{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MYSIUN6UORSA3JHTDYXWWM646D","short_pith_number":"pith:MYSIUN6U","schema_version":"1.0","canonical_sha256":"66248a37d474640da4f31e2f6b33dcf0c67473fc0f022b9ab5e5fd9fab109b98","source":{"kind":"arxiv","id":"1606.07635","version":1},"attestation_state":"computed","paper":{"title":"Partial transpose criteria for symmetric states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel Braun, Fabian Bohnet-Waldraff, Olivier Giraud","submitted_at":"2016-06-24T10:53:55Z","abstract_excerpt":"We express the positive partial transpose (PPT) separability criterion for symmetric states of multi-qubit systems in terms of matrix inequalities based on the recently introduced tensor representation for spin states. We construct a matrix from the tensor representation of the state and show that it is similar to the partial transpose of the density matrix written in the computational basis. Furthermore, the positivity of this matrix is equivalent to the positivity of a correlation matrix constructed from tensor products of Pauli operators. This allows for a more transparent experimental inte"},"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":"1606.07635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-24T10:53:55Z","cross_cats_sorted":[],"title_canon_sha256":"d7e6f8c4689d55ee4c67e9c8ca01cc03868386ae1f8fd1a12ee60a6c82845b76","abstract_canon_sha256":"2d9e7898269004a3b4f375368df74fa04ba78d90c0d5083945aa4e716755d273"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:58.089130Z","signature_b64":"AHVGPlis0HttDPp2ucbv88n6+uQ72g4Vjr64ztJ0Yk7/UJF5puKMtTqeDpsrx/3rit0oJnbWrhp6/a4+RJIKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66248a37d474640da4f31e2f6b33dcf0c67473fc0f022b9ab5e5fd9fab109b98","last_reissued_at":"2026-05-18T00:59:58.088491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:58.088491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partial transpose criteria for symmetric states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel Braun, Fabian Bohnet-Waldraff, Olivier Giraud","submitted_at":"2016-06-24T10:53:55Z","abstract_excerpt":"We express the positive partial transpose (PPT) separability criterion for symmetric states of multi-qubit systems in terms of matrix inequalities based on the recently introduced tensor representation for spin states. We construct a matrix from the tensor representation of the state and show that it is similar to the partial transpose of the density matrix written in the computational basis. Furthermore, the positivity of this matrix is equivalent to the positivity of a correlation matrix constructed from tensor products of Pauli operators. This allows for a more transparent experimental inte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07635","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.07635","created_at":"2026-05-18T00:59:58.088585+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.07635v1","created_at":"2026-05-18T00:59:58.088585+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07635","created_at":"2026-05-18T00:59:58.088585+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYSIUN6UORSA","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYSIUN6UORSA3JHT","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYSIUN6U","created_at":"2026-05-18T12:30:32.724797+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/MYSIUN6UORSA3JHTDYXWWM646D","json":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D.json","graph_json":"https://pith.science/api/pith-number/MYSIUN6UORSA3JHTDYXWWM646D/graph.json","events_json":"https://pith.science/api/pith-number/MYSIUN6UORSA3JHTDYXWWM646D/events.json","paper":"https://pith.science/paper/MYSIUN6U"},"agent_actions":{"view_html":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D","download_json":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D.json","view_paper":"https://pith.science/paper/MYSIUN6U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.07635&json=true","fetch_graph":"https://pith.science/api/pith-number/MYSIUN6UORSA3JHTDYXWWM646D/graph.json","fetch_events":"https://pith.science/api/pith-number/MYSIUN6UORSA3JHTDYXWWM646D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D/action/storage_attestation","attest_author":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D/action/author_attestation","sign_citation":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D/action/citation_signature","submit_replication":"https://pith.science/pith/MYSIUN6UORSA3JHTDYXWWM646D/action/replication_record"}},"created_at":"2026-05-18T00:59:58.088585+00:00","updated_at":"2026-05-18T00:59:58.088585+00:00"}