{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZRPKOU7GU3G7MP3OFT3IRACJGQ","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":"22bed09b0e5680b072fdc4cb0db8d260e1807aa2f19ff9ceb8b92d07d7e8ae6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-04-08T10:17:09Z","title_canon_sha256":"9d44a1fe72ecc5506b1a4084b106cfc4b52401bdc6dcb60be69121f98556f94d"},"schema_version":"1.0","source":{"id":"1004.1299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1299","created_at":"2026-05-18T02:08:08Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1299v1","created_at":"2026-05-18T02:08:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1299","created_at":"2026-05-18T02:08:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZRPKOU7GU3G7","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZRPKOU7GU3G7MP3O","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZRPKOU7G","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:693a18b8041356f8d2a2d32a89c14dde5d62ea8a96ecb2f6bf7253c0252d4a1c","target":"graph","created_at":"2026-05-18T02:08:08Z","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"},"paper":{"abstract_excerpt":"The perturbation analysis of the bounce action-angle coordinates $(J,\\zeta)$ for charged particles trapped in an axisymmetric dipole magnetic field is presented. First, the lowest-order bounce action-angle coordinates are derived for deeply-trapped particles in the harmonic-oscillator approximation. Next, the Lie-transform perturbation method is used to derive higher-order anharmonic action-angle corrections. Explicit expressions (with anharmonic corrections) for the canonical parallel coordinates $s(J,\\zeta)$ and $p_{\\|}(J,\\zeta)$ are presented, which satisfy the canonical identity $\\{s,\\; p_","authors_text":"A. J. Brizard, F.-X. Duthoit, J. Decker, Y. Peysson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-04-08T10:17:09Z","title":"Perturbation analysis of trapped-particle dynamics in axisymmetric dipole geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1299","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:e8bb0ec0f4807f815944ce1d21d5ed4d6715a5044dc8b22f3b1a13733917feca","target":"record","created_at":"2026-05-18T02:08:08Z","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":"22bed09b0e5680b072fdc4cb0db8d260e1807aa2f19ff9ceb8b92d07d7e8ae6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-04-08T10:17:09Z","title_canon_sha256":"9d44a1fe72ecc5506b1a4084b106cfc4b52401bdc6dcb60be69121f98556f94d"},"schema_version":"1.0","source":{"id":"1004.1299","kind":"arxiv","version":1}},"canonical_sha256":"cc5ea753e6a6cdf63f6e2cf68880493431a79b091e3ebf1aed7299bdc10905aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc5ea753e6a6cdf63f6e2cf68880493431a79b091e3ebf1aed7299bdc10905aa","first_computed_at":"2026-05-18T02:08:08.053127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:08.053127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Cw8KshRmGvLbU0kqdv8C/Bt8Dk5Hg9YPf/uZedkrBxk/jL9pKseHsL4ORUNHflvGh+Rkb5ZGMF+mZkEqLEaCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:08.053700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8bb0ec0f4807f815944ce1d21d5ed4d6715a5044dc8b22f3b1a13733917feca","sha256:693a18b8041356f8d2a2d32a89c14dde5d62ea8a96ecb2f6bf7253c0252d4a1c"],"state_sha256":"ec2c74bc5f4355967b7b0b09e6035ec800a734949b13b0392fdc8cceb8cd3055"}