{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:I47CP7OJKO3THUAAFSV735ZSLV","short_pith_number":"pith:I47CP7OJ","canonical_record":{"source":{"id":"1204.5868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T09:44:33Z","cross_cats_sorted":[],"title_canon_sha256":"369b6c3eb9eb9c02ad25165af89807e0d65f9995e9362768340c0cf7ab5fbbb8","abstract_canon_sha256":"0d8e8a3f3ef2d5deff85584194fc40d615cfceeb58d94ffab260595e5a1f57d4"},"schema_version":"1.0"},"canonical_sha256":"473e27fdc953b733d0002cabfdf7325d44df8d5d8bfa3b828b1c5939332b3c68","source":{"kind":"arxiv","id":"1204.5868","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5868","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5868v1","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5868","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"I47CP7OJKO3T","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I47CP7OJKO3THUAA","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I47CP7OJ","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:I47CP7OJKO3THUAAFSV735ZSLV","target":"record","payload":{"canonical_record":{"source":{"id":"1204.5868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T09:44:33Z","cross_cats_sorted":[],"title_canon_sha256":"369b6c3eb9eb9c02ad25165af89807e0d65f9995e9362768340c0cf7ab5fbbb8","abstract_canon_sha256":"0d8e8a3f3ef2d5deff85584194fc40d615cfceeb58d94ffab260595e5a1f57d4"},"schema_version":"1.0"},"canonical_sha256":"473e27fdc953b733d0002cabfdf7325d44df8d5d8bfa3b828b1c5939332b3c68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:43.852864Z","signature_b64":"+ihKjWyMPNVWKTfEWIbjtcvQ7bG8kXHpdOcXaNKTclNrE7+VNEcJ2hHRbtHTujEtVI2iQBh9nzPkuxpeggt0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"473e27fdc953b733d0002cabfdf7325d44df8d5d8bfa3b828b1c5939332b3c68","last_reissued_at":"2026-05-18T03:38:43.852267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:43.852267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.5868","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pwxGoS8mz8uXJ1zNQxowMoajdFF4vVSmQfCJEcrsRrdegiRSd8ca/m0rUtsqQPS6oeTzKTsdDteQ8G9Askz2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:53:59.560159Z"},"content_sha256":"c72380d8b3c6d1bb818cfd3cccd7a79cb640e349bda8d9da37ec679466cbf182","schema_version":"1.0","event_id":"sha256:c72380d8b3c6d1bb818cfd3cccd7a79cb640e349bda8d9da37ec679466cbf182"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:I47CP7OJKO3THUAAFSV735ZSLV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global Quantum discord of multi-qubit states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jianwei Xu","submitted_at":"2012-04-26T09:44:33Z","abstract_excerpt":"Global quantum discord (GQD), proposed by Rulli and Sarandy [Phys. Rev. A \\textbf{84}, 042109 (2011)], is a generalization of quantum discord to multipartite states. In this paper, we provide an equivalent expression for GQD, and obtain the analytical expressions of GQD for two classes of multi-qubit states. The phenomena of sudden transition and freeze of GQD are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5868","kind":"arxiv","version":1},"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":"2026-05-18T03:38:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p7qsGkQbVMvF4pbQNSoCWx0n+1oCU8bP+KlgEz2hlRjQAEiKievQCScj/Hy1zfZVYMjnAZo7ZcCsp+DgvXVPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:53:59.560893Z"},"content_sha256":"29562fcac53e34f7c5471bcbf3743e43b5fee76505e1f4539898bd5b3bf8feea","schema_version":"1.0","event_id":"sha256:29562fcac53e34f7c5471bcbf3743e43b5fee76505e1f4539898bd5b3bf8feea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I47CP7OJKO3THUAAFSV735ZSLV/bundle.json","state_url":"https://pith.science/pith/I47CP7OJKO3THUAAFSV735ZSLV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I47CP7OJKO3THUAAFSV735ZSLV/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":"2026-05-31T23:53:59Z","links":{"resolver":"https://pith.science/pith/I47CP7OJKO3THUAAFSV735ZSLV","bundle":"https://pith.science/pith/I47CP7OJKO3THUAAFSV735ZSLV/bundle.json","state":"https://pith.science/pith/I47CP7OJKO3THUAAFSV735ZSLV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I47CP7OJKO3THUAAFSV735ZSLV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:I47CP7OJKO3THUAAFSV735ZSLV","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":"0d8e8a3f3ef2d5deff85584194fc40d615cfceeb58d94ffab260595e5a1f57d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T09:44:33Z","title_canon_sha256":"369b6c3eb9eb9c02ad25165af89807e0d65f9995e9362768340c0cf7ab5fbbb8"},"schema_version":"1.0","source":{"id":"1204.5868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5868","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5868v1","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5868","created_at":"2026-05-18T03:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"I47CP7OJKO3T","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I47CP7OJKO3THUAA","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I47CP7OJ","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:29562fcac53e34f7c5471bcbf3743e43b5fee76505e1f4539898bd5b3bf8feea","target":"graph","created_at":"2026-05-18T03:38:43Z","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":"Global quantum discord (GQD), proposed by Rulli and Sarandy [Phys. Rev. A \\textbf{84}, 042109 (2011)], is a generalization of quantum discord to multipartite states. In this paper, we provide an equivalent expression for GQD, and obtain the analytical expressions of GQD for two classes of multi-qubit states. The phenomena of sudden transition and freeze of GQD are also discussed.","authors_text":"Jianwei Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T09:44:33Z","title":"Global Quantum discord of multi-qubit states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5868","kind":"arxiv","version":1},"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:c72380d8b3c6d1bb818cfd3cccd7a79cb640e349bda8d9da37ec679466cbf182","target":"record","created_at":"2026-05-18T03:38:43Z","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":"0d8e8a3f3ef2d5deff85584194fc40d615cfceeb58d94ffab260595e5a1f57d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T09:44:33Z","title_canon_sha256":"369b6c3eb9eb9c02ad25165af89807e0d65f9995e9362768340c0cf7ab5fbbb8"},"schema_version":"1.0","source":{"id":"1204.5868","kind":"arxiv","version":1}},"canonical_sha256":"473e27fdc953b733d0002cabfdf7325d44df8d5d8bfa3b828b1c5939332b3c68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"473e27fdc953b733d0002cabfdf7325d44df8d5d8bfa3b828b1c5939332b3c68","first_computed_at":"2026-05-18T03:38:43.852267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:43.852267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+ihKjWyMPNVWKTfEWIbjtcvQ7bG8kXHpdOcXaNKTclNrE7+VNEcJ2hHRbtHTujEtVI2iQBh9nzPkuxpeggt0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:43.852864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c72380d8b3c6d1bb818cfd3cccd7a79cb640e349bda8d9da37ec679466cbf182","sha256:29562fcac53e34f7c5471bcbf3743e43b5fee76505e1f4539898bd5b3bf8feea"],"state_sha256":"f25ba06557bb89dc4afb80fb86246f2f8d0e83a94ce76c47876e35d1a5acf3b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bmfZv83o4L0bOZVVHZLTfBRw4UvUs7Yt9alFBne6mYKHpg48DISYvQ76HGK8LSWKP9tBiOH7JPRgzl0SmmVpCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:53:59.564759Z","bundle_sha256":"9099a6beadf85a51463943058e76625f1fa1b218b9866f61799f49cd217a0007"}}