{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JX6A427TYQQAVAUEAFDFDES6F2","short_pith_number":"pith:JX6A427T","canonical_record":{"source":{"id":"1404.3462","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-14T05:28:59Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"a3257e0a9a6e628d1e2b85e9b28d0514da7942b5ca8c44be77cb314e19ea4941","abstract_canon_sha256":"5e7ce8188a85fd8abab338ea98d3781f8117f57d3a735607538a98aea94c5680"},"schema_version":"1.0"},"canonical_sha256":"4dfc0e6bf3c4200a8284014651925e2e908fe604a60344d4cf4939b03aaff99a","source":{"kind":"arxiv","id":"1404.3462","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3462","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3462v3","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3462","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"pith_short_12","alias_value":"JX6A427TYQQA","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JX6A427TYQQAVAUE","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JX6A427T","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JX6A427TYQQAVAUEAFDFDES6F2","target":"record","payload":{"canonical_record":{"source":{"id":"1404.3462","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-14T05:28:59Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"a3257e0a9a6e628d1e2b85e9b28d0514da7942b5ca8c44be77cb314e19ea4941","abstract_canon_sha256":"5e7ce8188a85fd8abab338ea98d3781f8117f57d3a735607538a98aea94c5680"},"schema_version":"1.0"},"canonical_sha256":"4dfc0e6bf3c4200a8284014651925e2e908fe604a60344d4cf4939b03aaff99a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:07.937374Z","signature_b64":"ceS18JnTIe4QXvUH3Sm+Pw/r6UoK91GiHc9h/YbJUdQwEDN+wLBJlkMwbtWtsFGkO7ddVo/Q0+nF1fp8Y/nJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dfc0e6bf3c4200a8284014651925e2e908fe604a60344d4cf4939b03aaff99a","last_reissued_at":"2026-05-18T02:42:07.936793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:07.936793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.3462","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C05Le9SmL1ERDZBrhIZyr6jnqguND5sO+V0B7IIgiTeAeIgORQ4rZlwjTXxP756WgVWk7U0AE7quUZMWwxLKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:37:17.023833Z"},"content_sha256":"f9be8a57024e44d220bf478f145226885a80ffc39195ebf6681e61c138aeb33e","schema_version":"1.0","event_id":"sha256:f9be8a57024e44d220bf478f145226885a80ffc39195ebf6681e61c138aeb33e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JX6A427TYQQAVAUEAFDFDES6F2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elementary amenable groups are quasidiagonal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.OA","authors_text":"Mikael Rordam, Narutaka Ozawa, Yasuhiko Sato","submitted_at":"2014-04-14T05:28:59Z","abstract_excerpt":"We show that the group C*-algebra of any elementary amenable group is quasidiagonal. This is an offspring of recent progress in the classification theory of nuclear C*-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3462","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5sCubAlfdOq13zkBfqzlTS63vgqITRusN8xFv5ohB2/ptom1BIXx07zN8Wncz95hBnzK9SZgDbibhLoGmpyuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:37:17.024176Z"},"content_sha256":"c2a1575364385b30db1abc5f88ee066663caac0281380e5c47f6c15a42583f37","schema_version":"1.0","event_id":"sha256:c2a1575364385b30db1abc5f88ee066663caac0281380e5c47f6c15a42583f37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JX6A427TYQQAVAUEAFDFDES6F2/bundle.json","state_url":"https://pith.science/pith/JX6A427TYQQAVAUEAFDFDES6F2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JX6A427TYQQAVAUEAFDFDES6F2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T08:37:17Z","links":{"resolver":"https://pith.science/pith/JX6A427TYQQAVAUEAFDFDES6F2","bundle":"https://pith.science/pith/JX6A427TYQQAVAUEAFDFDES6F2/bundle.json","state":"https://pith.science/pith/JX6A427TYQQAVAUEAFDFDES6F2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JX6A427TYQQAVAUEAFDFDES6F2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JX6A427TYQQAVAUEAFDFDES6F2","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":"5e7ce8188a85fd8abab338ea98d3781f8117f57d3a735607538a98aea94c5680","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-14T05:28:59Z","title_canon_sha256":"a3257e0a9a6e628d1e2b85e9b28d0514da7942b5ca8c44be77cb314e19ea4941"},"schema_version":"1.0","source":{"id":"1404.3462","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3462","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3462v3","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3462","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"pith_short_12","alias_value":"JX6A427TYQQA","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JX6A427TYQQAVAUE","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JX6A427T","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:c2a1575364385b30db1abc5f88ee066663caac0281380e5c47f6c15a42583f37","target":"graph","created_at":"2026-05-18T02:42:07Z","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 show that the group C*-algebra of any elementary amenable group is quasidiagonal. This is an offspring of recent progress in the classification theory of nuclear C*-algebras.","authors_text":"Mikael Rordam, Narutaka Ozawa, Yasuhiko Sato","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-14T05:28:59Z","title":"Elementary amenable groups are quasidiagonal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3462","kind":"arxiv","version":3},"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:f9be8a57024e44d220bf478f145226885a80ffc39195ebf6681e61c138aeb33e","target":"record","created_at":"2026-05-18T02:42:07Z","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":"5e7ce8188a85fd8abab338ea98d3781f8117f57d3a735607538a98aea94c5680","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-04-14T05:28:59Z","title_canon_sha256":"a3257e0a9a6e628d1e2b85e9b28d0514da7942b5ca8c44be77cb314e19ea4941"},"schema_version":"1.0","source":{"id":"1404.3462","kind":"arxiv","version":3}},"canonical_sha256":"4dfc0e6bf3c4200a8284014651925e2e908fe604a60344d4cf4939b03aaff99a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dfc0e6bf3c4200a8284014651925e2e908fe604a60344d4cf4939b03aaff99a","first_computed_at":"2026-05-18T02:42:07.936793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:07.936793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ceS18JnTIe4QXvUH3Sm+Pw/r6UoK91GiHc9h/YbJUdQwEDN+wLBJlkMwbtWtsFGkO7ddVo/Q0+nF1fp8Y/nJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:07.937374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3462","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9be8a57024e44d220bf478f145226885a80ffc39195ebf6681e61c138aeb33e","sha256:c2a1575364385b30db1abc5f88ee066663caac0281380e5c47f6c15a42583f37"],"state_sha256":"3a409f7c811829b1d06baedb7df5da62426b859051d70925ae1704af91032222"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3zqf7tZ0kATEBENB18cOrLNnpE7BIBpbUJ0bO9rU77hv/saAQYyL9c93qfJ+WXY7397+0k+XnMf3VnOm1VwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:37:17.026197Z","bundle_sha256":"222b45e7fce6c22377470ce2a499fccacbe6a3f647f7f5f491469cce46b077c1"}}