{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SSWRE663LXHI2HRAJ6UQQSZ3M3","short_pith_number":"pith:SSWRE663","schema_version":"1.0","canonical_sha256":"94ad127bdb5dce8d1e204fa9084b3b66e88219e6b1baefe127e6ebe41a3cfb34","source":{"kind":"arxiv","id":"1807.07116","version":1},"attestation_state":"computed","paper":{"title":"L\\'evy flights on a comb and the plasma staircase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexander V. Milovanov, Jens Juul Rasmussen","submitted_at":"2018-07-17T11:43:36Z","abstract_excerpt":"We formulate the problem of confined L\\'evy flight on a comb. The comb represents a sawtooth-like potential field $V(x)$, with the asymmetric teeth favoring net transport in a preferred direction. The shape effect is modeled as a power-law dependence $V(x) \\propto |\\Delta x|^n$ within the sawtooth period, followed by an abrupt drop-off to zero, after which the initial power-law dependence is reset. It is found that the L\\'evy flights will be confined in the sense of generalized central limit theorem if (i) the spacing between the teeth is sufficiently broad, and (ii) $n > 4-\\mu$, where $\\mu$ i"},"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":"1807.07116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-17T11:43:36Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"0d9a2a7739a6d7a47e03962b6a9a5e4af751d5a82829b14f551a5207b00a0113","abstract_canon_sha256":"8ea5414d2079ebd7392a7933d8454f40426100ebab30b3f0cd055d8527430b65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:05.883138Z","signature_b64":"QFfUxSXqAg69rEjDqvWpLIfh5UUFNv/ZIjNoq1GokZ+Zjet+9JOKVcoTJI8/Rz9TfgLH1nVoOTLoQ69QO661BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94ad127bdb5dce8d1e204fa9084b3b66e88219e6b1baefe127e6ebe41a3cfb34","last_reissued_at":"2026-05-18T00:08:05.882723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:05.882723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"L\\'evy flights on a comb and the plasma staircase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexander V. Milovanov, Jens Juul Rasmussen","submitted_at":"2018-07-17T11:43:36Z","abstract_excerpt":"We formulate the problem of confined L\\'evy flight on a comb. The comb represents a sawtooth-like potential field $V(x)$, with the asymmetric teeth favoring net transport in a preferred direction. The shape effect is modeled as a power-law dependence $V(x) \\propto |\\Delta x|^n$ within the sawtooth period, followed by an abrupt drop-off to zero, after which the initial power-law dependence is reset. It is found that the L\\'evy flights will be confined in the sense of generalized central limit theorem if (i) the spacing between the teeth is sufficiently broad, and (ii) $n > 4-\\mu$, where $\\mu$ i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07116","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":"1807.07116","created_at":"2026-05-18T00:08:05.882787+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.07116v1","created_at":"2026-05-18T00:08:05.882787+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07116","created_at":"2026-05-18T00:08:05.882787+00:00"},{"alias_kind":"pith_short_12","alias_value":"SSWRE663LXHI","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SSWRE663LXHI2HRA","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SSWRE663","created_at":"2026-05-18T12:32:53.628368+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/SSWRE663LXHI2HRAJ6UQQSZ3M3","json":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3.json","graph_json":"https://pith.science/api/pith-number/SSWRE663LXHI2HRAJ6UQQSZ3M3/graph.json","events_json":"https://pith.science/api/pith-number/SSWRE663LXHI2HRAJ6UQQSZ3M3/events.json","paper":"https://pith.science/paper/SSWRE663"},"agent_actions":{"view_html":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3","download_json":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3.json","view_paper":"https://pith.science/paper/SSWRE663","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.07116&json=true","fetch_graph":"https://pith.science/api/pith-number/SSWRE663LXHI2HRAJ6UQQSZ3M3/graph.json","fetch_events":"https://pith.science/api/pith-number/SSWRE663LXHI2HRAJ6UQQSZ3M3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3/action/storage_attestation","attest_author":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3/action/author_attestation","sign_citation":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3/action/citation_signature","submit_replication":"https://pith.science/pith/SSWRE663LXHI2HRAJ6UQQSZ3M3/action/replication_record"}},"created_at":"2026-05-18T00:08:05.882787+00:00","updated_at":"2026-05-18T00:08:05.882787+00:00"}