{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UGLS7F36PHF4GROHMVWTV5KPF6","short_pith_number":"pith:UGLS7F36","canonical_record":{"source":{"id":"1301.1033","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-06T17:58:49Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"34c04421f9fc5cf34810ca2aa90a21b6e8f2b2a0a3a75e0b5fcfd57b1c0cbe4e","abstract_canon_sha256":"31cf2c4f6f819fa89f1f67401a2e9776430c31b027f97f37842e9bd2580e0db3"},"schema_version":"1.0"},"canonical_sha256":"a1972f977e79cbc345c7656d3af54f2facfbd4a305aa313cec950a05e746aa1e","source":{"kind":"arxiv","id":"1301.1033","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1033","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1033v3","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1033","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"pith_short_12","alias_value":"UGLS7F36PHF4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGLS7F36PHF4GROH","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGLS7F36","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UGLS7F36PHF4GROHMVWTV5KPF6","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1033","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-06T17:58:49Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"34c04421f9fc5cf34810ca2aa90a21b6e8f2b2a0a3a75e0b5fcfd57b1c0cbe4e","abstract_canon_sha256":"31cf2c4f6f819fa89f1f67401a2e9776430c31b027f97f37842e9bd2580e0db3"},"schema_version":"1.0"},"canonical_sha256":"a1972f977e79cbc345c7656d3af54f2facfbd4a305aa313cec950a05e746aa1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:01.167810Z","signature_b64":"LO/12sQPSVzLjFkdu5lqbrZgtZhtJh9EaceX59bk0L6kjhOW3adAdJiMJzkF92abzX7zJUmx+QJTK8TCyNNSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1972f977e79cbc345c7656d3af54f2facfbd4a305aa313cec950a05e746aa1e","last_reissued_at":"2026-05-18T03:27:01.167134Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:01.167134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1033","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":"2026-05-18T03:27:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXNhEQcyUaEV8hHpUhyhoBYbNT6g1QonnfeSYfQJ9jlNvG5eILJZDu8PdDm0AXAbJ28LFo+VPHfP/Rissd5ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:22:10.125043Z"},"content_sha256":"de12667ad326f63187c03877390ae58310ded70d88b5f1df4d4cf658243a8aed","schema_version":"1.0","event_id":"sha256:de12667ad326f63187c03877390ae58310ded70d88b5f1df4d4cf658243a8aed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UGLS7F36PHF4GROHMVWTV5KPF6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generic features of the dynamics of complex open quantum systems: Statistical approach based on averages over the unitary group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Heinz-Peter Breuer, Manuel Gessner","submitted_at":"2013-01-06T17:58:49Z","abstract_excerpt":"We obtain exact analytic expressions for a class of functions expressed as integrals over the Haar measure of the unitary group in d dimensions. Based on these general mathematical results, we investigate generic dynamical properties of complex open quantum systems, employing arguments from ensemble theory. We further generalize these results to arbitrary eigenvalue distributions, allowing a detailed comparison of typical regular and chaotic systems with the help of concepts from random matrix theory. To illustrate the physical relevance and the general applicability of our results we present "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1033","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":"2026-05-18T03:27:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rB5ExOCUfQy7rJA/14JvtgNtgEjdSsarYKqXbZO39cadoMep8mS93TjHJvg1LcWqVFz0nzDFl+tXL+ql+2S2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:22:10.125399Z"},"content_sha256":"ce0af1e5d936a19f0ebf4d9673a350986262a7435b55726512e8bd6e6fb08679","schema_version":"1.0","event_id":"sha256:ce0af1e5d936a19f0ebf4d9673a350986262a7435b55726512e8bd6e6fb08679"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGLS7F36PHF4GROHMVWTV5KPF6/bundle.json","state_url":"https://pith.science/pith/UGLS7F36PHF4GROHMVWTV5KPF6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGLS7F36PHF4GROHMVWTV5KPF6/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":"2026-06-05T10:22:10Z","links":{"resolver":"https://pith.science/pith/UGLS7F36PHF4GROHMVWTV5KPF6","bundle":"https://pith.science/pith/UGLS7F36PHF4GROHMVWTV5KPF6/bundle.json","state":"https://pith.science/pith/UGLS7F36PHF4GROHMVWTV5KPF6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGLS7F36PHF4GROHMVWTV5KPF6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UGLS7F36PHF4GROHMVWTV5KPF6","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":"31cf2c4f6f819fa89f1f67401a2e9776430c31b027f97f37842e9bd2580e0db3","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-06T17:58:49Z","title_canon_sha256":"34c04421f9fc5cf34810ca2aa90a21b6e8f2b2a0a3a75e0b5fcfd57b1c0cbe4e"},"schema_version":"1.0","source":{"id":"1301.1033","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1033","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1033v3","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1033","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"pith_short_12","alias_value":"UGLS7F36PHF4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UGLS7F36PHF4GROH","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UGLS7F36","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:ce0af1e5d936a19f0ebf4d9673a350986262a7435b55726512e8bd6e6fb08679","target":"graph","created_at":"2026-05-18T03:27:01Z","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 obtain exact analytic expressions for a class of functions expressed as integrals over the Haar measure of the unitary group in d dimensions. Based on these general mathematical results, we investigate generic dynamical properties of complex open quantum systems, employing arguments from ensemble theory. We further generalize these results to arbitrary eigenvalue distributions, allowing a detailed comparison of typical regular and chaotic systems with the help of concepts from random matrix theory. To illustrate the physical relevance and the general applicability of our results we present ","authors_text":"Heinz-Peter Breuer, Manuel Gessner","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-06T17:58:49Z","title":"Generic features of the dynamics of complex open quantum systems: Statistical approach based on averages over the unitary group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1033","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:de12667ad326f63187c03877390ae58310ded70d88b5f1df4d4cf658243a8aed","target":"record","created_at":"2026-05-18T03:27:01Z","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":"31cf2c4f6f819fa89f1f67401a2e9776430c31b027f97f37842e9bd2580e0db3","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-06T17:58:49Z","title_canon_sha256":"34c04421f9fc5cf34810ca2aa90a21b6e8f2b2a0a3a75e0b5fcfd57b1c0cbe4e"},"schema_version":"1.0","source":{"id":"1301.1033","kind":"arxiv","version":3}},"canonical_sha256":"a1972f977e79cbc345c7656d3af54f2facfbd4a305aa313cec950a05e746aa1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1972f977e79cbc345c7656d3af54f2facfbd4a305aa313cec950a05e746aa1e","first_computed_at":"2026-05-18T03:27:01.167134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:01.167134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LO/12sQPSVzLjFkdu5lqbrZgtZhtJh9EaceX59bk0L6kjhOW3adAdJiMJzkF92abzX7zJUmx+QJTK8TCyNNSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:01.167810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1033","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de12667ad326f63187c03877390ae58310ded70d88b5f1df4d4cf658243a8aed","sha256:ce0af1e5d936a19f0ebf4d9673a350986262a7435b55726512e8bd6e6fb08679"],"state_sha256":"85ca4eafd7a7f4166338b53422c5db0fc13c12f8abb6102503cd21bf48ecccf4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I+agBavE/VQZOPq7WQoawDA+OUuY9LJjvRFZ3/ucdFK5sk4bFBhrP5rMMa92vvJU3rszT/jYZJNLya36Wh4vBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:22:10.127349Z","bundle_sha256":"8d802cd29c19dfcf0a820bab4432f648d18b5930977c7fa38f9b67094f4f84fc"}}