{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VOZGKFJCFKL5Z55HPQQZV4IDH4","short_pith_number":"pith:VOZGKFJC","canonical_record":{"source":{"id":"1008.4135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T20:00:08Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"4ed020ebabef15a6b6b3944bb15891adcf48d42524eabbbd26988f948a5881aa","abstract_canon_sha256":"62087a1a624a0033fc2f37acfc208d8fa8f0e57ecc043045ace201837e3fc013"},"schema_version":"1.0"},"canonical_sha256":"abb26515222a97dcf7a77c219af1033f0562143930b6ad77c25cd8a90d8fda29","source":{"kind":"arxiv","id":"1008.4135","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4135","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4135v2","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4135","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"VOZGKFJCFKL5","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VOZGKFJCFKL5Z55H","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VOZGKFJC","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VOZGKFJCFKL5Z55HPQQZV4IDH4","target":"record","payload":{"canonical_record":{"source":{"id":"1008.4135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T20:00:08Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"4ed020ebabef15a6b6b3944bb15891adcf48d42524eabbbd26988f948a5881aa","abstract_canon_sha256":"62087a1a624a0033fc2f37acfc208d8fa8f0e57ecc043045ace201837e3fc013"},"schema_version":"1.0"},"canonical_sha256":"abb26515222a97dcf7a77c219af1033f0562143930b6ad77c25cd8a90d8fda29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:43.687527Z","signature_b64":"aZLE7wZFJwC+xQhzhv1tU0BFj93pmYe1BuW9qXMf4W2LizzacbyZs5C9Y6xH1bQ9LX90xrFGc0FM2CzsgmcsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abb26515222a97dcf7a77c219af1033f0562143930b6ad77c25cd8a90d8fda29","last_reissued_at":"2026-05-18T04:19:43.687024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:43.687024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.4135","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":"2026-05-18T04:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZNWaukhSzbItu3jM3NNWsvbmur9iqgX2J/hd8cMXaljigJHjlX0VsW880TAMDgGLmyNpR7QP52uSfWHpxHuVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:15:51.477736Z"},"content_sha256":"37378c258834d397a146085053861f420dbaaddea07354bf018f15eba846e866","schema_version":"1.0","event_id":"sha256:37378c258834d397a146085053861f420dbaaddea07354bf018f15eba846e866"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VOZGKFJCFKL5Z55HPQQZV4IDH4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpreting quantum discord through quantum state merging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Animesh Datta, Vaibhav Madhok","submitted_at":"2010-08-24T20:00:08Z","abstract_excerpt":"We present an operational interpretation of quantum discord based on the quantum state merging protocol. Quantum discord is the markup in the cost of quantum communication in the process of quantum state merging, if one discards relevant prior information. Our interpretation has an intuitive explanation based on the strong subadditivity of von Neumann entropy. We use our result to provide operational interpretations of other quantities like the local purity and quantum deficit. Finally, we discuss in brief some instances where our interpretation is valid in the single copy scenario."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4135","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":"2026-05-18T04:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/nA1F1Qav/pn5TRU9Wtc1xnS3x/dV88a38uI4esfr6ATu5/m0C9KYpWZdIspaCdGk5tPbSmuNVlfItQp+1w/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:15:51.478369Z"},"content_sha256":"7a2b3a60e6a4b1163385a9bcead5e37843449ecae7a574dfc56cdb5b1351003c","schema_version":"1.0","event_id":"sha256:7a2b3a60e6a4b1163385a9bcead5e37843449ecae7a574dfc56cdb5b1351003c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4/bundle.json","state_url":"https://pith.science/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4/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":"2026-05-27T07:15:51Z","links":{"resolver":"https://pith.science/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4","bundle":"https://pith.science/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4/bundle.json","state":"https://pith.science/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VOZGKFJCFKL5Z55HPQQZV4IDH4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VOZGKFJCFKL5Z55HPQQZV4IDH4","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":"62087a1a624a0033fc2f37acfc208d8fa8f0e57ecc043045ace201837e3fc013","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T20:00:08Z","title_canon_sha256":"4ed020ebabef15a6b6b3944bb15891adcf48d42524eabbbd26988f948a5881aa"},"schema_version":"1.0","source":{"id":"1008.4135","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.4135","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.4135v2","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4135","created_at":"2026-05-18T04:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"VOZGKFJCFKL5","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VOZGKFJCFKL5Z55H","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VOZGKFJC","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:7a2b3a60e6a4b1163385a9bcead5e37843449ecae7a574dfc56cdb5b1351003c","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":"We present an operational interpretation of quantum discord based on the quantum state merging protocol. Quantum discord is the markup in the cost of quantum communication in the process of quantum state merging, if one discards relevant prior information. Our interpretation has an intuitive explanation based on the strong subadditivity of von Neumann entropy. We use our result to provide operational interpretations of other quantities like the local purity and quantum deficit. Finally, we discuss in brief some instances where our interpretation is valid in the single copy scenario.","authors_text":"Animesh Datta, Vaibhav Madhok","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T20:00:08Z","title":"Interpreting quantum discord through quantum state merging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4135","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":"sha256:37378c258834d397a146085053861f420dbaaddea07354bf018f15eba846e866","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":"62087a1a624a0033fc2f37acfc208d8fa8f0e57ecc043045ace201837e3fc013","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T20:00:08Z","title_canon_sha256":"4ed020ebabef15a6b6b3944bb15891adcf48d42524eabbbd26988f948a5881aa"},"schema_version":"1.0","source":{"id":"1008.4135","kind":"arxiv","version":2}},"canonical_sha256":"abb26515222a97dcf7a77c219af1033f0562143930b6ad77c25cd8a90d8fda29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abb26515222a97dcf7a77c219af1033f0562143930b6ad77c25cd8a90d8fda29","first_computed_at":"2026-05-18T04:19:43.687024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:43.687024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aZLE7wZFJwC+xQhzhv1tU0BFj93pmYe1BuW9qXMf4W2LizzacbyZs5C9Y6xH1bQ9LX90xrFGc0FM2CzsgmcsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:43.687527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.4135","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37378c258834d397a146085053861f420dbaaddea07354bf018f15eba846e866","sha256:7a2b3a60e6a4b1163385a9bcead5e37843449ecae7a574dfc56cdb5b1351003c"],"state_sha256":"f77839b53cb2989cd0472a9b61e2f314c7631b7c46d39932964a2d9b658978d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U2lg4uAkolf8JhdO7gRz+uFGKmq7/6evDnO+UrQSQEfs7v77TXTWbixUraayy5QEVjWQHkWs/BwBpPVd+xyXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:15:51.481031Z","bundle_sha256":"850604b01f779b9fa943fb417ff0323621daa476ac9a84a0c34779f28db8647d"}}