{"as_of":"2026-08-11T11:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3cf89dcda7129a8d8a33c9025d624eb9c5a96cfca3482f48ce6e8873babadf2d","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T05:05:21.800053Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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":"2026-08-08T05:05:21.762639Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-08T05:05:21.882321Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"cited_work":{"arxiv_id":"2502.08487","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.08487","snapshot_observed_at":"2026-08-08T05:05:21.882321Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","venue":"math.NT","work_id":"390ed402-279f-4898-a509-8a92e614c4a6","year":2025},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.762639Z"},"links":{"cited_paper":"/paper/2502.08487","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:c1455729ccbf54d9c358d1f31909e251efe34a625ab2eb3b2fabab9421344982","observation_id":"cd8485d1-280d-430f-9452-c041d6833bc4","resolution":{"observed_at":"2026-08-08T05:05:21.887218Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.08487/citation-record","integrity":"/paper/2502.08487/integrity","json":"/paper/2502.08487/citation-record.json","paper":"/paper/2502.08487"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:05:22.408109Z","title":"Bosch, Formelle Standardmodelle hyperelliptischer Kurven, Math","venue":null,"work_id":"b271c609-ee8a-4116-a1f8-656aa16c518f","year":1980},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.642997Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:0cfdab48b092b4a15da8c024eea32d30a9d9e82e5ac2c699813e0281e38ab250","observation_id":"00cb9a67-38c7-4ee5-a26e-ca4026d578b5","resolution":{"observed_at":"2026-08-08T05:05:22.412463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.392191Z","title":"Bolza, On binary sextics with linear transformations into themselves, Amer","venue":null,"work_id":"c7107fed-5f16-45e6-bc09-572bc42188f6","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.648099Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:f66386640c6f26f445d022f31eb3c83a589da017c8471a3d7b1474e919fb26c4","observation_id":"6767964e-ccd6-4201-be75-ef15e014d772","resolution":{"observed_at":"2026-08-08T05:05:22.397231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.377479Z","title":"Bosch, Q","venue":null,"work_id":"751a01d8-3225-45d4-a7f1-6576c39d5303","year":1999},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.652761Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:df74f861e6e986534fe4501ad37c341ce285c18d2c13cd8e664543e78a77678d","observation_id":"51450e0b-708f-4b2a-a6b9-69b51a2eae21","resolution":{"observed_at":"2026-08-08T05:05:22.382169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.361521Z","title":"Bosma, J","venue":null,"work_id":"6571c5c5-f1c4-485b-8d30-e2d2bd892974","year":1997},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.657453Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:1fd32404eb1ee56e5dcd620e9a4343ebdeff7b8bbf9cbd8e7f8e220aeca4a705","observation_id":"08b8eed4-f3d0-4b7b-8f64-2cbc6eadd465","resolution":{"observed_at":"2026-08-08T05:05:22.366577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.346079Z","title":"Buneman, A note on the metric properties of trees, Jour nal of Combinatorial Theory, Series B Vol","venue":null,"work_id":"78c6d92c-e61e-41ee-9d2b-2a5af2971c61","year":1974},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.662058Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:950b86eb705178f73e1661d4391149273e130c0703c292f95c0aa22e05d57ea6","observation_id":"db725121-9acc-4b25-bd37-d51ab18de4b9","resolution":{"observed_at":"2026-08-08T05:05:22.351090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.331007Z","title":"Cardona, J","venue":null,"work_id":"bf1e27b6-aab2-4b39-b31b-b8a631221186","year":2007},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.666632Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:33dd1328b25c1a7dfedc46fa6cd887d7c58c34e141301122d053cca842dbc9d6","observation_id":"76698c34-75f0-4ef1-9b6e-a5bcd0ffe752","resolution":{"observed_at":"2026-08-08T05:05:22.336051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.314583Z","title":"Clebsch, Theorie der binären algebraischen