{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WLKDRLRC2FWICW7LWQU7LPPSHV","short_pith_number":"pith:WLKDRLRC","canonical_record":{"source":{"id":"1311.6438","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-11-25T20:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"db05908b8667bcc1cdc2ccdf642d51f176482cd066a871bfb1241e05bb60e341","abstract_canon_sha256":"b17589be5ae913b0458109cb193886db25cfaf77f639fed1a9522a2c8fbbf3a3"},"schema_version":"1.0"},"canonical_sha256":"b2d438ae22d16c815bebb429f5bdf23d514aeecc7bbfc4c7487467c14f536c5d","source":{"kind":"arxiv","id":"1311.6438","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6438","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6438v1","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6438","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"WLKDRLRC2FWI","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WLKDRLRC2FWICW7L","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WLKDRLRC","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WLKDRLRC2FWICW7LWQU7LPPSHV","target":"record","payload":{"canonical_record":{"source":{"id":"1311.6438","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-11-25T20:26:03Z","cross_cats_sorted":[],"title_canon_sha256":"db05908b8667bcc1cdc2ccdf642d51f176482cd066a871bfb1241e05bb60e341","abstract_canon_sha256":"b17589be5ae913b0458109cb193886db25cfaf77f639fed1a9522a2c8fbbf3a3"},"schema_version":"1.0"},"canonical_sha256":"b2d438ae22d16c815bebb429f5bdf23d514aeecc7bbfc4c7487467c14f536c5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:06.321267Z","signature_b64":"/sSuT8pKSyklySlEsS42nkBy/XKQcr9hbEgoHQ3iClwQ0gNrk+zS9ZiD6ILn06cxoD3bC11NTlNa7q3vkV0jCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2d438ae22d16c815bebb429f5bdf23d514aeecc7bbfc4c7487467c14f536c5d","last_reissued_at":"2026-05-18T01:46:06.320852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:06.320852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.6438","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":"2026-05-18T01:46:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V2erEM/4cf0GEpkYmAC6u79MVZJ1axgB/gpSsJ6yroR7pg+p5d3EGoVoPfsOSAOfnxktSVmQpzb5ZxzjhWsBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:19:47.117481Z"},"content_sha256":"0aee81f7728e849f1b3f6fc0bb382d8d2aed32d7c54a27ceb39f9fe73a36070b","schema_version":"1.0","event_id":"sha256:0aee81f7728e849f1b3f6fc0bb382d8d2aed32d7c54a27ceb39f9fe73a36070b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WLKDRLRC2FWICW7LWQU7LPPSHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vlasov multi-dimensional model dispersion relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Denis A. Silantyev, Harey A. Rose, Natalia Vladimirova, Pavel M. Lushnikov","submitted_at":"2013-11-25T20:26:03Z","abstract_excerpt":"A hybrid model of the Vlasov equation in multiple spatial dimension $D>1$ [H. A. Rose and W. Daughton, Physics of Plasmas v. 18, 122109 (2011)], the Vlasov multi dimensional model (VMD), consists of standard Vlasov dynamics along a preferred direction, the $z$ direction, and $N$ flows. At each $z$ these flows are in the plane perpendicular to the $z$ axis. They satisfy Eulerian-type hydrodynamics with coupling by self-consistent electric and magnetic fields. Every solution of the VMD is an exact solution of the original Vlasov equation. We show convergence of the VMD Langmuir wave dispersion r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6438","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":"2026-05-18T01:46:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FO8CFwPbDSo1lCMouRtmUsriqnMcu/L/Qz0eZyg7aDA/4NqWnqaU5dlTelXAAqNMwesAczdlFGf9jgRtG9y3Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:19:47.117829Z"},"content_sha256":"e0ed45593f1d4346a2e83d7593e41c7703ea0a5c928225630e1d62fbf7f30cb1","schema_version":"1.0","event_id":"sha256:e0ed45593f1d4346a2e83d7593e41c7703ea0a5c928225630e1d62fbf7f30cb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WLKDRLRC2FWICW7LWQU7LPPSHV/bundle.json","state_url":