{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XIDGVR6VG5SXV22J4FEQFVCJBC","short_pith_number":"pith:XIDGVR6V","schema_version":"1.0","canonical_sha256":"ba066ac7d537657aeb49e14902d44908afa3bcaa81bcc9efd8b8ca73fd3be1f0","source":{"kind":"arxiv","id":"1404.1110","version":1},"attestation_state":"computed","paper":{"title":"Integrability of the Hide--Skeldon--Acheson dynamo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Adam Mahdi, Claudia Valls","submitted_at":"2014-04-03T22:23:11Z","abstract_excerpt":"In this work we consider the Hide-Skeldon-Acheson dynamo model \\[ \\dot x=x(y-1)-\\beta z, \\quad \\dot y =\\alpha(1-x^2)-\\kappa y, \\quad \\dot z =x-\\lambda z, \\] where $\\alpha,\\beta,\\kappa$ and $\\lambda$ are parameters.\n  We contribute to the understanding of its global dynamics, or more precisely, to the topological structure of its orbits by studying the integrability problem. Provided $\\alpha \\ne 0$ we identify the values of the parameters of this model, for which it admits a first integral. Also, as corollary of our main results we get that for $\\alpha, \\beta, \\kappa \\ne 0$ the dynamo model doe"},"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":"1404.1110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-03T22:23:11Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"3e750bec3ee52504d2a45d803e9d5faf9d5c9abeab4112d2fd8fdac94096addd","abstract_canon_sha256":"e7601d27289fd7ae76314676a53161f52829e27f34f0c5534381fdec190f8bfa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:54.181777Z","signature_b64":"Jfta3EkvmUvsb9CW6iku6yIbukoj7C7mfOqX+wp2x6xVmxZN1lCOUhX9M5qywZIRXPu1sxZJW5/AA2trnjPMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba066ac7d537657aeb49e14902d44908afa3bcaa81bcc9efd8b8ca73fd3be1f0","last_reissued_at":"2026-05-18T02:54:54.181186Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:54.181186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrability of the Hide--Skeldon--Acheson dynamo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Adam Mahdi, Claudia Valls","submitted_at":"2014-04-03T22:23:11Z","abstract_excerpt":"In this work we consider the Hide-Skeldon-Acheson dynamo model \\[ \\dot x=x(y-1)-\\beta z, \\quad \\dot y =\\alpha(1-x^2)-\\kappa y, \\quad \\dot z =x-\\lambda z, \\] where $\\alpha,\\beta,\\kappa$ and $\\lambda$ are parameters.\n  We contribute to the understanding of its global dynamics, or more precisely, to the topological structure of its orbits by studying the integrability problem. Provided $\\alpha \\ne 0$ we identify the values of the parameters of this model, for which it admits a first integral. Also, as corollary of our main results we get that for $\\alpha, \\beta, \\kappa \\ne 0$ the dynamo model doe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1110","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":"1404.1110","created_at":"2026-05-18T02:54:54.181275+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.1110v1","created_at":"2026-05-18T02:54:54.181275+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1110","created_at":"2026-05-18T02:54:54.181275+00:00"},{"alias_kind":"pith_short_12","alias_value":"XIDGVR6VG5SX","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XIDGVR6VG5SXV22J","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XIDGVR6V","created_at":"2026-05-18T12:28:57.508820+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/XIDGVR6VG5SXV22J4FEQFVCJBC","json":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC.json","graph_json":"https://pith.science/api/pith-number/XIDGVR6VG5SXV22J4FEQFVCJBC/graph.json","events_json":"https://pith.science/api/pith-number/XIDGVR6VG5SXV22J4FEQFVCJBC/events.json","paper":"https://pith.science/paper/XIDGVR6V"},"agent_actions":{"view_html":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC","download_json":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC.json","view_paper":"https://pith.science/paper/XIDGVR6V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.1110&json=true","fetch_graph":"https://pith.science/api/pith-number/XIDGVR6VG5SXV22J4FEQFVCJBC/graph.json","fetch_events":"https://pith.science/api/pith-number/XIDGVR6VG5SXV22J4FEQFVCJBC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC/action/storage_attestation","attest_author":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC/action/author_attestation","sign_citation":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC/action/citation_signature","submit_replication":"https://pith.science/pith/XIDGVR6VG5SXV22J4FEQFVCJBC/action/replication_record"}},"created_at":"2026-05-18T02:54:54.181275+00:00","updated_at":"2026-05-18T02:54:54.181275+00:00"}