{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MJRQTSFR5V6QTQCB4GJJU24IDA","short_pith_number":"pith:MJRQTSFR","schema_version":"1.0","canonical_sha256":"626309c8b1ed7d09c041e1929a6b88182e3e5c837a388334c94cfea762e373b4","source":{"kind":"arxiv","id":"2408.05919","version":2},"attestation_state":"computed","paper":{"title":"Guiding-centre Lagrangian and quasi-symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","physics.geo-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Ted Jacobson","submitted_at":"2024-08-12T04:47:17Z","abstract_excerpt":"A charged particle in a suitably strong magnetic field spirals along the field lines while slowly drifting transversely. This note provides a brief derivation of an effective Lagrangian formulation for the guiding-centre approximation that captures this dynamics without resolving the gyro motion. It also explains how the effective Lagrangian may, for special magnetic fields, admit a 'quasi-symmetry' which can give rise to a conserved quantity helpful for plasma confinement in fields lacking a geometric isometry. The aim of this note is to offer a pedagogical introduction and some perspectives "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2408.05919","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.plasm-ph","submitted_at":"2024-08-12T04:47:17Z","cross_cats_sorted":["hep-th","math-ph","math.MP","physics.geo-ph"],"title_canon_sha256":"7cefd2a9a5d045873a6a74bc360f9b57ba4171fa5547e7aeeb498ced14244b23","abstract_canon_sha256":"269f539efa8eb1b3b8ef6b23ce4091783f45b693b4ff24bf7ce75b7e73e99884"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:43:00.641575Z","signature_b64":"C/mPktba4HchEbHuTB802D7q5+wxiedrsr/4SOXbVGvoqMqBsXTyC7iFLx4oBmLZO3KOT49UnQTx9himvfLAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"626309c8b1ed7d09c041e1929a6b88182e3e5c837a388334c94cfea762e373b4","last_reissued_at":"2026-07-05T10:43:00.641016Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:43:00.641016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Guiding-centre Lagrangian and quasi-symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","physics.geo-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Ted Jacobson","submitted_at":"2024-08-12T04:47:17Z","abstract_excerpt":"A charged particle in a suitably strong magnetic field spirals along the field lines while slowly drifting transversely. This note provides a brief derivation of an effective Lagrangian formulation for the guiding-centre approximation that captures this dynamics without resolving the gyro motion. It also explains how the effective Lagrangian may, for special magnetic fields, admit a 'quasi-symmetry' which can give rise to a conserved quantity helpful for plasma confinement in fields lacking a geometric isometry. The aim of this note is to offer a pedagogical introduction and some perspectives "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.05919","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.05919/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2408.05919","created_at":"2026-07-05T10:43:00.641075+00:00"},{"alias_kind":"arxiv_version","alias_value":"2408.05919v2","created_at":"2026-07-05T10:43:00.641075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.05919","created_at":"2026-07-05T10:43:00.641075+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJRQTSFR5V6Q","created_at":"2026-07-05T10:43:00.641075+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJRQTSFR5V6QTQCB","created_at":"2026-07-05T10:43:00.641075+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJRQTSFR","created_at":"2026-07-05T10:43:00.641075+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA","json":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA.json","graph_json":"https://pith.science/api/pith-number/MJRQTSFR5V6QTQCB4GJJU24IDA/graph.json","events_json":"https://pith.science/api/pith-number/MJRQTSFR5V6QTQCB4GJJU24IDA/events.json","paper":"https://pith.science/paper/MJRQTSFR"},"agent_actions":{"view_html":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA","download_json":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA.json","view_paper":"https://pith.science/paper/MJRQTSFR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2408.05919&json=true","fetch_graph":"https://pith.science/api/pith-number/MJRQTSFR5V6QTQCB4GJJU24IDA/graph.json","fetch_events":"https://pith.science/api/pith-number/MJRQTSFR5V6QTQCB4GJJU24IDA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA/action/storage_attestation","attest_author":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA/action/author_attestation","sign_citation":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA/action/citation_signature","submit_replication":"https://pith.science/pith/MJRQTSFR5V6QTQCB4GJJU24IDA/action/replication_record"}},"created_at":"2026-07-05T10:43:00.641075+00:00","updated_at":"2026-07-05T10:43:00.641075+00:00"}