"https://pith.science/pith/WLKDRLRC2FWICW7LWQU7LPPSHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WLKDRLRC2FWICW7LWQU7LPPSHV/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":"2026-06-12T04:19:47Z","links":{"resolver":"https://pith.science/pith/WLKDRLRC2FWICW7LWQU7LPPSHV","bundle":"https://pith.science/pith/WLKDRLRC2FWICW7LWQU7LPPSHV/bundle.json","state":"https://pith.science/pith/WLKDRLRC2FWICW7LWQU7LPPSHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WLKDRLRC2FWICW7LWQU7LPPSHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WLKDRLRC2FWICW7LWQU7LPPSHV","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":"b17589be5ae913b0458109cb193886db25cfaf77f639fed1a9522a2c8fbbf3a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-11-25T20:26:03Z","title_canon_sha256":"db05908b8667bcc1cdc2ccdf642d51f176482cd066a871bfb1241e05bb60e341"},"schema_version":"1.0","source":{"id":"1311.6438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6438","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6438v1","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6438","created_at":"2026-05-18T01:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"WLKDRLRC2FWI","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WLKDRLRC2FWICW7L","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WLKDRLRC","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:e0ed45593f1d4346a2e83d7593e41c7703ea0a5c928225630e1d62fbf7f30cb1","target":"graph","created_at":"2026-05-18T01:46:06Z","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 hybrid model of the Vlasov equation in multiple spatial dimension $D>1$ [H. A. Rose and W. Daughton, Physics of Plasmas v. 18, 122109 (2011)], the Vlasov multi dimensional model (VMD), consists of standard Vlasov dynamics along a preferred direction, the $z$ direction, and $N$ flows. At each $z$ these flows are in the plane perpendicular to the $z$ axis. They satisfy Eulerian-type hydrodynamics with coupling by self-consistent electric and magnetic fields. Every solution of the VMD is an exact solution of the original Vlasov equation. We show convergence of the VMD Langmuir wave dispersion r","authors_text":"Denis A. Silantyev, Harey A. Rose, Natalia Vladimirova, Pavel M. Lushnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-11-25T20:26:03Z","title":"Vlasov multi-dimensional model dispersion relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6438","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":"sha256:0aee81f7728e849f1b3f6fc0bb382d8d2aed32d7c54a27ceb39f9fe73a36070b","target":"record","created_at":"2026-05-18T01:46:06Z","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":"b17589be5ae913b0458109cb193886db25cfaf77f639fed1a9522a2c8fbbf3a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-11-25T20:26:03Z","title_canon_sha256":"db05908b8667bcc1cdc2ccdf642d51f176482cd066a871bfb1241e05bb60e341"},"schema_version":"1.0","source":{"id":"1311.6438","kind":"arxiv","version":1}},"canonical_sha256":"b2d438ae22d16c815bebb429f5bdf23d514aeecc7bbfc4c7487467c14f536c5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2d438ae22d16c815bebb429f5bdf23d514aeecc7bbfc4c7487467c14f536c5d","first_computed_at":"2026-05-18T01:46:06.320852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:06.320852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/sSuT8pKSyklySlEsS42nkBy/XKQcr9hbEgoHQ3iClwQ0gNrk+zS9ZiD6ILn06cxoD3bC11NTlNa7q3vkV0jCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:06.321267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0aee81f7728e849f1b3f6fc0bb382d8d2aed32d7c54a27ceb39f9fe73a36070b","sha256:e0ed45593f1d4346a2e83d7593e41c7703ea0a5c928225630e1d62fbf7f30cb1"],"state_sha256":"2b1236f70f3de94af9f78fcfeb048e832ac91bd22ce241d92816aa46b2f83c3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8qWs8AR81eKmHEBQqp+gdoiYlcF6g2zw3b7agNKu2jw4VcQocQCkp4lygV95wEK+PvwL9EG9vBOC4inOTkTcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T04:19:47.119869Z","bundle_sha256":"60887107a4fa061289ab6f8d960b11e88d6a281949e627af90c61f06a48f9733"}}