{"as_of":"2026-08-11T14:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f9bd89a2ac1ece4aa3842dde753a02141c8b550574fc4549930dfc6c29a37377","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T18:21:52.443385Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"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/2501.11438/citation-record","integrity":"/paper/2501.11438/integrity","json":"/paper/2501.11438/citation-record.json","paper":"/paper/2501.11438"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.834358Z","title":"Gaiotto, A","venue":null,"work_id":"f4d91fc1-be4d-4f7d-8591-ae9044c156d3","year":2015},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.356362Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:310800d48a9f90d41a7a7943dbff51c81bc670c9ea7f36e9a44d371f394870fa","observation_id":"d62964d3-9b58-41c0-a74e-d7aa379337af","resolution":{"observed_at":"2026-08-10T18:21:52.840425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.815503Z","title":"Gaiotto, A","venue":null,"work_id":"88a4b841-64e2-4582-a299-2a505e0cfc4b","year":2017},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.362054Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:4bbfd8fa3eab86acac7693ff140b2e05b2f2d061c67871dde7f1a7176343ed02","observation_id":"7e2410d7-8be2-4b65-8986-58d0a06144e9","resolution":{"observed_at":"2026-08-10T18:21:52.822334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12967","last_updated":"2023-02-08T13:46:45Z","snapshot_observed_at":"2026-08-10T21:55:06.818923Z","submitted_at":"2022-10-24T06:29:31Z","title":"Fractional topological charge in lattice Abelian gauge theory","version":4},"cited_work":{"arxiv_id":"2210.12967","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.12967","snapshot_observed_at":"2026-08-10T18:21:52.677072Z","title":"Fractional topological charge in lattice Abelian gauge theory","venue":"hep-th","work_id":"179f0b88-99e5-494a-9cad-ad4434e7acd6","year":2022},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.367420Z"},"links":{"cited_paper":"/paper/2210.12967","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:9566e8b50e0d48e83b6f6ad1e084ad53f7e158816087400dd1e29da92eddfa2b","observation_id":"0ce43f57-992b-4927-9e45-e75357685f93","resolution":{"observed_at":"2026-08-10T18:21:52.683997Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.10977","last_updated":"2023-03-26T23:00:55Z","snapshot_observed_at":"2026-08-05T08:02:30.522845Z","submitted_at":"2023-03-20T09:58:40Z","title":"Topology of $SU(N)$ lattice gauge theories coupled with $\\mathbb{Z}_N$ $2$-form gauge fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.10977","snapshot_observed_at":"2026-08-10T18:21:52.373312Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.373312Z"},"links":{"cited_paper":"/paper/2303.10977","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:c3a4de25aa676734fae97a24b60fc46242e27f9ecc183b1f6046dcc27a99b357","observation_id":"6e6a448a-ac6c-450f-b562-2679fa18c917","resolution":{"observed_at":"2026-08-10T18:21:52.373312Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.789471Z","title":"’t Hooft,Confinement and Topology in Nonabelian Gauge Theories,Acta Phys","venue":null,"work_id":"14b026e6-d33a-41e9-8c91-0572939aedd1","year":1980},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.378602Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:6b30c7dd4409108c766db535fcac0c4337719fd4f9a43cdb916d70e0132d75d7","observation_id":"8ff858bd-1551-4365-816c-809e99864d34","resolution":{"observed_at":"2026-08-10T18:21:52.797020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.11813","last_updated":"2023-07-08T06:04:09Z","snapshot_observed_at":"2026-08-10T21:55:24.496581Z","submitted_at":"2023-04-24T04:14:03Z","title":"Note on lattice description of generalized symmetries in $SU(N)/\\mathbb{Z}_N$ gauge theories","version":2},"cited_work":{"arxiv_id":"2304.11813","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.11813","snapshot_observed_at":"2026-08-10T18:21:52.629703Z","title":"Note on lattice description of generalized symmetries in $SU(N)/\\mathbb{Z}_N$ gauge