{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MAEV33JOR6TM5Y6RK4M73QDXAG","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":"081041db176680512c88f7a4c00de5339ffe69b33aac893e2b5a90df9ba86f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-01-06T20:11:16Z","title_canon_sha256":"65926d52c4c67051d61b09bd3d3c86fd247a41707cbd87973ec10de140df45cd"},"schema_version":"1.0","source":{"id":"1401.1186","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1186","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1186v2","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1186","created_at":"2026-05-18T02:54:30Z"},{"alias_kind":"pith_short_12","alias_value":"MAEV33JOR6TM","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MAEV33JOR6TM5Y6R","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MAEV33JO","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:ade01e5dbd8e4189c7eae11952a0e1736ae2e70267eaa80027f0074bd1c17214","target":"graph","created_at":"2026-05-18T02:54:30Z","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":"We prove that the continuous version of the Connes-Shlyakhtenko first L^2-cohomology for II_1 factors, as proposed by A. Thom in [Th06], always vanishes.","authors_text":"Sorin Popa, Stefaan Vaes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-01-06T20:11:16Z","title":"Vanishing of the first continuous L^2-cohomology for II_1 factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1186","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:fbc8155c0ef675555edacb03fd3050b8f05947aa98a510fe0b45e5898e4e950c","target":"record","created_at":"2026-05-18T02:54:30Z","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":"081041db176680512c88f7a4c00de5339ffe69b33aac893e2b5a90df9ba86f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-01-06T20:11:16Z","title_canon_sha256":"65926d52c4c67051d61b09bd3d3c86fd247a41707cbd87973ec10de140df45cd"},"schema_version":"1.0","source":{"id":"1401.1186","kind":"arxiv","version":2}},"canonical_sha256":"60095ded2e8fa6cee3d15719fdc07701984c60d0cd78544d2d582dcc0b482e81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60095ded2e8fa6cee3d15719fdc07701984c60d0cd78544d2d582dcc0b482e81","first_computed_at":"2026-05-18T02:54:30.370998Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:30.370998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YuApjkmyFZukX63U3QfHoc8inPTFfKmOi2aFY0q8E7n4KzNgj+IBnehgWWyL31hsGJx/vco7qNlElR7z4SP9BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:30.371465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.1186","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbc8155c0ef675555edacb03fd3050b8f05947aa98a510fe0b45e5898e4e950c","sha256:ade01e5dbd8e4189c7eae11952a0e1736ae2e70267eaa80027f0074bd1c17214"],"state_sha256":"6ebb4f1f21c5bc1f37dad97850dc5947e8974f95ea85efc09c0d9c98bbb2087e"}