{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RPB3MDXXU4B4SUCAKFDREEVOGF","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":"98b9685c661a955e61be226a6c9e1c9e33ee2d2dce48a25975752823d4fe302e","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-02-01T00:20:18Z","title_canon_sha256":"05991f2641865b89707933f03e0228d56a92050b1c9da227df5db0aa920c3b96"},"schema_version":"1.0","source":{"id":"1102.0045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0045","created_at":"2026-05-18T04:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0045v1","created_at":"2026-05-18T04:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0045","created_at":"2026-05-18T04:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"RPB3MDXXU4B4","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RPB3MDXXU4B4SUCA","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RPB3MDXX","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:f147196a41166c59effef96238e8f79cdf54f01fbfa64d646213bb2197807361","target":"graph","created_at":"2026-05-18T04:20:23Z","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 present a theory for the construction of renormalized kinetic equations to describe the dynamics of classical systems of particles in or out of equilibrium. A closed, self-consistent set of evolution equations is derived for the single-particle phase-space distribution function $f$, the correlation function $C=<\\delta f\\delta f >$, the retarded and advanced density response functions $\\chi^{R,A}=\\delta f/\\delta\\phi$ to an external potential $\\phi$, and the associated memory functions $\\Sigma^{R,A,C}$. The basis of the theory is an effective action functional $\\Omega$ of external potentials ","authors_text":"Jerome Daligault","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-02-01T00:20:18Z","title":"Renormalized kinetic theory of classical fluids in and out of equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0045","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:c96983cf422a50a93563cd5274309aa54f3c18b687a56e0ab6b19ce5162197f0","target":"record","created_at":"2026-05-18T04:20:23Z","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":"98b9685c661a955e61be226a6c9e1c9e33ee2d2dce48a25975752823d4fe302e","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-02-01T00:20:18Z","title_canon_sha256":"05991f2641865b89707933f03e0228d56a92050b1c9da227df5db0aa920c3b96"},"schema_version":"1.0","source":{"id":"1102.0045","kind":"arxiv","version":1}},"canonical_sha256":"8bc3b60ef7a703c9504051471212ae31408a2e3a8d197f05b2f659799b8b81c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bc3b60ef7a703c9504051471212ae31408a2e3a8d197f05b2f659799b8b81c7","first_computed_at":"2026-05-18T04:20:23.166402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:23.166402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EKfkQk/6Ih0jW6Dtcs6zFsapY4CfFBf+Wze5leaTHRdIcqLfS5GsWrofslPW2jwaKaxxHzoqMR5tM3F64Sb4Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:23.166992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c96983cf422a50a93563cd5274309aa54f3c18b687a56e0ab6b19ce5162197f0","sha256:f147196a41166c59effef96238e8f79cdf54f01fbfa64d646213bb2197807361"],"state_sha256":"fdf128709453f8633c4661105c3c8f350a1b01234caa5bef6f5fd1f209256eed"}