{"as_of":"2026-08-10T07:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:67df3648c26170cbf3c2e4f9790a7e89f9e08516b32cd482f2f6f16be3c9e012","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":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":14,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T05:04:57.930977Z","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":"2026-07-03T12:08:06.477285Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-08-09T05:04:57.930977Z","title":"Fazza and T","venue":null,"work_id":null,"year":2023},"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":13,"source":"pdf_text","source_observed_at":"2026-08-09T05:04:57.930977Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2502.03371"},"observation_digest":"sha256:f0fde9e0f83b3a7f6fc3b092bd43e13c596c1340995dc9cba7c8b8b114f36ea4","observation_id":"5db25516-7ab0-47c5-b438-69b476be4d39","resolution":{"observed_at":"2026-08-09T05:04:57.930977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-08-07T14:22:36.263071Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities,","venue":null,"work_id":null,"year":2023},"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":54,"source":"pdf_text","source_observed_at":"2026-08-07T14:22:36.263071Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2505.19412"},"observation_digest":"sha256:b59532680400cc27bd05e0ab3f270aaf30e92871823c5f145fce6dea5548e78c","observation_id":"fd788072-407d-4873-bebc-ff0a8314c92d","resolution":{"observed_at":"2026-08-07T14:22:36.263071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-08-03T09:26:54.630344Z","title":"Fazza and T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.14359","last_updated":"2026-07-10T13:08:13Z","snapshot_observed_at":"2026-08-08T21:13:40.905018Z","submitted_at":"2026-01-20T19:00:00Z","title":"Exactly Solvable 1+1d Chiral Lattice Gauge Theories","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T09:26:54.630344Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2601.14359"},"observation_digest":"sha256:393b93ae7167656af78860e57c4b735bf672c8d958f4d2a4239d6aec43466da9","observation_id":"ecb7c6a3-1bf3-4cb0-9822-3f6d232b3b45","resolution":{"observed_at":"2026-08-03T09:26:54.630344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2604.06307","last_updated":"2026-04-07T18:00:00Z","snapshot_observed_at":"2026-07-06T22:54:48.916799Z","submitted_at":"2026-04-07T18:00:00Z","title":"Lattice chiral symmetry from bosons in 3+1d","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T18:41:27.428791Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2604.06307"},"observation_digest":"sha256:b1e01024612bc043432d2f9f35610baf9aed8a88c790a9c0226abef703914bf9","observation_id":"5ee23938-ea97-4737-90a9-c70750610d1a","resolution":{"observed_at":"2026-05-11T00:10:49.817908Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2604.07293","last_updated":"2026-04-27T06:03:09Z","snapshot_observed_at":"2026-08-02T15:36:30.388151Z","submitted_at":"2026-04-08T17:00:30Z","title":"Exotic theta terms in 2+1d fractonic field theory","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-10T18:18:34.357833Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2604.07293"},"observation_digest":"sha256:abd8d939434a0061cbd91abeb96112c63118f8935538ce5621cf95fdd6243216","observation_id":"70df3fff-4b6b-40d0-8202-28de13ae8353","resolution":{"observed_at":"2026-05-11T00:50:50.325405Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"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":16,"source":"pdf_text","source_observed_at":"2026-05-10T16:55:57.814577Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2604.08736"},"observation_digest":"sha256:69de565fa7dbb34d3a900f7f02866f16458288a648d2d73e6fd415fd62958b4f","observation_id":"875d767f-5bb7-4459-8bec-533a42ed723a","resolution":{"observed_at":"2026-05-11T07:51:01.709612Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2604.09126","last_updated":"2026-04-10T09:09:23Z","snapshot_observed_at":"2026-07-06T22:58:04.106299Z","submitted_at":"2026-04-10T09:09:23Z","title":"Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-10T18:06:14.686438Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2604.09126"},"observation_digest":"sha256:183cb8f542a4c035d174df909d043ce88d8fa176983760ffd6abd0f7df47d806","observation_id":"2b8cf869-4ac5-4a0e-85aa-5ce03102fd5a","resolution":{"observed_at":"2026-05-11T05:30:58.972045Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2605.16482","last_updated":"2026-05-24T14:27:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-05-15T18:00:00Z","title":"When Symmetries Twist: Anomaly Inflow on Monodromy Defects","version":1},"reference_index":106,"source":"pdf_text","source_observed_at":"2026-05-20T16:34:21.544962Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2605.16482"},"observation_digest":"sha256:a7b75300e8a633f136022da795ca07fb114c2daebbf3e13ef03bde6888a2ade6","observation_id":"1015cbe1-b179-4cf8-a69b-4ceda3d39c12","resolution":{"observed_at":"2026-05-20T16:38:39.991165Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2605.16482","last_updated":"2026-05-24T14:27:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-05-15T18:00:00Z","title":"When