{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:3E67PA7FQDBGK6LZNWOBJM7VPR","short_pith_number":"pith:3E67PA7F","schema_version":"1.0","canonical_sha256":"d93df783e580c26579796d9c14b3f57c78511e11fb7204f4c4a796cf45146059","source":{"kind":"arxiv","id":"quant-ph/0005115","version":2},"attestation_state":"computed","paper":{"title":"Three qubits can be entangled in two inequivalent ways","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G. Vidal, J. I. Cirac, W. D\\\"ur","submitted_at":"2000-05-26T15:06:06Z","abstract_excerpt":"Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say that two states have the same kind of entanglement if both of them can be obtained from the other by means of local operations and classical communcication (LOCC) with nonzero probability. When applied to pure states of a three-qubit system, this approach reveals the existence of two inequivalent kinds of genuine tripartite entanglement, for which the GHZ state"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"quant-ph/0005115","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2000-05-26T15:06:06Z","cross_cats_sorted":[],"title_canon_sha256":"d259a4762129b52b7155a9bbc1b38aecfc30a7af0f0b1e4752e79f102ca97585","abstract_canon_sha256":"88e441a0746c713c08c58ade2e00ecad4684166ce92708644a17796735011929"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:22:21.708624Z","signature_b64":"tGsVfEs9Q/ePQWYtQBvEAqYStmd/1SzgVrEZ9n/sEYZ8uWD7+N8KSnLXhJ9c2oqoBFGsVdYWL0WKeq4+R54zCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d93df783e580c26579796d9c14b3f57c78511e11fb7204f4c4a796cf45146059","last_reissued_at":"2026-07-04T16:22:21.708047Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:22:21.708047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three qubits can be entangled in two inequivalent ways","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"G. Vidal, J. I. Cirac, W. D\\\"ur","submitted_at":"2000-05-26T15:06:06Z","abstract_excerpt":"Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say that two states have the same kind of entanglement if both of them can be obtained from the other by means of local operations and classical communcication (LOCC) with nonzero probability. When applied to pure states of a three-qubit system, this approach reveals the existence of two inequivalent kinds of genuine tripartite entanglement, for which the GHZ state"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0005115","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0005115/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0005115","created_at":"2026-07-04T16:22:21.708121+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0005115v2","created_at":"2026-07-04T16:22:21.708121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0005115","created_at":"2026-07-04T16:22:21.708121+00:00"},{"alias_kind":"pith_short_12","alias_value":"3E67PA7FQDBG","created_at":"2026-07-04T16:22:21.708121+00:00"},{"alias_kind":"pith_short_16","alias_value":"3E67PA7FQDBGK6LZ","created_at":"2026-07-04T16:22:21.708121+00:00"},{"alias_kind":"pith_short_8","alias_value":"3E67PA7F","created_at":"2026-07-04T16:22:21.708121+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":6,"sample":[{"citing_arxiv_id":"2606.12526","citing_title":"Multi-entropy in heavy local quenches","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2606.00210","citing_title":"Constraints on four-party entanglement in holography","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2606.00210","citing_title":"Constraints on four-party entanglement in holography","ref_index":31,"is_internal_anchor":true},{"citing_arxiv_id":"2306.01043","citing_title":"Clifford Orbits from Cayley Graph Quotients","ref_index":16,"is_internal_anchor":true},{"citing_arxiv_id":"2603.15621","citing_title":"Exclusive Scattering Channels from Entanglement Structure in Real-Time Simulations","ref_index":89,"is_internal_anchor":true},{"citing_arxiv_id":"2509.07279","citing_title":"Recursive algorithm for constructing antisymmetric fermionic states in first quantization mapping","ref_index":50,"is_internal_anchor":true},{"citing_arxiv_id":"2605.02097","citing_title":"Separability from Multipartite Measures","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02097","citing_title":"Separability from Multipartite Measures","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR","json":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR.json","graph_json":"https://pith.science/api/pith-number/3E67PA7FQDBGK6LZNWOBJM7VPR/graph.json","events_json":"https://pith.science/api/pith-number/3E67PA7FQDBGK6LZNWOBJM7VPR/events.json","paper":"https://pith.science/paper/3E67PA7F"},"agent_actions":{"view_html":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR","download_json":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR.json","view_paper":"https://pith.science/paper/3E67PA7F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0005115&json=true","fetch_graph":"https://pith.science/api/pith-number/3E67PA7FQDBGK6LZNWOBJM7VPR/graph.json","fetch_events":"https://pith.science/api/pith-number/3E67PA7FQDBGK6LZNWOBJM7VPR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR/action/storage_attestation","attest_author":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR/action/author_attestation","sign_citation":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR/action/citation_signature","submit_replication":"https://pith.science/pith/3E67PA7FQDBGK6LZNWOBJM7VPR/action/replication_record"}},"created_at":"2026-07-04T16:22:21.708121+00:00","updated_at":"2026-07-04T16:22:21.708121+00:00"}