{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:57CWYWY6AUSCR42OHJW34EOMRE","short_pith_number":"pith:57CWYWY6","canonical_record":{"source":{"id":"1506.08537","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-29T08:15:01Z","cross_cats_sorted":[],"title_canon_sha256":"c09b7edea722e7dbbabf73d3a20b3ce85b8d482f0c764e8b04f05ec6cbf07a40","abstract_canon_sha256":"ecf9bc08f538524736c768591e0dbf6548a39c99d6e8d4fd4e5ec9bd3c0b3710"},"schema_version":"1.0"},"canonical_sha256":"efc56c5b1e052428f34e3a6dbe11cc89105e26e129644ed110efa4b68384f86f","source":{"kind":"arxiv","id":"1506.08537","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08537","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08537v2","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08537","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"57CWYWY6AUSC","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"57CWYWY6AUSCR42O","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"57CWYWY6","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:57CWYWY6AUSCR42OHJW34EOMRE","target":"record","payload":{"canonical_record":{"source":{"id":"1506.08537","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-29T08:15:01Z","cross_cats_sorted":[],"title_canon_sha256":"c09b7edea722e7dbbabf73d3a20b3ce85b8d482f0c764e8b04f05ec6cbf07a40","abstract_canon_sha256":"ecf9bc08f538524736c768591e0dbf6548a39c99d6e8d4fd4e5ec9bd3c0b3710"},"schema_version":"1.0"},"canonical_sha256":"efc56c5b1e052428f34e3a6dbe11cc89105e26e129644ed110efa4b68384f86f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:01.420793Z","signature_b64":"/Gbu6ty4kwi4pyc2lt3DfFyeC1Iao9OhtEVOqeCBV86JlxiY9G0FXKZ1souxIEC4cEeXyzhMXVhBneiMlz9TDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efc56c5b1e052428f34e3a6dbe11cc89105e26e129644ed110efa4b68384f86f","last_reissued_at":"2026-05-18T00:40:01.420301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:01.420301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.08537","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PQC0LUe22F7I5zMRuT+4GQicliJS/u1FQQb2bB6ZBByV+ZweHknW5ucp6tMIktrqrgFJKWx7wM2mZrU9scFWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:13:30.282277Z"},"content_sha256":"812485abf87b2f6451625d072ce6e42aa81207c8df30c37e6e8bdf96ecc2d9c8","schema_version":"1.0","event_id":"sha256:812485abf87b2f6451625d072ce6e42aa81207c8df30c37e6e8bdf96ecc2d9c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:57CWYWY6AUSCR42OHJW34EOMRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Daniel Han-Kwan, Toan T. Nguyen","submitted_at":"2015-06-29T08:15:01Z","abstract_excerpt":"We study the instability of solutions to the relativistic Vlasov-Maxwell systems in two limiting regimes: the classical limit when the speed of light tends to infinity and the quasineutral limit when the Debye length tends to zero. First, in the classical limit $\\varepsilon \\to 0$, with $\\varepsilon$ being the inverse of the speed of light, we construct a family of solutions that converge initially polynomially fast to a homogeneous solution $\\mu$ of Vlasov-Poisson in arbitrarily high Sobolev norms, but become of order one away from $\\mu$ in arbitrary negative Sobolev norms within time of orde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08537","kind":"arxiv","version":2},"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":"2026-05-18T00:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jRPVVekG8Q5YkDJt7a8+PdMQk8G4xtj2M34U7E3C6PpNYgS407bI+dlFLUT8UHeE3bEIyxx/D62Q6nvF81CFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:13:30.282632Z"},"content_sha256":"68192af2ea4314199a506850fc85fca10552416ca57a5b6b97e64e8a463a6d9b","schema_version":"1.0","event_id":"sha256:68192af2ea4314199a506850fc85fca10552416ca57a5b6b97e64e8a463a6d9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57CWYWY6AUSCR42OHJW34EOMRE/bundle.json","state_url":"https://pith.science/pith/57CWYWY6AUSCR42OHJW34EOMRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