{"as_of":"2026-08-10T17:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a68ed6c9f96d520853b3639a6c164ee8f11f8cf9c7d493c1cf3455108b565b82","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":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":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T05:04:57.939206Z","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":"2026-07-04T08:29:41.177074Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-08-09T05:04:57.939206Z","title":"Nguyen, T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.03371","last_updated":"2025-02-05T17:11:09Z","snapshot_observed_at":"2026-08-09T19:55:50.368243Z","submitted_at":"2025-02-05T17:11:09Z","title":"U(1)-gauged 2-flavor spin system in 3-D","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T05:04:57.939206Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2502.03371"},"observation_digest":"sha256:f6bffbefcca0514e8c164871af33990e255b5ed134c35d73c77f3fb1141fba23","observation_id":"0ec7d6e3-d85c-4aff-9d5b-edf043bc6e6c","resolution":{"observed_at":"2026-08-09T05:04:57.939206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-08-06T19:14:35.987943Z","title":"Nguyen, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.06555","last_updated":"2025-07-09T05:16:09Z","snapshot_observed_at":"2026-08-06T18:58:11.534023Z","submitted_at":"2025-07-09T05:16:09Z","title":"Landau theory for lattice higher gauge theory and Kramers-Wannier duality","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T19:14:35.987943Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2507.06555"},"observation_digest":"sha256:6b312e951254e943ffbff8cf42c288b1853fe41ca96dc40d34172edaed4e94c9","observation_id":"c8137f9b-0bf8-4ec8-9ca2-7c39de6f0373","resolution":{"observed_at":"2026-08-06T19:14:35.987943Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":"2401.04800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-07-04T08:29:41.177074Z","title":"Nguyen, T","venue":null,"work_id":"06eda75b-e502-4431-a5b0-fba834c72aae","year":2025},"citing_paper":{"arxiv_id":"2507.10459","last_updated":"2026-04-27T15:40:57Z","snapshot_observed_at":"2026-07-30T00:14:58.476537Z","submitted_at":"2025-07-14T16:38:17Z","title":"Discrete $p$-Form Symmetry and Higher Coulomb Phases","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-19T04:52:36.817589Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2507.10459"},"observation_digest":"sha256:0f87dc7cff80857b847414ce479fb3f4b21fe755d037fff49565fb1712aadb6b","observation_id":"b034c3f2-e882-4a5d-9a41-fc75f3cf4a29","resolution":{"observed_at":"2026-05-19T04:52:59.564297Z","resolver_source":"arxiv_id","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-08-04T20:14:16.060002Z","title":"Nguy˜ên, Tin Sulejmanpašić, and Mithat Ünsal","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.08819","last_updated":"2026-06-22T15:01:03Z","snapshot_observed_at":"2026-08-04T20:14:13.153295Z","submitted_at":"2025-09-10T17:51:57Z","title":"Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T20:14:16.060002Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2509.08819"},"observation_digest":"sha256:d9e7c691555b95c2d7ab1dc08029b50905e33f9c50fcae73f03fc83a68ab912f","observation_id":"85b8bbff-a780-4d68-b8fd-2643726e7840","resolution":{"observed_at":"2026-08-04T20:14:16.060002Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-08-04T18:55:28.651730Z","title":"Phases of Theories with ZN 1-Form Symmetry, and the Roles of Center Vortices and Magnetic Monopoles,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09625","last_updated":"2025-09-11T17:10:24Z","snapshot_observed_at":"2026-08-07T10:19:05.427480Z","submitted_at":"2025-09-11T17:10:24Z","title":"Self-dual monopole loops, instantons and confinement","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T18:55:28.651730Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2509.09625"},"observation_digest":"sha256:78cf77bee4699a3b89b81ce0f256f6fb971c904c79de9f7791748cf4a394b5f2","observation_id":"09f6d587-665d-41a1-af00-6fba715b3067","resolution":{"observed_at":"2026-08-04T18:55:28.651730Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":"2401.04800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-07-04T08:29:41.177074Z","title":"Nguyen, T","venue":null,"work_id":"06eda75b-e502-4431-a5b0-fba834c72aae","year":2025},"citing_paper":{"arxiv_id":"2601.19520","last_updated":"2026-05-22T15:41:51Z","snapshot_observed_at":"2026-07-06T22:43:07.053570Z","submitted_at":"2026-01-27T11:58:38Z","title":"Intrinsic Width of the Flux Tube as a tool to explore confining mechanisms in Lattice Gauge Theories","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-25T07:11:55.724337Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2601.19520"},"observation_digest":"sha256:e54d082579d3c4d2b351bfafb78d64127269cfe756266fe7109ec0b4cd3f865a","observation_id":"a16923d5-84d4-4f7c-a671-0c8d5a116f9a","resolution":{"observed_at":"2026-05-25T07:15:28.265249Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":"2401.04800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-07-04T08:29:41.177074Z","title":"Nguyen, T","venue":null,"work_id":"06eda75b-e502-4431-a5b0-fba834c72aae","year":2025},"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":51,"source":"pdf_text","source_observed_at":"2026-06-27T00:11:02.022176Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2606.17708"},"observation_digest":"sha256:0992bd681973f16bdacde8ed5c60690a613d7d2796dcb6b419942d0dbfda2a4b","observation_id":"1dc902a0-0652-48f6-a35c-82559e41eb0e","resolution":{"observed_at":"2026-07-03T21:48:59.330041Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles","version":2},"cited_work":{"arxiv_id":"2401.04800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.04800","snapshot_observed_at":"2026-07-04T08:29:41.177074Z","title":"Nguyen, T","venue":null,"work_id":"06eda75b-e502-4431-a5b0-fba834c72aae","year":2025},"citing_paper":{"arxiv_id":"2606.22078","last_updated":"2026-06-20T14:52:37Z","snapshot_observed_at":"2026-08-06T07:09:08.134112Z","submitted_at":"2026-06-20T14:52:37Z","title":"Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-26T11:43:50.108610Z"},"links":{"cited_paper":"/paper/2401.04800","citing_paper":"/paper/2606.22078"},"observation_digest":"sha256:7408f0a9b91c239e4c76906f6d87b1136c670eca37b63a8834179e374981a832","observation_id":"92ea7d4c-b73d-4bdf-8349-4fd6ff43d70a","resolution":{"observed_at":"2026-07-04T08:29:41.178682Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2401.04800/citation-record","integrity":"/paper/2401.04800/integrity","json":"/paper/2401.04800/citation-record.json","paper":"/paper/2401.04800"},"outbound":[],"paper":{"arxiv_id":"2401.04800","last_updated":"2024-03-20T04:28:28Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-09T23:30:54.088087Z","submitted_at":"2024-01-09T19:49:52Z","title":"Phases of theories with $\\mathbb{Z}_N$ 1-form symmetry and the roles of center vortices and magnetic monopoles"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2401.04800."}