{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2FDPJ3ERCAVNZJGJCSE4JY6TCI","short_pith_number":"pith:2FDPJ3ER","canonical_record":{"source":{"id":"1706.04562","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-14T16:09:26Z","cross_cats_sorted":["cond-mat.dis-nn","cs.IT","math.IT","nlin.AO","physics.data-an"],"title_canon_sha256":"6eb962a668c1c456096ee7d62ea336271ebc9c621a7c6bb0544a99e14d297003","abstract_canon_sha256":"c314de9a7b1faf4bf482402f72767a0e7e9f175e770d6daee3f78ab243db3e45"},"schema_version":"1.0"},"canonical_sha256":"d146f4ec91102adca4c91489c4e3d3123a7a62b66cebb0fc404a63dbd2074eb6","source":{"kind":"arxiv","id":"1706.04562","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04562","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04562v3","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04562","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"2FDPJ3ERCAVN","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FDPJ3ERCAVNZJGJ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FDPJ3ER","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2FDPJ3ERCAVNZJGJCSE4JY6TCI","target":"record","payload":{"canonical_record":{"source":{"id":"1706.04562","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-14T16:09:26Z","cross_cats_sorted":["cond-mat.dis-nn","cs.IT","math.IT","nlin.AO","physics.data-an"],"title_canon_sha256":"6eb962a668c1c456096ee7d62ea336271ebc9c621a7c6bb0544a99e14d297003","abstract_canon_sha256":"c314de9a7b1faf4bf482402f72767a0e7e9f175e770d6daee3f78ab243db3e45"},"schema_version":"1.0"},"canonical_sha256":"d146f4ec91102adca4c91489c4e3d3123a7a62b66cebb0fc404a63dbd2074eb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:27.449613Z","signature_b64":"PIVZA3SQa69ZOGOBmmYlMxIUfN/nheGmmbQFaq/aUV8qiWuZc1HuSr4tKJLmR2aIFQx6dqe8QE36NfPmkjG5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d146f4ec91102adca4c91489c4e3d3123a7a62b66cebb0fc404a63dbd2074eb6","last_reissued_at":"2026-05-18T00:33:27.448985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:27.448985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.04562","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":"2026-05-18T00:33:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YqsTtFZ3ru3YRms7jSVZGihDTtt2A3CX88Ed5jZdtw8G3stj4mFcugVliZV/FB17lfTKyKDaG8lt+/9jpAf6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:20:43.419701Z"},"content_sha256":"bde8b6655f381d7e9da8599e545fc7a61aaf4d0df30e607913506e0090588225","schema_version":"1.0","event_id":"sha256:bde8b6655f381d7e9da8599e545fc7a61aaf4d0df30e607913506e0090588225"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2FDPJ3ERCAVNZJGJCSE4JY6TCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying genuine multipartite correlations and their pattern complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cs.IT","math.IT","nlin.AO","physics.data-an"],"primary_cat":"quant-ph","authors_text":"Cristian E. Susa, Davide Girolami, Tommaso Tufarelli","submitted_at":"2017-06-14T16:09:26Z","abstract_excerpt":"We propose an information-theoretic framework to quantify multipartite correlations in classical and quantum systems, answering questions such as: what is the amount of seven-partite correlations in a given state of ten particles? We identify measures of genuine multipartite correlations, i.e. statistical dependencies which cannot be ascribed to bipartite correlations, satisfying a set of desirable properties. Inspired by ideas developed in complexity science, we then introduce the concept of weaving to classify states which display different correlation patterns, but cannot be distinguished