{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HJZ23HNHPPK3IA7HPHTI6XXUK4","short_pith_number":"pith:HJZ23HNH","canonical_record":{"source":{"id":"1112.6370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-29T18:34:13Z","cross_cats_sorted":[],"title_canon_sha256":"ce0002a0b200f5e11572626d56d322bf991c94b1966d959658bf528903006b57","abstract_canon_sha256":"b198f4c01328501782620de4479ff0f2cdc0deb5349d47b55cf2bad662aa4796"},"schema_version":"1.0"},"canonical_sha256":"3a73ad9da77bd5b403e779e68f5ef4572015a37945bcc08dc0874a063a0bd4b6","source":{"kind":"arxiv","id":"1112.6370","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6370","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6370v2","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6370","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"HJZ23HNHPPK3","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HJZ23HNHPPK3IA7H","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HJZ23HNH","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HJZ23HNHPPK3IA7HPHTI6XXUK4","target":"record","payload":{"canonical_record":{"source":{"id":"1112.6370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-29T18:34:13Z","cross_cats_sorted":[],"title_canon_sha256":"ce0002a0b200f5e11572626d56d322bf991c94b1966d959658bf528903006b57","abstract_canon_sha256":"b198f4c01328501782620de4479ff0f2cdc0deb5349d47b55cf2bad662aa4796"},"schema_version":"1.0"},"canonical_sha256":"3a73ad9da77bd5b403e779e68f5ef4572015a37945bcc08dc0874a063a0bd4b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:49.069837Z","signature_b64":"QQbsQKsIr/x2Rzv57uahQwswazPrXycYQ78w94l0vvx5RHEWRwkNr01QUZYoHK9GHJ5sZcncf+OcioITZYXeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a73ad9da77bd5b403e779e68f5ef4572015a37945bcc08dc0874a063a0bd4b6","last_reissued_at":"2026-05-18T04:00:49.069277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:49.069277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.6370","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":"2026-05-18T04:00:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XlBsml30fcj1aILUYQIxI7IrmNyPIgiNikXyfcUVfbTgecXlWbcnma4+z0J8LSmehU5aZSXkB3J5rQl1BZYZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:54:59.966663Z"},"content_sha256":"49f8a0cc5b74e7f4e8d971d17868f1dd9abce71bc7a80685b46bded3bf2e913e","schema_version":"1.0","event_id":"sha256:49f8a0cc5b74e7f4e8d971d17868f1dd9abce71bc7a80685b46bded3bf2e913e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HJZ23HNHPPK3IA7HPHTI6XXUK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unified view of correlations using the square norm distance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bruno Bellomo, Fernando Galve, Gian Luca Giorgi, Giuseppe Compagno, Roberta Zambrini, Rosario Lo Franco","submitted_at":"2011-12-29T18:34:13Z","abstract_excerpt":"The distance between a quantum state and its closest state not having a certain property has been used to quantify the amount of correlations corresponding to that property. This approach allows a unified view of the various kinds of correlations present in a quantum system. In particular, using relative entropy as a distance measure, total correlations can be meaningfully separated in a quantum and a classical part thanks to an additive relation involving only distances between states. Here, we investigate a unified view of correlations using as distance measure the square norm, already used "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6370","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":"2026-05-18T04:00:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hQAp0nJXFdzZ7JM4PgXXGRjjxzYyVacEwtgzJzAQmT6bp6Z9hd6efaKwcHlaKGtw30crgh82k4HBcSB09/fcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:54:59.967019Z"},"content_sha256":"4e779f9d404fb6f5c0f4b94a1559298cd8728feaec31fd5bddf616958276b667","schema_version":"1.0","event_id":"sha256:4e779f9d404fb6f5c0f4b94a1559298cd8728feaec31fd5bddf616958276b667"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4/bundle.json","state_url":"https://pith.science/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4/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":"2026-06-03T14:54:59Z","links":{"resolver":"https://pith.science/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4","bundle":"https://pith.science/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4/bundle.json","state":"https://pith.science/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJZ23HNHPPK3IA7HPHTI6XXUK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HJZ23HNHPPK3IA7HPHTI6XXUK4","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":"b198f4c01328501782620de4479ff0f2cdc0deb5349d47b55cf2bad662aa4796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-29T18:34:13Z","title_canon_sha256":"ce0002a0b200f5e11572626d56d322bf991c94b1966d959658bf528903006b57"},"schema_version":"1.0","source":{"id":"1112.6370","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6370","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6370v2","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6370","created_at":"2026-05-18T04:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"HJZ23HNHPPK3","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HJZ23HNHPPK3IA7H","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HJZ23HNH","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:4e779f9d404fb6f5c0f4b94a1559298cd8728feaec31fd5bddf616958276b667","target":"graph","created_at":"2026-05-18T04:00:49Z","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 distance between a quantum state and its closest state not having a certain property has been used to quantify the amount of correlations corresponding to that property. This approach allows a unified view of the various kinds of correlations present in a quantum system. In particular, using relative entropy as a distance measure, total correlations can be meaningfully separated in a quantum and a classical part thanks to an additive relation involving only distances between states. Here, we investigate a unified view of correlations using as distance measure the square norm, already used ","authors_text":"Bruno Bellomo, Fernando Galve, Gian Luca Giorgi, Giuseppe Compagno, Roberta Zambrini, Rosario Lo Franco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-29T18:34:13Z","title":"Unified view of correlations using the square norm distance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6370","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":"sha256:49f8a0cc5b74e7f4e8d971d17868f1dd9abce71bc7a80685b46bded3bf2e913e","target":"record","created_at":"2026-05-18T04:00:49Z","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":"b198f4c01328501782620de4479ff0f2cdc0deb5349d47b55cf2bad662aa4796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-29T18:34:13Z","title_canon_sha256":"ce0002a0b200f5e11572626d56d322bf991c94b1966d959658bf528903006b57"},"schema_version":"1.0","source":{"id":"1112.6370","kind":"arxiv","version":2}},"canonical_sha256":"3a73ad9da77bd5b403e779e68f5ef4572015a37945bcc08dc0874a063a0bd4b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a73ad9da77bd5b403e779e68f5ef4572015a37945bcc08dc0874a063a0bd4b6","first_computed_at":"2026-05-18T04:00:49.069277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:49.069277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QQbsQKsIr/x2Rzv57uahQwswazPrXycYQ78w94l0vvx5RHEWRwkNr01QUZYoHK9GHJ5sZcncf+OcioITZYXeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:49.069837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6370","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49f8a0cc5b74e7f4e8d971d17868f1dd9abce71bc7a80685b46bded3bf2e913e","sha256:4e779f9d404fb6f5c0f4b94a1559298cd8728feaec31fd5bddf616958276b667"],"state_sha256":"db7f3bab79f2a68f7c41f567a7ca1a2b6e2f867d7fea8038b477dffef6b54865"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I3DcAHXo1vMDhQ7FB+/u5kfTU9r72k6xQm4MmaeQIBbIQQ65zigu09ojNivuiQ1psSAN9Ai3DNAbQmBqjC5dDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:54:59.969018Z","bundle_sha256":"cab5d659272dd5f113d8fb5cf15501dd59ff118cff3b8a80e1426f46d793a8a8"}}