{"as_of":"2026-08-07T19:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9575f732e7b7f8b63a232623b9b3e532f68b930973994cc37a50401f51dfa197","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":"2026-08-07T06:34:17.273281+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":"2026-08-07T15:09:35.504615Z","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":"2026-07-03T21:48:59.270938Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":"2003.06663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-07-03T21:48:59.270938Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":"dc21af23-bb4f-4ba2-82cf-4207e81dc636","year":2022},"citing_paper":{"arxiv_id":"2305.18296","last_updated":"2023-06-07T01:44:22Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-05-29T17:59:50Z","title":"ICTP Lectures on (Non-)Invertible Generalized Symmetries","version":2},"reference_index":112,"source":"pdf_text","source_observed_at":"2026-05-16T07:50:05.029267Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2305.18296"},"observation_digest":"sha256:7dccbf76d25bc7882d104f8a1cd07a32751ba3bc39fc27263b459d2c72b19268","observation_id":"7f70cfab-0c5e-42ae-9cae-857f07cf26da","resolution":{"observed_at":"2026-05-16T07:50:05.521709Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-08-07T15:09:35.504615Z","title":"On the Classification of Topological Orders,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.16546","last_updated":"2025-06-01T14:51:25Z","snapshot_observed_at":"2026-08-07T14:56:45.588301Z","submitted_at":"2025-05-22T11:37:23Z","title":"Twisted Partition Functions as Order Parameters","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T15:09:35.504615Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2505.16546"},"observation_digest":"sha256:798033a13a84197f3181e958cc340f4a229d9672597acdcc11d2430d12e717d7","observation_id":"8acc9a8e-a237-43be-8dc6-e5e9d4ac3bc5","resolution":{"observed_at":"2026-08-07T15:09:35.504615Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-08-07T10:50:53.818329Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.04346","last_updated":"2025-06-04T18:03:19Z","snapshot_observed_at":"2026-08-07T17:31:35.084355Z","submitted_at":"2025-06-04T18:03:19Z","title":"On the Physics of Higher Condensation Defects","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T10:50:53.818329Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2506.04346"},"observation_digest":"sha256:db5453135a2dae3fc876452733791c06535bbafe75c985d47c07a844690feaf2","observation_id":"f636dff5-ff60-4947-8312-5604e95b3c38","resolution":{"observed_at":"2026-08-07T10:50:53.818329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-08-06T22:12:29.045561Z","title":"On the Classification of Topological Orders,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.22544","last_updated":"2025-06-27T18:00:03Z","snapshot_observed_at":"2026-08-06T22:01:30.151891Z","submitted_at":"2025-06-27T18:00:03Z","title":"An Algebraic Theory of Gapped Domain Wall Partons","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T22:12:29.045561Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2506.22544"},"observation_digest":"sha256:38e8a64f6030e72414e6920b53f3f01d0b1a9507647f2ba5dd13b38cd7892bb8","observation_id":"572debc1-d6cb-415b-b7f5-71185e1cefd8","resolution":{"observed_at":"2026-08-06T22:12:29.045561Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-08-04T17:50:08.126316Z","title":"On the Classification of Topological Orders","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.10636","last_updated":"2025-09-12T18:46:57Z","snapshot_observed_at":"2026-08-06T16:53:52.803853Z","submitted_at":"2025-09-12T18:46:57Z","title":"Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology","version":1},"reference_index":2000,"source":"pdf_text","source_observed_at":"2026-08-04T17:50:08.126316Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2509.10636"},"observation_digest":"sha256:33ea4124be6c23e3fb2d5fc6d7be406792105ea27be8b76e70f0bc72a2d43e54","observation_id":"fdcc278c-4357-4545-b3cc-e357ee1546c4","resolution":{"observed_at":"2026-08-04T17:50:08.126316Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":"2003.06663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-07-03T21:48:59.270938Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":"dc21af23-bb4f-4ba2-82cf-4207e81dc636","year":2022