{"as_of":"2026-08-11T14:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:885fedf5bfa5ff462bcbf979726c1d0f510a60463306c6f354711d95bd69ddf3","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T06:11:31.817073Z","state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"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/2602.00436/citation-record","integrity":"/paper/2602.00436/integrity","json":"/paper/2602.00436/citation-record.json","paper":"/paper/2602.00436"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T06:11:30.773083Z","title":"Fröhlich","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:30.773083Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:44a50174f409c14eb40adcbb10520acf34fcbe2da9cb099f12a08b5b12a2da35","observation_id":"3585c33c-d8a9-4343-83a2-c072013b9431","resolution":{"observed_at":"2026-08-03T06:11:30.773083Z","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":"2026-08-03T06:11:30.965849Z","title":"Glimm and A","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:30.965849Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:d6a558414eaa77e490692ef9f65e4d77f57ff99c41f09e93e2c046de8e8e63e0","observation_id":"f77783f0-1805-49a3-9cc9-a49d523efa66","resolution":{"observed_at":"2026-08-03T06:11:30.965849Z","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":"2026-08-03T06:11:31.136158Z","title":"Göpfert and G","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:31.136158Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:b523a4bac348c6b4820e4079e1f62f5cd86d8b27cc299429d29b02ec584978e4","observation_id":"4216d413-a8f3-424c-b08c-55c7162f05ca","resolution":{"observed_at":"2026-08-03T06:11:31.136158Z","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":"2026-08-03T06:11:31.299820Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:31.299820Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:c953366720c2eb50cf46ba2d91098c1b6506d37057656588d1d74a66194f83ad","observation_id":"6585283f-84cb-45b6-9c50-74f14c12e382","resolution":{"observed_at":"2026-08-03T06:11:31.299820Z","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":"2026-08-03T06:11:31.471494Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:31.471494Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:0d6dddf12d0d1981a8b9fecbfb3dd5422537265a987311f3fa0d2858ff85b6f5","observation_id":"ea228c1f-dc91-4508-ba72-2b231567d0d2","resolution":{"observed_at":"2026-08-03T06:11:31.471494Z","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":"2026-08-03T06:11:31.593831Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:31.593831Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:1e8eea4132e4787e03f919301fa4a05bb7bc457dc618218987db2ec541edc779","observation_id":"047e4b32-131c-4b53-aa0d-e8eacd5ad994","resolution":{"observed_at":"2026-08-03T06:11:31.593831Z","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":"2026-08-03T06:11:31.704487Z","title":"Messager, S","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:31.704487Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:27b3362354c3c6f3fcfce33ffad76aba942888d2aae7f8aad36fedffc8c7d74e","observation_id":"3799dd26-ab0c-4df9-bdc8-6f1330be80da","resolution":{"observed_at":"2026-08-03T06:11:31.704487Z","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":"2026-08-03T06:11:31.817073Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T06:11:31.817073Z"},"links":{"citing_paper":"/paper/2602.00436"},"observation_digest":"sha256:37135721e20464a7db353f1211e335161d0d8bd54369b21960b8513c93e0a87f","observation_id":"f9fd87db-40ec-4db4-87ce-41034917c8ef","resolution":{"observed_at":"2026-08-03T06:11:31.817073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.00436","last_updated":"2026-06-08T22:29:43Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-11T09:39:14.237757Z","submitted_at":"2026-01-31T01:16:53Z","title":"A short proof of confinement in three-dimensional lattice gauge theories with a central $\\mathrm{U}(1)$"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":8},"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 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2602.00436."}