{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:EXA5CSQSVKUP5AZA4AEJ7GXZCK","short_pith_number":"pith:EXA5CSQS","canonical_record":{"source":{"id":"2412.18620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-12-16T12:48:10Z","cross_cats_sorted":["math-ph","math.MP","physics.plasm-ph"],"title_canon_sha256":"a055ad86f7eaf8ecd890c30ecb4b794629847e344492ed0c9e352412fc29c8b6","abstract_canon_sha256":"ef2219d9902e248783e17f5c15348682917f2f9f881438185d925b7e556a1e5e"},"schema_version":"1.0"},"canonical_sha256":"25c1d14a12aaa8fe8320e0089f9af912968267212e426ba67d0388b19d3cef49","source":{"kind":"arxiv","id":"2412.18620","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.18620","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"arxiv_version","alias_value":"2412.18620v1","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18620","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"pith_short_12","alias_value":"EXA5CSQSVKUP","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"pith_short_16","alias_value":"EXA5CSQSVKUP5AZA","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"pith_short_8","alias_value":"EXA5CSQS","created_at":"2026-07-05T09:54:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:EXA5CSQSVKUP5AZA4AEJ7GXZCK","target":"record","payload":{"canonical_record":{"source":{"id":"2412.18620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-12-16T12:48:10Z","cross_cats_sorted":["math-ph","math.MP","physics.plasm-ph"],"title_canon_sha256":"a055ad86f7eaf8ecd890c30ecb4b794629847e344492ed0c9e352412fc29c8b6","abstract_canon_sha256":"ef2219d9902e248783e17f5c15348682917f2f9f881438185d925b7e556a1e5e"},"schema_version":"1.0"},"canonical_sha256":"25c1d14a12aaa8fe8320e0089f9af912968267212e426ba67d0388b19d3cef49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:08.155274Z","signature_b64":"OJVH8EymopVGI4UZ8EFXRllx+OZVTYtosAIdxdtodir7rrm0sLqbNZg/b2FZ4P1t0gXtJMa/+VQK2Zg9z884BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25c1d14a12aaa8fe8320e0089f9af912968267212e426ba67d0388b19d3cef49","last_reissued_at":"2026-07-05T09:54:08.154848Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:08.154848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.18620","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":"2026-07-05T09:54:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h7/2Eer4NTGKrQNqEGkcJVhRNlM7iai5yXtTGE5tEbeQ4kUvTlEQTiwgYd5WLYgvxxYN8aRs8l8tNVoZd1fjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T00:48:28.475892Z"},"content_sha256":"f6bfcdda933b6ac6683feb04e27453c4a8891de1286a6c704a2d69fa2d716492","schema_version":"1.0","event_id":"sha256:f6bfcdda933b6ac6683feb04e27453c4a8891de1286a6c704a2d69fa2d716492"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:EXA5CSQSVKUP5AZA4AEJ7GXZCK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Landau damping below survival threshold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.plasm-ph"],"primary_cat":"math.AP","authors_text":"Toan T. Nguyen","submitted_at":"2024-12-16T12:48:10Z","abstract_excerpt":"In this paper, we establish nonlinear Landau damping below survival threshold for collisionless charged particles following the meanfield Vlasov theory near general radial equilibria. In absence of collisions, the long-range Coulomb pair interaction between particles self-consistently gives rise to oscillations, known in the physical literature as plasma oscillations or Langmuir's oscillatory waves, that disperse in space like a Klein-Gordon's dispersive wave. As a matter of fact, there is a non-trivial survival threshold of wave numbers that characterizes the large time dynamics of a plasma: "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18620","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.18620/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:54:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfu0VZBNCCgR+P0JNCzN9vNTZ/PIu/+i1uyNed7Zepaw1MzGXK2+7iTC/+HRICJ/wvYspFlSwCixNkjUkCcPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T00:48:28.476504Z"},"content_sha256":"7a19e356c52cb1da0a37ef875c61ed5f2bb7810605346a1dcd5f05626defac2f","schema_version":"1.0","event_id":"sha256:7a19e356c52cb1da0a37ef875c61ed5f2bb7810605346a1dcd5f05626defac2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK/bundle.json","state_url":"https