},"citing_paper":{"arxiv_id":"2511.11059","last_updated":"2026-04-08T02:12:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-11-14T08:17:29Z","title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","version":3},"reference_index":273,"source":"pdf_text","source_observed_at":"2026-05-17T22:50:14.741276Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2511.11059"},"observation_digest":"sha256:1a7a565fcb832ed2412011630136086f07ed0ac15c219cab3f4ab38706c72fe8","observation_id":"565f9c44-b004-45e0-b9b3-2857220f1967","resolution":{"observed_at":"2026-05-17T22:50:25.185435Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":"2003.06663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-07-03T21:48:59.270938Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":"dc21af23-bb4f-4ba2-82cf-4207e81dc636","year":2022},"citing_paper":{"arxiv_id":"2603.12323","last_updated":"2026-04-20T21:42:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-03-12T18:00:02Z","title":"On the SymTFTs of Finite Non-Abelian Symmetries","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-15T11:33:18.662351Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2603.12323"},"observation_digest":"sha256:4eb066dbbb131a12a197433c763d956456439dd2853da32099821b6c681a16f6","observation_id":"e7ceae35-4f64-4216-bd4b-18f0498b3f0f","resolution":{"observed_at":"2026-05-15T11:35:31.441696Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":"2003.06663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-07-03T21:48:59.270938Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":"dc21af23-bb4f-4ba2-82cf-4207e81dc636","year":2022},"citing_paper":{"arxiv_id":"2604.24847","last_updated":"2026-04-27T18:00:01Z","snapshot_observed_at":"2026-07-06T23:10:47.277692Z","submitted_at":"2026-04-27T18:00:01Z","title":"The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-08T01:19:18.233755Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2604.24847"},"observation_digest":"sha256:41b8f8fbc5d6161a0131af99855c0c7340210af57d21baf92dca49fdf0aab3a8","observation_id":"86e51808-3e44-4b2a-a789-89524e698bed","resolution":{"observed_at":"2026-05-11T23:11:16.398897Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":"2003.06663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-07-03T21:48:59.270938Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":"dc21af23-bb4f-4ba2-82cf-4207e81dc636","year":2022},"citing_paper":{"arxiv_id":"2605.03891","last_updated":"2026-05-05T15:48:37Z","snapshot_observed_at":"2026-07-06T23:16:44.876986Z","submitted_at":"2026-05-05T15:48:37Z","title":"Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-05-07T04:07:13.027020Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2605.03891"},"observation_digest":"sha256:ef874fefc2d73a48e6509e27be96186500a1444a7e2c591faf2b219358b0cb68","observation_id":"5e95cf10-87d1-4ffa-8ad9-778c263e43bd","resolution":{"observed_at":"2026-05-12T10:41:30.920826Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders","version":5},"cited_work":{"arxiv_id":"2003.06663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.06663","snapshot_observed_at":"2026-07-03T21:48:59.270938Z","title":"Johnson-Freyd,On the Classification of Topological Orders,Commun","venue":null,"work_id":"dc21af23-bb4f-4ba2-82cf-4207e81dc636","year":2022},"citing_paper":{"arxiv_id":"2606.17708","last_updated":"2026-06-22T03:13:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-16T09:18:51Z","title":"Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-27T00:11:02.022176Z"},"links":{"cited_paper":"/paper/2003.06663","citing_paper":"/paper/2606.17708"},"observation_digest":"sha256:b1cc5460434225813c9865cd5ad131ec3deb2c8750fd17396be1eb867da8d645","observation_id":"2faf0645-d10f-4fd9-a7e2-9abaa075457c","resolution":{"observed_at":"2026-07-03T21:48:59.272151Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2003.06663/citation-record","integrity":"/paper/2003.06663/integrity","json":"/paper/2003.06663/citation-record.json","paper":"/paper/2003.06663"},"outbound":[],"paper":{"arxiv_id":"2003.06663","last_updated":"2022-06-13T19:17:32Z","latest_version":5,"primary_category":"math.CT","snapshot_observed_at":"2026-08-03T20:26:06.055275Z","submitted_at":"2020-03-14T15:56:45Z","title":"On the classification of topological orders"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2003.06663."}