{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:SGTQ6PJ6A2VZHUY3RDVRFP3L3B","short_pith_number":"pith:SGTQ6PJ6","schema_version":"1.0","canonical_sha256":"91a70f3d3e06ab93d31b88eb12bf6bd84c82fae2dc8cc772cbb34f0d4676b6f2","source":{"kind":"arxiv","id":"1901.08847","version":2},"attestation_state":"computed","paper":{"title":"Characterizing multipartite entanglement classes via higher-dimensional embeddings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christina Ritz, Cornelia Spee, Otfried G\\\"uhne","submitted_at":"2019-01-25T12:02:39Z","abstract_excerpt":"Witness operators are a central tool to detect entanglement or to distinguish among the different entanglement classes of multiparticle systems, which can be defined using stochastic local operations and classical communication (SLOCC). We show a one-to-one correspondence between general SLOCC witnesses and a class of entanglement witnesses in an extended Hilbert space. This relation can be used to derive SLOCC witnesses from criteria for full separability of quantum states; moreover, given SLOCC witness can be viewed as entanglement witnesses. As applications of this relation we discuss the c"},"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":"1901.08847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-01-25T12:02:39Z","cross_cats_sorted":[],"title_canon_sha256":"6ea0085a3071753cc36a058b64ee31d3df579e83ffb12121a9588691dc5ca623","abstract_canon_sha256":"ac8e92faf5d86dc913d1c11d8d4b1eab4dcbaa6340601cdf565e23a4224456fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:39.901221Z","signature_b64":"EC7upylT7eYztLWYZBq11Q1WJDH6+vGEWa3LivNKC0fny1FNJrYb60a7oi1JNhBiwGyJu+PAmzpFKU4qzOoHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91a70f3d3e06ab93d31b88eb12bf6bd84c82fae2dc8cc772cbb34f0d4676b6f2","last_reissued_at":"2026-05-17T23:39:39.900601Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:39.900601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing multipartite entanglement classes via higher-dimensional embeddings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christina Ritz, Cornelia Spee, Otfried G\\\"uhne","submitted_at":"2019-01-25T12:02:39Z","abstract_excerpt":"Witness operators are a central tool to detect entanglement or to distinguish among the different entanglement classes of multiparticle systems, which can be defined using stochastic local operations and classical communication (SLOCC). We show a one-to-one correspondence between general SLOCC witnesses and a class of entanglement witnesses in an extended Hilbert space. This relation can be used to derive SLOCC witnesses from criteria for full separability of quantum states; moreover, given SLOCC witness can be viewed as entanglement witnesses. As applications of this relation we discuss the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08847","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":""},"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":"1901.08847","created_at":"2026-05-17T23:39:39.900681+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.08847v2","created_at":"2026-05-17T23:39:39.900681+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08847","created_at":"2026-05-17T23:39:39.900681+00:00"},{"alias_kind":"pith_short_12","alias_value":"SGTQ6PJ6A2VZ","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"SGTQ6PJ6A2VZHUY3","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"SGTQ6PJ6","created_at":"2026-05-18T12:33:27.125529+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B","json":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B.json","graph_json":"https://pith.science/api/pith-number/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/graph.json","events_json":"https://pith.science/api/pith-number/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/events.json","paper":"https://pith.science/paper/SGTQ6PJ6"},"agent_actions":{"view_html":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B","download_json":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B.json","view_paper":"https://pith.science/paper/SGTQ6PJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.08847&json=true","fetch_graph":"https://pith.science/api/pith-number/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/graph.json","fetch_events":"https://pith.science/api/pith-number/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/action/storage_attestation","attest_author":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/action/author_attestation","sign_citation":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/action/citation_signature","submit_replication":"https://pith.science/pith/SGTQ6PJ6A2VZHUY3RDVRFP3L3B/action/replication_record"}},"created_at":"2026-05-17T23:39:39.900681+00:00","updated_at":"2026-05-17T23:39:39.900681+00:00"}