theories","venue":"hep-th","work_id":"09217575-5dbc-4092-bb6b-e7d1deb8413a","year":2023},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.383978Z"},"links":{"cited_paper":"/paper/2304.11813","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:928614559e6fab4b8f6ba4700d30fe5e3507e246c698db46d8bf9096cce50877","observation_id":"6645a435-8054-454d-8022-df880e99e564","resolution":{"observed_at":"2026-08-10T18:21:52.636119Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.769266Z","title":"Lüscher,Topology of Lattice Gauge Fields, Commun","venue":null,"work_id":"193d1746-ea79-474c-8185-5c29ae8320f4","year":1982},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.390024Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:5c63d893fd96dd81098e99360952b10908d1279ea3c0bf29fd0701f1f0247c09","observation_id":"b96c4bf0-c76b-47a2-9f80-7a628877c57a","resolution":{"observed_at":"2026-08-10T18:21:52.774896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.4518","last_updated":"2014-01-27T09:20:41Z","snapshot_observed_at":"2026-07-06T02:12:05.106403Z","submitted_at":"2010-06-23T13:43:25Z","title":"Properties and uses of the Wilson flow in lattice QCD","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.4518","snapshot_observed_at":"2026-08-10T18:21:52.395282Z","title":"Lüscher,Properties and uses of the Wilson flow in lattice QCD, JHEP 08(2010) 071 [1006.4518]","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.395282Z"},"links":{"cited_paper":"/paper/1006.4518","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:5dd17cf4f815943d12e6c813668891132220135123a217e309831c35709774f7","observation_id":"59b65e81-07a1-4afc-9344-cc365dacc158","resolution":{"observed_at":"2026-08-10T18:21:52.395282Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/0106010","last_updated":"2001-06-16T05:15:54Z","snapshot_observed_at":"2026-07-07T03:40:41.145594Z","submitted_at":"2001-06-16T05:15:54Z","title":"Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks","version":1},"cited_work":{"arxiv_id":"hep-lat/0106010","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-lat/0106010","snapshot_observed_at":"2026-08-10T18:21:52.585248Z","title":"Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks","venue":"hep-lat","work_id":"5173b8c6-c6b6-40ed-bad5-aa28685a0ef5","year":2001},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.400993Z"},"links":{"cited_paper":"/paper/hep-lat/0106010","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:d4347e7a316e246b0b2835edd6eab261a7743adb113b3b140a29e155fb27bf81","observation_id":"87b8c297-d8ea-48bd-897a-8e84bdeed9be","resolution":{"observed_at":"2026-08-10T18:21:52.590973Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.748358Z","title":"Lüscherand P","venue":null,"work_id":"af4f5b31-4704-432f-8a06-37d0cb4dec63","year":1985},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.406442Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:5629ee06cfb1647c6ffcf9d0e1aec913af0b21ce6b29a5c4034142f4c46cb553","observation_id":"41df488c-4de4-466f-a8ed-0634fa876fc3","resolution":{"observed_at":"2026-08-10T18:21:52.754782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.00286","last_updated":"2025-06-05T09:29:29Z","snapshot_observed_at":"2026-08-11T11:56:20.067581Z","submitted_at":"2024-12-31T05:37:25Z","title":"Monte Carlo Simulation of the $SU(2)/\\mathbb{Z}_2$ Yang--Mills Theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.00286","snapshot_observed_at":"2026-08-10T18:21:52.411255Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.411255Z"},"links":{"cited_paper":"/paper/2501.00286","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:f23a18e62255c0ea572e8fe3cba8cb5a0c8fb0016850c241e9aba61a59194afc","observation_id":"c23ccb08-9d20-4bbc-a12b-e6f50d96be29","resolution":{"observed_at":"2026-08-10T18:21:52.411255Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.722607Z","title":"van Baal,Some Results for SU(N) Gauge Fields on the Hypertorus,Commun","venue":null,"work_id":"10770897-a5c8-4423-8d74-9ec35dfdaf0f","year":1982},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.417744Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:b2a785b8bb7932383b5eac0dfa32d8bf7f3364653cd542a6fd3ce58782468416","observation_id":"283357af-06d9-423a-8f07-b2419d281f5b","resolution":{"observed_at":"2026-08-10T18:21:52.730652Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1105.4749","last_updated":"2011-05-24T12:39:13Z","snapshot_observed_at":"2026-08-08T09:48:28.079554Z","submitted_at":"2011-05-24T12:39:13Z","title":"Lattice