{"as_of":"2026-08-18T08:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:afb60b0e6e6201bd43574c2ed4692a7dcd3f8794253a50c120cb7edece6fcb95","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":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":15,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:56:06.243323Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-03T13:08:07.775323Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-08-14T11:56:06.243323Z","title":"Vijay, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.08049","last_updated":"2019-08-21T18:00:00Z","snapshot_observed_at":"2026-08-15T06:06:34.892401Z","submitted_at":"2019-08-21T18:00:00Z","title":"Sorting topological stabilizer models in three dimensions","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:56:06.243323Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/1908.08049"},"observation_digest":"sha256:f4cde6db556fd72d1bbdaeba7ead1250d460e29089a01ca45e60344cd5af643f","observation_id":"a38a3f7c-9784-4b49-b6ef-ece421d4d150","resolution":{"observed_at":"2026-08-14T11:56:06.243323Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-08-14T11:45:31.132351Z","title":"Vijay, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.08536","last_updated":"2019-08-22T18:00:00Z","snapshot_observed_at":"2026-08-15T19:25:44.463430Z","submitted_at":"2019-08-22T18:00:00Z","title":"Electric Circuit Realizations of Fracton Physics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:45:31.132351Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/1908.08536"},"observation_digest":"sha256:32004de23b311924bc804b9b4e2fd1eb3036ea14b4c1a6cb8dc4fcd61dd40237","observation_id":"772181ca-a6f0-4063-8445-2cd8e8b31fe1","resolution":{"observed_at":"2026-08-14T11:45:31.132351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2205.09545","last_updated":"2022-05-19T13:15:29Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2022-05-19T13:15:29Z","title":"Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond","version":1},"reference_index":133,"source":"pdf_text","source_observed_at":"2026-05-21T13:21:27.164386Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2205.09545"},"observation_digest":"sha256:99c650c62ddab321759be58bb3281abf57793a4c4bb5d2c2d54074c3635b9494","observation_id":"ce9e7d8d-6118-4ae1-8ed5-1eb8a80cabb2","resolution":{"observed_at":"2026-05-21T13:21:27.724861Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2301.05687","last_updated":"2026-05-01T07:16:30Z","snapshot_observed_at":"2026-08-17T01:00:14.470021Z","submitted_at":"2023-01-13T18:15:04Z","title":"Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-24T10:19:50.234122Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2301.05687"},"observation_digest":"sha256:185a695fc5c5108b70d6f8bc0701b29fdaeebb0d842c18b91183338868ef8a89","observation_id":"ffafe574-b34e-4882-abb6-cf516b11063f","resolution":{"observed_at":"2026-05-24T10:24:20.709810Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2406.07334","last_updated":"2026-05-21T12:57:14Z","snapshot_observed_at":"2026-08-12T17:29:22.483722Z","submitted_at":"2024-06-11T15:02:51Z","title":"Fractonic solids","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T00:04:12.033845Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2406.07334"},"observation_digest":"sha256:ccfda1b8a750dceb3e839210a3d1811d7013274b5a2ba320be03c379cc85049d","observation_id":"e3b33da7-0776-45f4-bf72-9f6d183edd5e","resolution":{"observed_at":"2026-05-24T00:05:53.207371Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-08-12T14:14:36.545377Z","title":"Vijay, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2411.15608","last_updated":"2024-11-23T17:11:46Z","snapshot_observed_at":"2026-08-18T07:22:30.670069Z","submitted_at":"2024-11-23T17:11:46Z","title":"Condensation of Magnetic Fluxes and Landscape of QCD Vacuum","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T14:14:36.545377Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2411.15608"},"observation_digest":"sha256:428a633607ccc8fc7d0d633606a739efbdd4f6e871c7d041ed2f489a9187adcf","observation_id":"a7cb55a4-9961-4a46-a2b2-9ee3e451c8aa","resolution":{"observed_at":"2026-08-12T14:14:36.545377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2504.11449","last_updated":"2026-03-23T15:19:02Z","snapshot_observed_at":"2026-08-15T03:59:47.045974Z","submitted_at":"2025-04-15T17:57:58Z","title":"SymTFT construction of gapless exotic-foliated dual models","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-22T20:17:13.976164Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2504.11449"},"observation_digest":"sha256:9b505f238f1186a4f91ce6f27fa9f960155f8df14d3f01630c43197785aebef6","observation_id":"e369612c-8367-4103-9995-ab64e9d4d47f","resolution":{"observed_at":"2026-05-22T20:22:03.943586Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2506.23155","last_updated":"2026-03-21T02:04:11Z","snapshot_observed_at":"2026-08-13T04:33:18.573080Z","submitted_at":"2025-06-29T09:28:37Z","title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","version":4},"reference_index":124,"source":"pdf_text","source_observed_at":"2026-05-19T08:04:49.812169Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2506.23155"},"observation_digest":"sha256:ef645bfa681f575c08e6a877495467ef3e09ff629de0cadc97c8493666e6495d","observation_id":"445224ea-06ad-44f6-9436-8a8a8da981c6","resolution":{"observed_at":"2026-05-19T08:07:11.643324Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-08-06T15:09:51.034727Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.16744","last_updated":"2025-07-22T16:34:38Z","snapshot_observed_at":"2026-08-13T21:36:40.404769Z","submitted_at":"2025-07-22T16:34:38Z","title":"Notes