{"as_of":"2026-08-12T12:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:77164b8d7bca5f87eabd62afd974c23bc8dc2ac2ce5b97bb4981c6dd2c08eabf","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:21:41.669578Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T14:39:58.243015Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result","version":4},"cited_work":{"arxiv_id":"2108.05625","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2108.05625","snapshot_observed_at":"2026-07-04T14:39:58.243015Z","title":"[YZ21] X","venue":null,"work_id":"5f72adac-cc7e-424d-abdb-c2f06baeab2c","year":2021},"citing_paper":{"arxiv_id":"2409.00611","last_updated":"2026-05-15T07:53:57Z","snapshot_observed_at":"2026-07-06T19:08:48.648862Z","submitted_at":"2024-09-01T04:42:20Z","title":"Abstract divisorial spaces and arithmetic intersection numbers","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-23T21:03:44.271613Z"},"links":{"cited_paper":"/paper/2108.05625","citing_paper":"/paper/2409.00611"},"observation_digest":"sha256:c909832db7e3f835542f6c09c61a38bd2d7d9897ffb7d6a83e555e723bed1ca8","observation_id":"4118435e-2a26-4f4c-bfbf-4dd379695bfb","resolution":{"observed_at":"2026-05-23T21:05:49.015182Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.05625","snapshot_observed_at":"2026-08-12T12:21:41.669578Z","title":"Heights and reductions of semi-stable var ieties","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2411.17410","last_updated":"2024-11-26T13:12:43Z","snapshot_observed_at":"2026-08-12T12:06:08.327835Z","submitted_at":"2024-11-26T13:12:43Z","title":"Deligne pairing for equidimensional morphisms","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-12T12:21:41.669578Z"},"links":{"cited_paper":"/paper/2108.05625","citing_paper":"/paper/2411.17410"},"observation_digest":"sha256:ed725fdbd0ee61471611bade09d4b5798d10075162a9fe1b2a633c0bf6cfe45e","observation_id":"c37c4921-785c-4b3b-947e-f4312b39b39e","resolution":{"observed_at":"2026-08-12T12:21:41.669578Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.05625","snapshot_observed_at":"2026-08-07T15:43:00.547483Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.14023","last_updated":"2025-05-20T07:25:32Z","snapshot_observed_at":"2026-08-10T16:42:39.871921Z","submitted_at":"2025-05-20T07:25:32Z","title":"Concave transforms of compactified S-metrized divisors","version":1},"reference_index":2009,"source":"pdf_text","source_observed_at":"2026-08-07T15:43:00.547483Z"},"links":{"cited_paper":"/paper/2108.05625","citing_paper":"/paper/2505.14023"},"observation_digest":"sha256:8f8a35af1894cdd5850d866efbe5dc7f85619236d97e81764942bc38dd096daa","observation_id":"56ccaa4a-d781-445c-9be6-ff7e9f1eb9ab","resolution":{"observed_at":"2026-08-07T15:43:00.547483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.05625","snapshot_observed_at":"2026-08-06T17:41:14.309223Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.10410","last_updated":"2025-07-14T15:54:19Z","snapshot_observed_at":"2026-08-09T20:40:45.581777Z","submitted_at":"2025-07-14T15:54:19Z","title":"Global pluripotential theory for adelic line bundles","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T17:41:14.309223Z"},"links":{"cited_paper":"/paper/2108.05625","citing_paper":"/paper/2507.10410"},"observation_digest":"sha256:1977f8671ef488a11c82eff158bf7f3aefd7931d496cd58f4a839c020fe7bec7","observation_id":"f585c029-285d-4931-9799-1013831ca468","resolution":{"observed_at":"2026-08-06T17:41:14.309223Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result","version":4},"cited_work":{"arxiv_id":"2108.05625","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2108.05625","snapshot_observed_at":"2026-07-04T14:39:58.243015Z","title":"[YZ21] X","venue":null,"work_id":"5f72adac-cc7e-424d-abdb-c2f06baeab2c","year":2021},"citing_paper":{"arxiv_id":"2606.27129","last_updated":"2026-06-25T15:07:45Z","snapshot_observed_at":"2026-08-07T07:14:53.907802Z","submitted_at":"2026-06-25T15:07:45Z","title":"Quantitativity in the Mordell Conjecture","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-06-26T02:54:08.447008Z"},"links":{"cited_paper":"/paper/2108.05625","citing_paper":"/paper/2606.27129"},"observation_digest":"sha256:a5a6d2497a8ee1f05e6b1957be3b0b7ce10a553f61e9b0c4da9461ccbf5383c3","observation_id":"5c2cec27-0548-463c-8e99-c03919f179c9","resolution":{"observed_at":"2026-07-04T14:39:58.245266Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.05625","snapshot_observed_at":"2026-08-01T13:02:22.217064Z","title":"Arithmetic bigness and a uniform","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.19252","last_updated":"2026-07-23T01:17:00Z","snapshot_observed_at":"2026-08-01T13:02:11.050136Z","submitted_at":"2026-07-21T16:22:17Z","title":"Non-Archimedean Rigidity and Uniformity for Common Preperiodic Points","version":2},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-01T13:02:22.217064Z"},"links":{"cited_paper":"/paper/2108.05625","citing_paper":"/paper/2607.19252"},"observation_digest":"sha256:83f310a46d208de430efa0c4a13c419011c872f483cd40bf1784ca6c5db21dfb","observation_id":"db1b3fba-6ae8-426b-8dde-11385ff83f93","resolution":{"observed_at":"2026-08-01T13:02:22.217064Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2108.05625/citation-record","integrity":"/paper/2108.05625/integrity","json":"/paper/2108.05625/citation-record.json","paper":"/paper/2108.05625"},"outbound":[],"paper":{"arxiv_id":"2108.05625","last_updated":"2024-04-30T11:10:35Z","latest_version":4,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T12:51:39.061331Z","submitted_at":"2021-08-12T09:39:59Z","title":"Arithmetic bigness and a uniform Bogomolov-type result"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2108.05625."}