{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YZTP6MJSII77DZWXNVAJ55765I","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8dee736afaed927822831833d1f4b71e505ac414d180a86c462c3212ec613a50","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T15:26:12Z","title_canon_sha256":"e00c743ffced64e02f9a222c85cc2e983a45893cb07a933b67b30fc328afe0a7"},"schema_version":"1.0","source":{"id":"1803.10680","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10680","created_at":"2026-05-18T00:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10680v2","created_at":"2026-05-18T00:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10680","created_at":"2026-05-18T00:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"YZTP6MJSII77","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YZTP6MJSII77DZWX","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YZTP6MJS","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:8ec00736ebfea28572192f379893e4726db64e8ec6b56e5d03a45dd2afc20d0d","target":"graph","created_at":"2026-05-18T00:17:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We begin by seeking the qubit-qutrit and rebit-retrit counterparts to the now well-established Hilbert-Schmidt separability probabilities for (the 15-dimensional convex set of) two-qubits of $\\frac{8}{33} = \\frac{2^3}{3 \\cdot 11} \\approx 0.242424$ and (the 9-dimensional) two-rebits of $\\frac{29}{64} =\\frac{29}{2^6} \\approx 0.453125$. Based in part on extensive numerical computations, we advance the possibilities of a qubit-qutrit value of $\\frac{27}{1000} = (\\frac{3}{10})^3 =\\frac{3^3}{2^3 \\cdot 5^3} = 0.027$ and a rebit-retrit one of $\\frac{860}{6561} =\\frac{2^2 \\cdot 5 \\cdot 43}{3^8} \\approx","authors_text":"Paul B. Slater","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T15:26:12Z","title":"Qubit-Qudit Separability/PPT-Probability Analyses and Lovas-Andai Formula Extensions to Induced Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10680","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6585152dfb367fff3528df40ff0057229e688d5148390a3beb0942c12f5dc15e","target":"record","created_at":"2026-05-18T00:17:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8dee736afaed927822831833d1f4b71e505ac414d180a86c462c3212ec613a50","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T15:26:12Z","title_canon_sha256":"e00c743ffced64e02f9a222c85cc2e983a45893cb07a933b67b30fc328afe0a7"},"schema_version":"1.0","source":{"id":"1803.10680","kind":"arxiv","version":2}},"canonical_sha256":"c666ff3132423ff1e6d76d409ef7feea380f796a1635664cbcc803c432c8d643","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c666ff3132423ff1e6d76d409ef7feea380f796a1635664cbcc803c432c8d643","first_computed_at":"2026-05-18T00:17:38.045898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:38.045898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vCrnsz6ZxLDrH0nl/7BmRdof8WZogHfufHG4GioOdxVXw1vozOUAQGZHXMjNeignq54QJFHYjsuu4u2mbGOtDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:38.046625Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.10680","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6585152dfb367fff3528df40ff0057229e688d5148390a3beb0942c12f5dc15e","sha256:8ec00736ebfea28572192f379893e4726db64e8ec6b56e5d03a45dd2afc20d0d"],"state_sha256":"469644c42f53fa2874c19b136d6bb684a8ad0c183e225462bf101f7d65c96cdd"}