formen","venue":null,"work_id":"e6ba22b0-3a80-42b4-84ee-4a0e7c7bff36","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.670996Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:422675c8f648c47da26eddf9e42fc7e6c82df62c3f0b41a8df1d5bdd47d1e502","observation_id":"91b90a0d-c7b6-4bde-a0b4-72c89b588d56","resolution":{"observed_at":"2026-08-08T05:05:22.320256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.17148","last_updated":"2025-03-11T09:46:34Z","snapshot_observed_at":"2026-07-06T19:37:56.214143Z","submitted_at":"2024-10-22T16:27:31Z","title":"Recovering the cluster picture of a polynomial over a discretely valued field","version":2},"cited_work":{"arxiv_id":"2410.17148","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.17148","snapshot_observed_at":"2026-08-08T05:05:21.940961Z","title":"Recovering the cluster picture of a polynomial over a discretely valued field","venue":"math.NT","work_id":"44a523d3-e359-453c-903a-ff8456a4b5a9","year":2024},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.675454Z"},"links":{"cited_paper":"/paper/2410.17148","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:1d53267bc1c986dc675fc8a7e64df3127658dc0a17be4e492c84b85ae37207f5","observation_id":"43c01ccd-8fc5-4ff5-933e-90a06e0554b6","resolution":{"observed_at":"2026-08-08T05:05:21.946072Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.299025Z","title":"Dokchitser, Models of curves over DVRs: arXiv:1807.0 0025","venue":null,"work_id":"7e2b6aa3-806d-45d1-83c9-46663555d691","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.682308Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:2f370e550406c6bcd4872417984c5abc33331cf628dc94bcdb34ff7fddca8d9f","observation_id":"73b488e7-b6a2-40fb-ab1b-2e31675bb3a1","resolution":{"observed_at":"2026-08-08T05:05:22.304013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.283373Z","title":"Dokchitser, Classification of reduction types of cur ves, In preparation","venue":null,"work_id":"9cf69763-7b3c-4578-a6dc-b988c13bff5e","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.686817Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:93b6d128c6fcea5e146e2e487c0799556a723482af331f5e2a965d2c73ed7aba","observation_id":"e333a950-63d6-475b-b851-5a7d1ea82f00","resolution":{"observed_at":"2026-08-08T05:05:22.288519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.268567Z","title":"Dokchitser, V","venue":null,"work_id":"52979059-2506-4666-b3bb-20f55b78732a","year":2019},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.691228Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:53db4538e65ce046fc18cc71772f35d593e9f9943d82020405f8104739f2e053","observation_id":"0c1f6c97-68a1-485b-b114-8b0abcc3e688","resolution":{"observed_at":"2026-08-08T05:05:22.273513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.253321Z","title":"Dokchitser, V","venue":null,"work_id":"d64da33f-0db1-4d88-aa66-4e0a6740d39b","year":2023},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.696128Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:df40c0b61caf2f402e14d4c4ab2a95ce90c4b276db12020aab942a0d4493e74f","observation_id":"ad61e79f-f986-4fa1-870a-98efb0a85bb3","resolution":{"observed_at":"2026-08-08T05:05:22.258069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.05550","last_updated":"2021-12-10T14:02:56Z","snapshot_observed_at":"2026-08-09T14:43:32.047363Z","submitted_at":"2021-12-10T14:02:56Z","title":"Reduction of Hyperelliptic Curves in Characteristic $\\not=2$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.05550","snapshot_observed_at":"2026-08-08T05:05:21.700718Z","title":"Gehrunger, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.700718Z"},"links":{"cited_paper":"/paper/2112.05550","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:159121051736f7fa3f59f2951ca6a1cf75f51368bfd53ed5d872ddc48e6fca10","observation_id":"a36a5e1a-904a-49b4-a82b-890dc4d5993f","resolution":{"observed_at":"2026-08-08T05:05:21.700718Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14214","last_updated":"2024-10-24T14:55:25Z","snapshot_observed_at":"2026-08-06T16:46:33.005160Z","submitted_at":"2024-04-22T14:31:21Z","title":"Reduction of Hyperelliptic Curves in Residue Characteristic 2","version":2},"cited_work":{"arxiv_id":"2404.14214","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.14214","snapshot_observed_at":"2026-08-08T05:05:21.902700Z","title":"Reduction