{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DSYIKCAWFPUULS7ZYECPH5WV6C","short_pith_number":"pith:DSYIKCAW","schema_version":"1.0","canonical_sha256":"1cb08508162be945cbf9c104f3f6d5f090e37c632d852253f5c8619b1d1d84df","source":{"kind":"arxiv","id":"1110.6128","version":2},"attestation_state":"computed","paper":{"title":"Classical Hierarchical Correlation Quantification on Tripartite Qubit Mixed State Families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Jos\\'e Roberto Castilho Piqueira, Yuri Campbell","submitted_at":"2011-10-27T16:08:42Z","abstract_excerpt":"There are at least a number of ways to formally define complexity. Most of them relate to some kind of minimal description of the studied object. Being this one in form of minimal resources of minimal effort needed to generate the object itself. This is usually achieved by detecting and taking advantage of regularities within the object. Regularities can commonly be described in an information-theoretic approach by quantifying the amount of correlation playing a role in the system, this being spatial, temporal or both. This is the approach closely related to the extent that the whole cannot be"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1110.6128","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-27T16:08:42Z","cross_cats_sorted":["cs.IT","math.IT","nlin.CD"],"title_canon_sha256":"9c83c341b8b4fe979864aa91aa7df27fcd080cdc8105476d990ef2f0d3559f48","abstract_canon_sha256":"e1c6d4190375323850455e74a0335e8d6582619cd70210b09f8d779bd77cf340"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:21.488609Z","signature_b64":"lMV5+2IjOGjV9X5nAJQc4pBlDNToSKhEf9Ino2vk6J4mbZBWkYS5CVH5HJjgPYNG38H4ZFiF9NM6MYuAT2LGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1cb08508162be945cbf9c104f3f6d5f090e37c632d852253f5c8619b1d1d84df","last_reissued_at":"2026-05-18T03:27:21.487780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:21.487780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical Hierarchical Correlation Quantification on Tripartite Qubit Mixed State Families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","nlin.CD"],"primary_cat":"quant-ph","authors_text":"Jos\\'e Roberto Castilho Piqueira, Yuri Campbell","submitted_at":"2011-10-27T16:08:42Z","abstract_excerpt":"There are at least a number of ways to formally define complexity. Most of them relate to some kind of minimal description of the studied object. Being this one in form of minimal resources of minimal effort needed to generate the object itself. This is usually achieved by detecting and taking advantage of regularities within the object. Regularities can commonly be described in an information-theoretic approach by quantifying the amount of correlation playing a role in the system, this being spatial, temporal or both. This is the approach closely related to the extent that the whole cannot be"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6128","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.6128","created_at":"2026-05-18T03:27:21.487914+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.6128v2","created_at":"2026-05-18T03:27:21.487914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6128","created_at":"2026-05-18T03:27:21.487914+00:00"},{"alias_kind":"pith_short_12","alias_value":"DSYIKCAWFPUU","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DSYIKCAWFPUULS7Z","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DSYIKCAW","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C","json":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C.json","graph_json":"https://pith.science/api/pith-number/DSYIKCAWFPUULS7ZYECPH5WV6C/graph.json","events_json":"https://pith.science/api/pith-number/DSYIKCAWFPUULS7ZYECPH5WV6C/events.json","paper":"https://pith.science/paper/DSYIKCAW"},"agent_actions":{"view_html":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C","download_json":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C.json","view_paper":"https://pith.science/paper/DSYIKCAW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.6128&json=true","fetch_graph":"https://pith.science/api/pith-number/DSYIKCAWFPUULS7ZYECPH5WV6C/graph.json","fetch_events":"https://pith.science/api/pith-number/DSYIKCAWFPUULS7ZYECPH5WV6C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C/action/storage_attestation","attest_author":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C/action/author_attestation","sign_citation":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C/action/citation_signature","submit_replication":"https://pith.science/pith/DSYIKCAWFPUULS7ZYECPH5WV6C/action/replication_record"}},"created_at":"2026-05-18T03:27:21.487914+00:00","updated_at":"2026-05-18T03:27:21.487914+00:00"}