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Despite extensive observational and theoretical work, the physical mechanisms governing how such reversals occur and how their broad temporal variability is organized are still not fully understood.\n  Here we investigate the temporal variability of geomagnetic polarity in a thermally driven low-dimensional geodynamo model subject to a slow periodic modulation of the control parameter governing the large-scale induction, namely the $\\alpha"},"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":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.13867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2026-05-02T19:32:40Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"000b9d9d57f452f76ff91fb6a709ceb5ba7828ac1472351b497196362c43b32f","abstract_canon_sha256":"c9682a0cbb737b2f7e0998365e5621357966c7eee8d485c45b44b0807a0a6dd1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:19.364423Z","signature_b64":"nOXLz6zhbsItW+F7cnDb2LNxO1KCI5DnM+QksBOjW/7aB0o45FA92tQqVc899k6bjUddGYN5igtu3iLYtw+0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a2ce2fdad1311144af0ba66530d56d13a265f85ed931092e60045e196fbaa06","last_reissued_at":"2026-05-17T23:39:19.363665Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:19.363665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Resonance in a Thermally Driven Low-Dimensional Geodynamo Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Periodic modulation of the alpha-effect in a low-dimensional geodynamo model produces multi-peaked distributions of magnetic persistence times at integer multiples of the modulation period.","cross_cats":["astro-ph.EP"],"primary_cat":"physics.geo-ph","authors_text":"Edoardo Cascio, Francesco Berrilli, Giuseppe Consolini, Giuseppina Nigro","submitted_at":"2026-05-02T19:32:40Z","abstract_excerpt":"Geomagnetic field reversal sequences exhibit persistence times spanning a broad range, from a few $10^4$ years to superchrons lasting more than $10^7$ years. Despite extensive observational and theoretical work, the physical mechanisms governing how such reversals occur and how their broad temporal variability is organized are still not fully understood.\n  Here we investigate the temporal variability of geomagnetic polarity in a thermally driven low-dimensional geodynamo model subject to a slow periodic modulation of the control parameter governing the large-scale induction, namely the $\\alpha"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the modulation generates a multipeaked probability density function of magnetic persistence times, with local maxima occurring at approximately integer multiples of the modulation timescale, as expected in a stochastic-resonance-like regime","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"that the chosen low-dimensional thermally driven model and the imposed periodic modulation of the alpha-effect parameter are sufficiently representative of the real geodynamo to produce reversal statistics that can be compared with observations","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Slow periodic modulation of the alpha-effect in a low-dimensional thermally driven geodynamo model creates a multi-peaked distribution of magnetic polarity persistence times at integer multiples of the modulation timescale.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Periodic modulation of the alpha-effect in a low-dimensional geodynamo model produces multi-peaked distributions of magnetic persistence times at integer multiples of the modulation period.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b4e42d1f7b2eafdae183434fc06d8192be52f2efdd2f1f28d385acf01c0f6525"},"source":{"id":"2605.13867","kind":"arxiv","version":1},"verdict":{"id":"f60f4134-748a-415e-98bc-1af4e1c020f3","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T07:24:26.996590Z","strongest_claim":"the modulation generates a multipeaked probability density function of magnetic persistence times, with local maxima occurring at approximately integer multiples of the modulation timescale, as expected in a stochastic-resonance-like regime","one_line_summary":"Slow periodic modulation of the alpha-effect in a low-dimensional thermally driven geodynamo model creates a multi-peaked distribution of magnetic polarity persistence times at integer multiples of the modulation timescale.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"that the chosen low-dimensional thermally driven model and the imposed periodic modulation of the alpha-effect parameter are sufficiently representative of the real geodynamo to produce reversal statistics that can be compared with observations","pith_extraction_headline":"Periodic modulation of the alpha-effect in a low-dimensional geodynamo model produces multi-peaked distributions of magnetic persistence times at integer multiples of the modulation period."},"references":{"count":63,"sample":[{"doi":"","year":null,"title":"(see also [45]). The model equations (1), (4) and (2) are written in a dimensionless form, where we measure the velocity in terms of the free-fall velocity U = √ ˆαgL ∆ T and measure the magnetic ﬁeld","work_id":"cb63a46f-2e3a-4522-b983-ffbeb05ac0da","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"b1 − µ B2 0 b3 1, (6) which can be recast as an overdamped relaxation in a Landau potential U (b1) deﬁned by ˙b1 = − dU/db 1, yield- 5 -1 0 1 1.5 200500 201000 201500 202000 202500 203000 b1(t) t 0 2 ","work_id":"4b547a9f-b5fa-4f19-8528-1d2eedd6d134","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"= B2 0 4µ ( µ − ηk2 1 ) 2 ≃ η ≪ 1 µ B2 0 4 (9) demonstrating that the barrier increases and/or de- creases with µ . In equation (3), the nonlinear coupling terms appear- ing in the ﬁrst two terms in t","work_id":"f8db4263-8062-4a80-a3f2-b7c08169e261","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"09, consistent with the PDF-peak estimate δUpdf ≃","work_id":"a68ae7b7-b19e-49d6-b7fa-4ee0e0023067","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2000,"title":"We also report residence-time asymmetry, deﬁned as the fraction of samples with b1(t) > 0 versus b1(t) < 0, as an independent diagnostic of a possible preference for polarity","work_id":"310d7f71-018a-459d-9999-73829a01ae52","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":63,"snapshot_sha256":"162e546b78567b1ee76b16ac2e87463022346d19b25762dccacfa084dd644d8b","internal_anchors":10},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d3249f59e66dc099437beca8873aa00af4b4149b81f63faa2704792a30f5bd07"},"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":"2605.13867","created_at":"2026-05-17T23:39:19.363800+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.13867v1","created_at":"2026-05-17T23:39:19.363800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13867","created_at":"2026-05-17T23:39:19.363800+00:00"},{"alias_kind":"pith_short_12","alias_value":"DIWOF7NNCMIR","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"DIWOF7NNCMIRISXQ","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"DIWOF7NN","created_at":"2026-05-18T12:33:37.589309+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E","json":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E.json","graph_json":"https://pith.science/api/pith-number/DIWOF7NNCMIRISXQXJTFGDKW2E/graph.json","events_json":"https://pith.science/api/pith-number/DIWOF7NNCMIRISXQXJTFGDKW2E/events.json","paper":"https://pith.science/paper/DIWOF7NN"},"agent_actions":{"view_html":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E","download_json":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E.json","view_paper":"https://pith.science/paper/DIWOF7NN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.13867&json=true","fetch_graph":"https://pith.science/api/pith-number/DIWOF7NNCMIRISXQXJTFGDKW2E/graph.json","fetch_events":"https://pith.science/api/pith-number/DIWOF7NNCMIRISXQXJTFGDKW2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E/action/storage_attestation","attest_author":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E/action/author_attestation","sign_citation":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E/action/citation_signature","submit_replication":"https://pith.science/pith/DIWOF7NNCMIRISXQXJTFGDKW2E/action/replication_record"}},"created_at":"2026-05-17T23:39:19.363800+00:00","updated_at":"2026-05-17T23:39:19.363800+00:00"}