{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6ZTWTCWFN7EMOFKJ6O75WRGGOX","short_pith_number":"pith:6ZTWTCWF","canonical_record":{"source":{"id":"1308.0901","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-05T08:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"f53f7b012e8ce3fff3371529f34d5074ea3850b7d52812148b9bedde13bac994","abstract_canon_sha256":"d6bf3abf4327b09223ad9e6a6bd97531959aac94d00743e08d2bdb6a0cdbe7cc"},"schema_version":"1.0"},"canonical_sha256":"f667698ac56fc8c71549f3bfdb44c675dde2860663cbbb58d984ee7a4d32ded8","source":{"kind":"arxiv","id":"1308.0901","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0901","created_at":"2026-05-18T01:17:26Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0901v2","created_at":"2026-05-18T01:17:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0901","created_at":"2026-05-18T01:17:26Z"},{"alias_kind":"pith_short_12","alias_value":"6ZTWTCWFN7EM","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6ZTWTCWFN7EMOFKJ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6ZTWTCWF","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6ZTWTCWFN7EMOFKJ6O75WRGGOX","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0901","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-05T08:24:02Z","cross_cats_sorted":[],"title_canon_sha256":"f53f7b012e8ce3fff3371529f34d5074ea3850b7d52812148b9bedde13bac994","abstract_canon_sha256":"d6bf3abf4327b09223ad9e6a6bd97531959aac94d00743e08d2bdb6a0cdbe7cc"},"schema_version":"1.0"},"canonical_sha256":"f667698ac56fc8c71549f3bfdb44c675dde2860663cbbb58d984ee7a4d32ded8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:26.226776Z","signature_b64":"hR6MCx/8EJStMubvy5/0PDyBysKInMij3TA6a/TpnC9jzKXfBzdLDo+VIaMazNxHELqclZG/iMbNnUPJHGj0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f667698ac56fc8c71549f3bfdb44c675dde2860663cbbb58d984ee7a4d32ded8","last_reissued_at":"2026-05-18T01:17:26.226389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:26.226389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0901","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U6r6OJOzyaPvbm/Lw1/G9aumyl+MX28pJFUTs1ajr006bvvXsPqxNgTwq/RKpFiMbIm2d+iQbEJWABZYh6DHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:40:50.735894Z"},"content_sha256":"3c8a88975bb490650cabeb5fa1552e24a81d7a3dba81ee9f5f4e339eb0acb129","schema_version":"1.0","event_id":"sha256:3c8a88975bb490650cabeb5fa1552e24a81d7a3dba81ee9f5f4e339eb0acb129"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6ZTWTCWFN7EMOFKJ6O75WRGGOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparison of quantum discord and relative entropy in some bipartite quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"M.B.Arjmandi, M.Mahdian","submitted_at":"2013-08-05T08:24:02Z","abstract_excerpt":"The study of quantum correlations in High-dimensional bipartite systems is crucial for the development of quantum computing. We propose relative entropy as a distance measure of correlations may be measured by means of the distance from the quantum state to the closest classical-classical state. In particular, We establish relations between relative entropy and quantum discord quantifiers obtained by means of orthogonal projective measurements. We show that for symmetrical X-states density matrices the quantum discord is equal to relative entropy. At the end of paper, various examples of X-sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0901","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3DE6f9aTvLesc1gp148wiOIrvfrSeK+ovziuCfGOoQ9GbJXXsf8v6Slg2I/pkGK3uRdIoeVh4iqAs/5CeUQlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:40:50.736912Z"},"content_sha256":"cf79763d71106051fb8d890c6243ab8bcbc23534a5233e2023571a4b229dccc1","schema_version":"1.0","event_id":"sha256:cf79763d71106051fb8d890c6243ab8bcbc23534a5233e2023571a4b229dccc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX/bundle.json","state_url":"https://pith.science/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T13:40:50Z","links":{"resolver":"https://pith.science/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX","bundle":"https://pith.science/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX/bundle.json","state":"https://pith.science/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZTWTCWFN7EMOFKJ6O75WRGGOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6ZTWTCWFN7EMOFKJ6O75WRGGOX","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":"d6bf3abf4327b09223ad9e6a6bd97531959aac94d00743e08d2bdb6a0cdbe7cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-05T08:24:02Z","title_canon_sha256":"f53f7b012e8ce3fff3371529f34d5074ea3850b7d52812148b9bedde13bac994"},"schema_version":"1.0","source":{"id":"1308.0901","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0901","created_at":"2026-05-18T01:17:26Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0901v2","created_at":"2026-05-18T01:17:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0901","created_at":"2026-05-18T01:17:26Z"},{"alias_kind":"pith_short_12","alias_value":"6ZTWTCWFN7EM","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6ZTWTCWFN7EMOFKJ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6ZTWTCWF","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:cf79763d71106051fb8d890c6243ab8bcbc23534a5233e2023571a4b229dccc1","target":"graph","created_at":"2026-05-18T01:17:26Z","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 study of quantum correlations in High-dimensional bipartite systems is crucial for the development of quantum computing. We propose relative entropy as a distance measure of correlations may be measured by means of the distance from the quantum state to the closest classical-classical state. In particular, We establish relations between relative entropy and quantum discord quantifiers obtained by means of orthogonal projective measurements. We show that for symmetrical X-states density matrices the quantum discord is equal to relative entropy. At the end of paper, various examples of X-sta","authors_text":"M.B.Arjmandi, M.Mahdian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-05T08:24:02Z","title":"Comparison of quantum discord and relative entropy in some bipartite quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0901","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":"sha256:3c8a88975bb490650cabeb5fa1552e24a81d7a3dba81ee9f5f4e339eb0acb129","target":"record","created_at":"2026-05-18T01:17:26Z","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":"d6bf3abf4327b09223ad9e6a6bd97531959aac94d00743e08d2bdb6a0cdbe7cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-05T08:24:02Z","title_canon_sha256":"f53f7b012e8ce3fff3371529f34d5074ea3850b7d52812148b9bedde13bac994"},"schema_version":"1.0","source":{"id":"1308.0901","kind":"arxiv","version":2}},"canonical_sha256":"f667698ac56fc8c71549f3bfdb44c675dde2860663cbbb58d984ee7a4d32ded8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f667698ac56fc8c71549f3bfdb44c675dde2860663cbbb58d984ee7a4d32ded8","first_computed_at":"2026-05-18T01:17:26.226389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:26.226389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hR6MCx/8EJStMubvy5/0PDyBysKInMij3TA6a/TpnC9jzKXfBzdLDo+VIaMazNxHELqclZG/iMbNnUPJHGj0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:26.226776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0901","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c8a88975bb490650cabeb5fa1552e24a81d7a3dba81ee9f5f4e339eb0acb129","sha256:cf79763d71106051fb8d890c6243ab8bcbc23534a5233e2023571a4b229dccc1"],"state_sha256":"cfcf1f204781106eda912572c2a972ef17fb882cfed5bd604b3449578e06c471"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Os6Pe9ZR5eTiEPJnN1bQM0FXULwaXLzqoj1pdJUXTLfhHu3HIJoGdMmj0ZB63URgrRspqg8/1Kmm4A01M6FCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T13:40:50.753932Z","bundle_sha256":"0a85469d6c598b50c5446f1b673b102cb4e4b5de5c9d7af39994b36f34e47664"}}