{"as_of":"2026-08-20T05:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:75dbe6a3bcc508efc6dacc3437c62b533c66cd81bb89f6b04381c67ec40ab23e","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:47:28.341515Z","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":"2026-07-01T16:25:49.553034Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-08-11T11:48:24.696103Z","title":"Semisimple and separable algebras in multi-fusion categories, 2017","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.15019","last_updated":"2025-05-05T14:35:54Z","snapshot_observed_at":"2026-08-17T08:09:54.154550Z","submitted_at":"2024-12-19T16:31:06Z","title":"Compact Semisimple Tensor 2-Categories are Morita Connected","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T11:48:24.696103Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2412.15019"},"observation_digest":"sha256:104feb39e77e61bad63398039b6112e7733ace85b4c7bf5edf48eb634f9e59a4","observation_id":"f5d4199e-bf51-4fcb-9087-54e15a20e29b","resolution":{"observed_at":"2026-08-11T11:48:24.696103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-08-10T23:26:36.620301Z","title":"Kong and H","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.20546","last_updated":"2025-03-31T16:03:21Z","snapshot_observed_at":"2026-08-15T15:48:13.737670Z","submitted_at":"2024-12-29T18:34:34Z","title":"Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry","version":2},"reference_index":116,"source":"pdf_text","source_observed_at":"2026-08-10T23:26:36.620301Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2412.20546"},"observation_digest":"sha256:a76df1cad059c9334c4c659b779ab9ba8fc271f1921f9a68088757d67f0832f8","observation_id":"857a07d0-d251-43eb-9e30-b76d1c9791a6","resolution":{"observed_at":"2026-08-10T23:26:36.620301Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-08-06T21:09:16.787460Z","title":"Semisimple and separable algebras in multi-fusion categories","venue":null,"work_id":null,"year":null},"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":95,"source":"pdf_text","source_observed_at":"2026-08-06T21:09:16.787460Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2507.01142"},"observation_digest":"sha256:a87ac3d180253ec9ced431a86548dc049723b511bf4d7b9fbd96d9211e790bf2","observation_id":"288cd41c-b93d-431e-bd79-a88946c31bc0","resolution":{"observed_at":"2026-08-06T21:09:16.787460Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":"1706.06904","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-07-01T16:25:49.553034Z","title":"Kong and H","venue":null,"work_id":"e700f15f-3899-4e5a-a4d1-41c2875b7204","year":2019},"citing_paper":{"arxiv_id":"2605.27193","last_updated":"2026-05-26T15:45:35Z","snapshot_observed_at":"2026-08-08T05:59:46.124891Z","submitted_at":"2026-05-26T15:45:35Z","title":"Algebras of order parameters in one-dimensional spin systems","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-07-01T16:24:07.943937Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2605.27193"},"observation_digest":"sha256:4f55922b893e0128f8a2f8ec4947ccc1ca415377c3ed25d590f821a2089985e5","observation_id":"802f6f4d-3a5f-414f-a06e-9e4c32befb01","resolution":{"observed_at":"2026-07-01T16:25:49.554355Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-08-15T14:47:28.341515Z","title":"Semisimple and separable algebras in multi-fusion categories","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.04940","last_updated":"2026-08-05T15:06:04Z","snapshot_observed_at":"2026-08-18T15:53:46.111504Z","submitted_at":"2026-08-05T15:06:04Z","title":"Classification of symmetric fusion categories over $\\mathbb{R}$","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T14:47:28.341515Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2608.04940"},"observation_digest":"sha256:fd2d0f33a6f31b9f37d18d86ef5d7f7ed7608bbbaba4f4d81ba94c4fa27dd8c6","observation_id":"a8f1a104-32d7-492c-baf5-29196b17a4bf","resolution":{"observed_at":"2026-08-15T14:47:28.341515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.06904","snapshot_observed_at":"2026-08-06T06:08:09.457092Z","title":"Semisimple and separable algebras in multi-fusion categories,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.05071","last_updated":"2026-08-12T05:03:43Z","snapshot_observed_at":"2026-08-15T23:09:36.758170Z","submitted_at":"2026-08-05T17:16:19Z","title":"Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T06:08:09.457092Z"},"links":{"cited_paper":"/paper/1706.06904","citing_paper":"/paper/2608.05071"},"observation_digest":"sha256:475b6ec72dc2c27c549c22ca6b43408bcd02f84ee6bf094df45bb0c146f92197","observation_id":"536b9844-31f5-4437-83a6-c1c8944c7a5a","resolution":{"observed_at":"2026-08-06T06:08:09.457092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1706.06904/citation-record","integrity":"/paper/1706.06904/integrity","json":"/paper/1706.06904/citation-record.json","paper":"/paper/1706.06904"},"outbound":[],"paper":{"arxiv_id":"1706.06904","last_updated":"2019-11-21T15:24:07Z","latest_version":2,"primary_category":"math.QA","snapshot_observed_at":"2026-08-14T20:52:34.006463Z","submitted_at":"2017-06-21T13:47:33Z","title":"Semisimple and separable algebras in multi-fusion categories"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1706.06904."}