{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:YIXOEGOVYEEZQXRUZ5D7D6H3F2","short_pith_number":"pith:YIXOEGOV","canonical_record":{"source":{"id":"physics/9710034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.plasm-ph","submitted_at":"1997-10-24T12:54:43Z","cross_cats_sorted":["chao-dyn","nlin.CD"],"title_canon_sha256":"ba6d415645d8495b10f7c799b37588c3237d44df542c53adea6c16e36a2eb49d","abstract_canon_sha256":"b4dcd628569527bc83cbffe416779aade757a5fc15b6c85b6b88ce95f440874b"},"schema_version":"1.0"},"canonical_sha256":"c22ee219d5c109985e34cf47f1f8fb2eae111e646b6ede1d1316d19c78a0054a","source":{"kind":"arxiv","id":"physics/9710034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9710034","created_at":"2026-05-18T02:54:31Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9710034v1","created_at":"2026-05-18T02:54:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9710034","created_at":"2026-05-18T02:54:31Z"},{"alias_kind":"pith_short_12","alias_value":"YIXOEGOVYEEZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"YIXOEGOVYEEZQXRU","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"YIXOEGOV","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:YIXOEGOVYEEZQXRUZ5D7D6H3F2","target":"record","payload":{"canonical_record":{"source":{"id":"physics/9710034","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.plasm-ph","submitted_at":"1997-10-24T12:54:43Z","cross_cats_sorted":["chao-dyn","nlin.CD"],"title_canon_sha256":"ba6d415645d8495b10f7c799b37588c3237d44df542c53adea6c16e36a2eb49d","abstract_canon_sha256":"b4dcd628569527bc83cbffe416779aade757a5fc15b6c85b6b88ce95f440874b"},"schema_version":"1.0"},"canonical_sha256":"c22ee219d5c109985e34cf47f1f8fb2eae111e646b6ede1d1316d19c78a0054a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:31.126186Z","signature_b64":"1pAfbxQlU6Hbs3VF9WUPoTHCIK/VV73ssQOT/LC1yP2kBXqOZ6RAgMEvZ+CrmpnUefanLJj8EQGhXnL7zpN6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c22ee219d5c109985e34cf47f1f8fb2eae111e646b6ede1d1316d19c78a0054a","last_reissued_at":"2026-05-18T02:54:31.125657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:31.125657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/9710034","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3WNp9rMsuWEm9K05R9U8e2h0EzH/9yhH3V0/Ug9cVK8md20ayISqBYr17qySR+nOEhA4n2wSNfUItWUHEQIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:45:49.513957Z"},"content_sha256":"d765734fbcd09c2864b12922fe6a9f28f13aa7da30abdad57f627e45ad5059c9","schema_version":"1.0","event_id":"sha256:d765734fbcd09c2864b12922fe6a9f28f13aa7da30abdad57f627e45ad5059c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:YIXOEGOVYEEZQXRUZ5D7D6H3F2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetic limit of N-body description of wave-particle self- consistent interaction","license":"","headline":"","cross_cats":["chao-dyn","nlin.CD"],"primary_cat":"physics.plasm-ph","authors_text":"Marseille), M.C. Firpo, Y. Elskens (Turbulence Plasma CNRS","submitted_at":"1997-10-24T12:54:43Z","abstract_excerpt":"A system of N particles eN=(x1,v1,...,xN,vN) interacting self-consistently with M waves Zn=An*exp(iTn) is considered. Hamiltonian dynamics transports initial data (eN(0),Zn(0)) to (eN(t),Zn(t)). In the limit of an infinite number of particles, a Vlasov-like kinetic equation is generated for the distribution function f(x,v,t), coupled to envelope equations for the M waves. Any initial data (f(0),Z(0)) with finite energy is transported to a unique (f(t),Z(t)). Moreover, for any time T>0, given a sequence of initial data with N particles distributed so that the particle distribution fN(0)-->f(O) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9710034","kind":"arxiv","version":1},"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":"2026-05-18T02:54:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tdp4+nntUvrEhdoZafCotFm5ZT2UdXM2t50kVZECGrL7BROS4uwjN5CNvulduU9ZXOdDZqinr7NIheF5wsqeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:45:49.514704Z"},"content_sha256":"7e24eafc42a7a7a88a7b86cf3d16f19e9ec076a9bc507804565f5dc2ccb21a00","schema_version":"1.0","event_id":"sha256:7e24eafc42a7a7a88a7b86cf3d16f19e9ec076a9bc507804565f5dc2ccb21a00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2/bundle.json","state_url":"https://pith.science/