{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RWXLL6XEDHIM7ID4C3NFMXFYS7","short_pith_number":"pith:RWXLL6XE","schema_version":"1.0","canonical_sha256":"8daeb5fae419d0cfa07c16da565cb897eda9783e13f57c7c15c1853a965b466d","source":{"kind":"arxiv","id":"1406.4250","version":2},"attestation_state":"computed","paper":{"title":"Fluctuation dynamo at finite correlation times and the Kazantsev spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"physics.plasm-ph","authors_text":"Kandaswamy Subramanian, Pallavi Bhat","submitted_at":"2014-06-17T06:35:57Z","abstract_excerpt":"Fluctuation dynamos are generic to astrophysical systems. The only analytical model of the fluctuation dynamo is Kazantsev model which assumes a delta-correlated in time velocity field. We derive a generalized model of fluctuation dynamo with finite correlation time, $\\tau$, using renovating flows. For $\\tau \\to 0$, we recover the standard Kazantsev equation for the evolution of longitudinal magnetic correlation, $M_L$. To the next order in $\\tau$, the generalized equation involves third and fourth spatial derivatives of $M_L$. It can be recast using the Landau-Lifschitz approach, to one with "},"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":"1406.4250","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-06-17T06:35:57Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"13f6ecb424192081a0fd3eb0a456a6cdee8c8542bab4236e568c3c7444bf7b8d","abstract_canon_sha256":"e7eb6fd7856ebc07bb0c56610f9558ac41a2ab98d8e6bb93b0ad6460d1d8e51c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:39.835659Z","signature_b64":"wRHgmYUrLv56bU+oTsUvPJfDxEWIVlGpEMmKHZ4TsWwrHX8WTTkkRuUGOtVzaXJi8h+tQyyNJlB5VpNS4w5dCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8daeb5fae419d0cfa07c16da565cb897eda9783e13f57c7c15c1853a965b466d","last_reissued_at":"2026-05-18T02:44:39.835111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:39.835111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuation dynamo at finite correlation times and the Kazantsev spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"physics.plasm-ph","authors_text":"Kandaswamy Subramanian, Pallavi Bhat","submitted_at":"2014-06-17T06:35:57Z","abstract_excerpt":"Fluctuation dynamos are generic to astrophysical systems. The only analytical model of the fluctuation dynamo is Kazantsev model which assumes a delta-correlated in time velocity field. We derive a generalized model of fluctuation dynamo with finite correlation time, $\\tau$, using renovating flows. For $\\tau \\to 0$, we recover the standard Kazantsev equation for the evolution of longitudinal magnetic correlation, $M_L$. To the next order in $\\tau$, the generalized equation involves third and fourth spatial derivatives of $M_L$. It can be recast using the Landau-Lifschitz approach, to one with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4250","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":"1406.4250","created_at":"2026-05-18T02:44:39.835217+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.4250v2","created_at":"2026-05-18T02:44:39.835217+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4250","created_at":"2026-05-18T02:44:39.835217+00:00"},{"alias_kind":"pith_short_12","alias_value":"RWXLL6XEDHIM","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RWXLL6XEDHIM7ID4","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RWXLL6XE","created_at":"2026-05-18T12:28:46.137349+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/RWXLL6XEDHIM7ID4C3NFMXFYS7","json":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7.json","graph_json":"https://pith.science/api/pith-number/RWXLL6XEDHIM7ID4C3NFMXFYS7/graph.json","events_json":"https://pith.science/api/pith-number/RWXLL6XEDHIM7ID4C3NFMXFYS7/events.json","paper":"https://pith.science/paper/RWXLL6XE"},"agent_actions":{"view_html":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7","download_json":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7.json","view_paper":"https://pith.science/paper/RWXLL6XE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.4250&json=true","fetch_graph":"https://pith.science/api/pith-number/RWXLL6XEDHIM7ID4C3NFMXFYS7/graph.json","fetch_events":"https://pith.science/api/pith-number/RWXLL6XEDHIM7ID4C3NFMXFYS7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7/action/storage_attestation","attest_author":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7/action/author_attestation","sign_citation":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7/action/citation_signature","submit_replication":"https://pith.science/pith/RWXLL6XEDHIM7ID4C3NFMXFYS7/action/replication_record"}},"created_at":"2026-05-18T02:44:39.835217+00:00","updated_at":"2026-05-18T02:44:39.835217+00:00"}