{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZUH6JDVDI7OETZF5WNZYNVE32M","short_pith_number":"pith:ZUH6JDVD","canonical_record":{"source":{"id":"1207.4356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-07-18T12:23:35Z","cross_cats_sorted":[],"title_canon_sha256":"5e11ee5b46d617f23f0444c53849602df51566ac11b1a68d7d81f12a0d198bf1","abstract_canon_sha256":"df846923af01e1d2934e03fe9b523ee22b6dd9171f933adbec3478a2694eaaf6"},"schema_version":"1.0"},"canonical_sha256":"cd0fe48ea347dc49e4bdb37386d49bd32286719fc5aae460ed1d7f0e44fae55e","source":{"kind":"arxiv","id":"1207.4356","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4356","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4356v1","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4356","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"ZUH6JDVDI7OE","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZUH6JDVDI7OETZF5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZUH6JDVD","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZUH6JDVDI7OETZF5WNZYNVE32M","target":"record","payload":{"canonical_record":{"source":{"id":"1207.4356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-07-18T12:23:35Z","cross_cats_sorted":[],"title_canon_sha256":"5e11ee5b46d617f23f0444c53849602df51566ac11b1a68d7d81f12a0d198bf1","abstract_canon_sha256":"df846923af01e1d2934e03fe9b523ee22b6dd9171f933adbec3478a2694eaaf6"},"schema_version":"1.0"},"canonical_sha256":"cd0fe48ea347dc49e4bdb37386d49bd32286719fc5aae460ed1d7f0e44fae55e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:58.455824Z","signature_b64":"htHffNR6l+11rbE+HnNAJB1cNfUGBvi2xfxc784QvH43N9ZOlNJ3BnG2DIHSAwob9DajD27DfcEXPd9Jo9W0Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd0fe48ea347dc49e4bdb37386d49bd32286719fc5aae460ed1d7f0e44fae55e","last_reissued_at":"2026-05-18T03:41:58.455217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:58.455217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.4356","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":"2026-05-18T03:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z1X4QPBVXrQIaRhVUyxk3ZOIs+XJWdvwpmV6OdTNsBo72nTtprbMXo3Gk4JyE996m+CGlf7sIavumRSxcxGpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:26:17.754908Z"},"content_sha256":"fe40ef4cb0323e665f9ed635d8b853fba2d058d5c8f21a491479353b2af4a22a","schema_version":"1.0","event_id":"sha256:fe40ef4cb0323e665f9ed635d8b853fba2d058d5c8f21a491479353b2af4a22a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZUH6JDVDI7OETZF5WNZYNVE32M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comment on \"Geometric phase of the gyromotion for charged particles in a time-dependent magnetic field\" [Phys. Plasmas 18, 072505 (2011)]","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Alain Brizard, Lo\\\"ic De Guillebon (CPT)","submitted_at":"2012-07-18T12:23:35Z","abstract_excerpt":"The geometric analysis of the gyromotion for charged particles in a time-dependent magnetic field by J. Liu and H. Qin [Phys. Plasmas 18, 072505 (2011)] is reformulated in terms of the spatial angles that represent the instantaneous orientation of the magnetic field. This new formulation, which includes the equation of motion for the pitch angle, clarifies the decomposition of the gyroangle-averaged equation of motion for the gyrophase into its dynamic and geometric contributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4356","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":"2026-05-18T03:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UjVbXr/3JQc/heBNLdtDvL0kVIUjwc9sVinVzW1vEFLrdsUvcLSOIkSI74BY8XGKVh4FNI/E5nDrcYbjMbalDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:26:17.755697Z"},"content_sha256":"b62fc9b563baa3b1b4ab8d2d719d58188b44948ab568612256293d7c71c9d2f9","schema_version":"1.0","event_id":"sha256:b62fc9b563baa3b1b4ab8d2d719d58188b44948ab568612256293d7c71c9d2f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZUH6JDVDI7OETZF5WNZYNVE32M/bundle.json","