{"as_of":"2026-08-12T07:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2c8ab3f43bbb937e8d02d37b8fb52eb72bda26b307df903e6115b9724aa2e87a","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:39:50.790094Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T19:05:04.789171Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.07833","snapshot_observed_at":"2026-08-02T19:05:04.789171Z","title":"Balakrishnan, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.04021","last_updated":"2026-06-08T12:33:01Z","snapshot_observed_at":"2026-08-12T05:00:20.329765Z","submitted_at":"2026-03-04T12:57:05Z","title":"Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T19:05:04.789171Z"},"links":{"cited_paper":"/paper/2501.07833","citing_paper":"/paper/2603.04021"},"observation_digest":"sha256:3d3cd1397b3121f6de792828358b069f9630d5cec4052ef5cf772bff2ec0211f","observation_id":"1e16e62e-2dbd-4f97-887b-6c046cb09fdc","resolution":{"observed_at":"2026-08-02T19:05:04.789171Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2501.07833/citation-record","integrity":"/paper/2501.07833/integrity","json":"/paper/2501.07833/citation-record.json","paper":"/paper/2501.07833"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-030-80914-0_2","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.868215Z","title":"Computing classical modular forms for arbitrary congruence subgroups","venue":null,"work_id":"b466388f-636b-4ba0-9832-2c001f89a6dd","year":2012},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.742723Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:f4c4ec7bed831a4b71f05badd59378d162e37dc43cc0e0182fa9a486d90a9808","observation_id":"5d0f5544-1a50-497b-b407-154f29b72175","resolution":{"observed_at":"2026-08-10T20:39:50.871124Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.767469Z","title":"Modular curves and the Eisenstein ideal","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.767469Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:77c583f02de07c646aca930a644ba1da567575625776d7846a98d0e64acd4109","observation_id":"b0b94bed-a811-405f-8080-99f0fe7f1e12","resolution":{"observed_at":"2026-08-10T20:39:50.767469Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-030-65203-6_2","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:51.163020Z","title":"Explicit quadratic Chabauty over number fields","venue":null,"work_id":"8866721c-382c-4be1-b0c6-54230a324c1a","year":2021},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.746874Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:b28f97f2fdb6d076a388b9afbb56aa6f2e4bc8659a818799f4a65ad24e3d08f0","observation_id":"815cffdc-b170-4192-8aad-15b9fb709e2a","resolution":{"observed_at":"2026-08-10T20:39:51.165975Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/ant.2013.7.765","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.807889Z","title":"Explicit Chabauty over number fields","venue":null,"work_id":"abb49280-6fee-462b-b794-6e3b69632fdb","year":2013},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.787445Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:2fae522a2202bfccb3fe0a6efd5eea530c78442b4dcfd0084e37f0786b705031","observation_id":"edb4beb9-bbf4-4cf2-b83d-48fb836724b5","resolution":{"observed_at":"2026-08-10T20:39:50.813487Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/fms.2022.38","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.823148Z","title":"Elliptic curves overQ and 2-adic images of Galois","venue":null,"work_id":"d661548d-632e-43df-aec3-9e89201b16a4","year":2015},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.782628Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:b34af211b3e23988889e687dfa21dd01973ae627a63b32eeb5868210503a637e","observation_id":"8d17d044-b298-4a24-b692-5ac44f5d6448","resolution":{"observed_at":"2026-08-10T20:39:50.826212Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.762517Z","title":"A multivariable Hensel’s lemma","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.762517Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:1b5f4803dc69657ca154dd764884b75f3f96e8228f751dc440b1e52b41a80b68","observation_id":"a466ab09-49ab-4b83-8cce-d7b3814b6022","resolution":{"observed_at":"2026-08-10T20:39:50.762517Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2112.03873","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:51.144410Z","title":"p-adic adelic metrics and quadratic Chabauty I","venue":null,"work_id":"952a2e3b-6d24-4108-9af8-3e38d903c66e","year":2004},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.752928Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:0181e9132b85770683b7c169661a1c3b1dfc7127493d558fc8d47554de2a0394","observation_id":"c1f49398-fb1b-4291-a28c-2ac53cd25a83","resolution":{"observed_at":"2026-08-10T20:39:51.148778Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10590","last_updated":"2021-06-28T18:47:57Z","snapshot_observed_at":"2026-07-06T09:30:26.105822Z","submitted_at":"2020-06-18T14:54:47Z","title":"Restriction of Scalars Chabauty and the $S$-unit equation","version":2},"cited_work":{"arxiv_id":"2006.10590","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.10590","snapshot_observed_at":"2026-08-10T20:39:50.877898Z","title":"Restriction of Scalars Chabauty and the $S$-unit equation","venue":"math.NT","work_id":"ea0e2b3a-ca41-4d8a-8171-556809bc25f9","year":2020},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":106,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.790094Z"},"links":{"cited_paper":"/paper/2006.10590","citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:2206391440b2aff1aa68e0839ae22ef99f406e5f0b7fc724a70563d46409b0d8","observation_id":"4fed68a0-7f7b-4816-b241-955707b4986d","resolution":{"observed_at":"2026-08-10T20:39:50.881010Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:51.154080Z","title":"Springer, 