{"as_of":"2026-08-08T10:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9384cb8c4a42eede3c73900bc3feea01e10d0091793a3be9529f117d8983789e","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T10:28:40.360443Z","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":"2026-07-02T10:16:51.878054Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-08-07T10:28:40.360443Z","title":"A Gapless Phase with Haagerup Symmetry,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.05324","last_updated":"2025-06-24T07:47:07Z","snapshot_observed_at":"2026-08-07T14:19:24.347113Z","submitted_at":"2025-06-05T17:58:04Z","title":"A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T10:28:40.360443Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2506.05324"},"observation_digest":"sha256:046ea159a53cbbdd41e658269923d38f524bc5b99cdce7c929509f423fad431f","observation_id":"93e09681-a1ef-41c6-8dfa-aded2fd38493","resolution":{"observed_at":"2026-08-07T10:28:40.360443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-08-06T19:35:34.662121Z","title":"Construction of a Gapless Phase with Haagerup Symmetry,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.05350","last_updated":"2025-07-07T18:00:02Z","snapshot_observed_at":"2026-08-06T19:25:42.605470Z","submitted_at":"2025-07-07T18:00:02Z","title":"SymTFT Approach for Mixed States with Non-Invertible Symmetries","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:35:34.662121Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2507.05350"},"observation_digest":"sha256:ce44696c5c0bf2a1c54af7d7119c5334e88345e7599f86f1260d13e30ba3a090","observation_id":"d43095e4-560a-425f-ab1e-4b73a9cd7953","resolution":{"observed_at":"2026-08-06T19:35:34.662121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-08-06T16:15:49.396570Z","title":"Construction of a Gapless Phase with Haagerup Symmetry,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.14280","last_updated":"2026-06-13T16:08:37Z","snapshot_observed_at":"2026-08-06T19:16:31.819634Z","submitted_at":"2025-07-18T18:00:00Z","title":"Irrational CFTs from coupled anyon chains with non-invertible symmetries?","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T16:15:49.396570Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2507.14280"},"observation_digest":"sha256:711ae3f3548871121a4e2010df3e5da7ce93b41113f0a18899d04e2ab1d34916","observation_id":"75bda0f4-b52f-49d4-8c39-30455cc48c03","resolution":{"observed_at":"2026-08-06T16:15:49.396570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-08-04T21:32:53.438177Z","title":"Construction of a Gapless Phase with Haagerup Symmetry,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.07965","last_updated":"2025-09-12T17:14:56Z","snapshot_observed_at":"2026-08-04T21:32:45.176235Z","submitted_at":"2025-09-09T17:52:09Z","title":"Symmetry TFTs for Continuous Spacetime Symmetries","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:53.438177Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2509.07965"},"observation_digest":"sha256:87260061b3d957318ad1e374079a2fab17e1b69599e8af8242a1a1e5435a1d0f","observation_id":"5031bda5-8ca7-47a5-b5b2-be91510f775c","resolution":{"observed_at":"2026-08-04T21:32:53.438177Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":"2410.19040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-07-02T10:16:51.878054Z","title":"Construction of a Gapless Phase with Haagerup Symmetry","venue":null,"work_id":"68c5402b-60ba-4c09-8801-ed172d65883a","year":2025},"citing_paper":{"arxiv_id":"2509.22051","last_updated":"2026-04-20T08:17:21Z","snapshot_observed_at":"2026-08-02T10:30:46.834860Z","submitted_at":"2025-09-26T08:34:55Z","title":"From gauging to duality in one-dimensional quantum lattice models","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-18T13:15:07.797610Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2509.22051"},"observation_digest":"sha256:199857918719e01b45b3d3f18c1868de38f4656c6d5015aff2c9ef51278d13fe","observation_id":"5414f9b6-0abc-4636-b5dd-230d0346690e","resolution":{"observed_at":"2026-05-18T13:16:24.208404Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":"2410.19040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-07-02T10:16:51.878054Z","title":"Construction of a Gapless Phase with Haagerup