{"as_of":"2026-08-16T10:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:042ea81b893ff7812c4b1bc258ca2f1eead2bf750f78c894b4d2a2ca33eacc54","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:38:48.246057Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.19673/citation-record","integrity":"/paper/2506.19673/integrity","json":"/paper/2506.19673/citation-record.json","paper":"/paper/2506.19673"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:50.141646Z","title":"Bertolini, H","venue":null,"work_id":"2974d5a4-ac7e-4b0d-8f62-2759a04a8b30","year":2015},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.657661Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:58e86d1eee2b2f76d649f3b2563d4ba45de01b56ce33a68ce4cd87bd60141f87","observation_id":"986e7f23-eae6-4503-9477-c7fcfa7cf536","resolution":{"observed_at":"2026-08-15T18:38:50.149367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:50.038610Z","title":"Bertolini, H","venue":null,"work_id":"ccbe8ae1-e64f-44f5-9389-4f7f7319b227","year":2015},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.668997Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:e4e5bb5775cb5c14b3fd4de8595c27f66a07922b85c27e22fdcf59e9f10e9d3a","observation_id":"ef6958d2-8103-4891-9741-e4654ed5b66e","resolution":{"observed_at":"2026-08-15T18:38:50.080628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/s0010437x23007431","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:48.545784Z","title":"Caraiani and M","venue":null,"work_id":"03411d53-953c-401f-817e-de030a1cc7bb","year":2023},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.676247Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:ee39e7f19e3f7b365b10493654f3e9a36665e45a5ad423ee314cdf3a27dd825c","observation_id":"6ccab452-8333-4e90-9f47-00b45aee75cb","resolution":{"observed_at":"2026-08-15T18:38:48.553560Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:50.010984Z","title":"Dimitrov , On Ihara's lemma for Hilbert modular varieties https://intlpress.com/site/pub/files/_fulltext/journals/cjm/2017/0005/0001/CJM-2017-0005-0001-a001.pdf, Compos","venue":null,"work_id":"1627bbd5-cf2f-44f3-98b4-e9bd06e3ed90","year":2009},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.685349Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:b34166419458d05978ee85c31d111a34e16f6ef7392bfb603120d0dde4d6fd4a","observation_id":"c28dea39-b676-46aa-a424-35bd9035f16f","resolution":{"observed_at":"2026-08-15T18:38:50.018962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2013.0035","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.302778Z","title":"Dimitrov , Automorphic symbols, p-adic L-functions and ordinary cohomology of Hilbert modular varieties https://doi.org/10.1353/ajm.2013.0035, Amer","venue":null,"work_id":"aff08f38-0f32-44cd-b6e6-42955a532a83","year":2013},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.692385Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:cb40d1b482239e3d7e5266656b549f5eae66c533bb848b5f734adf38d17631ef","observation_id":"b7cb725c-1f8e-45a2-b683-148083b7884b","resolution":{"observed_at":"2026-08-15T18:38:49.386837Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.934739Z","title":"Graham and S.W.A","venue":null,"work_id":"eb399b4e-d6ed-4ac4-a76a-c1d04e84eddd","year":null},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.736240Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:9a1e3310ce7c1a128c194119161004459c502e327ef1aab5cdeebbf244380262","observation_id":"462c7d2e-7351-4482-b97e-d2ddac4de457","resolution":{"observed_at":"2026-08-15T18:38:49.973217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s1793042120501183","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:48.444020Z","title":"Grossi , On norm relations for Asai–Flach classes https://doi.org/10.1142/S1793042120501183 On norm relations for Asai--Flach classes , Int","venue":null,"work_id":"dc81cf1d-97b3-4e8e-a536-4da5e369258b","year":2020},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.855919Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:58db06624b0e2d21d33a37cf6f16fee11a88ef0e51ad2eb0c83506117018abd8","observation_id":"b8182856-7252-4191-a027-50f920a30782","resolution":{"observed_at":"2026-08-15T18:38:48.474233Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.17055","last_updated":"2025-02-17T15:28:04Z","snapshot_observed_at":"2026-08-16T03:09:38.221870Z","submitted_at":"2024-07-24T07:32:29Z","title":"Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)","version":2},"cited_work":{"arxiv_id":"2407.17055","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.17055","snapshot_observed_at":"2026-08-15T18:38:49.206810Z","title":"Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)","venue":"math.NT","work_id":"0f5c5f26-8db9-4887-bb35-dc55d2ac5a6f","year":2024},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.968043Z"},"links":{"cited_paper":"/paper/2407.17055","citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:0aa79d4c195f8e6c65ff41e3357eb6b6c11867858bd06c3cb11d6dfb769e92da","observation_id":"dc991737-3c0d-44a3-b234-c8da10ed6ad4","resolution":{"observed_at":"2026-08-15T18:38:49.217816Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s100970000026","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:48.386449Z","title":"Harris and A.J","venue":null,"work_id":"b79fe62d-3cae-43de-a67c-a7176aaae618","year":2001},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.977257Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:9411f3d47e1fc681fff1cf4fb136ca2c5ad39a78fd85ac1fec4157f15725a641","observation_id":"641cdbee-9408-4c14-9910-9f6fd052f461","resolution":{"observed_at":"2026-08-15T18:38:48.416809Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.917428Z","title":"Hida , https://eudml.org/doc/143381 Galois representations into _2( Z_p[[X]]) attached to ordinary cusp forms , Invent","venue":null,"work_id":"178959bc-dfc6-4204-b4e5-7697895e66b2","year":1986},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.986837Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:0d48d8378a43bbd61424c712c438c7e8fea03ec1f51c55e7036595e97f6b1be8","observation_id":"e772cc0d-ddd9-4fa4-81d4-6de7e29db663","resolution":{"observed_at":"2026-08-15T18:38:49.923361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"stable/1971444","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:48.989070Z","title":"Hida , https://www.jstor.org/stable/1971444 On p-adic Hecke algebras for GL2 over totally real fields , Ann","venue":null,"work_id":"c60b807b-f656-491b-940e-8e7e6dfb321e","year":1988},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:47.997486Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:22877714405434db95a97a234750a89902c3abcc224bf271b87db0e665b78340","observation_id":"3aa08b4a-3a29-411b-b801-354241f847d7","resolution":{"observed_at":"2026-08-15T18:38:49.061768Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.857144Z","title":"Kings, D","venue":null,"work_id":"01b72c83-b244-4a6c-a312-e7c100eddbbd","year":2017},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.002576Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:2c13c0ef9d4c6dfe2ca9674a832ca1315b29ddb3b5624c4d0d96f29509683b13","observation_id":"f6c4a79e-c4fe-460f-ae19-b6f468169a35","resolution":{"observed_at":"2026-08-15T18:38:49.890966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.838560Z","title":"Kings, D","venue":null,"work_id":"29b28ec3-7a88-4cb6-abef-3332d1ebc9db","year":2020},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.010373Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:cc31f2d5ddc72262748ed7af5487a3a95e916cb858d4aa487c3b2e4dc164501e","observation_id":"3d4014c4-2d6c-4f30-9f63-26bb8e86bf3b","resolution":{"observed_at":"2026-08-15T18:38:49.844051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.794000Z","title":null,"venue":null,"work_id":"9acc78fa-4989-464c-a4e1-f0b91f4498e2","year":2014},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.016544Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:8bf99a12fe01688ada75b0ffda0899224b200b2fa122a535c2f56f288e956580","observation_id":"4452adbf-ab5f-4ce0-b65a-75d7ef313b6e","resolution":{"observed_at":"2026-08-15T18:38:49.823552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.734949Z","title":null,"venue":null,"work_id":"29bf2c3e-1f06-45f9-8596-aa9df157fee5","year":2018},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.030600Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:5be897c74bc8126e2824d2a125e43bc5b930cb17d89f37990dd83ad711260e6e","observation_id":"4e0801b4-71b9-4a46-91f8-6259ead6956b","resolution":{"observed_at":"2026-08-15T18:38:49.763626Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.16082","last_updated":"2024-07-30T10:23:53Z","snapshot_observed_at":"2026-08-15T06:52:42.395288Z","submitted_at":"2021-06-30T14:14:31Z","title":"Spherical varieties and p-adic families of cohomology