation_id":"bc9201d1-979e-4419-a288-5a1d397daa51","resolution":{"observed_at":"2026-05-25T02:16:34.122790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Buium and B","venue":null,"work_id":"8c7176f4-3864-4338-bff6-f16a8d3884f9","year":2009},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:0ee1899a2005816926e60838e4d94edd88f33af94ecda47fac652298f4a4f144","observation_id":"45ded3bb-f951-4373-a4e4-7091f39f80ad","resolution":{"observed_at":"2026-05-25T02:16:34.125935Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Buium and B","venue":null,"work_id":"735c0ad8-3684-4bea-a087-3818d98987c4","year":2009},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:8d1fa3eaa845eae21bfdf195c19b0466fefc6eca6d83021a814ad9d2d3b1764f","observation_id":"a362d233-cd44-47fb-b780-46401d968432","resolution":{"observed_at":"2026-05-25T02:16:34.135902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Daw and J","venue":null,"work_id":"db43d0cc-1e4f-4f16-8f81-4e293d9c4297","year":2018},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:758c887d014e13bc1c17aeef35e4892c9044d65a4cc2c747ee6a023863b785fd","observation_id":"c5696705-5140-467c-aa2f-da44e60a508a","resolution":{"observed_at":"2026-05-25T02:16:34.119955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.05701","last_updated":"2019-04-17T06:56:51Z","snapshot_observed_at":"2026-08-17T13:51:42.002132Z","submitted_at":"2018-01-17T15:03:00Z","title":"Unlikely intersections between isogeny orbits and curves","version":5},"cited_work":{"arxiv_id":"1801.05701","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1801.05701","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dill, Unlikely intersections between isogeny orbits and curves","venue":null,"work_id":"b62a252c-df5c-4d9c-a601-678de1836dd7","year":null},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"cited_paper":"/paper/1801.05701","citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:530d7f24bae5666f9e8baad814f62b8312b25cbe9e7882e4a66fe9f0792715d1","observation_id":"66c2578d-ffe6-4886-96b0-6f555cec05e9","resolution":{"observed_at":"2026-05-25T02:15:14.247857Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.01323","last_updated":"2019-12-20T15:57:07Z","snapshot_observed_at":"2026-08-14T17:21:15.485567Z","submitted_at":"2019-02-04T17:19:23Z","title":"Unlikely intersections with isogeny orbits in a product of elliptic schemes","version":2},"cited_work":{"arxiv_id":"1902.01323","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1902.01323","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dill, Unlikely intersections with isogeny orbits in a product of elliptic schemes","venue":null,"work_id":"a89410ab-0661-4727-b784-e65a6dff7a94","year":1902},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"cited_paper":"/paper/1902.01323","citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:6f5e33b91d702cd3a8a216ce33b75279c9b8b1c8c7521fece583eda16d51d021","observation_id":"6a69d824-9a08-4ed6-8044-74e947b78e30","resolution":{"observed_at":"2026-05-25T02:15:14.242610Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.01408","last_updated":"2020-05-22T11:00:48Z","snapshot_observed_at":"2026-08-14T19:07:34.913039Z","submitted_at":"2018-06-04T21:59:51Z","title":"Mixed Ax-Schanuel for the universal abelian varieties and some applications","version":2},"cited_work":{"arxiv_id":"1806.01408","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1806.01408","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Gao, Mixed Ax-Schanuel for the universal abelian var ieties and some applications, 2018 preprint","venue":null,"work_id":"a2706628-6251-4f78-af3a-af653309c082","year":2018},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"cited_paper":"/paper/1806.01408","citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:3ece0279de8dff93f424a3dd0a8007126610dd567bd6adb08deeabfb8bc8bfcd","observation_id":"18a0e245-0d0c-48d5-9771-4a1d9c45b787","resolution":{"observed_at":"2026-05-25T02:15:14.252523Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Habegger, Singular