{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YX5FXZP63ENTJX55GTAGYIDQAX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ad827452a5995efb5152cbe002467d2e7361073721b7401f996cb87ab9765603","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-05T05:26:17Z","title_canon_sha256":"4410fbc08e5f9f2ea5f9d885abb0b89150b9b2d17be0b32d2e33503d0a2553e2"},"schema_version":"1.0","source":{"id":"2107.01797","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.01797","created_at":"2026-07-05T03:12:10Z"},{"alias_kind":"arxiv_version","alias_value":"2107.01797v2","created_at":"2026-07-05T03:12:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.01797","created_at":"2026-07-05T03:12:10Z"},{"alias_kind":"pith_short_12","alias_value":"YX5FXZP63ENT","created_at":"2026-07-05T03:12:10Z"},{"alias_kind":"pith_short_16","alias_value":"YX5FXZP63ENTJX55","created_at":"2026-07-05T03:12:10Z"},{"alias_kind":"pith_short_8","alias_value":"YX5FXZP6","created_at":"2026-07-05T03:12:10Z"}],"graph_snapshots":[{"event_id":"sha256:ec1c189975c970acb234d6f141bf8dfa240a545e972639efa3c34cb83aef213f","target":"graph","created_at":"2026-07-05T03:12:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.01797/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop insertions. Partition functions with knotted Wilson loops are directly related to topological pseudo (R\\'enyi) entropies. We also show that the pseudo entropy in a certain setup is equivalent to the interface entropy in two-dimensional conformal field theories (CFTs), and leverage the equivalence to calculate the pseudo entropies in particular examples. Fur","authors_text":"Tadashi Takayanagi, Tatsuma Nishioka, Yusuke Taki","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-05T05:26:17Z","title":"Topological pseudo entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.01797","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:41e292b0579a73238fc85943c9425870263224418dbca20fd6462d0c858e62be","target":"record","created_at":"2026-07-05T03:12:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ad827452a5995efb5152cbe002467d2e7361073721b7401f996cb87ab9765603","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-05T05:26:17Z","title_canon_sha256":"4410fbc08e5f9f2ea5f9d885abb0b89150b9b2d17be0b32d2e33503d0a2553e2"},"schema_version":"1.0","source":{"id":"2107.01797","kind":"arxiv","version":2}},"canonical_sha256":"c5fa5be5fed91b34dfbd34c06c207005c64946c9f098384d0c336aa01f3f11d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5fa5be5fed91b34dfbd34c06c207005c64946c9f098384d0c336aa01f3f11d9","first_computed_at":"2026-07-05T03:12:10.168874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:12:10.168874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6F4OVVDIf0YP1OkMmze682QfkTzppT6ow974SWSnSWY+d4MmgXex7Gf0JDiJGqafaBj/XP1qjY4uQLrMeYfmAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:12:10.169222Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.01797","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41e292b0579a73238fc85943c9425870263224418dbca20fd6462d0c858e62be","sha256:ec1c189975c970acb234d6f141bf8dfa240a545e972639efa3c34cb83aef213f"],"state_sha256":"7a82ec45e2e8f9b1d889c3040eb9bec5ca65710cd511da73dd9eaeadc6d75bca"}