{"as_of":"2026-08-14T02:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c76b50408f16942e9775d644ea688ea022e6dbcaee08ef74e71ea93c578dc625","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T14:57:47.219847Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2606.09512/citation-record","integrity":"/paper/2606.09512/integrity","json":"/paper/2606.09512/citation-record.json","paper":"/paper/2606.09512"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.11653","last_updated":"2024-08-21T14:26:05Z","snapshot_observed_at":"2026-08-13T14:54:49.208868Z","submitted_at":"2024-08-21T14:26:05Z","title":"Conditional algorithmic Mordell","version":1},"cited_work":{"arxiv_id":"2408.11653","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.11653","snapshot_observed_at":"2026-07-03T03:37:36.116554Z","title":"arXiv preprint arXiv:2408.11653 , year=","venue":null,"work_id":"3d039c85-8360-4173-9fcc-15a16f8659a1","year":2024},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"cited_paper":"/paper/2408.11653","citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:671280c43e3eac65773857a638d74b1928509bf4386ad79c20e9cdf2ea2a768d","observation_id":"fc150603-d847-4207-81e9-c31cc920c13b","resolution":{"observed_at":"2026-07-03T03:37:36.118031Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:f0da63309fecaa9496000726f9bdb0b737389f56a5c370feadc5f04509cfd12a","observation_id":"e2a23622-336c-499e-a375-a5fcd254681f","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"van Bommel, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:900fd6f3302fa75470438b69a9ac0e199648c9af7d2aaac0b2da0fe0a0ae96a1","observation_id":"ead075ca-c0e7-4ed2-b85d-950033c761ef","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"van Bommel, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:41995273a0a1c2cf3ae1f0b2dd1a5e2ae643a7cdb99801e7add2fcfa423cfe50","observation_id":"c4a012bf-9c08-45dd-aef8-3a31ef4d080b","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Booker and A.V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:4a97157f2a29fda3e99266fed0762a71bf44fd684ada0e0a5a8cc7635d9d47de","observation_id":"fdd685f8-db10-4274-b9b2-a908d40f41b9","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Booker, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:3156d134a6d2fb4d944d8487b5f2d912b1f34ac65209283da0f8b5610ecca69b","observation_id":"51aff48a-5e6e-4c5d-bdf1-42eb140ba30b","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"B¨ orner, I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:e6cccfb71f5c406b3bb38b3ba1ced7f279dd7aac548e136546fc7d0948e7b607","observation_id":"bb29d18f-c180-4fb5-98ff-a5f978932d24","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:694f546ebeafc65755d9738f1dd4fdb3e98ebc436d2a06e6ed2845b07b83b45e","observation_id":"ae75b43d-8869-4884-95aa-70c6858536ad","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:a45757f21a287e02b3eb0087650755c810e95fa09981fe43d01c18cc9524cbae","observation_id":"8670624b-2532-4e76-9699-f9aad291b9af","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:139d17a44bfd1a32ca0abe38a0ce156fe8d4a53dbd1bf6df9e3301bb75fd2702","observation_id":"a879ffc1-65f4-4e3c-9d70-53448724d5eb","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Bosma, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:2a7bb1c5a75536ef6bea380aa0f17348919ce5a947eb51b144cc1e9c791f23cb","observation_id":"fb56097f-3658-4b9c-8157-cedb7c5a6044","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.20645","last_updated":"2025-02-28T01:54:00Z","snapshot_observed_at":"2026-08-07T17:41:13.764383Z","submitted_at":"2025-02-28T01:54:00Z","title":"Modularity theorems for abelian surfaces","version":1},"cited_work":{"arxiv_id":"2502.20645","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.20645","snapshot_observed_at":"2026-07-03T03:37:36.111491Z","title":"Boxer, F","venue":null,"work_id":"9f02adb6-ab15-408b-b426-7d474395899a","year":2025},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"cited_paper":"/paper/2502.20645","citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:c561c45403a656954c8e5a2ffc364ecc10bb12ef52ca070f123e1e4f5e5e800b","observation_id":"e130319a-dea4-474f-bdb6-e80001e49184","resolution":{"observed_at":"2026-07-03T03:37:36.112703Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-27T14:57:47.219847Z","title":"Breuil et al.,On the modularity of elliptic curves overQ: wild 3-adic exercises, J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:bb7c3891e6c6859e3deb85cc1933d061100526fe2abaac1c7bbe54105ccef82a","observation_id":"b89ae71f-30bf-4355-92d7-f0de20fd0baf","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Brumer and K","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:81e9142705570eceb924e365bf3d138f27e6bb8502bcb28b398f0a954f184d9c","observation_id":"6f8da5d1-e368-4c5b-962e-de62ded7ab96","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Brumer and K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:7c7ec05e0aabe6469a7922f2394f3e0846bc5a3fed43e45d79270f8d5e61ef51","observation_id":"0a8b41d2-9895-4edb-b2aa-c0e9f0976528","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Paramodular abelian varieties of odd