moduli that are algebraic units, Algebra and Number Theory 9 (2015), 1515–1524","venue":null,"work_id":"199b3e17-a3b3-4722-b7ea-5c4f2d6005d6","year":2015},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:18b8e965b01792edb89d7ab41df30ef23e66797043d34136588b8022cf7f9b9c","observation_id":"5b7c6c10-eaec-4979-88ac-84ca2272efda","resolution":{"observed_at":"2026-05-25T02:16:34.132433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Habegger and J","venue":null,"work_id":"f1a84318-8c34-469f-a8aa-ea1c23001324","year":2012},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:cae348bbe0256681d6f4b287846a213a3297968884520ff66c29a0af10fc167c","observation_id":"dd6b9a56-d89c-4f63-95f1-e8e71212f02e","resolution":{"observed_at":"2026-05-25T02:16:34.128901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Habegger and J","venue":null,"work_id":"0e84686f-4aab-48c0-a327-496eece4c44e","year":2016},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:f6bed331ed07ef25f2834c98ae28787e9c86bf0b0f15b21c867346f0aa5380d7","observation_id":"02e29ee9-274e-4025-80f7-a33e9e419fed","resolution":{"observed_at":"2026-05-25T02:16:34.063837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Khare and C","venue":null,"work_id":"889a2b3d-9303-4598-92f1-e4ff4d9410a9","year":2001},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:f0ebceffa99478ed447d6fbea47bfb86b930e5960f1a51076bad9dc4597b7fdf","observation_id":"dd438746-1ca8-493e-ac2b-fbd44b3072fd","resolution":{"observed_at":"2026-05-25T02:16:34.053346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.00998","last_updated":"2017-11-27T06:54:31Z","snapshot_observed_at":"2026-08-19T02:50:10.510222Z","submitted_at":"2017-09-04T15:16:20Z","title":"Intersections of Class Fields","version":2},"cited_work":{"arxiv_id":"1709.00998","doi":null,"metadata_source":"pith","pith_arxiv_id":"1709.00998","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Intersections of Class Fields","venue":"math.NT","work_id":"d1542927-49cd-4be8-955b-f6bd5c7ca6e0","year":2017},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"cited_paper":"/paper/1709.00998","citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:dcf92aa7fbccbcbc0ebc89d66b92e4c7d04be268f8dbff8f12b92dafbd81c810","observation_id":"214db187-6984-4e96-85b1-86cfe39c0e7e","resolution":{"observed_at":"2026-05-25T02:15:14.237456Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Masser, Linear relation on algebraic groups, New advances in transcendence theory, Baker (ed.), 248–262, CUP","venue":null,"work_id":"e262ac08-5c30-4bf1-adcb-2f23bbed81a8","year":1988},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:26d660295add0048029f722975b0e56fe6b6836f25e97527f2f99c0b51d9d449","observation_id":"bc9c86f5-e66e-4117-8209-0a602bf70a38","resolution":{"observed_at":"2026-05-25T02:16:34.056712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Masser, Specializations of finitely generated subgr oups of Abelian varieties, Trans- actions of the AMS , Vol 311, Number 1 (1989), 413–424","venue":null,"work_id":"6fd190d5-1145-41d6-bb1d-bca2737d5f2f","year":1989},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:6f715b9f6c975246378b144906a836c0935da70b6bc4d6645afb824518e5b642","observation_id":"d7dbad07-e2df-44dd-a897-d8faf2f3839e","resolution":{"observed_at":"2026-05-25T02:16:34.050067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Masser, G.W¨ ustholz, Some effective estimates for el liptic curves, Arithmetic of Complex Manifolds , Lecture notes in mathematics, Vol 1399, Springer, Berlin, Hei- delberg","venue":null,"work_id":"280a1ab7-bab8-4ac0-8de0-4def4b2b9a19","year":1989},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:aba721f22d8924280d197d593d3bbdcb0f98dfeaac9812a5173089a2817ac225","observation_id":"ae0ea5b8-ca39-41fa-ad0a-e828c0d8ada6","resolution":{"observed_at":"2026-05-25T02:16:34.060166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.02189","last_updated":"2018-09-20T17:05:18Z","snapshot_observed_at":"2026-08-19T19:55:05.246359Z","submitted_at":"2017-11-06T21:50:31Z","title":"Ax-Schanuel