{"as_of":"2026-08-17T19:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:12166f0dab24ae8f85bd5ec29d991eb8aa65c291dbc0fee254c44e7b0682bd31","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:47:17.722368Z","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":"2026-08-06T22:12:30.892029Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.15181","last_updated":"2023-09-26T18:37:54Z","snapshot_observed_at":"2026-08-16T14:57:24.761713Z","submitted_at":"2023-09-26T18:37:54Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.15181","snapshot_observed_at":"2026-08-11T10:27:54.926151Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16681","last_updated":"2024-12-21T16:16:52Z","snapshot_observed_at":"2026-08-17T10:44:39.273711Z","submitted_at":"2024-12-21T16:16:52Z","title":"Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T10:27:54.926151Z"},"links":{"cited_paper":"/paper/2309.15181","citing_paper":"/paper/2412.16681"},"observation_digest":"sha256:2116efeb7d6e716b71bdd342eac41958ec9e72f9931563b154fdd1da6817e8ed","observation_id":"e4650620-a561-4aad-996c-99d83971b675","resolution":{"observed_at":"2026-08-11T10:27:54.926151Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.15181","last_updated":"2023-09-26T18:37:54Z","snapshot_observed_at":"2026-08-16T14:57:24.761713Z","submitted_at":"2023-09-26T18:37:54Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.15181","snapshot_observed_at":"2026-08-10T23:13:50.517454Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.21066","last_updated":"2024-12-30T16:34:54Z","snapshot_observed_at":"2026-08-15T17:18:54.784227Z","submitted_at":"2024-12-30T16:34:54Z","title":"3d $\\mathcal{N}=4$ Mirror Symmetry, TQFTs, and 't Hooft Anomaly Matching","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T23:13:50.517454Z"},"links":{"cited_paper":"/paper/2309.15181","citing_paper":"/paper/2412.21066"},"observation_digest":"sha256:f017095949cce24f33174b64f6d834ce0088a94a7179ac800d75857c558256c5","observation_id":"f26e9ab2-5526-491b-a7be-09534e13ee14","resolution":{"observed_at":"2026-08-10T23:13:50.517454Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.15181","last_updated":"2023-09-26T18:37:54Z","snapshot_observed_at":"2026-08-16T14:57:24.761713Z","submitted_at":"2023-09-26T18:37:54Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.15181","snapshot_observed_at":"2026-08-15T19:47:17.722368Z","title":"Buican and R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.15158","last_updated":"2025-07-23T05:15:26Z","snapshot_observed_at":"2026-08-17T02:37:44.005621Z","submitted_at":"2025-06-18T06:02:38Z","title":"ADE triality via (non-)invertible symmetry gauging","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T19:47:17.722368Z"},"links":{"cited_paper":"/paper/2309.15181","citing_paper":"/paper/2506.15158"},"observation_digest":"sha256:afa314ba881d487ccc6c3b2785b83bb4fd733f542e19d5e81bbb8261f3cdaabc","observation_id":"c97e69aa-7f2b-45d5-a3f6-09fbe4b68748","resolution":{"observed_at":"2026-08-15T19:47:17.722368Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.15181","last_updated":"2023-09-26T18:37:54Z","snapshot_observed_at":"2026-08-16T14:57:24.761713Z","submitted_at":"2023-09-26T18:37:54Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","version":1},"cited_work":{"arxiv_id":"2309.15181","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.15181","snapshot_observed_at":"2026-08-06T22:12:30.892029Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","venue":"hep-th","work_id":"97aabdaf-4acf-4ebf-a8b0-21c4b9858eea","year":2023},"citing_paper":{"arxiv_id":"2506.22544","last_updated":"2025-06-27T18:00:03Z","snapshot_observed_at":"2026-08-17T13:49:09.764086Z","submitted_at":"2025-06-27T18:00:03Z","title":"An Algebraic Theory of Gapped Domain Wall Partons","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T22:12:29.907814Z"},"links":{"cited_paper":"/paper/2309.15181","citing_paper":"/paper/2506.22544"},"observation_digest":"sha256:8253e5e3c30d8f79e92e912010b9dea554ee238aa1e49d80429a4e55b26ecec7","observation_id":"5d8722f6-7708-4c2f-9ea0-8687dfa91513","resolution":{"observed_at":"2026-08-06T22:12:30.966804Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.15181","last_updated":"2023-09-26T18:37:54Z","snapshot_observed_at":"2026-08-16T14:57:24.761713Z","submitted_at":"2023-09-26T18:37:54Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.15181","snapshot_observed_at":"2026-08-06T21:09:08.182768Z","title":"Invertibility of Condensation Defects and Symme- tries of 2 + 1d QFTs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.01142","last_updated":"2025-07-01T19:00:39Z","snapshot_observed_at":"2026-08-13T08:06:39.024636Z","submitted_at":"2025-07-01T19:00:39Z","title":"Gauging Non-Invertible Symmetries in (2+1)d Topological Orders","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T21:09:08.182768Z"},"links":{"cited_paper":"/paper/2309.15181","citing_paper":"/paper/2507.01142"},"observation_digest":"sha256:b4adb3c4a1b45ab20dd2965de953a8eb5ef1a963980a4227e03b898f32b13425","observation_id":"babe66b3-9f3b-422b-993a-fc16020f2b20","resolution":{"observed_at":"2026-08-06T21:09:08.182768Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2309.15181/citation-record","integrity":"/paper/2309.15181/integrity","json":"/paper/2309.15181/citation-record.json","paper":"/paper/2309.15181"},"outbound":[],"paper":{"arxiv_id":"2309.15181","last_updated":"2023-09-26T18:37:54Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-16T14:57:24.761713Z","submitted_at":"2023-09-26T18:37:54Z","title":"Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2309.15181."}