://pith.science/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK/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":"2026-08-10T00:48:28Z","links":{"resolver":"https://pith.science/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK","bundle":"https://pith.science/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK/bundle.json","state":"https://pith.science/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXA5CSQSVKUP5AZA4AEJ7GXZCK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EXA5CSQSVKUP5AZA4AEJ7GXZCK","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":"ef2219d9902e248783e17f5c15348682917f2f9f881438185d925b7e556a1e5e","cross_cats_sorted":["math-ph","math.MP","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-12-16T12:48:10Z","title_canon_sha256":"a055ad86f7eaf8ecd890c30ecb4b794629847e344492ed0c9e352412fc29c8b6"},"schema_version":"1.0","source":{"id":"2412.18620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.18620","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"arxiv_version","alias_value":"2412.18620v1","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18620","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"pith_short_12","alias_value":"EXA5CSQSVKUP","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"pith_short_16","alias_value":"EXA5CSQSVKUP5AZA","created_at":"2026-07-05T09:54:08Z"},{"alias_kind":"pith_short_8","alias_value":"EXA5CSQS","created_at":"2026-07-05T09:54:08Z"}],"graph_snapshots":[{"event_id":"sha256:7a19e356c52cb1da0a37ef875c61ed5f2bb7810605346a1dcd5f05626defac2f","target":"graph","created_at":"2026-07-05T09:54:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.18620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we establish nonlinear Landau damping below survival threshold for collisionless charged particles following the meanfield Vlasov theory near general radial equilibria. In absence of collisions, the long-range Coulomb pair interaction between particles self-consistently gives rise to oscillations, known in the physical literature as plasma oscillations or Langmuir's oscillatory waves, that disperse in space like a Klein-Gordon's dispersive wave. As a matter of fact, there is a non-trivial survival threshold of wave numbers that characterizes the large time dynamics of a plasma: ","authors_text":"Toan T. Nguyen","cross_cats":["math-ph","math.MP","physics.plasm-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-12-16T12:48:10Z","title":"Landau damping below survival threshold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18620","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:f6bfcdda933b6ac6683feb04e27453c4a8891de1286a6c704a2d69fa2d716492","target":"record","created_at":"2026-07-05T09:54:08Z","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":"ef2219d9902e248783e17f5c15348682917f2f9f881438185d925b7e556a1e5e","cross_cats_sorted":["math-ph","math.MP","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-12-16T12:48:10Z","title_canon_sha256":"a055ad86f7eaf8ecd890c30ecb4b794629847e344492ed0c9e352412fc29c8b6"},"schema_version":"1.0","source":{"id":"2412.18620","kind":"arxiv","version":1}},"canonical_sha256":"25c1d14a12aaa8fe8320e0089f9af912968267212e426ba67d0388b19d3cef49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25c1d14a12aaa8fe8320e0089f9af912968267212e426ba67d0388b19d3cef49","first_computed_at":"2026-07-05T09:54:08.154848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:54:08.154848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OJVH8EymopVGI4UZ8EFXRllx+OZVTYtosAIdxdtodir7rrm0sLqbNZg/b2FZ4P1t0gXtJMa/+VQK2Zg9z884BA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:54:08.155274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.18620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6bfcdda933b6ac6683feb04e27453c4a8891de1286a6c704a2d69fa2d716492","sha256:7a19e356c52cb1da0a37ef875c61ed5f2bb7810605346a1dcd5f05626defac2f"],"state_sha256":"95c7bb26704a35fbc153bc9605cdd3da1fc75752fb39d33abfa6b6773fecfe0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eKdOVO4m/7lntQSV4ln2J8I9OVZ7kk3mMjdw2PtuIX+VIf9my12tTjTMIXJeer6z+AMKa4+UN1fpip8tTYYRAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T00:48:28.483546Z","bundle_sha256":"65b6ba78aa4f419c89c17d880e6c5164f7f39f3e4c58ec8ae00e193c3ccff1a8"}}