{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3YUBXFQE7UM6I7HSRV4FXUWTNI","short_pith_number":"pith:3YUBXFQE","schema_version":"1.0","canonical_sha256":"de281b9604fd19e47cf28d785bd2d36a2706f6da74d97f29d6aa1e7febdc951b","source":{"kind":"arxiv","id":"1809.09040","version":1},"attestation_state":"computed","paper":{"title":"Extensions of Generalized Two-Qubit Separability Probability Analyses to Higher Dimensions, Additional Measures and New Methodologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"quant-ph","authors_text":"Paul B. Slater","submitted_at":"2018-09-24T16:38:31Z","abstract_excerpt":"We first seek the rebit-retrit counterpart to the (formally proven by Lovas and Andai) two-rebit Hilbert-Schmidt separability probability of $\\frac{29}{64} =\\frac{29}{2^6} \\approx 0.453125$ and the qubit-qutrit analogue of the (strongly supported) value of $\\frac{8}{33} = \\frac{2^3}{3 \\cdot 11} \\approx 0.242424$. We advance the possibilities of a rebit-retrit value of $\\frac{860}{6561} =\\frac{2^2 \\cdot 5 \\cdot 43}{3^8} \\approx 0.131078$ and a qubit-qutrit one of $\\frac{27}{1000} = (\\frac{3}{10})^3 =\\frac{3^3}{2^3 \\cdot 5^3} = 0.027$. These four values for $2 \\times m$ systems ($m=2,3$) suggest"},"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":"1809.09040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-24T16:38:31Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"6c905a8a254cd08d7dc31f22de29d08b7d95d36d3ae537c9f915dcfe595240e8","abstract_canon_sha256":"7b7a1851e923e895dc5c76748110ac0d8d10fd7a32cb6151441d0656500f360e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:49.088743Z","signature_b64":"0tVUgHbWxRCM+Thy/1Ebx/d9HO5jUIuqTTDEuzMiF8mw4mUsB/xqmU3MMTnr9UrcI0l2PlM+qQNSXs/bp8luCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de281b9604fd19e47cf28d785bd2d36a2706f6da74d97f29d6aa1e7febdc951b","last_reissued_at":"2026-05-17T23:51:49.088208Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:49.088208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extensions of Generalized Two-Qubit Separability Probability Analyses to Higher Dimensions, Additional Measures and New Methodologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"quant-ph","authors_text":"Paul B. Slater","submitted_at":"2018-09-24T16:38:31Z","abstract_excerpt":"We first seek the rebit-retrit counterpart to the (formally proven by Lovas and Andai) two-rebit Hilbert-Schmidt separability probability of $\\frac{29}{64} =\\frac{29}{2^6} \\approx 0.453125$ and the qubit-qutrit analogue of the (strongly supported) value of $\\frac{8}{33} = \\frac{2^3}{3 \\cdot 11} \\approx 0.242424$. We advance the possibilities of a rebit-retrit value of $\\frac{860}{6561} =\\frac{2^2 \\cdot 5 \\cdot 43}{3^8} \\approx 0.131078$ and a qubit-qutrit one of $\\frac{27}{1000} = (\\frac{3}{10})^3 =\\frac{3^3}{2^3 \\cdot 5^3} = 0.027$. 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