57CWYWY6AUSCR42OHJW34EOMRE/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":"2026-06-26T13:13:30Z","links":{"resolver":"https://pith.science/pith/57CWYWY6AUSCR42OHJW34EOMRE","bundle":"https://pith.science/pith/57CWYWY6AUSCR42OHJW34EOMRE/bundle.json","state":"https://pith.science/pith/57CWYWY6AUSCR42OHJW34EOMRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57CWYWY6AUSCR42OHJW34EOMRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:57CWYWY6AUSCR42OHJW34EOMRE","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":"ecf9bc08f538524736c768591e0dbf6548a39c99d6e8d4fd4e5ec9bd3c0b3710","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-29T08:15:01Z","title_canon_sha256":"c09b7edea722e7dbbabf73d3a20b3ce85b8d482f0c764e8b04f05ec6cbf07a40"},"schema_version":"1.0","source":{"id":"1506.08537","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08537","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08537v2","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08537","created_at":"2026-05-18T00:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"57CWYWY6AUSC","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"57CWYWY6AUSCR42O","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"57CWYWY6","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:68192af2ea4314199a506850fc85fca10552416ca57a5b6b97e64e8a463a6d9b","target":"graph","created_at":"2026-05-18T00:40:01Z","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":"We study the instability of solutions to the relativistic Vlasov-Maxwell systems in two limiting regimes: the classical limit when the speed of light tends to infinity and the quasineutral limit when the Debye length tends to zero. First, in the classical limit $\\varepsilon \\to 0$, with $\\varepsilon$ being the inverse of the speed of light, we construct a family of solutions that converge initially polynomially fast to a homogeneous solution $\\mu$ of Vlasov-Poisson in arbitrarily high Sobolev norms, but become of order one away from $\\mu$ in arbitrary negative Sobolev norms within time of orde","authors_text":"Daniel Han-Kwan, Toan T. Nguyen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-29T08:15:01Z","title":"Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08537","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":"sha256:812485abf87b2f6451625d072ce6e42aa81207c8df30c37e6e8bdf96ecc2d9c8","target":"record","created_at":"2026-05-18T00:40:01Z","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":"ecf9bc08f538524736c768591e0dbf6548a39c99d6e8d4fd4e5ec9bd3c0b3710","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-29T08:15:01Z","title_canon_sha256":"c09b7edea722e7dbbabf73d3a20b3ce85b8d482f0c764e8b04f05ec6cbf07a40"},"schema_version":"1.0","source":{"id":"1506.08537","kind":"arxiv","version":2}},"canonical_sha256":"efc56c5b1e052428f34e3a6dbe11cc89105e26e129644ed110efa4b68384f86f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efc56c5b1e052428f34e3a6dbe11cc89105e26e129644ed110efa4b68384f86f","first_computed_at":"2026-05-18T00:40:01.420301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:01.420301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Gbu6ty4kwi4pyc2lt3DfFyeC1Iao9OhtEVOqeCBV86JlxiY9G0FXKZ1souxIEC4cEeXyzhMXVhBneiMlz9TDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:01.420793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08537","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:812485abf87b2f6451625d072ce6e42aa81207c8df30c37e6e8bdf96ecc2d9c8","sha256:68192af2ea4314199a506850fc85fca10552416ca57a5b6b97e64e8a463a6d9b"],"state_sha256":"0fd0e557deeba0d568f94275fad73e928feb4ab497f5f80a3db4d0699ad89889"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3t5GIg6Omk4B6Wg2r298ClZ2z8nZ1TdxqP33dcye8uXru3bPeLK0cQ2ASVIRKjY5HeDEfhZAurnXAJ+QDX1Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:13:30.284609Z","bundle_sha256":"3f64e7d0558e56767f9e41d06e904ded88b11192af445e9fee97b64dd21c9350"}}