classes","version":3},"cited_work":{"arxiv_id":"2106.16082","doi":null,"metadata_source":"pith","pith_arxiv_id":"2106.16082","snapshot_observed_at":"2026-08-15T18:38:48.876717Z","title":"Spherical varieties and p-adic families of cohomology classes","venue":"math.NT","work_id":"f626e553-fa77-44ad-bf40-15208dedb1b6","year":2021},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.040472Z"},"links":{"cited_paper":"/paper/2106.16082","citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:16ff40463092a1bed384a20ae40ed0cfe1aab2a68ac19477c6a51dbbc14dffc5","observation_id":"03a4460a-4583-4ca2-a999-ac1fe39d3c84","resolution":{"observed_at":"2026-08-15T18:38:48.887759Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"articles/2227766","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:48.735625Z","title":"Loeffler, C","venue":null,"work_id":"4f39f796-4530-4097-a967-06643de64b5f","year":2022},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.048054Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:ba7367f703adb1bae30523106e16421e7040926e71309f95678797f8b04419c3","observation_id":"77837db7-fb71-43ab-85b2-c0679b5e2dc1","resolution":{"observed_at":"2026-08-15T18:38:48.838929Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.12576","last_updated":"2026-04-27T11:58:58Z","snapshot_observed_at":"2026-07-25T23:21:22.696355Z","submitted_at":"2024-11-19T15:42:59Z","title":"A universal Euler system for GSp(4)","version":2},"cited_work":{"arxiv_id":"2411.12576","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.12576","snapshot_observed_at":"2026-08-15T18:38:48.591240Z","title":"A universal Euler system for GSp(4)","venue":"math.NT","work_id":"c1605612-0500-4e52-afab-1914e99ea2a8","year":2024},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.055535Z"},"links":{"cited_paper":"/paper/2411.12576","citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:3098620b048a2fe23bbb401e0c6062bb9b3ee7afce17c804deefa0efec593c97","observation_id":"8c714443-5e39-411a-9335-4e59f8b0d74a","resolution":{"observed_at":"2026-08-15T18:38:48.602811Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.709011Z","title":"Mauger , https://eudml.org/doc/82629 Algèbres de Hecke quasi-ordinaires universelles , Ann","venue":null,"work_id":"969c5a51-a9a9-4f82-83be-e758d3a39851","year":2004},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.065732Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:ab1d555f15d41615c5819c07c2c03d16d58319b1cf9de9f75e25f0f0373e3cac","observation_id":"de5af836-6a0e-4ca4-a5b8-97de4be08918","resolution":{"observed_at":"2026-08-15T18:38:49.714545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.619052Z","title":"Milne , https://www.jmilne.org/math/xnotes/svi.pdf Introduction to Shimura varieties , lecture notes, 2017","venue":null,"work_id":"66e2118c-43f9-43ab-b9e7-5835b3756467","year":2017},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.074425Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:7e5f592dcba3188917855d911340b6181bd114ac41db2be1ef10abc6fa07cd73","observation_id":"43b4cac4-6eeb-4fd9-9978-2c355c6a6fec","resolution":{"observed_at":"2026-08-15T18:38:49.664099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.585104Z","title":null,"venue":null,"work_id":"eeb4a0c0-5962-4974-8045-e0fa6a2add4e","year":1999},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.117438Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:609dd1721e06800be7d61f4306df522546a6fb4fd7159af887be1a9453e0dc30","observation_id":"a645e913-23c9-4c65-908a-21f32acf243b","resolution":{"observed_at":"2026-08-15T18:38:49.593552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:38:49.404951Z","title":null,"venue":null,"work_id":"f293a709-0cd2-4a35-92a4-8512ecbf085f","year":2025},"citing_paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T18:38:48.246057Z"},"links":{"citing_paper":"/paper/2506.19673"},"observation_digest":"sha256:3a1b45f99f3e3c1d00fa0f73ea8f8726df6b37ab7f0aba48f1f7fe6a1d03cf68","observation_id":"f5194ad4-6329-4412-87c4-c4d2976d9fb4","resolution":{"observed_at":"2026-08-15T18:38:49.500674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.19673","last_updated":"2025-06-24T14:40:30Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-15T18:26:05.602314Z","submitted_at":"2025-06-24T14:40:30Z","title":"The Asai--Flach Euler system in $p$-adic families"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":9,"verified_fuzzy":9},"total_outbound_references":22},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.19673."}