QCD without topology barriers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.4749","snapshot_observed_at":"2026-08-10T18:21:52.422918Z","title":"Lüscher and S","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.422918Z"},"links":{"cited_paper":"/paper/1105.4749","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:bf227ec5bdfabe17d0093b11144f15185befe73baf7e2902279108de5a8e14eb","observation_id":"39182228-a5c8-4ab9-8903-78eba6159982","resolution":{"observed_at":"2026-08-10T18:21:52.422918Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:21:52.700681Z","title":"Teper,Physics from the lattice: glueballs in qcd; topology; su(n) for all n, 1997","venue":null,"work_id":"fe1fba40-3068-45cc-9c09-7062a12a3e97","year":1997},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.428012Z"},"links":{"citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:d4d7aaecf8c199edf588520f83435ac134fdf7cb1474e701bc0b816df9c81421","observation_id":"29df7365-dbc1-4f25-88a0-d6d4056e778b","resolution":{"observed_at":"2026-08-10T18:21:52.706125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.02485","last_updated":"2023-06-12T02:08:44Z","snapshot_observed_at":"2026-08-09T06:45:16.693625Z","submitted_at":"2023-06-04T21:31:34Z","title":"Study of gapped phases of 4d gauge theories using temporal gauging of the $\\mathbb{Z}_N$ 1-form symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.02485","snapshot_observed_at":"2026-08-10T18:21:52.433070Z","title":"Nguyen, Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.433070Z"},"links":{"cited_paper":"/paper/2306.02485","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:cb42fb5c71d911f79b883d029682c4617bf94780c88bffaf98f67d31321b3c16","observation_id":"4845cc02-0873-4815-8007-e320d8eaf7ab","resolution":{"observed_at":"2026-08-10T18:21:52.433070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.07042","last_updated":"2025-06-10T20:44:17Z","snapshot_observed_at":"2026-08-10T21:54:09.101256Z","submitted_at":"2025-01-13T03:48:11Z","title":"Direct Monte Carlo Computation of the 't~Hooft Partition Function","version":3},"cited_work":{"arxiv_id":"2501.07042","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.07042","snapshot_observed_at":"2026-08-10T18:21:52.501180Z","title":"Direct Monte Carlo Computation of the 't~Hooft Partition Function","venue":"hep-lat","work_id":"b24b43e0-66c9-4ebe-9326-5561503d6282","year":2025},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.438298Z"},"links":{"cited_paper":"/paper/2501.07042","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:070d42198586ac36f511bd1c8c374c2a506ac50b07a4050e9d225ab39dc37aad","observation_id":"bf8e79bc-0ead-4e0f-94b1-af9c2a1600c8","resolution":{"observed_at":"2026-08-10T18:21:52.509252Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.03030","last_updated":"2025-08-25T14:31:54Z","snapshot_observed_at":"2026-08-08T01:22:30.954753Z","submitted_at":"2024-09-04T18:49:57Z","title":"JuliaQCD: Portable lattice QCD package in Julia language","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.03030","snapshot_observed_at":"2026-08-10T18:21:52.443385Z","title":"Nagai and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T18:21:52.443385Z"},"links":{"cited_paper":"/paper/2409.03030","citing_paper":"/paper/2501.11438"},"observation_digest":"sha256:69373d6fc9c821a87c5bafe35fbc2a591cf899bef5051cdbd1e0b6241b00994f","observation_id":"4708e076-0afd-4199-8c4c-0ffe0578ea8c","resolution":{"observed_at":"2026-08-10T18:21:52.443385Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.11438","last_updated":"2025-01-20T12:23:27Z","latest_version":1,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-10T21:54:29.581145Z","submitted_at":"2025-01-20T12:23:27Z","title":"Numerical simulation of fractional topological charge in $SU(N)$ gauge theory coupled with $\\mathbb{Z}_N$ 2-form gauge fields"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":4,"verified_fuzzy":7},"total_outbound_references":17},"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 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2501.11438."}