{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:355VDOD6NY32UYJJ2GK23LF5FI","short_pith_number":"pith:355VDOD6","canonical_record":{"source":{"id":"1501.02545","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2015-01-12T05:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"74c1653b31ffed69d7eacdbb4df7652b3b58a3eff4e60a10eecb1080e0437596","abstract_canon_sha256":"c8651319576051f6b1d7e61027f046f5265b35d5015dfe2b57dea441f78c7faa"},"schema_version":"1.0"},"canonical_sha256":"df7b51b87e6e37aa6129d195adacbd2a1fc00279d31f2612d488ae8233b213fa","source":{"kind":"arxiv","id":"1501.02545","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02545","created_at":"2026-05-18T00:31:00Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02545v3","created_at":"2026-05-18T00:31:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02545","created_at":"2026-05-18T00:31:00Z"},{"alias_kind":"pith_short_12","alias_value":"355VDOD6NY32","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"355VDOD6NY32UYJJ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"355VDOD6","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:355VDOD6NY32UYJJ2GK23LF5FI","target":"record","payload":{"canonical_record":{"source":{"id":"1501.02545","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2015-01-12T05:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"74c1653b31ffed69d7eacdbb4df7652b3b58a3eff4e60a10eecb1080e0437596","abstract_canon_sha256":"c8651319576051f6b1d7e61027f046f5265b35d5015dfe2b57dea441f78c7faa"},"schema_version":"1.0"},"canonical_sha256":"df7b51b87e6e37aa6129d195adacbd2a1fc00279d31f2612d488ae8233b213fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:00.634822Z","signature_b64":"95P+rjinAYr2FQecWgEvPd88iY/+ph9/+dblXJO630E+jY2rJQuwrnKJnxnYi7fdMdyynmlv2eJHW1jYKsrRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df7b51b87e6e37aa6129d195adacbd2a1fc00279d31f2612d488ae8233b213fa","last_reissued_at":"2026-05-18T00:31:00.634042Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:00.634042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.02545","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mz7CrfTPytX0hzptj/+X+ewEau5NbZDT1ORhVhUlmnCx/ZodyfWY4pKtG+K4SimUek1pKjClHlmm45CWxJw5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:18:39.273704Z"},"content_sha256":"225dd23221d0afa979c4c4ba4f00b2e35cad0c403b2cd9e1a556c1181a67eec9","schema_version":"1.0","event_id":"sha256:225dd23221d0afa979c4c4ba4f00b2e35cad0c403b2cd9e1a556c1181a67eec9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:355VDOD6NY32UYJJ2GK23LF5FI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Decomposition Properties of Quantum Discord","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Junde Wu, Sunho Kim","submitted_at":"2015-01-12T05:39:17Z","abstract_excerpt":"The quantum discord was introduced by Ollivier, Zurek, Henderson and Vedral as an indicator of the degree of quantumness of mixed states. In this paper, we give out the decomposition condition of quantum discords. Moreover, we show that under the condition, the quantum correlations between the quantum systems can be captured completely by the entanglement measure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02545","kind":"arxiv","version":3},"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":"2026-05-18T00:31:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dHkeDRyTcTO+HznEMAkCITFzGnmvepriO2Ee05uM1q5cwHUmooQ3MMxaVXuoSWM5lX9QAOVb/oMvk9ixX2A0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:18:39.274039Z"},"content_sha256":"2e4c97f3b20c90eca13b303150c56b73825c843ca3b8b9cffdbe3ce929e881c9","schema_version":"1.0","event_id":"sha256:2e4c97f3b20c90eca13b303150c56b73825c843ca3b8b9cffdbe3ce929e881c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/355VDOD6NY32UYJJ2GK23LF5FI/bundle.json","state_url":"https://pith.science/pith/355VDOD6NY32UYJJ2GK23LF5FI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/355VDOD6NY32UYJJ2GK23LF5FI/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":"2026-07-05T09:18:39Z","links":{"resolver":"https://pith.science/pith/355VDOD6NY32UYJJ2GK23LF5FI","bundle":"https://pith.science/pith/355VDOD6NY32UYJJ2GK23LF5FI/bundle.json","state":"https://pith.science/pith/355VDOD6NY32UYJJ2GK23LF5FI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/355VDOD6NY32UYJJ2GK23LF5FI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:355VDOD6NY32UYJJ2GK23LF5FI","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":"c8651319576051f6b1d7e61027f046f5265b35d5015dfe2b57dea441f78c7faa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2015-01-12T05:39:17Z","title_canon_sha256":"74c1653b31ffed69d7eacdbb4df7652b3b58a3eff4e60a10eecb1080e0437596"},"schema_version":"1.0","source":{"id":"1501.02545","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02545","created_at":"2026-05-18T00:31:00Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02545v3","created_at":"2026-05-18T00:31:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02545","created_at":"2026-05-18T00:31:00Z"},{"alias_kind":"pith_short_12","alias_value":"355VDOD6NY32","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"355VDOD6NY32UYJJ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"355VDOD6","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:2e4c97f3b20c90eca13b303150c56b73825c843ca3b8b9cffdbe3ce929e881c9","target":"graph","created_at":"2026-05-18T00:31:00Z","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 quantum discord was introduced by Ollivier, Zurek, Henderson and Vedral as an indicator of the degree of quantumness of mixed states. In this paper, we give out the decomposition condition of quantum discords. Moreover, we show that under the condition, the quantum correlations between the quantum systems can be captured completely by the entanglement measure.","authors_text":"Junde Wu, Sunho Kim","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2015-01-12T05:39:17Z","title":"The Decomposition Properties of Quantum Discord"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02545","kind":"arxiv","version":3},"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":"sha256:225dd23221d0afa979c4c4ba4f00b2e35cad0c403b2cd9e1a556c1181a67eec9","target":"record","created_at":"2026-05-18T00:31:00Z","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":"c8651319576051f6b1d7e61027f046f5265b35d5015dfe2b57dea441f78c7faa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2015-01-12T05:39:17Z","title_canon_sha256":"74c1653b31ffed69d7eacdbb4df7652b3b58a3eff4e60a10eecb1080e0437596"},"schema_version":"1.0","source":{"id":"1501.02545","kind":"arxiv","version":3}},"canonical_sha256":"df7b51b87e6e37aa6129d195adacbd2a1fc00279d31f2612d488ae8233b213fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df7b51b87e6e37aa6129d195adacbd2a1fc00279d31f2612d488ae8233b213fa","first_computed_at":"2026-05-18T00:31:00.634042Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:00.634042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"95P+rjinAYr2FQecWgEvPd88iY/+ph9/+dblXJO630E+jY2rJQuwrnKJnxnYi7fdMdyynmlv2eJHW1jYKsrRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:00.634822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02545","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:225dd23221d0afa979c4c4ba4f00b2e35cad0c403b2cd9e1a556c1181a67eec9","sha256:2e4c97f3b20c90eca13b303150c56b73825c843ca3b8b9cffdbe3ce929e881c9"],"state_sha256":"2b94b97d54d0c25269989fbfda6a66da693a5950b0764fe5fc7b237ddc71d734"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B71KNU+Y2rQhKU2UHCBgyoMdAKX89EQLcRp8FqMDy8Y15/HekcCoYgXMHs/dG66H10B7+Vj8ViP/62A1DGjyBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:18:39.275924Z","bundle_sha256":"6a5d2729bfccc2941187e3732c4c5f6612b3f59953104285c87d1f9988eb6e5f"}}