conduc- tor","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:e3548b664e7938dac747691453ccfddf774b51d28377502d66bd7bc96f0955bb","observation_id":"5e7ceebd-5c8c-4924-82d9-99adfc51e39e","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Costa, D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:b626e251c4a87777ee95f3855aa86d467d5e4a6fc69120e7c9d2e0223a512b15","observation_id":"9137a456-29b4-490f-b489-1c18b9b30790","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:291f413f64e88d3fdb3421552a88547e274bda8ee445e6bbb312b5f7eec8fab4","observation_id":"adbf67b0-b5ff-4ac9-af15-9218ce61dac2","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Dokchitser, V","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:276e0ec5a36c495f95c0a7768af345eaaa6c92a5d6a95d43ad771b752c025e80","observation_id":"b96b158b-a7d6-4120-ac6c-d34a66961731","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Faltings,Endlichkeitss¨ atze f¨ ur abelsche Variet¨ aten ¨ uber Zahlk¨ orpern(German) [Finiteness theorems for abelian varieties over number fields], Invent","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:75f2f60f1431ba58e553be188abd0e328685dc39f64a3b5ad2b161e371a6db6d","observation_id":"b5b9a1b8-e18d-49ab-8997-6fd0e76caecb","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Harvey,Computing zeta functions of arithmetic schemes, Proc","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:d1c82e7dede410adb69fa7130b022b0a93839b13557f60ce1d9d9b0e625799d2","observation_id":"19e52dae-5639-4b0a-be40-986905d3c23c","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Harvey and A.V","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:016e1e76d99250c991ec177bb39c4dc84e7bd9f9417c2a48c39f95a8bbdceb6c","observation_id":"ad63c32d-f4bf-4a0f-a334-d7fb8c82c3f0","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Harvey, M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:9f9d63103183273b9fa62ea623e9111aefaf927f273e83adb7fd6f8bb39ff014","observation_id":"b6e5403c-2d8a-464d-84ce-f0160c573ca2","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Huggins,Fields of moduli and fields of definition of curves, PhD thesis, University of California, Berkeley, 2005","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:be35870de91343735a352e1152c296b71b159b43d4f2e7dbe3301843d7b426f7","observation_id":"f2c58f72-a2ee-4d78-a656-fd039b0ccb05","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Johansson,Arb: efficient arbitrary-precision midpoint-radius interval arithmetic, IEEE Transactions on Computers66:8 (2017), 1281–1292","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:37ccb45706de66ed5ccf099bde7c341c4ba152dbf460c5085d7366c40b1a7c2e","observation_id":"f1148385-6a28-4209-8f65-748c835ea3b1","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Kausz,A discriminant and an upper bound forω 2 for hyperelliptic arithmetic surfaces, Compositio Math.115:1 (1999), 37–69","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:e48fd621f64c110731e7e8a216682ee0e93e0082078044912837bf469a605745","observation_id":"08d2ffac-f824-4c99-807d-1e868b534a78","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:2f0b2cbe30820fb46822025a999658cea99eb5cd6391f1fb28a185dab17da6a3","observation_id":"ca9bcf5a-573d-413a-8399-285b733d0d1e","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Lang,Introduction to Arakelov theory, Springer, New York, 1988","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:8aec5593a7522152cfe36611d646fcbe222ac83206baf29885f929b06d529603","observation_id":"b35725ef-b868-4769-a30f-f78e57028795","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Lercier and C","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:3bb574400d15f4c211acdacf1b5310d36a9ec9041ce5a66a2bc20d5124e8667b","observation_id":"82f87bdf-373d-4038-8371-dda0d3d6c969","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Lercier, C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:9ad29ab9665408edb8bcbf637dbf4e0aee2b004ef339bf18af74d91aeeb88785","observation_id":"6fb6682a-308e-4304-b6e8-6c0b36724e08","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Liu and D","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:18c883fe137fe9eab3eeb2b0286ffa21d4ad4f28396d5a52e7cf531b11225874","observation_id":"c4d0432b-c06d-4d55-8f63-82d89b350461","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:214679a19f4468c7ef15a7f0aea70431c9840377ec9cff7c0117f4b1d1acb150","observation_id":"f3f248aa-6727-4436-a6a9-f76a99dc9ae1","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:ba18bedc742bd26eb57264ec86494dda39d3b6f40d83b6520d4c79256663c56a","observation_id":"341caac9-6c2c-4dfe-b2e0-cda1e77888ca","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Lombardo, E","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:6c4540fcc9834d4de7e413babd9894ede0148ab01376b05b33da011f48e728fc","observation_id":"92bc1ce9-946e-4f64-9b8d-c58d2020c5b4","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Lupoian and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:f7b4b3da991bc0eac1a42937e0dc69c3beb49c352bab260e2125f8e325c6b036","observation_id":"5a6c651a-f167-4586-8eb7-e0964c5d2dde","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Maistret and A.V","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:74f1651de2f295836e2af71b98294b12d80b1b97bca44a92e20d1fc486193ca0","observation_id":"179b41f3-2c4d-4489-886d-c69ccb4c1b07","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Merriman and N.P","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:c8bf824e6cdd0f75d052f9a831c67bbf92ce2a65c2f8018c19cb067269e0f974","observation_id":"7d5b56c0-8802-4e28-bf66-cf1c7552bb41","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Poonen,Computational