{"as_of":"2026-08-12T11:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:15537e666f072e9e0153b66ffabc99dcb55eea8910b8bdf4f864c5bb57db0b12","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T20:58:47.081535Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2602.22162/citation-record","integrity":"/paper/2602.22162/integrity","json":"/paper/2602.22162/citation-record.json","paper":"/paper/2602.22162"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:45.500074Z","title":"Abramovich, Q","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:45.500074Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:6d7c3d78be3cab9a5740bbabffef8d229b0c37b07457b451d4f66d92faf08333","observation_id":"d07c45d9-74c0-456f-80a5-d9be9ab16097","resolution":{"observed_at":"2026-08-02T20:58:45.500074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02817","last_updated":"2024-12-03T20:34:30Z","snapshot_observed_at":"2026-08-11T23:02:36.133426Z","submitted_at":"2024-12-03T20:34:30Z","title":"Tropicalization of $\\psi$ classes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.02817","snapshot_observed_at":"2026-08-02T20:58:45.931875Z","title":"[DK01] J.-P","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:45.931875Z"},"links":{"cited_paper":"/paper/2412.02817","citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:caf0caa4e13edbd2d1fe6b0deb7bba154ab6c39e904f362145b88adc8f5a78c0","observation_id":"1c47c3bc-6293-4d6c-a5a3-439cc3ca38ba","resolution":{"observed_at":"2026-08-02T20:58:45.931875Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2510.23959","last_updated":"2026-06-28T17:36:19Z","snapshot_observed_at":"2026-08-11T20:52:01.383845Z","submitted_at":"2025-10-28T00:33:42Z","title":"Grothendieck topologies with logarithmic modifications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.23959","snapshot_observed_at":"2026-08-02T20:58:46.199030Z","title":"[JS22] R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.199030Z"},"links":{"cited_paper":"/paper/2510.23959","citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:ea11c8d898aaac74ba38560e3b8b706d970b29fa2e494c78acf73e22ea7d6365","observation_id":"7ec46c7b-b7a7-4f47-a6fe-b938cb2523fb","resolution":{"observed_at":"2026-08-02T20:58:46.199030Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.17826","last_updated":"2024-05-28T04:47:55Z","snapshot_observed_at":"2026-08-05T17:09:47.627113Z","submitted_at":"2024-05-28T04:47:55Z","title":"Canonical local heights and Berkovich skeleta","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.17826","snapshot_observed_at":"2026-08-02T20:58:46.300854Z","title":"[Kat89] K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.300854Z"},"links":{"cited_paper":"/paper/2405.17826","citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:3f90241387e3fbcbc4d50b1c4cff35d3d4fa503409fcbb6036239e0b9bd71f12","observation_id":"4d19cd14-47ff-4dc2-9c29-6b34e39eea25","resolution":{"observed_at":"2026-08-02T20:58:46.300854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:47.081535Z","title":"[Sta] The Stacks Project","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:47.081535Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:459cd4d90b36300890a772ed1da949d3aaf97975125ae13cf140491aa103afe4","observation_id":"4e3c340a-0f7b-4b12-9d9a-71c7129722f0","resolution":{"observed_at":"2026-08-02T20:58:47.081535Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:46.923515Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1972,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.923515Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:8226e5d65a10e738e6f93d58ab39088a08cf0ad96d00ca655764c0e17e101722","observation_id":"a513b983-6c0a-4770-8055-3ad9bbf71249","resolution":{"observed_at":"2026-08-02T20:58:46.923515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:46.480097Z","title":"Kajiwara, K","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1973,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.480097Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:439da09b1ac4bb3068a17662b3d4b07be461e0153e6626eebf3fc6296aab8411","observation_id":"1360aaaa-6919-4c49-a10a-e52b480c17d3","resolution":{"observed_at":"2026-08-02T20:58:46.480097Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:46.611704Z","title":"Moret-Bailly","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1985,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.611704Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:ec1de623e4682f7b3eda71d8607c53e76902241849e79635ed52dbef88f8e872","observation_id":"c4d96a16-a349-403a-be70-5bbdb8678290","resolution":{"observed_at":"2026-08-02T20:58:46.611704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:46.418487Z","title":"[Kem+73] G","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1988,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.418487Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:584bddb0acb576eca0968245e9fc0b76bdbe08bb5115d9b1f6e857f1c9c0f7da","observation_id":"e9040b18-775c-47ce-9c6c-a77fdf7fcd51","resolution":{"observed_at":"2026-08-02T20:58:46.418487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:45.714994Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1990,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:45.714994Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:dc87e99330262ff3c721223ae5404cdb445c62f7cbcda85572ce389bdfb01b67","observation_id":"61776ebb-3e83-410c-85c7-76990e2c74b2","resolution":{"observed_at":"2026-08-02T20:58:45.714994Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:46.043479Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":1993,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.043479Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:b470be774682ec59a912c0c80570773ec48bb6231941e665e560402471c69ffc","observation_id":"1f5d0bdf-d675-43c0-80b3-8741e282f51b","resolution":{"observed_at":"2026-08-02T20:58:46.043479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:46.762089Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:46.762089Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:0135768d2e4ef2d3a2c17247104a619f6bc7236653459d713bfa49f53133cbc5","observation_id":"ffc15952-6e90-43e2-96de-48c49b5770a3","resolution":{"observed_at":"2026-08-02T20:58:46.762089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.11745","last_updated":"2025-02-10T16:57:35Z","snapshot_observed_at":"2026-08-12T10:00:03.949675Z","submitted_at":"2024-03-18T12:57:13Z","title":"On the height of the universal abelian variety","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.11745","snapshot_observed_at":"2026-08-02T20:58:45.863497Z","title":"[BMV11] S","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:45.863497Z"},"links":{"cited_paper":"/paper/2403.11745","citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:574df576fc8b979b365fdccf47e89e668aafca1b2026820505d3c9694eee6043","observation_id":"30259f13-b131-4494-840e-448b25a893a5","resolution":{"observed_at":"2026-08-02T20:58:45.863497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T20:58:45.605438Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-02T20:58:45.605438Z"},"links":{"citing_paper":"/paper/2602.22162"},"observation_digest":"sha256:36f1351308ccda64496348c929235c7036b1a84c15f03c7b668b22d1742c6c14","observation_id":"8cf17a22-f8ae-4344-a911-ddeeeff797c2","resolution":{"observed_at":"2026-08-02T20:58:45.605438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.22162","last_updated":"2026-07-03T10:38:21Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-12T05:27:22.427077Z","submitted_at":"2026-02-25T18:10:49Z","title":"Pure extension of the theta divisor over the moduli space of abelian varieties"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":14},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2602.22162."}