{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4PUB5PWPGNIT65IA7NKUSCJ44P","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":"a155dda40de2b46206ad57b4a283ae5fa91bb871a997787fff9eca5f5882fcab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-27T02:29:41Z","title_canon_sha256":"8da029d50b0b0fc601153b1590f7b21304f145e300ceb49a1d0e19abc54621fe"},"schema_version":"1.0","source":{"id":"1003.5256","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5256","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5256v2","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5256","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"4PUB5PWPGNIT","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4PUB5PWPGNIT65IA","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4PUB5PWP","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b22d5582697df590e9b4b2fdf7aa94c8d4506bd092a9dba730af7c4c8200c558","target":"graph","created_at":"2026-05-18T04:19:43Z","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":"The positivity of quantum discord is shown to be equivalent to the strong subadditivity of von-Neumann entropy. This leads us to a necessary and sufficient condition characterizing the set of states with zero quantum discord. This also gives us a mathematical definition of pointer states, as they are the states with zero discord. Finally, we suggest that strong subadditivity of entropy might delineate the boundaries of the set of quantum correlations.","authors_text":"Animesh Datta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-27T02:29:41Z","title":"A Condition for the Nullity of Quantum Discord"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5256","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:c134275e40c48cc2bee2bc3dd615d3ed4e6366ab4b1d959e89b88d2d802445c1","target":"record","created_at":"2026-05-18T04:19:43Z","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":"a155dda40de2b46206ad57b4a283ae5fa91bb871a997787fff9eca5f5882fcab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-27T02:29:41Z","title_canon_sha256":"8da029d50b0b0fc601153b1590f7b21304f145e300ceb49a1d0e19abc54621fe"},"schema_version":"1.0","source":{"id":"1003.5256","kind":"arxiv","version":2}},"canonical_sha256":"e3e81ebecf33513f7500fb5549093ce3e9de1fc763866fd572daf2b18b602c8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3e81ebecf33513f7500fb5549093ce3e9de1fc763866fd572daf2b18b602c8c","first_computed_at":"2026-05-18T04:19:43.824616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:43.824616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5GpjzLm5JfIhkkBInvzPSvOJa4T613q1ioSLm7+UnvQ1fGlTTF3LhFQw4nGzBZwJ3gxBia822JEr/vT5z6gvCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:43.825095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5256","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c134275e40c48cc2bee2bc3dd615d3ed4e6366ab4b1d959e89b88d2d802445c1","sha256:b22d5582697df590e9b4b2fdf7aa94c8d4506bd092a9dba730af7c4c8200c558"],"state_sha256":"aae1ccf1b7e864746850c7fe6291a87c7750a40642ac5dd5d95f4bbb88b672f1"}