{"as_of":"2026-08-10T02:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:659a4f8613983050a39c3f42e82f853e87625a42960e4bb570c5634b6831a27a","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:35:34.761445Z","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":"2026-07-04T15:19:56.767155Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2110.13946","last_updated":"2021-10-24T13:53:38Z","snapshot_observed_at":"2026-08-03T17:59:38.197690Z","submitted_at":"2021-10-24T13:53:38Z","title":"Mixed-state TQFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.13946","snapshot_observed_at":"2026-08-06T19:35:34.761445Z","title":"Mixed-state TQFTs,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.05350","last_updated":"2025-07-07T18:00:02Z","snapshot_observed_at":"2026-08-09T16:51:44.692436Z","submitted_at":"2025-07-07T18:00:02Z","title":"SymTFT Approach for Mixed States with Non-Invertible Symmetries","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T19:35:34.761445Z"},"links":{"cited_paper":"/paper/2110.13946","citing_paper":"/paper/2507.05350"},"observation_digest":"sha256:891cfa9e9794368b5bd0fd132152a1ad77e6a8f06c201ac1c9d297ccfc2bfaaa","observation_id":"63f06182-a6e6-4bb8-9857-a59a810fd48c","resolution":{"observed_at":"2026-08-06T19:35:34.761445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13946","last_updated":"2021-10-24T13:53:38Z","snapshot_observed_at":"2026-08-03T17:59:38.197690Z","submitted_at":"2021-10-24T13:53:38Z","title":"Mixed-state TQFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.13946","snapshot_observed_at":"2026-08-06T11:26:03.749191Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.22989","last_updated":"2025-07-30T18:00:04Z","snapshot_observed_at":"2026-08-09T21:38:10.023261Z","submitted_at":"2025-07-30T18:00:04Z","title":"Tensor Network Representations for Intrinsically Mixed-State Topological Orders","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:26:03.749191Z"},"links":{"cited_paper":"/paper/2110.13946","citing_paper":"/paper/2507.22989"},"observation_digest":"sha256:87295c3bb99cd33fb4cd641df5db45d7bcabecf957f58321d780fe75a5b662d8","observation_id":"01ca7fe2-216c-4981-aa17-b9d40ba66e4d","resolution":{"observed_at":"2026-08-06T11:26:03.749191Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13946","last_updated":"2021-10-24T13:53:38Z","snapshot_observed_at":"2026-08-03T17:59:38.197690Z","submitted_at":"2021-10-24T13:53:38Z","title":"Mixed-state TQFTs","version":1},"cited_work":{"arxiv_id":"2110.13946","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2110.13946","snapshot_observed_at":"2026-07-04T15:19:56.767155Z","title":"2021.arXiv e-prints:arXiv:2110.13946","venue":null,"work_id":"7e484930-f92d-4409-ae83-ca36fd86b2d2","year":2021},"citing_paper":{"arxiv_id":"2606.02555","last_updated":"2026-06-08T05:12:17Z","snapshot_observed_at":"2026-07-06T23:42:58.036516Z","submitted_at":"2026-06-01T17:51:09Z","title":"Strong-to-Weak Spontaneous Symmetry Breaking","version":2},"reference_index":109,"source":"pdf_text","source_observed_at":"2026-06-28T14:16:27.400490Z"},"links":{"cited_paper":"/paper/2110.13946","citing_paper":"/paper/2606.02555"},"observation_digest":"sha256:166d259712fb19f07b980836b5e339bbbfbd53d4a0f62f1485b133245d6df669","observation_id":"f80c3c6a-3e39-4201-a88c-3cd5b55e2407","resolution":{"observed_at":"2026-07-01T23:36:22.074811Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.13946","last_updated":"2021-10-24T13:53:38Z","snapshot_observed_at":"2026-08-03T17:59:38.197690Z","submitted_at":"2021-10-24T13:53:38Z","title":"Mixed-state TQFTs","version":1},"cited_work":{"arxiv_id":"2110.13946","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2110.13946","snapshot_observed_at":"2026-07-04T15:19:56.767155Z","title":"2021.arXiv e-prints:arXiv:2110.13946","venue":null,"work_id":"7e484930-f92d-4409-ae83-ca36fd86b2d2","year":2021},"citing_paper":{"arxiv_id":"2606.26235","last_updated":"2026-06-24T18:00:03Z","snapshot_observed_at":"2026-07-07T00:00:36.766142Z","submitted_at":"2026-06-24T18:00:03Z","title":"Measures of Chirality in Mixed-State Topological Phases","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-26T01:43:39.810830Z"},"links":{"cited_paper":"/paper/2110.13946","citing_paper":"/paper/2606.26235"},"observation_digest":"sha256:1b564453489ea13ad0f96f9010dcce4913b9489d11b831942a5f59f5d23d5b4d","observation_id":"437a2195-8dcb-486b-987f-0fd554d84e9d","resolution":{"observed_at":"2026-07-04T15:19:56.768581Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2110.13946/citation-record","integrity":"/paper/2110.13946/integrity","json":"/paper/2110.13946/citation-record.json","paper":"/paper/2110.13946"},"outbound":[],"paper":{"arxiv_id":"2110.13946","last_updated":"2021-10-24T13:53:38Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-03T17:59:38.197690Z","submitted_at":"2021-10-24T13:53:38Z","title":"Mixed-state TQFTs"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2110.13946."}