{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UQMS53TUXIH6XPHWX3MQ5XJD5J","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":"07d0e55cb3b9ef05285d202ec12ec4f16bc20c1089269598cf676c894f698915","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-03-01T07:13:23Z","title_canon_sha256":"1feab2240e95e8bba183c6da6690087b05a5707f5803ca679b6035433e4a03e4"},"schema_version":"1.0","source":{"id":"1403.0056","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0056","created_at":"2026-05-18T01:44:21Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0056v2","created_at":"2026-05-18T01:44:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0056","created_at":"2026-05-18T01:44:21Z"},{"alias_kind":"pith_short_12","alias_value":"UQMS53TUXIH6","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UQMS53TUXIH6XPHW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UQMS53TU","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:62c24e1f432f201e930d2c76cf90d61f46c274ccd89a36661090d990ed8f0e88","target":"graph","created_at":"2026-05-18T01:44:21Z","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":"Difficulties in founding microscopically the Vlasov equation for Coulomb-interacting particles are recalled for both the statistical approach (BBGKY hierarchy and Liouville equation on phase space) and the dynamical approach (single empirical measure on one-particle $(\\mathbf{r},\\mathbf{v})$-space). The role of particle trajectories (characteristics) in the analysis of the partial differential Vlasov--Poisson system is stressed. Starting from many-body dynamics, a direct derivation of both Debye shielding and collective behaviour is sketched.","authors_text":"D. F. Escande (PIIM), Fabrice Doveil (PIIM), Yves Elskens (PIIM)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-03-01T07:13:23Z","title":"Vlasov equation and $N$-body dynamics - How central is particle dynamics to our understanding of plasmas?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0056","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:f431c7287fff7af3b8d1e5c1fd8a737213de925aa3f95167cd22321a463bd56c","target":"record","created_at":"2026-05-18T01:44:21Z","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":"07d0e55cb3b9ef05285d202ec12ec4f16bc20c1089269598cf676c894f698915","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-03-01T07:13:23Z","title_canon_sha256":"1feab2240e95e8bba183c6da6690087b05a5707f5803ca679b6035433e4a03e4"},"schema_version":"1.0","source":{"id":"1403.0056","kind":"arxiv","version":2}},"canonical_sha256":"a4192eee74ba0febbcf6bed90edd23ea45e32ff53f206cad93ead4ab3e0e2d01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4192eee74ba0febbcf6bed90edd23ea45e32ff53f206cad93ead4ab3e0e2d01","first_computed_at":"2026-05-18T01:44:21.625036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:21.625036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wjo+/zElodm9ZUTIPo3al1w2Vt6+ebTc/gb5DMFebE4XmNldCyUS/jQXFMyE883IAQBgawlhzyIDddI4ew5VDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:21.625515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0056","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f431c7287fff7af3b8d1e5c1fd8a737213de925aa3f95167cd22321a463bd56c","sha256:62c24e1f432f201e930d2c76cf90d61f46c274ccd89a36661090d990ed8f0e88"],"state_sha256":"928272894654fe0e2b80cda8f7daa60487e2ad6c8d1fb773d5c4b14760c3f6f7"}