1993, pp","venue":null,"work_id":"c5d25b7d-1efc-4b3d-afa4-3eae4b9400a5","year":1993},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":108,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.773814Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:c7d12208f15e1f1aa70954c3464b4a418687341a8a96101a49fb82984e685b5c","observation_id":"ebae622e-3429-4470-ac95-47c55f6ff1bd","resolution":{"observed_at":"2026-08-10T20:39:51.156704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"prims/1234361","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.959216Z","title":"Computing p-adic heights on hyperelliptic curves","venue":null,"work_id":"6310ca04-37c4-4044-b9d9-d8eb442137e4","year":2024},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":223,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.765103Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:c43572697b01563c1a1be286600fe4e58d80dff3ff3e915e11f9aa8e5744d373","observation_id":"f2e26fd5-6104-46bc-ad53-48f9bd54a003","resolution":{"observed_at":"2026-08-10T20:39:50.963756Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-0348-7919-4_14","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.831510Z","title":"ℓ-adic images of Galois for elliptic curves over Q (and an appendix with John Voight)","venue":null,"work_id":"562506af-dd53-47ca-a9a9-6d310302a371","year":2004},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":224,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.779856Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:1bf2b16ebbbca0f62d5d2e9b3b93a42267e2b25e9356656cbf750595b5ffdcb0","observation_id":"6ec6c87f-9a1b-4994-85ef-2a51a24addb3","resolution":{"observed_at":"2026-08-10T20:39:50.834398Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-642-52244-4","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.855083Z","title":"F-isocristaux unipotents","venue":null,"work_id":"662b9684-4344-4a7d-b943-0f3b9cb9d9dd","year":1999},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":281,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.759459Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:e10a54817b83e6874b4d3c9e98342d2a64fe5d85057af7e14274e97abebd225e","observation_id":"ba7b2aa8-4fae-4dcb-84ce-520e1ec8eaf0","resolution":{"observed_at":"2026-08-10T20:39:50.857928Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-662-06307-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:51.073076Z","title":"The Magma algebra system. I. The user language","venue":null,"work_id":"4e53ea10-bfd0-4509-9146-a08de3020b65","year":1997},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":302,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.755750Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:1ff62174aba05588da587ec0320ace4b5d94748d676424467a7517da689f303b","observation_id":"c9c8857e-c8f4-4a57-bdca-52a2f125f544","resolution":{"observed_at":"2026-08-10T20:39:51.075857Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.00288","last_updated":"2023-04-29T15:51:16Z","snapshot_observed_at":"2026-07-06T15:21:31.380819Z","submitted_at":"2023-04-29T15:51:16Z","title":"Computing the semistable reduction of a particular plane quartic curve at $p=3$","version":1},"cited_work":{"arxiv_id":"2305.00288","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.00288","snapshot_observed_at":"2026-08-10T20:39:50.887929Z","title":"Computing the semistable reduction of a particular plane quartic curve at $p=3$","venue":"math.NT","work_id":"a5878555-3410-40ec-859a-439a635f79d4","year":2023},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":323,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.776275Z"},"links":{"cited_paper":"/paper/2305.00288","citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:f4a57933b8a74241670fbdcfc1c647709080ad1264fbc6db1805f35efec07000","observation_id":"0cd7bdb8-b9f7-4e25-94e6-ea43f211e1fc","resolution":{"observed_at":"2026-08-10T20:39:50.891383Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bfb0063947","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.838961Z","title":"Rational isogenies of prime degree (with an appendix by D. Goldfeld)","venue":null,"work_id":"e26978f5-6777-4b01-a8d3-03bf1a534ba8","year":1978},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":601,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.770974Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:b869af61cddeeaffa7344411039bafc7d2ecc8bf238f703f6c70fbc09b33c966","observation_id":"14df2b58-d3fa-4406-94ef-dcf303093d6f","resolution":{"observed_at":"2026-08-10T20:39:50.842541Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.785020Z","title":"REFERENCES 35 [Ser89] J.-P","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.785020Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:6eebc5f393517627b392ad25812ed52807d045be1af8e0bf003d0e537595cc8d","observation_id":"35e5333b-44b9-4f01-b545-28049cfc7349","resolution":{"observed_at":"2026-08-10T20:39:50.785020Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:50.749974Z","title":"Quadratic Chabauty and rational points, I: p- adic heights","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields","version":1},"reference_index":6197,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:50.749974Z"},"links":{"citing_paper":"/paper/2501.07833"},"observation_digest":"sha256:0f5fd67714862fbde8d0acb687e883d9b3f6a5485796813924ef0cc33b8759dd","observation_id":"208be933-ee58-452c-be62-6628a971225b","resolution":{"observed_at":"2026-08-10T20:39:50.749974Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.07833","last_updated":"2025-01-14T04:31:47Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-10T20:31:57.161873Z","submitted_at":"2025-01-14T04:31:47Z","title":"Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":3,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":3,"verified_exact":9,"verified_fuzzy":1},"total_outbound_references":17},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2501.07833."}