{"as_of":"2026-08-13T05:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4fd0a1f35f18efed4bcfa5eb0bf170b047f51afcdbe2fec5cd2cb4aa7b6a315f","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:22:36.058703Z","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":"2026-07-03T21:48:59.386050Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2009.10183","last_updated":"2020-10-30T11:41:11Z","snapshot_observed_at":"2026-08-12T03:03:34.556276Z","submitted_at":"2020-09-21T21:22:21Z","title":"Topological aspects of $4$D Abelian lattice gauge theories with the $\\theta$ parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.10183","snapshot_observed_at":"2026-08-07T14:22:36.058703Z","title":"Topological aspects of 4D Abelian lattice gauge theories with the θ parameter,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.19412","last_updated":"2025-09-01T07:11:43Z","snapshot_observed_at":"2026-08-08T08:38:39.640227Z","submitted_at":"2025-05-26T02:04:31Z","title":"2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T14:22:36.058703Z"},"links":{"cited_paper":"/paper/2009.10183","citing_paper":"/paper/2505.19412"},"observation_digest":"sha256:5807309294b3c14ef2c2bd1941577a5e0d161a67df77b91ada1551c04998b071","observation_id":"f5971516-0d9b-45e5-a913-1329ca174e1a","resolution":{"observed_at":"2026-08-07T14:22:36.058703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.10183","last_updated":"2020-10-30T11:41:11Z","snapshot_observed_at":"2026-08-12T03:03:34.556276Z","submitted_at":"2020-09-21T21:22:21Z","title":"Topological aspects of $4$D Abelian lattice gauge theories with the $\\theta$ parameter","version":2},"cited_work":{"arxiv_id":"2009.10183","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2009.10183","snapshot_observed_at":"2026-07-03T21:48:59.386050Z","title":"Honda and Y","venue":null,"work_id":"460510ce-0375-440d-9577-8526bdc1b57f","year":2020},"citing_paper":{"arxiv_id":"2604.08736","last_updated":"2026-06-30T23:53:13Z","snapshot_observed_at":"2026-08-09T05:33:24.095782Z","submitted_at":"2026-04-09T20:00:03Z","title":"Exact SL(2,Z)-Structure of Lattice Maxwell Theory with $\\theta$-term in Modified Villain Formulation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T16:55:57.814577Z"},"links":{"cited_paper":"/paper/2009.10183","citing_paper":"/paper/2604.08736"},"observation_digest":"sha256:0c29e72ab70d051917bc071f26c45fd2416c0fb453cdab8b9e28203ae9677a7c","observation_id":"b3e9ef93-fdf0-4ef3-8069-e81afed8e514","resolution":{"observed_at":"2026-05-11T07:51:01.751603Z","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":"2009.10183","last_updated":"2020-10-30T11:41:11Z","snapshot_observed_at":"2026-08-12T03:03:34.556276Z","submitted_at":"2020-09-21T21:22:21Z","title":"Topological aspects of $4$D Abelian lattice gauge theories with the $\\theta$ parameter","version":2},"cited_work":{"arxiv_id":"2009.10183","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2009.10183","snapshot_observed_at":"2026-07-03T21:48:59.386050Z","title":"Honda and Y","venue":null,"work_id":"460510ce-0375-440d-9577-8526bdc1b57f","year":2020},"citing_paper":{"arxiv_id":"2606.17708","last_updated":"2026-06-22T03:13:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-16T09:18:51Z","title":"Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-06-27T00:11:02.022176Z"},"links":{"cited_paper":"/paper/2009.10183","citing_paper":"/paper/2606.17708"},"observation_digest":"sha256:f2ebda34b6514a6b5b65f719edd4f75bb3341abba101ac336137eaa178e386ab","observation_id":"58021ce1-cf6b-40a0-8897-ea0c08c1ea6f","resolution":{"observed_at":"2026-07-03T21:48:59.387764Z","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":"2009.10183","last_updated":"2020-10-30T11:41:11Z","snapshot_observed_at":"2026-08-12T03:03:34.556276Z","submitted_at":"2020-09-21T21:22:21Z","title":"Topological aspects of $4$D Abelian lattice gauge theories with the $\\theta$ parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.10183","snapshot_observed_at":"2026-08-01T02:52:29.254618Z","title":"Honda and Y","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.25332","last_updated":"2026-07-28T06:32:43Z","snapshot_observed_at":"2026-08-10T18:19:09.941519Z","submitted_at":"2026-07-28T06:32:43Z","title":"$\\mathrm{SL}(2,\\mathbb{Z})$ Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T02:52:29.254618Z"},"links":{"cited_paper":"/paper/2009.10183","citing_paper":"/paper/2607.25332"},"observation_digest":"sha256:33d9d48ac86cf2ad6787c105f779d87a487285e507ff5c3f07d42bb0008140bf","observation_id":"edb8e68c-8603-44c3-8ee1-eecf8601437e","resolution":{"observed_at":"2026-08-01T02:52:29.254618Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2009.10183/citation-record","integrity":"/paper/2009.10183/integrity","json":"/paper/2009.10183/citation-record.json","paper":"/paper/2009.10183"},"outbound":[],"paper":{"arxiv_id":"2009.10183","last_updated":"2020-10-30T11:41:11Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-12T03:03:34.556276Z","submitted_at":"2020-09-21T21:22:21Z","title":"Topological aspects of $4$D Abelian lattice gauge theories with the $\\theta$ parameter"},"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 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2009.10183."}