{"as_of":"2026-08-11T09:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0e225538d5a4b6da1765371b86d8358cfd21f4de429b4c005450ba7c5b9a39ac","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-13T02:41:32.458647Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.09483/citation-record","integrity":"/paper/2607.09483/integrity","json":"/paper/2607.09483/citation-record.json","paper":"/paper/2607.09483"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T02:41:32.458647Z","title":"Counting elliptic curves with a rationalN-isogeny for smallN.J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:f3fc946df744ed4645b00b6fa910bff48019a4ec41de05a0e9559e377a31a615","observation_id":"851ed9df-7905-4265-9839-9034b49979e9","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Victor Flynn, and Damiano Testa","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:b9815976373eae304e753a6de1c3a295c86020741ac539ac6835b78dd8c19e51","observation_id":"166e9cf5-9aaa-465a-96fa-71b7abeb8463","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Counting elliptic curves with prescribed level structures over number fields","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:b3d28d7bf6ed6d3de163f495f66b1b642f2299cf88d6f454476fd24f221aaac1","observation_id":"0615da88-d281-4628-8bc9-57a5b3cf6587","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Thin sets in weighted projective stacks.arXiv preprint arXiv:2602.05705, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:bbb24cb11908e8a02b8eb9120a2fedbba98207c3fb10cc1876450f101cfe278e","observation_id":"48ed964e-a396-4ff0-9d8f-317c3a795c6c","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Counting elliptic curves with prescribed entanglements.Res","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:b9bed36d4fdb4de12853c5ce9b3c83e801aac501466eb56fa1ade7c66f2c87d1","observation_id":"b835993a-53b7-428c-9298-9fa619db553f","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"On a probabilistic local-global principle for torsion on elliptic curves.J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:f0291ffca37b2c1497e28eca29898623c95bbc5426730e3090f9c45a222cd701","observation_id":"78378e8d-5dd7-4d5b-9c57-5ff711769aa0","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.19771","last_updated":"2026-05-14T08:27:48Z","snapshot_observed_at":"2026-07-06T22:46:45.213871Z","submitted_at":"2026-02-23T12:23:39Z","title":"The stacky Batyrev-Manin conjecture and modular curves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.19771","snapshot_observed_at":"2026-07-13T02:41:32.458647Z","title":"The stacky Batyrev–Manin conjecture and modular curves.arXiv preprint arXiv:2602.19771, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"cited_paper":"/paper/2602.19771","citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:6e3b7e9eab44e3f3d0f724bd6750ecea44b0de8a4b183128efd0cbb6320b094f","observation_id":"df827b9f-86ec-4126-962c-64fae60359ce","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"On a principle of Lipschitz.J","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:e130315ddf7e403b62aaa20af8a91faaa1cfc053171b5c03635b7e45954d9f38","observation_id":"7579b7aa-4674-43b6-85d4-4dbde96fa39f","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.08583","last_updated":"2025-04-18T21:13:47Z","snapshot_observed_at":"2026-08-09T07:33:51.298334Z","submitted_at":"2025-02-12T17:14:38Z","title":"The density of elliptic curves over $\\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.08583","snapshot_observed_at":"2026-07-13T02:41:32.458647Z","title":"The density of elliptic curves overQp with a rational 3-torsion point or a rational 3-isogeny.arXiv preprint arXiv:2502.08583, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"cited_paper":"/paper/2502.08583","citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:1fdbb0dde826769fd67105335453104f9726f5fb001acd4bfacd3a3273b39ba1","observation_id":"c68e1e8d-c62c-4939-afe8-6c81fd5641a1","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.09400","last_updated":"2025-07-29T01:06:55Z","snapshot_observed_at":"2026-08-10T02:39:37.400544Z","submitted_at":"2025-04-13T01:54:34Z","title":"Counting points on some genus zero Shimura curves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.09400","snapshot_observed_at":"2026-07-13T02:41:32.458647Z","title":"Counting points on some genus zero Shimura curves.arXiv preprint arXiv:2504.09400, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"cited_paper":"/paper/2504.09400","citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:699ae702ad9998b3a03c8d98c698adccbf077ffaee1850e2ed44c4bd3ee4eed9","observation_id":"3cd094e5-f926-4061-a572-88919edd268e","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Counting elliptic curves with prescribed torsion.J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:ff658a9cd98d81be23970ee8fe30072b5b3d7e9f3dd50a3aafe9a252712217cf","observation_id":"f8a5c45d-608b-4100-81ca-e10f8ed4eb17","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Modular curves and the Eisenstein ideal.Inst","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:ad427a47fe504c1fd8d1e84fc747f282eb6f4653939fb826f4592c469ef95eda","observation_id":"d468bf02-517b-4be8-b5ac-6947501dfcea","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Counting elliptic curves over the rationals with a 7-isogeny.Res","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:21eacf927853d5ba758e15da3ca7d8af687b74bbc11a1085497b15512f6598d9","observation_id":"2c208b83-7184-4f44-9bde-39cd88d81170","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Points of bounded height in images of morphisms of weighted projective stacks: with applications to counting elliptic curves.J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:111fb393a31544fd4fd694aee2f0fa13310a307e2ff560b80c121c80b79df78b","observation_id":"83361986-9798-43a3-ad97-26555f7a3051","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Counting elliptic curves with an isogeny of degree three","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:ce670d148565bc60473a117e814f960748017d8d649bdea02bbb82da87659ae7","observation_id":"b448b8e7-6f1f-40eb-bb7d-ca9373651bc4","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","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":"2026-07-13T02:41:32.458647Z","title":"Schaefer","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-13T02:41:32.458647Z"},"links":{"citing_paper":"/paper/2607.09483"},"observation_digest":"sha256:98e35a6d807b3d8b828ba6c90ba3ceb2afd0da91fd4852b69f1e6ad80799e12f","observation_id":"98def5d4-cc25-43a4-8ffa-9510131278b5","resolution":{"observed_at":"2026-07-13T02:41:32.458647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.09483","last_updated":"2026-07-10T15:00:06Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-05T04:57:13.783781Z","submitted_at":"2026-07-10T15:00:06Z","title":"Counting odd genus $2$ curves with a marked rational $3$-torsion point"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":16},"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 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.09483."}