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2/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":"2026-06-09T07:45:49Z","links":{"resolver":"https://pith.science/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2","bundle":"https://pith.science/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2/bundle.json","state":"https://pith.science/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YIXOEGOVYEEZQXRUZ5D7D6H3F2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:YIXOEGOVYEEZQXRUZ5D7D6H3F2","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":"b4dcd628569527bc83cbffe416779aade757a5fc15b6c85b6b88ce95f440874b","cross_cats_sorted":["chao-dyn","nlin.CD"],"license":"","primary_cat":"physics.plasm-ph","submitted_at":"1997-10-24T12:54:43Z","title_canon_sha256":"ba6d415645d8495b10f7c799b37588c3237d44df542c53adea6c16e36a2eb49d"},"schema_version":"1.0","source":{"id":"physics/9710034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9710034","created_at":"2026-05-18T02:54:31Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9710034v1","created_at":"2026-05-18T02:54:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9710034","created_at":"2026-05-18T02:54:31Z"},{"alias_kind":"pith_short_12","alias_value":"YIXOEGOVYEEZ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"YIXOEGOVYEEZQXRU","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"YIXOEGOV","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:7e24eafc42a7a7a88a7b86cf3d16f19e9ec076a9bc507804565f5dc2ccb21a00","target":"graph","created_at":"2026-05-18T02:54:31Z","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":"A system of N particles eN=(x1,v1,...,xN,vN) interacting self-consistently with M waves Zn=An*exp(iTn) is considered. Hamiltonian dynamics transports initial data (eN(0),Zn(0)) to (eN(t),Zn(t)). In the limit of an infinite number of particles, a Vlasov-like kinetic equation is generated for the distribution function f(x,v,t), coupled to envelope equations for the M waves. Any initial data (f(0),Z(0)) with finite energy is transported to a unique (f(t),Z(t)). Moreover, for any time T>0, given a sequence of initial data with N particles distributed so that the particle distribution fN(0)-->f(O) ","authors_text":"Marseille), M.C. Firpo, Y. Elskens (Turbulence Plasma CNRS","cross_cats":["chao-dyn","nlin.CD"],"headline":"","license":"","primary_cat":"physics.plasm-ph","submitted_at":"1997-10-24T12:54:43Z","title":"Kinetic limit of N-body description of wave-particle self- consistent interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9710034","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:d765734fbcd09c2864b12922fe6a9f28f13aa7da30abdad57f627e45ad5059c9","target":"record","created_at":"2026-05-18T02:54:31Z","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":"b4dcd628569527bc83cbffe416779aade757a5fc15b6c85b6b88ce95f440874b","cross_cats_sorted":["chao-dyn","nlin.CD"],"license":"","primary_cat":"physics.plasm-ph","submitted_at":"1997-10-24T12:54:43Z","title_canon_sha256":"ba6d415645d8495b10f7c799b37588c3237d44df542c53adea6c16e36a2eb49d"},"schema_version":"1.0","source":{"id":"physics/9710034","kind":"arxiv","version":1}},"canonical_sha256":"c22ee219d5c109985e34cf47f1f8fb2eae111e646b6ede1d1316d19c78a0054a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c22ee219d5c109985e34cf47f1f8fb2eae111e646b6ede1d1316d19c78a0054a","first_computed_at":"2026-05-18T02:54:31.125657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:31.125657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1pAfbxQlU6Hbs3VF9WUPoTHCIK/VV73ssQOT/LC1yP2kBXqOZ6RAgMEvZ+CrmpnUefanLJj8EQGhXnL7zpN6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:31.126186Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/9710034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d765734fbcd09c2864b12922fe6a9f28f13aa7da30abdad57f627e45ad5059c9","sha256:7e24eafc42a7a7a88a7b86cf3d16f19e9ec076a9bc507804565f5dc2ccb21a00"],"state_sha256":"1c563269a0fbb7af0cfe9979aac663d7e8242a003d79f3158448d21953dce9dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k46xKrNRMJpb8Wcn27CA+fFL/cZhErYPYsIYm+OJK9pwI3pXziEEHln0ARsP32l0bwJJ+mJvG41DEtOAZXQgAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:45:49.518614Z","bundle_sha256":"fc7cfedb09057b4c4ccb5fb01038adb2907f7c23d2a3961654bd172116062f89"}}