for Shimura varieties","version":3},"cited_work":{"arxiv_id":"1711.02189","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.02189","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ax-Schanuel for Shimura varieties","venue":"math.NT","work_id":"ee09ff93-9824-43c2-82d7-25e718f3106b","year":2017},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"cited_paper":"/paper/1711.02189","citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:0f88b512513d81c1cc20636eaeb91557c2e42a79612c7547eb9a494f0e4732f7","observation_id":"76ca73c9-a77c-4f18-b8d7-ddcf469bd0d3","resolution":{"observed_at":"2026-05-25T02:15:14.262503Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Nekov´ aˇ r and N","venue":null,"work_id":"52c7b7fa-8a6f-4faf-810c-5a4776dc4700","year":1999},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:f663647fb7e9838ab544793ce43ef69002c66adb92ef723f6e19b6b577172ac8","observation_id":"bf3c3cde-8d3d-40a3-9d15-7716ab9ae62c","resolution":{"observed_at":"2026-05-25T02:16:34.097816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Paulin, An explicit Andr´ e-Oort type theorem for P1(C) × Gm(C) based on loga- rithmic forms, Publ","venue":null,"work_id":"025d905e-2c53-437d-b16c-c5a5da4461c0","year":2016},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:757dcc76d494f65a6c5e16c921883212e2f9edbf67a4354f5e9f8c3ec4cc1cae","observation_id":"1daeab2c-9901-4807-bf18-7a03dec6734d","resolution":{"observed_at":"2026-05-25T02:16:34.091127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Pazuki, Hauteur Thˆ eta et hauteur de Faltings, Bull","venue":null,"work_id":"7bff6221-a3da-4254-abc9-1a2bd3714d4d","year":2012},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:ca5b3f68aa30da37ffa2a9d1db1b8c33cb51fc289ef2066826f982c5c1bf28e9","observation_id":"a0f81044-f0c3-4ba3-960a-ce01d9128000","resolution":{"observed_at":"2026-05-25T02:16:34.101451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Peterzil and S","venue":null,"work_id":"bfbbde13-12c1-49ce-b318-9a523048542b","year":2013},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:6657994383f0bdcff49e8a994bfd801fdbe0ae2c24576d0930f524b1bbef98d3","observation_id":"1a94ed93-d504-4fc8-8507-2dcd0864a97c","resolution":{"observed_at":"2026-05-25T02:16:34.084616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Pila, O-minimality and the Andr´ e-Oort conjecture f or Cn, Annals Math","venue":null,"work_id":"b3e08367-93eb-48a4-a980-541b957914eb","year":2011},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:959ed766361719f29209be5a9c531a3ec158c919635123b1166520daaf24269e","observation_id":"52465fe8-6a78-47ce-aa2d-db9eaf0c076b","resolution":{"observed_at":"2026-05-25T02:16:34.087828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Pila and J","venue":null,"work_id":"bcd0f43f-f278-4fc7-848b-057f43be2b07","year":2013},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:19867a4313fb9bf6451a42029e6639f73753719a8305f05062ec1d3da46726ed","observation_id":"dec56d37-10c0-4105-a297-d1a9300a6e1a","resolution":{"observed_at":"2026-05-25T02:16:34.094460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Pila and J","venue":null,"work_id":"b1888a26-1c17-4f53-aa5c-3955b8943cbc","year":2017},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:801cc364cfdbec4387fd9ce4b004f50c743b5e715347e21c75597b1dd0eb5726","observation_id":"3ec25ab5-b5e8-4f49-b16b-e35450cc4f04","resolution":{"observed_at":"2026-05-25T02:16:34.107950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Pila and