{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NANC5YMA4FK56E7JCEWBIM4YL2","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":"5d3a425de3311474fa671af153826940c88e20dec4475d6fa8a227071f70241d","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-18T09:31:15Z","title_canon_sha256":"c3bb4129a0cee037017b27f98128968281525facca7709f8cc77b5bfa490f789"},"schema_version":"1.0","source":{"id":"1203.3933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3933","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3933v1","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3933","created_at":"2026-05-18T03:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"NANC5YMA4FK5","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NANC5YMA4FK56E7J","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NANC5YMA","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:acaf1aedaf1a1cb291ffe8065381e4bb380eca44f38d99fe3d254931a2ce85cb","target":"graph","created_at":"2026-05-18T03:59:48Z","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":"Concurrence is an important entanglement measure for states in finite-dimensional quantum systems that was explored intensively in the last decade. In this paper, we extend the concept of concurrence to infinite-dimensional bipartite systems and show that it is continuous and does not increase under local operation and classical communication (LOCC). Moreover, based on the partial Hermitian conjugate (PHC) criterion proposed in [Chin. Phys. Lett. \\textbf{26}, 060305(2009); Chin. Sci. Bull. \\textbf{56}(9), 840--846(2011)], we introduce a concept of the PHC measure and show that it coincides wit","authors_text":"Jinchuan Hou, Yu Guo, Yuncai Wang","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-18T09:31:15Z","title":"Concurrence for infinite-dimensional quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3933","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":"sha256:8ad9ee80e3025bdd77d78cbd6f9953b4e57f27693bf0b9fb1d76ebffff0bf3ee","target":"record","created_at":"2026-05-18T03:59:48Z","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":"5d3a425de3311474fa671af153826940c88e20dec4475d6fa8a227071f70241d","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-18T09:31:15Z","title_canon_sha256":"c3bb4129a0cee037017b27f98128968281525facca7709f8cc77b5bfa490f789"},"schema_version":"1.0","source":{"id":"1203.3933","kind":"arxiv","version":1}},"canonical_sha256":"681a2ee180e155df13e9112c1433985e95ca255a817e453acd537de7bbee583a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"681a2ee180e155df13e9112c1433985e95ca255a817e453acd537de7bbee583a","first_computed_at":"2026-05-18T03:59:48.606339Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:48.606339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"676wwKsa/wArOJJWl6XOzZhMrgUOJLhF9uEXeQzwDdCUx5MRguV5hiBwxC+m7dJ8c6ptVxNDb8GzmAvXEHsXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:48.606956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ad9ee80e3025bdd77d78cbd6f9953b4e57f27693bf0b9fb1d76ebffff0bf3ee","sha256:acaf1aedaf1a1cb291ffe8065381e4bb380eca44f38d99fe3d254931a2ce85cb"],"state_sha256":"05f775871fd1747dd4da4f08d9ab9a0b17098182c89885b139f89f2fd0de0bf4"}