{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ARPFP2B3MMDEIFIWWWMWQNK3G5","short_pith_number":"pith:ARPFP2B3","schema_version":"1.0","canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","source":{"kind":"arxiv","id":"1204.1509","version":4},"attestation_state":"computed","paper":{"title":"Long-wavelength limit of gyrokinetics in a turbulent tokamak and its intrinsic ambipolarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Felix I. Parra, Ivan Calvo","submitted_at":"2012-04-06T16:14:02Z","abstract_excerpt":"Recently, the electrostatic gyrokinetic Hamiltonian and change of coordinates have been computed to order $\\epsilon^2$ in general magnetic geometry. Here $\\epsilon$ is the gyrokinetic expansion parameter, the gyroradius over the macroscopic scale length. Starting from these results, the long-wavelength limit of the gyrokinetic Fokker-Planck and quasineutrality equations is taken for tokamak geometry. Employing the set of equations derived in the present article, it is possible to calculate the long-wavelength components of the distribution functions and of the poloidal electric field to order "},"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":"1204.1509","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-04-06T16:14:02Z","cross_cats_sorted":[],"title_canon_sha256":"9939161977d1c9c852b6bef71ecd4fa8297b6aef4646a08113156b7539c18893","abstract_canon_sha256":"685af88fd06b233e1fd0b9ac7f44b58a304466b24ecfb5e5595bfbe040272ce3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:56.120015Z","signature_b64":"f8c7xvACVtZeeGL9n/xM7GBb064IlWOD6z60WxnNHyrrB3vaXx5CXcJk3uj8wt5z/eXqX16EceSCBtlx9yHACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"045e57e83b6306441516b59968355b375e3ea9374523f3bb4ec8151f498412fa","last_reissued_at":"2026-05-18T01:57:56.119278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:56.119278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long-wavelength limit of gyrokinetics in a turbulent tokamak and its intrinsic ambipolarity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Felix I. Parra, Ivan Calvo","submitted_at":"2012-04-06T16:14:02Z","abstract_excerpt":"Recently, the electrostatic gyrokinetic Hamiltonian and change of coordinates have been computed to order $\\epsilon^2$ in general magnetic geometry. Here $\\epsilon$ is the gyrokinetic expansion parameter, the gyroradius over the macroscopic scale length. Starting from these results, the long-wavelength limit of the gyrokinetic Fokker-Planck and quasineutrality equations is taken for tokamak geometry. Employing the set of equations derived in the present article, it is possible to calculate the long-wavelength components of the distribution functions and of the poloidal electric field to order "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1509","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.1509","created_at":"2026-05-18T01:57:56.119411+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.1509v4","created_at":"2026-05-18T01:57:56.119411+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1509","created_at":"2026-05-18T01:57:56.119411+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARPFP2B3MMDE","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARPFP2B3MMDEIFIW","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARPFP2B3","created_at":"2026-05-18T12:26:58.693483+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/ARPFP2B3MMDEIFIWWWMWQNK3G5","json":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5.json","graph_json":"https://pith.science/api/pith-number/ARPFP2B3MMDEIFIWWWMWQNK3G5/graph.json","events_json":"https://pith.science/api/pith-number/ARPFP2B3MMDEIFIWWWMWQNK3G5/events.json","paper":"https://pith.science/paper/ARPFP2B3"},"agent_actions":{"view_html":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5","download_json":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5.json","view_paper":"https://pith.science/paper/ARPFP2B3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.1509&json=true","fetch_graph":"https://pith.science/api/pith-number/ARPFP2B3MMDEIFIWWWMWQNK3G5/graph.json","fetch_events":"https://pith.science/api/pith-number/ARPFP2B3MMDEIFIWWWMWQNK3G5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/action/storage_attestation","attest_author":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/action/author_attestation","sign_citation":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/action/citation_signature","submit_replication":"https://pith.science/pith/ARPFP2B3MMDEIFIWWWMWQNK3G5/action/replication_record"}},"created_at":"2026-05-18T01:57:56.119411+00:00","updated_at":"2026-05-18T01:57:56.119411+00:00"}