{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:XGXOATAZAJQMJU2N7ZMD5E5AV6","short_pith_number":"pith:XGXOATAZ","canonical_record":{"source":{"id":"0910.3134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-16T14:40:48Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9b6e499f818a75a04ceedc252b2da1a2f83a22c8f930d56ea631dc89c8d24d7e","abstract_canon_sha256":"ef128b169bb4bb2fd2e49284995f60e30b851146970afcec98061c45da43c85f"},"schema_version":"1.0"},"canonical_sha256":"b9aee04c190260c4d34dfe583e93a0af9db49e6a989595aa1badeb23445dabc3","source":{"kind":"arxiv","id":"0910.3134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.3134","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"0910.3134v1","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3134","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"XGXOATAZAJQM","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XGXOATAZAJQMJU2N","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XGXOATAZ","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:XGXOATAZAJQMJU2N7ZMD5E5AV6","target":"record","payload":{"canonical_record":{"source":{"id":"0910.3134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-16T14:40:48Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9b6e499f818a75a04ceedc252b2da1a2f83a22c8f930d56ea631dc89c8d24d7e","abstract_canon_sha256":"ef128b169bb4bb2fd2e49284995f60e30b851146970afcec98061c45da43c85f"},"schema_version":"1.0"},"canonical_sha256":"b9aee04c190260c4d34dfe583e93a0af9db49e6a989595aa1badeb23445dabc3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:40.493336Z","signature_b64":"TMpMMZYZR1irThmvB/ubvcgdBQp1u6TB4MIIKGaH8nNDKZAMwpdEQWhCLs8p2RsL/7dvIZ7tQb8nPsToqTLZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9aee04c190260c4d34dfe583e93a0af9db49e6a989595aa1badeb23445dabc3","last_reissued_at":"2026-05-18T04:22:40.492915Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:40.492915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.3134","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"od/UjIn8IX1yYyKkgHYvi0TKEbjxlkXTfrE2srMtJDEswQSntofPugzVqbKjzYc4JB2nLOaw3/V/hQxqsZlbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:40:55.802370Z"},"content_sha256":"a5b5a92807d8ad59c25b69b2d7466386e4d36ab01e8f8aee3e0c5390d3cadc81","schema_version":"1.0","event_id":"sha256:a5b5a92807d8ad59c25b69b2d7466386e4d36ab01e8f8aee3e0c5390d3cadc81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:XGXOATAZAJQMJU2N7ZMD5E5AV6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multipartite Entanglement and Frustration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"G. Florio, G. Parisi, P. Facchi, S. Pascazio, U. Marzolino","submitted_at":"2009-10-16T14:40:48Z","abstract_excerpt":"Some features of the global entanglement of a composed quantum system can be quantified in terms of the purity of a balanced bipartition, made up of half of its subsystems. For the given bipartition, purity can always be minimized by taking a suitable (pure) state. When many bipartitions are considered, the requirement that purity be minimal for all bipartitions can engender conflicts and frustration arises. This unearths an interesting link between frustration and multipartite entanglement, defined as the average purity over all (balanced) bipartitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3134","kind":"arxiv","version":1},"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":"2026-05-18T04:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eIzp6A/Xcdu7T46uR3BrgKvlX/jxM+OEetMVEMFBER55gffaLHOUO7HqgGX/tqeHgAw22KvcWvBeCfflnxZqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:40:55.802721Z"},"content_sha256":"1bb519c8e65620a71445834636c194f14d7b51e553b3dbf83c9ec99bec8283e2","schema_version":"1.0","event_id":"sha256:1bb519c8e65620a71445834636c194f14d7b51e553b3dbf83c9ec99bec8283e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6/bundle.json","state_url":"https://pith.science/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6/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":"2026-06-02T22:40:55Z","links":{"resolver":"https://pith.science/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6","bundle":"https://pith.science/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6/bundle.json","state":"https://pith.science/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGXOATAZAJQMJU2N7ZMD5E5AV6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:XGXOATAZAJQMJU2N7ZMD5E5AV6","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":"ef128b169bb4bb2fd2e49284995f60e30b851146970afcec98061c45da43c85f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-16T14:40:48Z","title_canon_sha256":"9b6e499f818a75a04ceedc252b2da1a2f83a22c8f930d56ea631dc89c8d24d7e"},"schema_version":"1.0","source":{"id":"0910.3134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.3134","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"0910.3134v1","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3134","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"XGXOATAZAJQM","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XGXOATAZAJQMJU2N","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XGXOATAZ","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:1bb519c8e65620a71445834636c194f14d7b51e553b3dbf83c9ec99bec8283e2","target":"graph","created_at":"2026-05-18T04:22:40Z","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":"Some features of the global entanglement of a composed quantum system can be quantified in terms of the purity of a balanced bipartition, made up of half of its subsystems. For the given bipartition, purity can always be minimized by taking a suitable (pure) state. When many bipartitions are considered, the requirement that purity be minimal for all bipartitions can engender conflicts and frustration arises. This unearths an interesting link between frustration and multipartite entanglement, defined as the average purity over all (balanced) bipartitions.","authors_text":"G. Florio, G. Parisi, P. Facchi, S. Pascazio, U. Marzolino","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-16T14:40:48Z","title":"Multipartite Entanglement and Frustration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3134","kind":"arxiv","version":1},"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:a5b5a92807d8ad59c25b69b2d7466386e4d36ab01e8f8aee3e0c5390d3cadc81","target":"record","created_at":"2026-05-18T04:22:40Z","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":"ef128b169bb4bb2fd2e49284995f60e30b851146970afcec98061c45da43c85f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-16T14:40:48Z","title_canon_sha256":"9b6e499f818a75a04ceedc252b2da1a2f83a22c8f930d56ea631dc89c8d24d7e"},"schema_version":"1.0","source":{"id":"0910.3134","kind":"arxiv","version":1}},"canonical_sha256":"b9aee04c190260c4d34dfe583e93a0af9db49e6a989595aa1badeb23445dabc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9aee04c190260c4d34dfe583e93a0af9db49e6a989595aa1badeb23445dabc3","first_computed_at":"2026-05-18T04:22:40.492915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:40.492915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TMpMMZYZR1irThmvB/ubvcgdBQp1u6TB4MIIKGaH8nNDKZAMwpdEQWhCLs8p2RsL/7dvIZ7tQb8nPsToqTLZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:40.493336Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.3134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5b5a92807d8ad59c25b69b2d7466386e4d36ab01e8f8aee3e0c5390d3cadc81","sha256:1bb519c8e65620a71445834636c194f14d7b51e553b3dbf83c9ec99bec8283e2"],"state_sha256":"7337b1dddceda23aa39833ce1c67219f722e4b2c0f62881d10bf4b8644fa7922"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZHFbi9HQXRIBbUWS9HByfs4/sa46+iRE4Bqyb9z3vanaEPysRaCwpeO6JMZ4XH1SuhTrYtsO0tDe4XMeprEBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:40:55.804638Z","bundle_sha256":"16c1a36797d7123c8e8e39b5dbdf2424a235ae927b765e98750993aa32481d8a"}}