{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IQOYXLXBEKA3BQHZTJMJMQSKUN","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":"fc27a43e1e4cf2e633f9d13dad6a1acee1862bcdd530ff55ac295c876ba56abf","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-08T20:31:40Z","title_canon_sha256":"e9304a0a9082a1b3482f8ff95cfd3a0d9ef7f7189fcf7e9a77ca14409b6bd3d6"},"schema_version":"1.0","source":{"id":"1612.02798","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02798","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02798v2","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02798","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"IQOYXLXBEKA3","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IQOYXLXBEKA3BQHZ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IQOYXLXB","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:ae95b37120d1c106fbab6bd31343ff27a507a5de5674dd6b1bf9f6090f501227","target":"graph","created_at":"2026-05-18T00:55:28Z","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 study, further, a conjectured formula for generalized two-qubit Hilbert-Schmidt separability probabilities that has recently been proven by Lovas and Andai (https://arxiv.org/pdf/1610.01410.pdf) for its real (two-rebit) asserted value ($\\frac{29}{64}$), and that has also been very strongly supported numerically for its complex ($\\frac{8}{33}$), and quaternionic ($\\frac{26}{323}$) counterparts. Now, we seek to test the presumptive octonionic value of $\\frac{44482}{4091349} \\approx 0.0108722$. We are somewhat encouraged by certain numerical computations, indicating that this (51-dimensional) ","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":"2016-12-08T20:31:40Z","title":"Octonionic two-qubit separability probability conjectures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02798","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":"sha256:10edb9a8a2f0b8faf1632591440421166bf1790027dce8fa6204793df35c2556","target":"record","created_at":"2026-05-18T00:55:28Z","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":"fc27a43e1e4cf2e633f9d13dad6a1acee1862bcdd530ff55ac295c876ba56abf","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-08T20:31:40Z","title_canon_sha256":"e9304a0a9082a1b3482f8ff95cfd3a0d9ef7f7189fcf7e9a77ca14409b6bd3d6"},"schema_version":"1.0","source":{"id":"1612.02798","kind":"arxiv","version":2}},"canonical_sha256":"441d8baee12281b0c0f99a5896424aa3602950dce0a3560d232fb2f5561be69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"441d8baee12281b0c0f99a5896424aa3602950dce0a3560d232fb2f5561be69a","first_computed_at":"2026-05-18T00:55:28.161350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:28.161350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W5h0zRWC3q+5O1dqFSOGWZmr2mcCKNp/KHW66RxIGw/sp3RaaPNrpaTXHgv98wMUZ//37HON6Yh1fqtaOYRlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:28.162111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02798","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10edb9a8a2f0b8faf1632591440421166bf1790027dce8fa6204793df35c2556","sha256:ae95b37120d1c106fbab6bd31343ff27a507a5de5674dd6b1bf9f6090f501227"],"state_sha256":"2b27ff1d7e8a0b9773c10c787f241767ef42e17eddc1041f67571a0f61ac258f"}