b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04562","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":"2026-05-18T00:33:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JxPmUysrN2FPqXtYs+4itbEvU2KghpE92C0U/O+E45T0fZgVSUlOjGooyxAranop/KgUCqu+R+i10IjU/v14AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:20:43.420069Z"},"content_sha256":"cb54a085b558451e92778182d6ff14235b91cd4eb4cca84a2ba316c4e9e31ca4","schema_version":"1.0","event_id":"sha256:cb54a085b558451e92778182d6ff14235b91cd4eb4cca84a2ba316c4e9e31ca4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI/bundle.json","state_url":"https://pith.science/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI/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":"2026-05-23T12:20:43Z","links":{"resolver":"https://pith.science/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI","bundle":"https://pith.science/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI/bundle.json","state":"https://pith.science/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2FDPJ3ERCAVNZJGJCSE4JY6TCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2FDPJ3ERCAVNZJGJCSE4JY6TCI","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":"c314de9a7b1faf4bf482402f72767a0e7e9f175e770d6daee3f78ab243db3e45","cross_cats_sorted":["cond-mat.dis-nn","cs.IT","math.IT","nlin.AO","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-14T16:09:26Z","title_canon_sha256":"6eb962a668c1c456096ee7d62ea336271ebc9c621a7c6bb0544a99e14d297003"},"schema_version":"1.0","source":{"id":"1706.04562","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04562","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04562v3","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04562","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"2FDPJ3ERCAVN","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FDPJ3ERCAVNZJGJ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FDPJ3ER","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:cb54a085b558451e92778182d6ff14235b91cd4eb4cca84a2ba316c4e9e31ca4","target":"graph","created_at":"2026-05-18T00:33:27Z","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 propose an information-theoretic framework to quantify multipartite correlations in classical and quantum systems, answering questions such as: what is the amount of seven-partite correlations in a given state of ten particles? We identify measures of genuine multipartite correlations, i.e. statistical dependencies which cannot be ascribed to bipartite correlations, satisfying a set of desirable properties. Inspired by ideas developed in complexity science, we then introduce the concept of weaving to classify states which display different correlation patterns, but cannot be distinguished b","authors_text":"Cristian E. Susa, Davide Girolami, Tommaso Tufarelli","cross_cats":["cond-mat.dis-nn","cs.IT","math.IT","nlin.AO","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-14T16:09:26Z","title":"Quantifying genuine multipartite correlations and their pattern complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04562","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:bde8b6655f381d7e9da8599e545fc7a61aaf4d0df30e607913506e0090588225","target":"record","created_at":"2026-05-18T00:33:27Z","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":"c314de9a7b1faf4bf482402f72767a0e7e9f175e770d6daee3f78ab243db3e45","cross_cats_sorted":["cond-mat.dis-nn","cs.IT","math.IT","nlin.AO","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-06-14T16:09:26Z","title_canon_sha256":"6eb962a668c1c456096ee7d62ea336271ebc9c621a7c6bb0544a99e14d297003"},"schema_version":"1.0","source":{"id":"1706.04562","kind":"arxiv","version":3}},"canonical_sha256":"d146f4ec91102adca4c91489c4e3d3123a7a62b66cebb0fc404a63dbd2074eb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d146f4ec91102adca4c91489c4e3d3123a7a62b66cebb0fc404a63dbd2074eb6","first_computed_at":"2026-05-18T00:33:27.448985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:27.448985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PIVZA3SQa69ZOGOBmmYlMxIUfN/nheGmmbQFaq/aUV8qiWuZc1HuSr4tKJLmR2aIFQx6dqe8QE36NfPmkjG5BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:27.449613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04562","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bde8b6655f381d7e9da8599e545fc7a61aaf4d0df30e607913506e0090588225","sha256:cb54a085b558451e92778182d6ff14235b91cd4eb4cca84a2ba316c4e9e31ca4"],"state_sha256":"4e153c72b95b7f81f14ba267fec9160679925e9d76c950f4e1be8fa00e86f2a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ioHvYeAXB4ZPQtXrpYl5Hk7L0L+FIc1TRUD9g2Czu1DsEh+GVAkBF6ZCrimB6FBnPQUvS3AtFwbSJQkf6FHkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T12:20:43.422561Z","bundle_sha256":"fd933d8d993ef386535a9c435c0559bfbed6baa4a51ff79a93a327c325b4d609"}}