{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5WMAQBEEKMA45TQO53VSBIF4R7","short_pith_number":"pith:5WMAQBEE","schema_version":"1.0","canonical_sha256":"ed980804845301cece0eeeeb20a0bc8fc1c9b496a1a0155a217619d41003581d","source":{"kind":"arxiv","id":"1906.01423","version":1},"attestation_state":"computed","paper":{"title":"Computation of kinematic and magnetic $\\alpha$-effect and eddy diffusivity tensors by Pad\\'e approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Roman Chertovskih, S\\'ilvio M.A. Gama, Vladislav Zheligovsky","submitted_at":"2019-06-04T13:41:34Z","abstract_excerpt":"We present examples of Pad\\'e approximation of the $\\alpha$-effect and eddy viscosity/diffusivity tensors in various flows. Expressions for the tensors derived in the framework of the standard multiscale formalism are employed. Algebraically the simplest case is that of a two-dimensional parity-invariant six-fold rotation-symmetric flow, where eddy viscosity is negative, indicating intervals of large-scale instability of the flow. Turning to the kinematic dynamo problem for three-dimensional flows of an incompressible fluid, we explore application of Pad\\'e approximants for computation of tens"},"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":"1906.01423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-06-04T13:41:34Z","cross_cats_sorted":["math.AP","nlin.CD"],"title_canon_sha256":"9a7e97c94c055e3314856ea5a39dc4220116bbbdf1e77e6b586fb879610ada5f","abstract_canon_sha256":"e3bdb741ba1e66762760fe7273a2d104b6701953450fd21d7715224441a2c936"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:02.102357Z","signature_b64":"sKYLbw8uSKCKdSdp/SHR3fJk0a9w3h/8yJt7pWOct6Ung1zuTmXBX+oBSkRC7MAq3fJ7ZAqxkBIBUkkM4mB7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed980804845301cece0eeeeb20a0bc8fc1c9b496a1a0155a217619d41003581d","last_reissued_at":"2026-05-17T23:42:02.101810Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:02.101810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computation of kinematic and magnetic $\\alpha$-effect and eddy diffusivity tensors by Pad\\'e approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Roman Chertovskih, S\\'ilvio M.A. Gama, Vladislav Zheligovsky","submitted_at":"2019-06-04T13:41:34Z","abstract_excerpt":"We present examples of Pad\\'e approximation of the $\\alpha$-effect and eddy viscosity/diffusivity tensors in various flows. Expressions for the tensors derived in the framework of the standard multiscale formalism are employed. Algebraically the simplest case is that of a two-dimensional parity-invariant six-fold rotation-symmetric flow, where eddy viscosity is negative, indicating intervals of large-scale instability of the flow. Turning to the kinematic dynamo problem for three-dimensional flows of an incompressible fluid, we explore application of Pad\\'e approximants for computation of tens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01423","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1906.01423","created_at":"2026-05-17T23:42:02.101878+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.01423v1","created_at":"2026-05-17T23:42:02.101878+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01423","created_at":"2026-05-17T23:42:02.101878+00:00"},{"alias_kind":"pith_short_12","alias_value":"5WMAQBEEKMA4","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"5WMAQBEEKMA45TQO","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"5WMAQBEE","created_at":"2026-05-18T12:33:10.108867+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/5WMAQBEEKMA45TQO53VSBIF4R7","json":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7.json","graph_json":"https://pith.science/api/pith-number/5WMAQBEEKMA45TQO53VSBIF4R7/graph.json","events_json":"https://pith.science/api/pith-number/5WMAQBEEKMA45TQO53VSBIF4R7/events.json","paper":"https://pith.science/paper/5WMAQBEE"},"agent_actions":{"view_html":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7","download_json":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7.json","view_paper":"https://pith.science/paper/5WMAQBEE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.01423&json=true","fetch_graph":"https://pith.science/api/pith-number/5WMAQBEEKMA45TQO53VSBIF4R7/graph.json","fetch_events":"https://pith.science/api/pith-number/5WMAQBEEKMA45TQO53VSBIF4R7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7/action/storage_attestation","attest_author":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7/action/author_attestation","sign_citation":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7/action/citation_signature","submit_replication":"https://pith.science/pith/5WMAQBEEKMA45TQO53VSBIF4R7/action/replication_record"}},"created_at":"2026-05-17T23:42:02.101878+00:00","updated_at":"2026-05-17T23:42:02.101878+00:00"}