{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:65V4NQGJNXZ2KNQXWWSGHGAMF7","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":"9b56a93a0d09b9cc3d75df0c89596bb3660e6456e7eb69f126e353fca2e24353","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-30T20:13:08Z","title_canon_sha256":"c6ee793a77a9b08482bad1891da48243761f6deedc449d582b8bfcec2924f46c"},"schema_version":"1.0","source":{"id":"1310.8311","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8311","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8311v2","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8311","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"65V4NQGJNXZ2","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"65V4NQGJNXZ2KNQX","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"65V4NQGJ","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:28aec3103cb384daacaf29d99f2a4d19be7b3ddccf885398103cc5772a6b9032","target":"graph","created_at":"2026-05-18T02:56:21Z","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":"The quantitative assessment of the entanglement in multipartite quantum states is, apart from its fundamental importance, a practical problem. Recently there has been significant progress in developing new methods to determine certain entanglement measures. In particular, there is a method---in principle, analytical---to compute a certified lower bound for the three-tangle. The purpose of this work is to provide a manual for the implementation of this approach and to explicitly discuss several analytically solvable cases in order to gauge the numerical tools. Moreover, we derive a simple analy","authors_text":"Christopher Eltschka, Jens Siewert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-30T20:13:08Z","title":"Practical method to obtain a lower bound to the three-tangle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8311","kind":"arxiv","version":2},"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":"sha256:08b6b0f28a65116423a6c3541f8db7bc161c531801d3828f00d122a7e789b7da","target":"record","created_at":"2026-05-18T02:56:21Z","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":"9b56a93a0d09b9cc3d75df0c89596bb3660e6456e7eb69f126e353fca2e24353","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-10-30T20:13:08Z","title_canon_sha256":"c6ee793a77a9b08482bad1891da48243761f6deedc449d582b8bfcec2924f46c"},"schema_version":"1.0","source":{"id":"1310.8311","kind":"arxiv","version":2}},"canonical_sha256":"f76bc6c0c96df3a53617b5a463980c2ff890bd85af22a08b6081b786f0391edc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f76bc6c0c96df3a53617b5a463980c2ff890bd85af22a08b6081b786f0391edc","first_computed_at":"2026-05-18T02:56:21.015232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:21.015232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U1O4Cc+VuBIRrdO/LXSdHcp9LLVPyyOs/NGDKcAtXgavvTNwdp3LKqjji06/LfEVaf/Go8g4IchI0SXuS7xZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:21.015939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8311","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08b6b0f28a65116423a6c3541f8db7bc161c531801d3828f00d122a7e789b7da","sha256:28aec3103cb384daacaf29d99f2a4d19be7b3ddccf885398103cc5772a6b9032"],"state_sha256":"89b45670132aa990b51079516140fb8363a58c8390e8788411e1f965c5e2c29b"}