{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6M3XOLJ7FH36MIY4CSS44XU5F6","short_pith_number":"pith:6M3XOLJ7","canonical_record":{"source":{"id":"1208.1745","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-08T19:28:34Z","cross_cats_sorted":[],"title_canon_sha256":"39aeade6362e60eb8c4c6dc431559441eba5ac184aa983064e4cfb6c7c74ba37","abstract_canon_sha256":"5f1947beb9a1f300d2ce4ed4dd2194b3b9f8cab7b3124fb93ce83e637955d0f7"},"schema_version":"1.0"},"canonical_sha256":"f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a","source":{"kind":"arxiv","id":"1208.1745","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1745","created_at":"2026-05-18T03:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1745v1","created_at":"2026-05-18T03:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1745","created_at":"2026-05-18T03:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"6M3XOLJ7FH36","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6M3XOLJ7FH36MIY4","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6M3XOLJ7","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6M3XOLJ7FH36MIY4CSS44XU5F6","target":"record","payload":{"canonical_record":{"source":{"id":"1208.1745","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-08T19:28:34Z","cross_cats_sorted":[],"title_canon_sha256":"39aeade6362e60eb8c4c6dc431559441eba5ac184aa983064e4cfb6c7c74ba37","abstract_canon_sha256":"5f1947beb9a1f300d2ce4ed4dd2194b3b9f8cab7b3124fb93ce83e637955d0f7"},"schema_version":"1.0"},"canonical_sha256":"f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:10.786167Z","signature_b64":"n98sZGpIOuNzf4/8BtSvgNAsUkxeeDdlR83NJzVE9RL0xo8P2NhW2aqtRjPaQeY/WtUmj3bAEYyMZLF1n9xmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a","last_reissued_at":"2026-05-18T03:49:10.785677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:10.785677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.1745","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":"2026-05-18T03:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11n1u9f8DtBPn7HYxte3nujSVXSF7hfmMmVC2j7hBa624+YG6F6KLFPijTkbBIk4gLt1Oocni2we/47WreYJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:45:43.508989Z"},"content_sha256":"a723d497ed773241066c313c4a177de0d8ab1c99a22b6a79fccf2e844b188c4d","schema_version":"1.0","event_id":"sha256:a723d497ed773241066c313c4a177de0d8ab1c99a22b6a79fccf2e844b188c4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6M3XOLJ7FH36MIY4CSS44XU5F6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming-Jing Zhao, Shao-Ming Fei, Xue-Na Zhu","submitted_at":"2012-08-08T19:28:34Z","abstract_excerpt":"We study the entanglement of tripartite quantum states and provide analytical lower bound of concurrence in terms of the concurrence of sub-states. The lower bound may improve all the existing lower bounds of concurrence. The approach is generalized to arbitrary dimensional multipartite systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1745","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":"2026-05-18T03:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ontKqlCJ/+sxCcOVWn0oOb7WW6H5y8yHr/EIKpLeVri/1+3t5Vq9R9h34HXGoNXEXl5SEve51tzCg0CSsy6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:45:43.509347Z"},"content_sha256":"2e58069e3b3f293c2ba41a14a0967ea2601332c27cabcd507c0e708dd9d42699","schema_version":"1.0","event_id":"sha256:2e58069e3b3f293c2ba41a14a0967ea2601332c27cabcd507c0e708dd9d42699"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6M3XOLJ7FH36MIY4CSS44XU5F6/bundle.json","state_url":"https://pith.science/pith/6M3XOLJ7FH36MIY4CSS44XU5F6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6M3XOLJ7FH36MIY4CSS44XU5F6/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":"2026-06-10T21:45:43Z","links":{"resolver":"https://pith.science/pith/6M3XOLJ7FH36MIY4CSS44XU5F6","bundle":"https://pith.science/pith/6M3XOLJ7FH36MIY4CSS44XU5F6/bundle.json","state":"https://pith.science/pith/6M3XOLJ7FH36MIY4CSS44XU5F6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6M3XOLJ7FH36MIY4CSS44XU5F6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6M3XOLJ7FH36MIY4CSS44XU5F6","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":"5f1947beb9a1f300d2ce4ed4dd2194b3b9f8cab7b3124fb93ce83e637955d0f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-08T19:28:34Z","title_canon_sha256":"39aeade6362e60eb8c4c6dc431559441eba5ac184aa983064e4cfb6c7c74ba37"},"schema_version":"1.0","source":{"id":"1208.1745","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1745","created_at":"2026-05-18T03:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1745v1","created_at":"2026-05-18T03:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1745","created_at":"2026-05-18T03:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"6M3XOLJ7FH36","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6M3XOLJ7FH36MIY4","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6M3XOLJ7","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:2e58069e3b3f293c2ba41a14a0967ea2601332c27cabcd507c0e708dd9d42699","target":"graph","created_at":"2026-05-18T03:49:10Z","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 study the entanglement of tripartite quantum states and provide analytical lower bound of concurrence in terms of the concurrence of sub-states. The lower bound may improve all the existing lower bounds of concurrence. The approach is generalized to arbitrary dimensional multipartite systems.","authors_text":"Ming-Jing Zhao, Shao-Ming Fei, Xue-Na Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-08T19:28:34Z","title":"Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1745","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:a723d497ed773241066c313c4a177de0d8ab1c99a22b6a79fccf2e844b188c4d","target":"record","created_at":"2026-05-18T03:49:10Z","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":"5f1947beb9a1f300d2ce4ed4dd2194b3b9f8cab7b3124fb93ce83e637955d0f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-08T19:28:34Z","title_canon_sha256":"39aeade6362e60eb8c4c6dc431559441eba5ac184aa983064e4cfb6c7c74ba37"},"schema_version":"1.0","source":{"id":"1208.1745","kind":"arxiv","version":1}},"canonical_sha256":"f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f337772d3f29f7e6231c14a5ce5e9d2f876db044cbd99d49c53b12f9c585a32a","first_computed_at":"2026-05-18T03:49:10.785677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:10.785677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n98sZGpIOuNzf4/8BtSvgNAsUkxeeDdlR83NJzVE9RL0xo8P2NhW2aqtRjPaQeY/WtUmj3bAEYyMZLF1n9xmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:10.786167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1745","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a723d497ed773241066c313c4a177de0d8ab1c99a22b6a79fccf2e844b188c4d","sha256:2e58069e3b3f293c2ba41a14a0967ea2601332c27cabcd507c0e708dd9d42699"],"state_sha256":"b038fb370611ce5272b82c8750bc0870370147d58bdf716dcc72b647e34aa204"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VO59mFu81QerRv6ZmkhucrmpYNknfoIcsPZO/xsod+Ro/YSLaxY6voKK5EEq/9jYoGuAnRkqfNPVf9Y/yiEEDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:45:43.511255Z","bundle_sha256":"2b95789bf2544590e329d0b05b515411d5feaa5d19bcf9e5c719a7378e027c85"}}