Symmetries Twist: Anomaly Inflow on Monodromy Defects","version":2},"reference_index":106,"source":"pdf_text","source_observed_at":"2026-06-30T19:16:14.613475Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2605.16482"},"observation_digest":"sha256:f5dadc5ff05c9535126dc48db5948e806cbd79d82770aa46e44875b25b4f39a9","observation_id":"d610b3e1-1b58-4a43-b642-3102a056c539","resolution":{"observed_at":"2026-07-01T14:55:47.793719Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2605.19925","last_updated":"2026-05-19T14:47:50Z","snapshot_observed_at":"2026-08-06T15:03:03.887839Z","submitted_at":"2026-05-19T14:47:50Z","title":"Stringy T-duality on the lattice and the twisted Villain model","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-20T04:02:14.165395Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2605.19925"},"observation_digest":"sha256:82e80f844f22374ff09b0abc271e76a838ca782063097dce39ef2c9ef0d2d8d6","observation_id":"6e6b85b3-015c-4735-a3dc-a5db74d5264c","resolution":{"observed_at":"2026-05-20T04:03:04.422678Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":"2211.13047","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-03T12:08:06.477285Z","title":"Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities","venue":null,"work_id":"993041e6-5626-4635-a7b7-d868e2b840b9","year":2023},"citing_paper":{"arxiv_id":"2606.12510","last_updated":"2026-06-10T18:00:00Z","snapshot_observed_at":"2026-08-02T01:02:16.372751Z","submitted_at":"2026-06-10T18:00:00Z","title":"Infinite-Order Lattice Chiral Anomalies and CPT","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-27T09:09:32.548222Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2606.12510"},"observation_digest":"sha256:2e4f10ab706a60045007b3ed2dcb89714a4130bec73d6a0c8c5cec66bfc5de9f","observation_id":"9d28558e-ebf0-4213-8588-f7023fcdd065","resolution":{"observed_at":"2026-07-03T12:08:06.478831Z","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":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-07-14T14:29:24.660809Z","title":"Fazza and T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09935","last_updated":"2026-07-18T21:55:32Z","snapshot_observed_at":"2026-08-07T10:49:12.359195Z","submitted_at":"2026-07-10T19:33:08Z","title":"Bosonization versus the Nielsen-Ninomiya theorem","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-14T14:29:24.660809Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2607.09935"},"observation_digest":"sha256:fd7886457d0878e089b85ae578caea732a78a4eaaf2557a1e36c0b4c745b1d58","observation_id":"45b84f4e-222f-4a5c-9d83-e1eccc90e82f","resolution":{"observed_at":"2026-07-14T14:29:24.660809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-08-02T07:43:50.889197Z","title":"Fazza and T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09935","last_updated":"2026-07-18T21:55:32Z","snapshot_observed_at":"2026-08-07T10:49:12.359195Z","submitted_at":"2026-07-10T19:33:08Z","title":"Bosonization versus the Nielsen-Ninomiya theorem","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T07:43:50.889197Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2607.09935"},"observation_digest":"sha256:9108001e7aa0df57df5b23e9503d8be85cd997ce837502d071cdf4afe97211f4","observation_id":"95b5d55f-f7e3-4dbd-a400-8d963e0146b6","resolution":{"observed_at":"2026-08-02T07:43:50.889197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.13047","snapshot_observed_at":"2026-08-01T02:52:29.875493Z","title":"Fazza and T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.25332","last_updated":"2026-07-28T06:32:43Z","snapshot_observed_at":"2026-08-06T12:26:37.579426Z","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":15,"source":"pdf_text","source_observed_at":"2026-08-01T02:52:29.875493Z"},"links":{"cited_paper":"/paper/2211.13047","citing_paper":"/paper/2607.25332"},"observation_digest":"sha256:2c355258c5749a0ce632cfd8cff429ad9796d9c78aa5e94f6a039cf5d29b9317","observation_id":"3e9fa0f3-f2c0-486b-b0fb-14073723e5fb","resolution":{"observed_at":"2026-08-01T02:52:29.875493Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2211.13047/citation-record","integrity":"/paper/2211.13047/integrity","json":"/paper/2211.13047/citation-record.json","paper":"/paper/2211.13047"},"outbound":[],"paper":{"arxiv_id":"2211.13047","last_updated":"2023-04-30T14:12:49Z","latest_version":4,"primary_category":"hep-th","snapshot_observed_at":"2026-08-05T01:09:42.187426Z","submitted_at":"2022-11-23T15:51:12Z","title":"Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities"},"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 14 inbound Pith citation observations for arXiv:2211.13047."}