A","venue":null,"work_id":"d47278bb-8a8f-4326-b3f2-eb21006ede77","year":2006},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:9dbb5ab4ea6b68c70a4497eabe09bddf4521b2e6211f5de3663c7a9bd3bd7163","observation_id":"ea84e3d3-797a-43bb-a93c-47bacde69432","resolution":{"observed_at":"2026-05-25T02:16:34.104468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"746da00c-46e1-4cfd-8533-d1b11a8478e7","year":2005},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:c9fb4b53b834308ac8f745d32a860e34756428aba2b954e0c05f4e7a7bc4a506","observation_id":"fbda1e24-8ffa-44c9-b361-5e4c561544c0","resolution":{"observed_at":"2026-05-25T02:16:34.117518Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Pink, A common generalization of the conjectures of A ndr´ e-Oort, Manin- Mumford, and Mordell-Lang, manuscript dated 17 April 2005 a vailable from http://www.math.ethz.ch/∼pink/","venue":null,"work_id":"29474009-7912-42ea-b6eb-9f726246248c","year":2005},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:7b5d60c6062d67d0f76d03535134fcd845b7d8070585bfbddb0c84cb946ace80","observation_id":"f4b07f99-fe54-468f-b287-94036f63a7b9","resolution":{"observed_at":"2026-05-25T02:16:34.114742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Poizat, L’egalit´ e au cube, J","venue":null,"work_id":"6a73e6fa-c516-4e69-9e76-76108aba90ef","year":2001},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:fa0be6ea421340cd05a0490a2b8091d225b8edba3b2a36b492a3a6404232fa11","observation_id":"690d62a6-302c-4de8-b612-2ba1d883665a","resolution":{"observed_at":"2026-05-25T02:16:34.111576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Rosen and J","venue":null,"work_id":"c01dc551-bea2-42fe-82ba-3ad4044f9c4b","year":2007},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:2aa57b71295f42f3000767a00a5dc9cdc5c042eff945deee5e5d7c0ce9e90594","observation_id":"b0e9e9e7-4a20-4a79-b875-de2dfa296c12","resolution":{"observed_at":"2026-05-25T02:16:34.070672Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"S ¸ahino˘ glu, On the independence of Heegner points o n CM curves associated to distinct quadratic imaginary fields, Proc","venue":null,"work_id":"9ff6db73-3ce8-48e1-ace9-1b964d3aa501","year":null},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:a710df8e78107d72648adda8c6031cfb8d4e14c7f91033e00f628bff7e8acbe7","observation_id":"754ae934-d766-4811-8b2c-7db876030a86","resolution":{"observed_at":"2026-05-25T02:16:34.074282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Tsimerman, The Andr´ e-Oort conjecture forAg, Annals Math","venue":null,"work_id":"59853210-dc79-46df-87bd-41d7fe3b45f3","year":2018},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:6807d5126f62426fde38740e3e4a87278499a201614959b053c95280bf3d5099","observation_id":"77e28721-58ce-409a-a0aa-d02f71f5dd5e","resolution":{"observed_at":"2026-05-25T02:16:34.067556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Zhang, Equidistribution of CM points in Shimura Vari eites, Int.Math.Res.Not","venue":null,"work_id":"d63a1dcb-9451-4f65-8d09-aea99b41fc0c","year":2005},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:be4472e2dd6f52a99ed7860806ad589782468e8b5c5983e4e6f7292d2d628c10","observation_id":"851a42b5-9890-4079-a697-6c06a42d9f15","resolution":{"observed_at":"2026-05-25T02:16:34.078020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"Zilber, Exponential sums equations and the Schanuel conjecture, J","venue":null,"work_id":"15c12b5e-125a-4ef2-9e49-d38585a01ccc","year":2002},"citing_paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-25T02:13:40.982977Z"},"links":{"citing_paper":"/paper/1907.02737"},"observation_digest":"sha256:bdb9ce9db6b724b168a9d348af1578cd8c25c25d1ea7830ce83e8d32d7365517","observation_id":"2bdd4b90-6f9e-40ad-9856-7bd940144391","resolution":{"observed_at":"2026-05-25T02:16:34.081480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1907.02737","last_updated":"2019-07-05T09:28:08Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T08:05:18.374393Z","submitted_at":"2019-07-05T09:28:08Z","title":"Independence of CM points in Elliptic Curves"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":6,"verified_fuzzy":28},"total_outbound_references":35},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1907.02737."}