{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OAUYTRDJCWS6PYYOCGF5YHBT7S","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":"d77c4edc9adc53c998726ae16f6ead439d9071a543243a16051570fd00a1f690","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-11-14T18:36:45Z","title_canon_sha256":"9f4c0303c86354500a91195ed9d2a4a27de6976bc469cb0a3c12fb26984557b2"},"schema_version":"1.0","source":{"id":"1111.3317","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3317","created_at":"2026-05-18T04:01:37Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3317v3","created_at":"2026-05-18T04:01:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3317","created_at":"2026-05-18T04:01:37Z"},{"alias_kind":"pith_short_12","alias_value":"OAUYTRDJCWS6","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OAUYTRDJCWS6PYYO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OAUYTRDJ","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:5205a028027c856bc7fa09f972d0e0e4d4e1fe153678693d86d79fb36c25de73","target":"graph","created_at":"2026-05-18T04:01:37Z","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":"Calculating the frequency dependent dielectric function for strongly coupled plasmas, the relations within kinetic theory and linear response theory are derived and discussed in comparison. In this context, we proof the Kohler variational principle for arbitrary frequencies. It can be shown to be a special case of the Zubarev method for the construction of a non-equilibrium statistical operator from the principle of the extremum of entropy. Within kinetic theory, the commonly used energy dependent relaxation time approach is strictly valid only for the Lorentz plasma in the static case. It is ","authors_text":"Gerd R\\\"opke, Heidi Reinholz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-11-14T18:36:45Z","title":"Dielectric function beyond RPA: kinetic theory vs. linear response theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3317","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":"sha256:6e4bd9ba772884b5be4eb397665e3f0f544e1d735b32d8df4fbb1be6839d3a13","target":"record","created_at":"2026-05-18T04:01:37Z","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":"d77c4edc9adc53c998726ae16f6ead439d9071a543243a16051570fd00a1f690","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-11-14T18:36:45Z","title_canon_sha256":"9f4c0303c86354500a91195ed9d2a4a27de6976bc469cb0a3c12fb26984557b2"},"schema_version":"1.0","source":{"id":"1111.3317","kind":"arxiv","version":3}},"canonical_sha256":"702989c46915a5e7e30e118bdc1c33fcb3b8361c2c7335d1c308743ca4d85944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"702989c46915a5e7e30e118bdc1c33fcb3b8361c2c7335d1c308743ca4d85944","first_computed_at":"2026-05-18T04:01:37.830950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:37.830950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ctKOlcGvziaWqC97hMMhS+uOF4qc+kP5pLGUNX9xIC//4UUKW0+qoejL1POg0BAsVqyBRFEaKNcK18lzxMXaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:37.831493Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3317","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e4bd9ba772884b5be4eb397665e3f0f544e1d735b32d8df4fbb1be6839d3a13","sha256:5205a028027c856bc7fa09f972d0e0e4d4e1fe153678693d86d79fb36c25de73"],"state_sha256":"ed3389983c33fb73a06f1aa1fd050540b415b45cbeff129be1eec7052966e639"}