{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:R2CWKH2LWCLTLAWBFKHJIWYO5J","short_pith_number":"pith:R2CWKH2L","canonical_record":{"source":{"id":"1102.4784","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-23T16:31:55Z","cross_cats_sorted":["math.GR","math.OA","math.RT"],"title_canon_sha256":"669365cefa8a1564b9bcf5c90ae31036a909171dfb56f1d5c7dc786023bab967","abstract_canon_sha256":"8fd44408c4c65eb758b45a949996ee442c4fee85980215b3921a40041fc022fb"},"schema_version":"1.0"},"canonical_sha256":"8e85651f4bb0973582c12a8e945b0eea6c8af2697de577ec1eb1c9521a007aac","source":{"kind":"arxiv","id":"1102.4784","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4784","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4784v3","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4784","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"R2CWKH2LWCLT","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2CWKH2LWCLTLAWB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2CWKH2L","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:R2CWKH2LWCLTLAWBFKHJIWYO5J","target":"record","payload":{"canonical_record":{"source":{"id":"1102.4784","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-23T16:31:55Z","cross_cats_sorted":["math.GR","math.OA","math.RT"],"title_canon_sha256":"669365cefa8a1564b9bcf5c90ae31036a909171dfb56f1d5c7dc786023bab967","abstract_canon_sha256":"8fd44408c4c65eb758b45a949996ee442c4fee85980215b3921a40041fc022fb"},"schema_version":"1.0"},"canonical_sha256":"8e85651f4bb0973582c12a8e945b0eea6c8af2697de577ec1eb1c9521a007aac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:32.528904Z","signature_b64":"6O+7W7yB7OSzpFpvFbVDihNIcB9zTNpPs8tCAuhH9b26ReWHZumTdQnv+IMjLjTg1l+dICQVlVQp87GCwd4FCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e85651f4bb0973582c12a8e945b0eea6c8af2697de577ec1eb1c9521a007aac","last_reissued_at":"2026-05-18T04:26:32.528222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:32.528222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.4784","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":"2026-05-18T04:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1TjduO3rTeGsf+QWYjV252zQwyob/u8BAef677i6ptFI6QWvxkUo9ZeTW/VRylfqZkRtJFLiSrOBqEENxbuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:17:57.290822Z"},"content_sha256":"038bee53a8e3a70cb92ab65d6a249fad8fc4a30577a706fe514a17680672be9b","schema_version":"1.0","event_id":"sha256:038bee53a8e3a70cb92ab65d6a249fad8fc4a30577a706fe514a17680672be9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:R2CWKH2LWCLTLAWBFKHJIWYO5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The conjugacy relation on unitary representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.OA","math.RT"],"primary_cat":"math.LO","authors_text":"Asger Tornquist, Greg Hjorth","submitted_at":"2011-02-23T16:31:55Z","abstract_excerpt":"We show that the unitary conjugacy relation for unitary representations of a second countable locally compact group on a separable Hilbert space is a Borel equivalence relation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4784","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":"2026-05-18T04:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/lTYn8xOVAGWqg0USh5NBsDpjogxkz4QlkYx6siBRhio2SFNHfKF4Vz3PuCuO99N3GSFGJeWyUwEle8DrffkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:17:57.291167Z"},"content_sha256":"131258ab7217861339f5296bb368fac8bb45cd9c56f8a1d327574e18c78d2f75","schema_version":"1.0","event_id":"sha256:131258ab7217861339f5296bb368fac8bb45cd9c56f8a1d327574e18c78d2f75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J/bundle.json","state_url":"https://pith.science/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J/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":"2026-06-24T04:17:57Z","links":{"resolver":"https://pith.science/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J","bundle":"https://pith.science/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J/bundle.json","state":"https://pith.science/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2CWKH2LWCLTLAWBFKHJIWYO5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R2CWKH2LWCLTLAWBFKHJIWYO5J","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":"8fd44408c4c65eb758b45a949996ee442c4fee85980215b3921a40041fc022fb","cross_cats_sorted":["math.GR","math.OA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-23T16:31:55Z","title_canon_sha256":"669365cefa8a1564b9bcf5c90ae31036a909171dfb56f1d5c7dc786023bab967"},"schema_version":"1.0","source":{"id":"1102.4784","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4784","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4784v3","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4784","created_at":"2026-05-18T04:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"R2CWKH2LWCLT","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2CWKH2LWCLTLAWB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2CWKH2L","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:131258ab7217861339f5296bb368fac8bb45cd9c56f8a1d327574e18c78d2f75","target":"graph","created_at":"2026-05-18T04:26:32Z","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 unitary conjugacy relation for unitary representations of a second countable locally compact group on a separable Hilbert space is a Borel equivalence relation.","authors_text":"Asger Tornquist, Greg Hjorth","cross_cats":["math.GR","math.OA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-23T16:31:55Z","title":"The conjugacy relation on unitary representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4784","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":"sha256:038bee53a8e3a70cb92ab65d6a249fad8fc4a30577a706fe514a17680672be9b","target":"record","created_at":"2026-05-18T04:26:32Z","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":"8fd44408c4c65eb758b45a949996ee442c4fee85980215b3921a40041fc022fb","cross_cats_sorted":["math.GR","math.OA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-02-23T16:31:55Z","title_canon_sha256":"669365cefa8a1564b9bcf5c90ae31036a909171dfb56f1d5c7dc786023bab967"},"schema_version":"1.0","source":{"id":"1102.4784","kind":"arxiv","version":3}},"canonical_sha256":"8e85651f4bb0973582c12a8e945b0eea6c8af2697de577ec1eb1c9521a007aac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e85651f4bb0973582c12a8e945b0eea6c8af2697de577ec1eb1c9521a007aac","first_computed_at":"2026-05-18T04:26:32.528222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:32.528222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6O+7W7yB7OSzpFpvFbVDihNIcB9zTNpPs8tCAuhH9b26ReWHZumTdQnv+IMjLjTg1l+dICQVlVQp87GCwd4FCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:32.528904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4784","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:038bee53a8e3a70cb92ab65d6a249fad8fc4a30577a706fe514a17680672be9b","sha256:131258ab7217861339f5296bb368fac8bb45cd9c56f8a1d327574e18c78d2f75"],"state_sha256":"daddc3ae43671484d346c9128c18396ffc3f0b32931df89d9633d149d842dceb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oHIu+tWNeNHSohyckpu6ZLN+j3D2nmeUlR5xvkQm36thkdhU7R0DiWX8Lh/NO+WzVtK5wrIRd2ms+TZb3ic2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:17:57.293137Z","bundle_sha256":"3a626e8ba322687d23dbdaad31c23ba3f23933d78118fd7fbea3fc16ec68a486"}}