of Hyperelliptic Curves in Residue Characteristic 2","venue":"math.AG","work_id":"4863a996-1faf-4c5e-9330-1e6bbc620e81","year":2024},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.706094Z"},"links":{"cited_paper":"/paper/2404.14214","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:ff176e8208bc1d1b46b653e5d332f9264aacac4f6b5f43970a68e71bcdc3dd88","observation_id":"fe5689c2-8cd0-4418-a365-86e74d2fc17c","resolution":{"observed_at":"2026-08-08T05:05:21.907897Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.237906Z","title":"Gordan, Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist, J","venue":null,"work_id":"e25bbdc4-f9bd-4d02-9886-fdb5beabc817","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.710689Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:57c0f2764c03198dccd00cc57206bb26d41ffb697305fd054cc1246076a6c772","observation_id":"f018a9ca-2f7a-4077-8cd3-2018da714e95","resolution":{"observed_at":"2026-08-08T05:05:22.243111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.222056Z","title":null,"venue":null,"work_id":"50934b8c-aaac-49f1-8b10-0f646a090f5d","year":2022},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.714906Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:aff4e27a56848a9e108b0b8368a9a9ed66f8935bd056413d154e10d80b3a711c","observation_id":"94e1e3da-6012-4168-b95d-09b48d471c49","resolution":{"observed_at":"2026-08-08T05:05:22.226873Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.206393Z","title":"Hilbert, Theory of algebraic invariants, Cambridge Mathematical Library, Cambridge University Press (1993)","venue":null,"work_id":"bf7e2f75-90a0-4341-8203-7efcd389665b","year":1993},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.719093Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:9e291e038f07fdfa515c05ca542d9bb80d9bf6ca1827df6fffe18f9be0f16ec7","observation_id":"de3d0600-f81b-4e79-bc0b-1a8380e33222","resolution":{"observed_at":"2026-08-08T05:05:22.211396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.189878Z","title":null,"venue":null,"work_id":"92fe4213-4326-48f5-994f-e184bb36613b","year":2014},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.723371Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:3c247eb23b79734483723fcba881dcf08acd5075a90c20c60dc5055ac81ed3ca","observation_id":"adbfcbc6-283e-415b-8ab1-640c05d6df1a","resolution":{"observed_at":"2026-08-08T05:05:22.194558Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.173905Z","title":"Igusa, Arithmetic variety of moduli for genus two, An nals of Mathematics, Vol","venue":null,"work_id":"023d5991-f622-47fc-a885-1857d503afbe","year":1960},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.727716Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:03f54ae297b1077f2894354eee696d560308989de3121fb54151832b86ff3951","observation_id":"0c422387-972d-488e-8ee6-4e2febf8cd51","resolution":{"observed_at":"2026-08-08T05:05:22.178953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.157752Z","title":"Lercier, C","venue":null,"work_id":"6246e551-24fc-4b84-b845-ac74eaada34c","year":2012},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.732342Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:96009f7f0c23bc12f4b1812be2a23dacbc39eb7c78e6e109663da74e7575b8a0","observation_id":"a012bf22-93ac-4f8d-a348-1390ca289a70","resolution":{"observed_at":"2026-08-08T05:05:22.162585Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.142177Z","title":"Lercier, C","venue":null,"work_id":"00851179-7d59-4f40-bfcb-fe6a287acf06","year":2013},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.736652Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:132499be1c70d041a07a76530ecde3a9d91ea5cb8523b972ec532bb7caa2a116","observation_id":"16989168-2458-4d58-bb40-5d7fd36bfffb","resolution":{"observed_at":"2026-08-08T05:05:22.147100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.127117Z","title":"Lercier, Q","venue":null,"work_id":"b1d9dfca-4535-4e97-b00f-9385e46c2964","year":2021},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.741113Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:7224d8a28fb7dba951f8a145852cd19cb263c4fdf2ba220f5cbdc254b5bdfb43","observation_id":"1f3eb6c8-ec32-4fba-a30f-9e7a473a0369","resolution":{"observed_at":"2026-08-08T05:05:22.131447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.110950Z","title":"Liu, Courbes