{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XINVNZBROA6O4XFIVTR3YMNX7V","short_pith_number":"pith:XINVNZBR","schema_version":"1.0","canonical_sha256":"ba1b56e431703cee5ca8ace3bc31b7fd4f9d48093048f19566c79ab943f070cf","source":{"kind":"arxiv","id":"1802.02842","version":2},"attestation_state":"computed","paper":{"title":"Path integrals for mean-field equations in nonlinear dynamos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Dmitry Sokoloff, Nobumitsu Yokoi","submitted_at":"2018-02-08T13:26:55Z","abstract_excerpt":"Mean-field dynamo equations are addressed with the aid of the path-integral method. The evolution of magnetic field is treated as a three-dimensional Wiener random process, and the mean magnetic-field equations are obtained with the Wiener integral over all the trajectories of fluid particle. The form of the equations is just the same as the conventional mean-field equations, but the present equations are derived with the velocity-field realization affected by the magnetic-field force. In this sense, the present ones are nonlinear dynamo equations."},"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":"1802.02842","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2018-02-08T13:26:55Z","cross_cats_sorted":[],"title_canon_sha256":"3109733606ed8ba9a6dd9b7a656cf63868b4d819defba94eb35c8dbe84818c39","abstract_canon_sha256":"0e4b5f84bb66d201a8f6bc501bd58bbb7c59bbedaec2a4bdf2be7a149b89871e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:38.507143Z","signature_b64":"d0YSlbxntKMCABoh74Sa6r8yE5PwNfMBw+eawtGVziC48eTEchuYwKf0mSPTzdRP7uXyTf4OGLpKNYoBzRTWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba1b56e431703cee5ca8ace3bc31b7fd4f9d48093048f19566c79ab943f070cf","last_reissued_at":"2026-05-18T00:10:38.506515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:38.506515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path integrals for mean-field equations in nonlinear dynamos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Dmitry Sokoloff, Nobumitsu Yokoi","submitted_at":"2018-02-08T13:26:55Z","abstract_excerpt":"Mean-field dynamo equations are addressed with the aid of the path-integral method. The evolution of magnetic field is treated as a three-dimensional Wiener random process, and the mean magnetic-field equations are obtained with the Wiener integral over all the trajectories of fluid particle. The form of the equations is just the same as the conventional mean-field equations, but the present equations are derived with the velocity-field realization affected by the magnetic-field force. In this sense, the present ones are nonlinear dynamo equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02842","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.02842","created_at":"2026-05-18T00:10:38.506638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.02842v2","created_at":"2026-05-18T00:10:38.506638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02842","created_at":"2026-05-18T00:10:38.506638+00:00"},{"alias_kind":"pith_short_12","alias_value":"XINVNZBROA6O","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XINVNZBROA6O4XFI","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XINVNZBR","created_at":"2026-05-18T12:33:01.666342+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/XINVNZBROA6O4XFIVTR3YMNX7V","json":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V.json","graph_json":"https://pith.science/api/pith-number/XINVNZBROA6O4XFIVTR3YMNX7V/graph.json","events_json":"https://pith.science/api/pith-number/XINVNZBROA6O4XFIVTR3YMNX7V/events.json","paper":"https://pith.science/paper/XINVNZBR"},"agent_actions":{"view_html":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V","download_json":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V.json","view_paper":"https://pith.science/paper/XINVNZBR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.02842&json=true","fetch_graph":"https://pith.science/api/pith-number/XINVNZBROA6O4XFIVTR3YMNX7V/graph.json","fetch_events":"https://pith.science/api/pith-number/XINVNZBROA6O4XFIVTR3YMNX7V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V/action/storage_attestation","attest_author":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V/action/author_attestation","sign_citation":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V/action/citation_signature","submit_replication":"https://pith.science/pith/XINVNZBROA6O4XFIVTR3YMNX7V/action/replication_record"}},"created_at":"2026-05-18T00:10:38.506638+00:00","updated_at":"2026-05-18T00:10:38.506638+00:00"}