{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DNWAC6CWG2CBGKNUCIG2AWOPWM","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":"c458da32826878e2834c954e64c0e3206d8e7c2ec6e71e0143dabe005f07b6a0","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-13T21:04:01Z","title_canon_sha256":"222856913f137bd62e3923632b55f770cee5b1924a7122c9ba8d8266441efa50"},"schema_version":"1.0","source":{"id":"1012.2873","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2873","created_at":"2026-05-18T04:16:53Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2873v2","created_at":"2026-05-18T04:16:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2873","created_at":"2026-05-18T04:16:53Z"},{"alias_kind":"pith_short_12","alias_value":"DNWAC6CWG2CB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DNWAC6CWG2CBGKNU","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DNWAC6CW","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:bad4d074efd946b2e179586d5091906ccb63647e81fcb74fdcc2813193c8aa8a","target":"graph","created_at":"2026-05-18T04:16:53Z","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 a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-Stratonovich dynamical systems). The first part of the paper utilizes a geometric Hilbert-space-invariant formulation of unitary time-evolution, where a quantum Hamiltonian is viewed as a trajectory in an abstract Lie algebra, while the sought-after evolution operator is a trajectory in a dynamic group, generated by the algebra via exponentiation. The evolution operator is uniquely determined by the","authors_text":"Victor Galitski","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-13T21:04:01Z","title":"Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2873","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":"sha256:1935e7add249de19220c7394fe470edb1b3d70965569ecf9ad16a7bac0f6ec25","target":"record","created_at":"2026-05-18T04:16:53Z","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":"c458da32826878e2834c954e64c0e3206d8e7c2ec6e71e0143dabe005f07b6a0","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-12-13T21:04:01Z","title_canon_sha256":"222856913f137bd62e3923632b55f770cee5b1924a7122c9ba8d8266441efa50"},"schema_version":"1.0","source":{"id":"1012.2873","kind":"arxiv","version":2}},"canonical_sha256":"1b6c01785636841329b4120da059cfb3381ca14c3fb42c6bd80b95fdc4ba039d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b6c01785636841329b4120da059cfb3381ca14c3fb42c6bd80b95fdc4ba039d","first_computed_at":"2026-05-18T04:16:53.563767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:53.563767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UZdI+6Jem8xdHXKrI0lTpNNaTHlH3RJ1T7s+maoZ+Cu38+4xrlC2lxGT/J7CbZu/LeEy1Vk5Ionv+NvmQH5IDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:53.564347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2873","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1935e7add249de19220c7394fe470edb1b3d70965569ecf9ad16a7bac0f6ec25","sha256:bad4d074efd946b2e179586d5091906ccb63647e81fcb74fdcc2813193c8aa8a"],"state_sha256":"e04919be49612ebd0094fe323e1caecd7c065fd2e56c646b4f08cba3c457fda5"}