state_url":"https://pith.science/pith/ZUH6JDVDI7OETZF5WNZYNVE32M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZUH6JDVDI7OETZF5WNZYNVE32M/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":"2026-06-10T05:26:17Z","links":{"resolver":"https://pith.science/pith/ZUH6JDVDI7OETZF5WNZYNVE32M","bundle":"https://pith.science/pith/ZUH6JDVDI7OETZF5WNZYNVE32M/bundle.json","state":"https://pith.science/pith/ZUH6JDVDI7OETZF5WNZYNVE32M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZUH6JDVDI7OETZF5WNZYNVE32M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZUH6JDVDI7OETZF5WNZYNVE32M","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":"df846923af01e1d2934e03fe9b523ee22b6dd9171f933adbec3478a2694eaaf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-07-18T12:23:35Z","title_canon_sha256":"5e11ee5b46d617f23f0444c53849602df51566ac11b1a68d7d81f12a0d198bf1"},"schema_version":"1.0","source":{"id":"1207.4356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4356","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4356v1","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4356","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"ZUH6JDVDI7OE","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZUH6JDVDI7OETZF5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZUH6JDVD","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:b62fc9b563baa3b1b4ab8d2d719d58188b44948ab568612256293d7c71c9d2f9","target":"graph","created_at":"2026-05-18T03:41:58Z","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 geometric analysis of the gyromotion for charged particles in a time-dependent magnetic field by J. Liu and H. Qin [Phys. Plasmas 18, 072505 (2011)] is reformulated in terms of the spatial angles that represent the instantaneous orientation of the magnetic field. This new formulation, which includes the equation of motion for the pitch angle, clarifies the decomposition of the gyroangle-averaged equation of motion for the gyrophase into its dynamic and geometric contributions.","authors_text":"Alain Brizard, Lo\\\"ic De Guillebon (CPT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-07-18T12:23:35Z","title":"Comment on \"Geometric phase of the gyromotion for charged particles in a time-dependent magnetic field\" [Phys. Plasmas 18, 072505 (2011)]"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4356","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:fe40ef4cb0323e665f9ed635d8b853fba2d058d5c8f21a491479353b2af4a22a","target":"record","created_at":"2026-05-18T03:41:58Z","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":"df846923af01e1d2934e03fe9b523ee22b6dd9171f933adbec3478a2694eaaf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-07-18T12:23:35Z","title_canon_sha256":"5e11ee5b46d617f23f0444c53849602df51566ac11b1a68d7d81f12a0d198bf1"},"schema_version":"1.0","source":{"id":"1207.4356","kind":"arxiv","version":1}},"canonical_sha256":"cd0fe48ea347dc49e4bdb37386d49bd32286719fc5aae460ed1d7f0e44fae55e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd0fe48ea347dc49e4bdb37386d49bd32286719fc5aae460ed1d7f0e44fae55e","first_computed_at":"2026-05-18T03:41:58.455217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:58.455217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"htHffNR6l+11rbE+HnNAJB1cNfUGBvi2xfxc784QvH43N9ZOlNJ3BnG2DIHSAwob9DajD27DfcEXPd9Jo9W0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:58.455824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe40ef4cb0323e665f9ed635d8b853fba2d058d5c8f21a491479353b2af4a22a","sha256:b62fc9b563baa3b1b4ab8d2d719d58188b44948ab568612256293d7c71c9d2f9"],"state_sha256":"16b0ee130df2a6fc6b40713210942f08314b9d4561fa0122d4ca9de5fa1650fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0p1EMacfY/Di9qwIH0/yiIz7Jp57SzQGM9kYAYqypasRSZOhUXoYsnM8E6OEW5ocDvMjr60DTEd+7iYs10t3AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:26:17.760372Z","bundle_sha256":"b17dce06b722b563b7894da9f78ef5700ba85bc6f4c3a39485c71863038012fd"}}