stables de genre 2 et leur schéma de modules, Mathematische Annalen, 295(1) (1 993), 201–222","venue":null,"work_id":"a8d7acef-d605-41a5-a7ec-89b164025d73","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.745312Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:bb22beae76ec68b5a72ee0eda7f18f5a4fef83d668150682f72127968c06c695","observation_id":"11fe6424-ff01-4797-b6cd-63fd60f0da16","resolution":{"observed_at":"2026-08-08T05:05:22.115585Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.095853Z","title":"Liu, Conducteur et discriminant minimal de courbes d e genre 2, Compositio Math","venue":null,"work_id":"ad6089bc-8a83-4358-963c-08bddaeb8744","year":1994},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.749686Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:d5ed2c347f6cef299ed17402104b16c6d4689a84004c357a2b4a1f0801d7a800","observation_id":"ef721b7a-a3ab-4cc5-b0c6-03838429ac9f","resolution":{"observed_at":"2026-08-08T05:05:22.100211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.081733Z","title":"Liu, Modèles entiers des courbes hyperelliptiques s ur un corps de valuation discrète, Trans","venue":null,"work_id":"023c0da1-3502-48b5-9b17-00890b16d5d4","year":null},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.753946Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:4e16c67b3c87c38f74bc318511b2b1418687abae8f1c3876011a7eed08686c25","observation_id":"1022bcbf-4cab-4d89-80eb-40a4ef22b4d3","resolution":{"observed_at":"2026-08-08T05:05:22.086148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.066169Z","title":"Lorenzo García, On different expressions for invaria nts of hyperelliptic curves of genus 3, J","venue":null,"work_id":"9340a5e2-d968-454c-a9cc-a166f45ee7fc","year":2022},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.758369Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:bc09df41175fe8311e91683822fd8ba5f76dcf473d0692f744fb645f5ea1831b","observation_id":"a67c8783-38ea-40a0-bcfe-4bada72e3b82","resolution":{"observed_at":"2026-08-08T05:05:22.071155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"cited_work":{"arxiv_id":"2502.08487","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.08487","snapshot_observed_at":"2026-08-08T05:05:21.882321Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","venue":"math.NT","work_id":"390ed402-279f-4898-a509-8a92e614c4a6","year":2025},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.762639Z"},"links":{"cited_paper":"/paper/2502.08487","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:c1455729ccbf54d9c358d1f31909e251efe34a625ab2eb3b2fabab9421344982","observation_id":"cd8485d1-280d-430f-9452-c041d6833bc4","resolution":{"observed_at":"2026-08-08T05:05:21.887218Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.050649Z","title":null,"venue":null,"work_id":"a87b7e5d-3750-4e96-ab01-18be61414a5c","year":1991},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.767294Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:b9855f859483ab62c11a95898b6cdac25607b57dd108553b7e70f8596460089e","observation_id":"82fd72f7-b097-4f94-9b65-ebfda8400da9","resolution":{"observed_at":"2026-08-08T05:05:22.055340Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.035907Z","title":"Muselli, Regular models of hyperelliptic curves, In dag","venue":null,"work_id":"657b3565-894b-40b8-bc8b-38ed21c33104","year":2024},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.771575Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:ae166ff3948f2c076a90022ed7c8ac376c157388aa7b7aefc2d4cff29a8cae58","observation_id":"94a02ccf-0acd-4da5-8b49-b36a9435bf53","resolution":{"observed_at":"2026-08-08T05:05:22.040344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.018429Z","title":null,"venue":null,"work_id":"c35b9518-ea92-452c-9a9d-9208a7ee842e","year":2020},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.775595Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:fce15255b5cda3f058143b4315cf47fd5fe66c35823198df675d33722f06dde4","observation_id":"8098a7d6-f4d6-468f-bba0-e2dc9d704b57","resolution":{"observed_at":"2026-08-08T05:05:22.023663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:22.003016Z","title":"Shioda, On the graded ring of invariants of