{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GWV3VQ5JTWRU7GZTOQYAFSO7ZN","short_pith_number":"pith:GWV3VQ5J","schema_version":"1.0","canonical_sha256":"35abbac3a99da34f9b33743002c9dfcb7ab90dc69adc1f962664770e066199f9","source":{"kind":"arxiv","id":"2506.03879","version":1},"attestation_state":"computed","paper":{"title":"Exploring entanglement, Wigner negativity and Bell nonlocality for anisotropic two-qutrit states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-chun Yuan, Huan Liu, Xue-feng Zhan, Xue-xiang Xu, Zu-wu Chen","submitted_at":"2025-06-04T12:15:52Z","abstract_excerpt":"We introduce a family of anisotropic two-qutrit states (AITTSs). These AITTSs are expressed as $\\rho _{aiso}=p\\left\\vert \\psi _{\\left( \\theta,\\phi \\right) }\\right\\rangle \\left\\langle \\psi _{\\left( \\theta ,\\phi \\right)}\\right\\vert +(1-p)\\frac{1_{9}}{9}$ with $\\left\\vert \\psi _{\\left( \\theta,\\phi \\right) }\\right\\rangle =\\sin \\theta \\cos \\phi \\left\\vert00\\right\\rangle +\\sin \\theta \\sin \\phi \\left\\vert 11\\right\\rangle +\\cos\\theta \\left\\vert 22\\right\\rangle $ and $1_{9}=\\sum_{j,k=0}^{2}\\left\\vert jk\\right\\rangle \\left\\langle jk\\right\\vert $. For a given $p\\in \\lbrack 0,1]$, these states are adjusta"},"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":"2506.03879","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-04T12:15:52Z","cross_cats_sorted":[],"title_canon_sha256":"6d76ce90a76676df9b88d565759b58ad71dc84adfc575ab3863712cb5ccd2150","abstract_canon_sha256":"9c2a36773633f9a5b986a9ac0c4ca5936dfed42b12495c15aac2a4d9dd0f8b03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:53.350676Z","signature_b64":"tQDYte/07c+phEx4xunnSxlJioMnqUUMuCEmZsCzXXSKnujF+18DkmM8pNowI1w1gLHsAwKDrYFas8i4fs9VAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35abbac3a99da34f9b33743002c9dfcb7ab90dc69adc1f962664770e066199f9","last_reissued_at":"2026-07-05T11:15:53.350179Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:53.350179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exploring entanglement, Wigner negativity and Bell nonlocality for anisotropic two-qutrit states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-chun Yuan, Huan Liu, Xue-feng Zhan, Xue-xiang Xu, Zu-wu Chen","submitted_at":"2025-06-04T12:15:52Z","abstract_excerpt":"We introduce a family of anisotropic two-qutrit states (AITTSs). These AITTSs are expressed as $\\rho _{aiso}=p\\left\\vert \\psi _{\\left( \\theta,\\phi \\right) }\\right\\rangle \\left\\langle \\psi _{\\left( \\theta ,\\phi \\right)}\\right\\vert +(1-p)\\frac{1_{9}}{9}$ with $\\left\\vert \\psi _{\\left( \\theta,\\phi \\right) }\\right\\rangle =\\sin \\theta \\cos \\phi \\left\\vert00\\right\\rangle +\\sin \\theta \\sin \\phi \\left\\vert 11\\right\\rangle +\\cos\\theta \\left\\vert 22\\right\\rangle $ and $1_{9}=\\sum_{j,k=0}^{2}\\left\\vert jk\\right\\rangle \\left\\langle jk\\right\\vert $. For a given $p\\in \\lbrack 0,1]$, these states are adjusta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03879","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.03879/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":"2506.03879","created_at":"2026-07-05T11:15:53.350235+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.03879v1","created_at":"2026-07-05T11:15:53.350235+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03879","created_at":"2026-07-05T11:15:53.350235+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWV3VQ5JTWRU","created_at":"2026-07-05T11:15:53.350235+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWV3VQ5JTWRU7GZT","created_at":"2026-07-05T11:15:53.350235+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWV3VQ5J","created_at":"2026-07-05T11:15:53.350235+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/GWV3VQ5JTWRU7GZTOQYAFSO7ZN","json":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN.json","graph_json":"https://pith.science/api/pith-number/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/graph.json","events_json":"https://pith.science/api/pith-number/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/events.json","paper":"https://pith.science/paper/GWV3VQ5J"},"agent_actions":{"view_html":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN","download_json":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN.json","view_paper":"https://pith.science/paper/GWV3VQ5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.03879&json=true","fetch_graph":"https://pith.science/api/pith-number/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/graph.json","fetch_events":"https://pith.science/api/pith-number/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/action/storage_attestation","attest_author":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/action/author_attestation","sign_citation":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/action/citation_signature","submit_replication":"https://pith.science/pith/GWV3VQ5JTWRU7GZTOQYAFSO7ZN/action/replication_record"}},"created_at":"2026-07-05T11:15:53.350235+00:00","updated_at":"2026-07-05T11:15:53.350235+00:00"}