Symmetry","venue":null,"work_id":"68c5402b-60ba-4c09-8801-ed172d65883a","year":2025},"citing_paper":{"arxiv_id":"2605.15194","last_updated":"2026-05-14T17:59:45Z","snapshot_observed_at":"2026-08-04T17:10:53.596938Z","submitted_at":"2026-05-14T17:59:45Z","title":"Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-15T02:51:36.560672Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2605.15194"},"observation_digest":"sha256:f9d9561445fc08dea0034bd14a4961e04ae4f70adda4d30604e04448205b946a","observation_id":"ad935686-af63-4dee-b419-f70556fab385","resolution":{"observed_at":"2026-05-15T02:53:33.742127Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":"2410.19040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-07-02T10:16:51.878054Z","title":"Construction of a Gapless Phase with Haagerup Symmetry","venue":null,"work_id":"68c5402b-60ba-4c09-8801-ed172d65883a","year":2025},"citing_paper":{"arxiv_id":"2605.28946","last_updated":"2026-07-07T09:59:42Z","snapshot_observed_at":"2026-07-12T15:47:02.664995Z","submitted_at":"2026-05-27T18:00:05Z","title":"Constrained integrability and anyonic chains","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-29T10:35:57.997433Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2605.28946"},"observation_digest":"sha256:530a0fc5bde7228579dd4d86c4a62e813c34c2badbf48212340a5da4b1c0655a","observation_id":"8a3549ab-005b-4357-b713-e6eabc734e7a","resolution":{"observed_at":"2026-06-29T11:13:21.461641Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":"2410.19040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-07-02T10:16:51.878054Z","title":"Construction of a Gapless Phase with Haagerup Symmetry","venue":null,"work_id":"68c5402b-60ba-4c09-8801-ed172d65883a","year":2025},"citing_paper":{"arxiv_id":"2605.31601","last_updated":"2026-07-03T17:29:11Z","snapshot_observed_at":"2026-08-02T05:30:20.921469Z","submitted_at":"2026-05-29T17:59:38Z","title":"Twin Phases: Intrinsic Deconfined Quantum Criticality","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-28T20:48:25.313678Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2605.31601"},"observation_digest":"sha256:33779bb7e53a6322af9cc0a2bbf3b2d132cb3544294bcc5610af9d9bbf07dd87","observation_id":"005b1046-b68c-46d3-9396-ef6c8a825700","resolution":{"observed_at":"2026-06-28T20:52:37.476735Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":"2410.19040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-07-02T10:16:51.878054Z","title":"Construction of a Gapless Phase with Haagerup Symmetry","venue":null,"work_id":"68c5402b-60ba-4c09-8801-ed172d65883a","year":2025},"citing_paper":{"arxiv_id":"2605.31602","last_updated":"2026-05-29T17:59:38Z","snapshot_observed_at":"2026-08-06T12:50:20.306395Z","submitted_at":"2026-05-29T17:59:38Z","title":"Twin Algebras: Condensable Algebras beyond Anyons","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-28T20:50:46.443047Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2605.31602"},"observation_digest":"sha256:306fcce7d2728e84ec11e0bd52a80fabc8a02146572fa769e06bb97397f554ad","observation_id":"0282b5cc-3385-4ff2-a2b0-da584d08d601","resolution":{"observed_at":"2026-06-28T20:52:37.269701Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry","version":4},"cited_work":{"arxiv_id":"2410.19040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.19040","snapshot_observed_at":"2026-07-02T10:16:51.878054Z","title":"Construction of a Gapless Phase with Haagerup Symmetry","venue":null,"work_id":"68c5402b-60ba-4c09-8801-ed172d65883a","year":2025},"citing_paper":{"arxiv_id":"2606.05279","last_updated":"2026-06-03T18:00:00Z","snapshot_observed_at":"2026-08-02T13:11:18.915766Z","submitted_at":"2026-06-03T18:00:00Z","title":"Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras","version":1},"reference_index":135,"source":"pdf_text","source_observed_at":"2026-06-28T05:12:12.178791Z"},"links":{"cited_paper":"/paper/2410.19040","citing_paper":"/paper/2606.05279"},"observation_digest":"sha256:dc69f8576a0526fef3cede0c517498874c9958bfbf4eefdc2134e6e4cd2f281f","observation_id":"a6e755ba-d974-4c75-9060-9c982d18e23c","resolution":{"observed_at":"2026-07-02T10:16:51.879838Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.19040/citation-record","integrity":"/paper/2410.19040/integrity","json":"/paper/2410.19040/citation-record.json","paper":"/paper/2410.19040"},"outbound":[],"paper":{"arxiv_id":"2410.19040","last_updated":"2025-06-13T16:43:30Z","latest_version":4,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T19:39:19.409512Z","submitted_at":"2024-10-24T18:00:01Z","title":"A Gapless Phase with Haagerup Symmetry"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2410.19040."}