aspects of curves of genus at least2, Second Algorithmic Number Theory Symposium (ANTS II), Lecture Notes Comput","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:53ecc4b2404898dcc3ae63538753f81ee290fd115b8844060cda6345424b1403","observation_id":"7d428dfc-b0e4-4cd6-80a6-04c7279d0e3c","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:02eef070283580e565f5573657ad58de18d80363bfd10b2862f42efc0d8fc749","observation_id":"2e05f172-477f-464a-a8dd-8b6755cc8e84","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Poor and D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:88e73858186c9c6b531fa1fc7784ac46a21dbc7125e0ccbc78b7be359f27377c","observation_id":"065584e2-77cd-482f-8af7-43c04e25ce65","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Poor and D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:4889e6e24ec8d2ac168cafab98e2d5dd1062b7248d06416ec8601b2b27b50425","observation_id":"6a25348c-f189-4aea-8911-dd4d1361631d","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Poor and D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:d7ed996e897c90ae4ab7f464fdbec62ec6a662288f6de449754db39c8930fd90","observation_id":"be77d6fa-ce2e-45b6-93d4-f0e7d2b8f942","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Ritzenthaler and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:5a29aa8e0d6c1e50223a602d9dcaebcb098b85279d801a85ed7f40f5586d3445","observation_id":"3ce7700a-5416-4aa9-af94-9ff7c31fcc5a","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Serre and J","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:8ee4c3a6d4627b8cdc9d11e4004f72e972507d0bc29731c0dc71242045713efb","observation_id":"c59d5c15-cbf6-4ec2-b6f0-4df30fb8a30b","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:52ca7cfc819c2305651627ee8afb91e333215069af679fb30f71bfc485ccbf04","observation_id":"ac2fe09f-d1b2-494e-9d48-0038cdb60b37","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-06-27T14:57:47.219847Z","title":"Shi,Lifting L-polynomials of genus 2 curves, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:89ad68d8bd9496d575d8530d5344cc55f092d02b424500262c35865aa00a9c0e","observation_id":"d0dc38c0-2ac9-4ab6-b01c-e9692cd39d88","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2602.00965","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T03:37:36.113762Z","title":"Shi,Lifting L-polynomials of genus 3 curves, arXiv:2602.00965v1","venue":null,"work_id":"aeb83091-23b1-4b07-ade7-b4c0b6282f68","year":null},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:5777429351757186273ad23b8cb0b51a634cd4f8f94aac3f841498dd9b795e6b","observation_id":"321ab1e4-9e5d-43fb-a879-a62c9abec374","resolution":{"observed_at":"2026-07-03T03:37:36.115445Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-27T14:57:47.219847Z","title":"Shioda,On the graded ring of invariants of binary octavics, Amer","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:e3f598fc3d013b9c37deed73186f4fc7c4e4fc93d215d9d5b1eb0e925db477f2","observation_id":"f582a6d7-7245-46f2-b179-901bfc1d133f","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Smart,S-unit equations, binary forms and curves of genus2, Proc","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:99db4f2dc02466636b6e033bee6d7e814f0ee80be632f24455ac4adb4bf4b99e","observation_id":"fb7e0b4b-b090-40cd-a485-7d77c851e0c7","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:aa5aba555fbbfbee1ee64b01ee42e4f0a4cdc3687dd2cd8218c161d569aa1ead","observation_id":"b5bb8d9f-8638-4300-b5b2-c7950335c488","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:8fb9d8585079ed72678fb8459f0e8559f788e43ee274c8870984d92481e26c8c","observation_id":"2533ca5d-a9d5-4936-986d-9aeb90b2690a","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Sutherland,A database of genus 2 curves of small conductor, slides of talk at Rational Points 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:6d252702621487ddaab80cd3b73cb3899245f3407a49195fafb62805063f8129","observation_id":"1660f813-ae36-4f6b-b9ee-ac0725808abf","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Visser,The effective Shafarevich Conjecture, PhD Thesis, University of Warwick, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:1129b24051011c535a72df5fc0bac4fde9cf9a2d00b35d75e423c643eebef3a2","observation_id":"368e2f1e-67cf-40aa-9ef3-7cebb79b6963","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","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":"2026-06-27T14:57:47.219847Z","title":"Zywina,Determining monodromy groups of abelian varieties, Res","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-27T14:57:47.219847Z"},"links":{"citing_paper":"/paper/2606.09512"},"observation_digest":"sha256:3c6069e57ee0d831ae1d0bdc86717eb86d5ad2733a6afa8bf55d98e046c21381","observation_id":"a5ad4fef-2ecf-4203-8927-5d668b5a2db9","resolution":{"observed_at":"2026-06-27T14:57:47.219847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.09512","last_updated":"2026-06-08T14:05:04Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T14:05:04Z","title":"Abelian surfaces of small conductor from genus 3 double covers"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":2,"unresolved":49,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":54},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2606.09512."}