{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HXKXKSWB5V4E7ME3YXZNUSMFVX","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":"c324b4ee752901e85014fb7286523529ab998c410fb01d132f5c652fe2eb1f23","cross_cats_sorted":["math.DS","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-19T15:00:02Z","title_canon_sha256":"b6dc7acd2a02d4db5215a32672ae7ddc1ce1b11c50819afcfd0f68a49c8ae109"},"schema_version":"1.0","source":{"id":"1307.5245","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5245","created_at":"2026-05-18T00:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5245v4","created_at":"2026-05-18T00:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5245","created_at":"2026-05-18T00:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"HXKXKSWB5V4E","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HXKXKSWB5V4E7ME3","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HXKXKSWB","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:2ffc20ab50f3e032a47cc34b423ebf70cf2d20a57caafca359ec8943de0dbd0d","target":"graph","created_at":"2026-05-18T00:23:02Z","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"},"paper":{"abstract_excerpt":"For any $n\\geqslant 4$ let $\\tilde B_n=B_n/Z(B_n)$ be the quotient of the braid group $B_n$ through its center. We prove that any free ergodic probability measure preserving (pmp) action $\\tilde B_n\\curvearrowright (X,\\mu)$ is W$^*$-superrigid in the following sense: if $L^{\\infty}(X)\\rtimes\\tilde B_n\\cong L^{\\infty}(Y)\\rtimes\\Lambda$, for an arbitrary free ergodic pmp action $\\Lambda\\curvearrowright (Y,\\nu)$, then the actions $\\tilde B_n\\curvearrowright X,\\Lambda\\curvearrowright Y$ are stably (or, virtually) conjugate. Moreover, we prove that the same holds if $\\tilde B_n$ is replaced with a ","authors_text":"Adrian Ioana, Ionut Chifan, Yoshikata Kida","cross_cats":["math.DS","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-19T15:00:02Z","title":"W*-superrigidity for arbitrary actions of central quotients of braid groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5245","kind":"arxiv","version":4},"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":"sha256:91b94b1ef0325961fb932bf25ef44eb3c3a8cf920aa0ad145b67c15c9a458725","target":"record","created_at":"2026-05-18T00:23:02Z","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":"c324b4ee752901e85014fb7286523529ab998c410fb01d132f5c652fe2eb1f23","cross_cats_sorted":["math.DS","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-19T15:00:02Z","title_canon_sha256":"b6dc7acd2a02d4db5215a32672ae7ddc1ce1b11c50819afcfd0f68a49c8ae109"},"schema_version":"1.0","source":{"id":"1307.5245","kind":"arxiv","version":4}},"canonical_sha256":"3dd5754ac1ed784fb09bc5f2da4985ade0e268e5b7139bc7dd353a7b2ef6a797","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dd5754ac1ed784fb09bc5f2da4985ade0e268e5b7139bc7dd353a7b2ef6a797","first_computed_at":"2026-05-18T00:23:02.323007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:02.323007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mGlDQcvLFh311tKEKdZGhC6f3NMVlbwgdXQHKWtdFwcAIw46k0UYh+V0H4zeYTB7OBIIIzt2w+zmDucpUYJkBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:02.323620Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5245","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91b94b1ef0325961fb932bf25ef44eb3c3a8cf920aa0ad145b67c15c9a458725","sha256:2ffc20ab50f3e032a47cc34b423ebf70cf2d20a57caafca359ec8943de0dbd0d"],"state_sha256":"9bd0eb0ec166575d023679d6ac37747ab169eb5559968f08ca9ace101cbeae8f"}