{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:432M6XHGV74XWSZ5CR4PWZEVQ5","short_pith_number":"pith:432M6XHG","schema_version":"1.0","canonical_sha256":"e6f4cf5ce6aff97b4b3d1478fb64958760ee003f596112082eaeef4ce4026576","source":{"kind":"arxiv","id":"1009.2083","version":1},"attestation_state":"computed","paper":{"title":"Levy ratchets in the spatially tempered fractional Fokker-Planck equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Kullberg, D. del-Castillo-Negrete","submitted_at":"2010-09-10T19:40:11Z","abstract_excerpt":"L\\'evy ratchets are minimal models of fluctuation-driven transport in the presence of L\\'evy noise and periodic external potentials with broken spatial symmetry. In these systems, a net ratchet current can appear even in the absence of time dependent perturbations, external tilting forces, or a bias in the noise. The majority of studies on the interaction of L\\'evy noise with external potentials have assumed $\\alpha$-stable L\\'evy statistics in the Langevin description, which in the continuum limit corresponds to the fractional Fokker-Planck equation. However, the divergence of the low order m"},"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":"1009.2083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-09-10T19:40:11Z","cross_cats_sorted":[],"title_canon_sha256":"57b81085f16cc0d72ca80370999ab5af63461b67c902a1a28c4dffc98ceb643f","abstract_canon_sha256":"5b05e593517afc8f8f6a91fdeb5fda8209ae958616ea432b7f359cee9eecd380"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:05.494220Z","signature_b64":"tTHMsN5KDemjRoC566Nkn6J/pk1S/H4RFZ8elD6l5XTmrDwtWLQ1agV2R1M74ye/dejS/jZQeEr52Z/4S4UtCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6f4cf5ce6aff97b4b3d1478fb64958760ee003f596112082eaeef4ce4026576","last_reissued_at":"2026-05-18T04:41:05.493780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:05.493780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Levy ratchets in the spatially tempered fractional Fokker-Planck equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Kullberg, D. del-Castillo-Negrete","submitted_at":"2010-09-10T19:40:11Z","abstract_excerpt":"L\\'evy ratchets are minimal models of fluctuation-driven transport in the presence of L\\'evy noise and periodic external potentials with broken spatial symmetry. In these systems, a net ratchet current can appear even in the absence of time dependent perturbations, external tilting forces, or a bias in the noise. The majority of studies on the interaction of L\\'evy noise with external potentials have assumed $\\alpha$-stable L\\'evy statistics in the Langevin description, which in the continuum limit corresponds to the fractional Fokker-Planck equation. However, the divergence of the low order m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2083","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":"1009.2083","created_at":"2026-05-18T04:41:05.493857+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.2083v1","created_at":"2026-05-18T04:41:05.493857+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2083","created_at":"2026-05-18T04:41:05.493857+00:00"},{"alias_kind":"pith_short_12","alias_value":"432M6XHGV74X","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"432M6XHGV74XWSZ5","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"432M6XHG","created_at":"2026-05-18T12:26:03.138858+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/432M6XHGV74XWSZ5CR4PWZEVQ5","json":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5.json","graph_json":"https://pith.science/api/pith-number/432M6XHGV74XWSZ5CR4PWZEVQ5/graph.json","events_json":"https://pith.science/api/pith-number/432M6XHGV74XWSZ5CR4PWZEVQ5/events.json","paper":"https://pith.science/paper/432M6XHG"},"agent_actions":{"view_html":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5","download_json":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5.json","view_paper":"https://pith.science/paper/432M6XHG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.2083&json=true","fetch_graph":"https://pith.science/api/pith-number/432M6XHGV74XWSZ5CR4PWZEVQ5/graph.json","fetch_events":"https://pith.science/api/pith-number/432M6XHGV74XWSZ5CR4PWZEVQ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5/action/storage_attestation","attest_author":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5/action/author_attestation","sign_citation":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5/action/citation_signature","submit_replication":"https://pith.science/pith/432M6XHGV74XWSZ5CR4PWZEVQ5/action/replication_record"}},"created_at":"2026-05-18T04:41:05.493857+00:00","updated_at":"2026-05-18T04:41:05.493857+00:00"}