{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KTIM26YRUZWEAPZ7HPBFG2U5AO","short_pith_number":"pith:KTIM26YR","schema_version":"1.0","canonical_sha256":"54d0cd7b11a66c403f3f3bc2536a9d03a858197bc4f9964fcbcd872ef4fda5ad","source":{"kind":"arxiv","id":"1109.1811","version":1},"attestation_state":"computed","paper":{"title":"Periodic magnetorotational dynamo action as a prototype of nonlinear magnetic field generation in shear flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP","astro-ph.HE","nlin.CD","physics.flu-dyn"],"primary_cat":"astro-ph.SR","authors_text":"C. Cossu (IMFT Toulouse), DAMTP Cambridge), ENS Paris), F. Rincon (IRAP Toulouse), G. I. Ogilvie (DAMTP Cambridge), G. Lesur (IPAG Grenoble, J. Herault (IRAP Toulouse, P.-Y. Longaretti (IPAG Grenoble)","submitted_at":"2011-09-08T19:24:50Z","abstract_excerpt":"The nature of dynamo action in shear flows prone to magnetohydrodynamic instabilities is investigated using the magnetorotational dynamo in Keplerian shear flow as a prototype problem. Using direct numerical simulations and Newton's method, we compute an exact time-periodic magnetorotational dynamo solution to the three-dimensional dissipative incompressible magnetohydrodynamic equations with rotation and shear. We discuss the physical mechanism behind the cycle and show that it results from a combination of linear and nonlinear interactions between a large-scale axisymmetric toroidal magnetic"},"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":"1109.1811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-09-08T19:24:50Z","cross_cats_sorted":["astro-ph.EP","astro-ph.HE","nlin.CD","physics.flu-dyn"],"title_canon_sha256":"9256fbe55cb509b9e200a1477ad1f46ce06446a3ed70d2c1fcfd883030dd1212","abstract_canon_sha256":"cf63771a11f97c3a913048ce7fb5c3dbc6d5ba68aaf463463c92d8492e25c5be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:37.705181Z","signature_b64":"9fh/iYuWYS7sfbN3ri3lCqKiLbwVcabgEDP0FCN3gw/Na6yGGp2zTYtyTFTdo/45P+H0D1bf3fDfF2BM1ZAwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54d0cd7b11a66c403f3f3bc2536a9d03a858197bc4f9964fcbcd872ef4fda5ad","last_reissued_at":"2026-05-18T02:00:37.704651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:37.704651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic magnetorotational dynamo action as a prototype of nonlinear magnetic field generation in shear flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.EP","astro-ph.HE","nlin.CD","physics.flu-dyn"],"primary_cat":"astro-ph.SR","authors_text":"C. Cossu (IMFT Toulouse), DAMTP Cambridge), ENS Paris), F. Rincon (IRAP Toulouse), G. I. Ogilvie (DAMTP Cambridge), G. Lesur (IPAG Grenoble, J. Herault (IRAP Toulouse, P.-Y. Longaretti (IPAG Grenoble)","submitted_at":"2011-09-08T19:24:50Z","abstract_excerpt":"The nature of dynamo action in shear flows prone to magnetohydrodynamic instabilities is investigated using the magnetorotational dynamo in Keplerian shear flow as a prototype problem. Using direct numerical simulations and Newton's method, we compute an exact time-periodic magnetorotational dynamo solution to the three-dimensional dissipative incompressible magnetohydrodynamic equations with rotation and shear. We discuss the physical mechanism behind the cycle and show that it results from a combination of linear and nonlinear interactions between a large-scale axisymmetric toroidal magnetic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1811","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":"1109.1811","created_at":"2026-05-18T02:00:37.704720+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.1811v1","created_at":"2026-05-18T02:00:37.704720+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1811","created_at":"2026-05-18T02:00:37.704720+00:00"},{"alias_kind":"pith_short_12","alias_value":"KTIM26YRUZWE","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"KTIM26YRUZWEAPZ7","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"KTIM26YR","created_at":"2026-05-18T12:26:34.985390+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/KTIM26YRUZWEAPZ7HPBFG2U5AO","json":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO.json","graph_json":"https://pith.science/api/pith-number/KTIM26YRUZWEAPZ7HPBFG2U5AO/graph.json","events_json":"https://pith.science/api/pith-number/KTIM26YRUZWEAPZ7HPBFG2U5AO/events.json","paper":"https://pith.science/paper/KTIM26YR"},"agent_actions":{"view_html":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO","download_json":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO.json","view_paper":"https://pith.science/paper/KTIM26YR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.1811&json=true","fetch_graph":"https://pith.science/api/pith-number/KTIM26YRUZWEAPZ7HPBFG2U5AO/graph.json","fetch_events":"https://pith.science/api/pith-number/KTIM26YRUZWEAPZ7HPBFG2U5AO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO/action/storage_attestation","attest_author":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO/action/author_attestation","sign_citation":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO/action/citation_signature","submit_replication":"https://pith.science/pith/KTIM26YRUZWEAPZ7HPBFG2U5AO/action/replication_record"}},"created_at":"2026-05-18T02:00:37.704720+00:00","updated_at":"2026-05-18T02:00:37.704720+00:00"}