from the bulk","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T15:09:51.034727Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2507.16744"},"observation_digest":"sha256:f5d14e4f4e15f3995532a1adb92f2651823b3a30a952cee82f542be04ee1ccae","observation_id":"7b2fd18a-15bb-4e2b-b125-a13e00b8cd0f","resolution":{"observed_at":"2026-08-06T15:09:51.034727Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-13T22:07:26.204482Z","title":"Fracton topological order, generalized lattice gauge theory and duality.arXiv preprint arXiv:1603.04442, 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.19189","last_updated":"2026-06-15T18:09:25Z","snapshot_observed_at":"2026-08-15T02:26:23.743497Z","submitted_at":"2026-03-19T17:44:13Z","title":"Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-13T22:07:26.204482Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2603.19189"},"observation_digest":"sha256:4f97ffdbf1b3d6c372203ebf6df15f29f65aede6d418e952afa05ccec1094da3","observation_id":"bea9a6d7-be57-44f8-9a9c-8fb8c4905715","resolution":{"observed_at":"2026-07-13T22:07:26.204482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2604.27363","last_updated":"2026-04-30T03:19:28Z","snapshot_observed_at":"2026-07-06T23:12:52.141592Z","submitted_at":"2026-04-30T03:19:28Z","title":"Constructing Bulk Topological Orders via Layered Gauging","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-07T10:16:03.883006Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2604.27363"},"observation_digest":"sha256:921760d28c19179ecd9ad951c7f97cec257595f298fd0d4c8b4300ce0bcf9470","observation_id":"7a9abd5c-99c5-487f-b6e2-b9b872c03644","resolution":{"observed_at":"2026-05-12T09:36:26.715775Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2606.03582","last_updated":"2026-06-02T12:50:55Z","snapshot_observed_at":"2026-08-08T12:42:01.851207Z","submitted_at":"2026-06-02T12:50:55Z","title":"Fracton Topological Holography","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-06-28T10:12:23.439370Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2606.03582"},"observation_digest":"sha256:311659884baf49baf4a22097372358f7dce0c9f29042be414eef3b723a7e9dec","observation_id":"d758e4b2-fd6d-43c4-a5e9-55ada302d1e9","resolution":{"observed_at":"2026-07-02T03:16:34.129822Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2606.12367","last_updated":"2026-07-31T13:34:59Z","snapshot_observed_at":"2026-08-17T01:30:05.675903Z","submitted_at":"2026-06-10T17:34:37Z","title":"Nonadditivity in Quantum Field Theory: Replica Energies, Scaling Filters, and the Renormalization Group","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-27T09:11:45.924190Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2606.12367"},"observation_digest":"sha256:6c4adae87885e6e8d6cd797b38a3ede44df176b53097bb1f6eff2054dc619b41","observation_id":"be6f61b8-c4f0-4614-b2dc-5b93d500d921","resolution":{"observed_at":"2026-07-03T11:58:06.863123Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-08-03T02:15:57.490706Z","title":"Vijay, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.12367","last_updated":"2026-07-31T13:34:59Z","snapshot_observed_at":"2026-08-17T01:30:05.675903Z","submitted_at":"2026-06-10T17:34:37Z","title":"Nonadditivity in Quantum Field Theory: Replica Energies, Scaling Filters, and the Renormalization Group","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T02:15:57.490706Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2606.12367"},"observation_digest":"sha256:bb175b53658da43be7f7244791e4de6198ccc6847a5c9000631a75b636e742a5","observation_id":"2a37277f-97bb-44af-8211-02ac6c5913fd","resolution":{"observed_at":"2026-08-03T02:15:57.490706Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","version":1},"cited_work":{"arxiv_id":"1603.04442","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.04442","snapshot_observed_at":"2026-07-03T13:08:07.775323Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","venue":"cond-mat.str-el","work_id":"0838f4fa-187c-45e1-9523-2e278e86d992","year":2016},"citing_paper":{"arxiv_id":"2607.01624","last_updated":"2026-07-02T02:44:27Z","snapshot_observed_at":"2026-08-03T05:18:29.569624Z","submitted_at":"2026-07-02T02:44:27Z","title":"Shallow Unitary Circuits for Kramers-Wannier Dualities","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-03T13:03:07.098539Z"},"links":{"cited_paper":"/paper/1603.04442","citing_paper":"/paper/2607.01624"},"observation_digest":"sha256:3f1724dc8243e2856c0b0c196ab3b67339d309c6f08aed0a8976458b2519965e","observation_id":"5277eb20-42a8-4ce1-ab80-863b6fd3effc","resolution":{"observed_at":"2026-07-03T13:08:07.777015Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1603.04442/citation-record","integrity":"/paper/1603.04442/integrity","json":"/paper/1603.04442/citation-record.json","paper":"/paper/1603.04442"},"outbound":[],"paper":{"arxiv_id":"1603.04442","last_updated":"2016-03-14T20:00:03Z","latest_version":1,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-14T22:06:05.420041Z","submitted_at":"2016-03-14T20:00:03Z","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:1603.04442."}