{"as_of":"2026-08-20T10:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4201815f7b18572b0256661f9397d61f1d72bbdf189936fc0f195db7366690ed","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":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:07:35.518305Z","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":"2026-07-02T00:36:23.919511Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2112.02092","last_updated":"2022-06-15T12:55:54Z","snapshot_observed_at":"2026-08-18T14:19:34.708529Z","submitted_at":"2021-12-03T18:57:48Z","title":"Symmetry TFTs from String Theory","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-24T07:55:53.000296Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2112.02092"},"observation_digest":"sha256:4c7afd3424c035b7adae10755249f3a631d428560281134a55835b413ca34142","observation_id":"32559e7e-579a-410c-a2f2-ed0d5bcc13b8","resolution":{"observed_at":"2026-05-24T07:55:53.306280Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2305.18296","last_updated":"2023-06-07T01:44:22Z","snapshot_observed_at":"2026-08-10T21:00:13.538331Z","submitted_at":"2023-05-29T17:59:50Z","title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","version":2},"reference_index":110,"source":"pdf_text","source_observed_at":"2026-05-16T07:50:05.029267Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2305.18296"},"observation_digest":"sha256:15fc5c308f034b20db79e3f8140c87f732a03daba79cc3a6e2ab803e17aa30bd","observation_id":"7bb87cf5-c4e9-47f8-9877-67d653edaa3a","resolution":{"observed_at":"2026-05-16T07:50:05.515856Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2307.07547","last_updated":"2023-09-08T13:13:28Z","snapshot_observed_at":"2026-08-16T21:28:48.059482Z","submitted_at":"2023-07-14T18:00:00Z","title":"Lectures on Generalized Symmetries","version":2},"reference_index":215,"source":"pdf_text","source_observed_at":"2026-05-17T14:14:51.258769Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2307.07547"},"observation_digest":"sha256:238047931a8e36508d19c26ab176ca29cad2bfe50dbb7f0e2a73d93c26fee7fd","observation_id":"401cc7c3-aa52-4dab-b0ad-47b17a899aca","resolution":{"observed_at":"2026-05-17T14:14:51.419844Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-08-06T15:07:35.518305Z","title":"Apruzzi, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17103","last_updated":"2025-08-06T00:28:59Z","snapshot_observed_at":"2026-08-15T12:58:39.069961Z","submitted_at":"2025-07-23T00:52:38Z","title":"Symmetry, Symmetry Topological Field Theory and von Neumann Algebra","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T15:07:35.518305Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2507.17103"},"observation_digest":"sha256:e0296a89b5191abee84c2c5f91a225ef2c2a522249c5f85432d5e03ad58544d2","observation_id":"169febd9-740c-4979-b91c-b103b3d99476","resolution":{"observed_at":"2026-08-06T15:07:35.518305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-08-04T21:32:51.203630Z","title":"Holography, 1-form symmetries, and confinement,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.07965","last_updated":"2025-09-12T17:14:56Z","snapshot_observed_at":"2026-08-20T03:41:48.354817Z","submitted_at":"2025-09-09T17:52:09Z","title":"Symmetry TFTs for Continuous Spacetime Symmetries","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:51.203630Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2509.07965"},"observation_digest":"sha256:42e8be58da1684709fffc457d02a12866796f536183c21cd68c5e19cb9f405c4","observation_id":"a45d4856-5616-4389-8d44-7fbab39a10a1","resolution":{"observed_at":"2026-08-04T21:32:51.203630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2604.18702","last_updated":"2026-06-16T14:28:29Z","snapshot_observed_at":"2026-08-15T08:24:41.158138Z","submitted_at":"2026-04-20T18:02:02Z","title":"Confinement in a finite duality cascade","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-10T03:52:59.782681Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2604.18702"},"observation_digest":"sha256:f99c018ff0cf79453081f02cdade02be2953cf94d52735fe969a6d788174e015","observation_id":"b3561afb-61e9-44bd-acd9-9f2a70e0a333","resolution":{"observed_at":"2026-05-11T12:21:03.958304Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2605.06287","last_updated":"2026-05-25T13:53:21Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-05-07T13:56:33Z","title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-08T07:47:51.026188Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2605.06287"},"observation_digest":"sha256:108e71209a2ad921cf9ab78043c2e3fde1198ce57fa819a22bf1aa7ca528c1c6","observation_id":"e774ed7d-f7e7-4ddd-adda-d5799c2df0ae","resolution":{"observed_at":"2026-05-11T20:51:14.024681Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2605.06287","last_updated":"2026-05-25T13:53:21Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-05-07T13:56:33Z","title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-30T23:22:20.282153Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2605.06287"},"observation_digest":"sha256:d38d26cd72b446b4155f283b87c438fb8c3223ac0b9252b77a95d92e9dde01d3","observation_id":"807bfd37-71a3-46f0-8fb2-e747040c47c5","resolution":{"observed_at":"2026-06-30T23:25:07.824292Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":"2104.12764","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-07-02T00:36:23.919511Z","title":"Apruzzi, M","venue":null,"work_id":"d7e4c845-cbfe-41ea-8b10-df4799d7e292","year":2021},"citing_paper":{"arxiv_id":"2606.02707","last_updated":"2026-07-21T16:16:36Z","snapshot_observed_at":"2026-08-02T12:39:21.689155Z","submitted_at":"2026-06-01T18:00:02Z","title":"Gravitational index, black hole saddle degeneracy, and one-form symmetry","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-28T13:21:14.856052Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2606.02707"},"observation_digest":"sha256:4fd7cec41bf2843a24b28c584b2385537a8bdda9cba2985a5bb9b44945098dcf","observation_id":"78a1a14a-f64f-42ab-b1c7-6af9d49a713b","resolution":{"observed_at":"2026-07-02T00:36:23.921352Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.12764","snapshot_observed_at":"2026-08-02T12:39:33.368646Z","title":"Apruzzi, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.02707","last_updated":"2026-07-21T16:16:36Z","snapshot_observed_at":"2026-08-02T12:39:21.689155Z","submitted_at":"2026-06-01T18:00:02Z","title":"Gravitational index, black hole saddle degeneracy, and one-form symmetry","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-02T12:39:33.368646Z"},"links":{"cited_paper":"/paper/2104.12764","citing_paper":"/paper/2606.02707"},"observation_digest":"sha256:37876b0c7cd8f09159cb0dec645d818d301664e4584b7d9328264f5028439f30","observation_id":"e26e6f76-134d-4eac-add6-1e323a173da4","resolution":{"observed_at":"2026-08-02T12:39:33.368646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2104.12764/citation-record","integrity":"/paper/2104.12764/integrity","json":"/paper/2104.12764/citation-record.json","paper":"/paper/2104.12764"},"outbound":[],"paper":{"arxiv_id":"2104.12764","last_updated":"2021-04-26T17:57:34Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-20T09:31:27.869604Z","submitted_at":"2021-04-26T17:57:34Z","title":"Holography, 1-Form Symmetries, and Confinement"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2104.12764."}