binary oct avics, American J","venue":null,"work_id":"5a9ae8d9-f3f9-47a9-bd44-9dcf315873d8","year":1967},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.779396Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:831aa2122bb791326be533e63915977893bb3179d60a0c834c6f1b9c34a9698f","observation_id":"94433d44-01db-4c6f-8a0b-59bad932f090","resolution":{"observed_at":"2026-08-08T05:05:22.008000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:21.987579Z","title":null,"venue":null,"work_id":"0e936010-6926-4fad-adfc-e03fda626ea0","year":1994},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.783386Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:9451190fbe31bb65159e8228da51f8994beb5772d590eeb00a31ad7b2b4e504c","observation_id":"cb6ec90b-e62b-48d0-9581-15c3b5ca64a6","resolution":{"observed_at":"2026-08-08T05:05:21.992409Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.08228","last_updated":"2021-08-29T15:47:23Z","snapshot_observed_at":"2026-08-08T05:37:19.109894Z","submitted_at":"2019-10-18T02:11:14Z","title":"Conductors and minimal discriminants of hyperelliptic curves: A comparison in the tame case","version":2},"cited_work":{"arxiv_id":"1910.08228","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.08228","snapshot_observed_at":"2026-08-08T05:05:21.862071Z","title":"Conductors and minimal discriminants of hyperelliptic curves: A comparison in the tame case","venue":"math.AG","work_id":"32ed572d-7b53-4783-a28f-99117783681a","year":2019},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.787556Z"},"links":{"cited_paper":"/paper/1910.08228","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:a5150f7001d3a3e3b9cf9d9ba9d24a10e7f4e857ed2d915ea07779a65e5de0d4","observation_id":"08711842-e6a7-49b4-a954-52d7be2eeea8","resolution":{"observed_at":"2026-08-08T05:05:21.866566Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:21.970882Z","title":"Tate, Algorithm for determining the type of a singula r fiber in an elliptic pencil, Birch, B.J.; Kuyk, W","venue":null,"work_id":"a1ca09f0-4723-47e4-b0c0-c529aecd682d","year":1975},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.791802Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:27eeb64069c1236aed65ab31fafeb33fbb1b1e03692a6958f8b6685b87f0465f","observation_id":"550d592d-3802-434d-a627-ce6724fda1fa","resolution":{"observed_at":"2026-08-08T05:05:21.976069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17490","last_updated":"2025-06-04T11:55:40Z","snapshot_observed_at":"2026-07-06T17:50:54.472429Z","submitted_at":"2024-03-26T08:42:57Z","title":"Reconstruction of hypersurfaces from their invariants","version":3},"cited_work":{"arxiv_id":"2403.17490","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.17490","snapshot_observed_at":"2026-08-08T05:05:21.838062Z","title":"Reconstruction of hypersurfaces from their invariants","venue":"math.AC","work_id":"10b6424f-0597-4793-b97e-c53f1e99ec4a","year":2024},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.795557Z"},"links":{"cited_paper":"/paper/2403.17490","citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:a68d2e8406acc94fe9de6453d8ec589daffc5065a92ac010bd2a37f3318b6ab0","observation_id":"ec3f2af4-d2fd-4c5b-ad9f-9da06fae887f","resolution":{"observed_at":"2026-08-08T05:05:21.844838Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-08T05:05:21.956534Z","title":"Tsuyumine, On Siegel modular forms of degree 3, Amer","venue":null,"work_id":"572eec7e-a725-40cc-b480-2ea43986650b","year":1986},"citing_paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-08T05:05:21.800053Z"},"links":{"citing_paper":"/paper/2502.08487"},"observation_digest":"sha256:63d7dc58fccecfa8b8226cc1d4301c2151f7921aee72918acb03197b886db901","observation_id":"3f84d806-7e2a-41d0-9606-04d1f1e9a304","resolution":{"observed_at":"2026-08-08T05:05:21.961001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.08487","last_updated":"2025-02-26T11:50:27Z","latest_version":3,"primary_category":"math.NT","snapshot_observed_at":"2026-08-10T15:56:09.820984Z","submitted_at":"2025-02-12T15:22:23Z","title":"Invariants recovering the reduction type of a hyperelliptic curve"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":5,"verified_fuzzy":25},"total_outbound_references":36},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2502.08487."}