{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7FPXENDSOTO7Q2AY2UPZRDZMYI","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":"d9bd2534427bcb0c0b19c25b7cc2dcd39825327895b0d032912af48d0db8f97a","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-22T14:58:58Z","title_canon_sha256":"2b8e346d0d3c87c34c36149b466dc7f3c4d8735d7400f4b0ed2b34c4827cc835"},"schema_version":"1.0","source":{"id":"1812.00752","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.00752","created_at":"2026-05-17T23:46:09Z"},{"alias_kind":"arxiv_version","alias_value":"1812.00752v2","created_at":"2026-05-17T23:46:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00752","created_at":"2026-05-17T23:46:09Z"},{"alias_kind":"pith_short_12","alias_value":"7FPXENDSOTO7","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7FPXENDSOTO7Q2AY","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7FPXENDS","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:31ed399911943c642f0a5c35e86024bfa55c3a72181d020d27e4c51aaa1ffb59","target":"graph","created_at":"2026-05-17T23:46:09Z","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 demonstrate a generalization of quantum discord using a generalized definition of von-Neumann entropy, which is Sharma-Mittal entropy; and the new definition of discord is called Sharma-Mittal quantum discord. Its analytic expressions are worked out for two qubit quantum states as well as Werner, isotropic, and pointer states as special cases. The R{\\'e}nyi, Tsallis, and von-Neumann entropy based quantum discords can be expressed as limiting cases for of Sharma-Mittal quantum discord. We also numerically compare all these discords and entanglement negativity.","authors_text":"Partha Guha, Souma Mazumdar, Supriyo Dutta","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-22T14:58:58Z","title":"Sharma-Mittal Quantum Discord"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00752","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:d008735694cdbe6460a98da3cbc3dfcf2213cdfe17329241e6fdfd3fc531f8db","target":"record","created_at":"2026-05-17T23:46:09Z","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":"d9bd2534427bcb0c0b19c25b7cc2dcd39825327895b0d032912af48d0db8f97a","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-22T14:58:58Z","title_canon_sha256":"2b8e346d0d3c87c34c36149b466dc7f3c4d8735d7400f4b0ed2b34c4827cc835"},"schema_version":"1.0","source":{"id":"1812.00752","kind":"arxiv","version":2}},"canonical_sha256":"f95f72347274ddf86818d51f988f2cc2038bfb760180a32d59cd37e5af42a47e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f95f72347274ddf86818d51f988f2cc2038bfb760180a32d59cd37e5af42a47e","first_computed_at":"2026-05-17T23:46:09.323626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:09.323626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y+3iNSVN8JDj23m1Oi77KPEZ+/KLS06Bmw6rJaNqGFp15R4yiaRimGmPMfVFuxjAL0up7FhoG1e/Rgea9NhTAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:09.324098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.00752","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d008735694cdbe6460a98da3cbc3dfcf2213cdfe17329241e6fdfd3fc531f8db","sha256:31ed399911943c642f0a5c35e86024bfa55c3a72181d020d27e4c51aaa1ffb59"],"state_sha256":"5366263525729c6b9e55857b76f659b17c36efc7d72760734fe4749f4739815d"}