{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:UUO2SOR2ZVQBSE3NXDDATFLZVT","short_pith_number":"pith:UUO2SOR2","schema_version":"1.0","canonical_sha256":"a51da93a3acd6019136db8c6099579acf3f479f8f1a33d6ae8f2640cc4417c70","source":{"kind":"arxiv","id":"1207.5172","version":1},"attestation_state":"computed","paper":{"title":"Tsallis statistics and Langevin equation with multiplicative noise in different orders of prescription","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kwok Sau Fa","submitted_at":"2012-07-21T19:48:00Z","abstract_excerpt":"Usually discussions on the question of interpretation in the Langevin equation with multiplicative white noise are limited to the Ito and Stratonovich prescriptions. In this work, a Langevin equation with multiplicative white noise and its Fokker-Planck equation are considered. From this Fokker-Planck equation a connection between the stationary solution and the Tsallis distribution is obtained for different orders of prescription in discretization rule for the stochastic integrals; the Tsallis index $q$ and the prescription parameter (\\lambda) are determined with the drift and diffusion coeff"},"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":"1207.5172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-21T19:48:00Z","cross_cats_sorted":[],"title_canon_sha256":"f4cb62c4862bd56eb5c0e95193c992672d5cfc79ff1e0c43b4d8eb5725ad50c1","abstract_canon_sha256":"fc781a100483cb9d8568ab470b25bc428e470fb4bb5934012ee14d73413efefd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:24.286197Z","signature_b64":"V/mV0g5g9LUxPGqeJ98KOyR6AiV2J2wqyY3Qq4CaKHwFd/Btc+qlvhnCDDNAcWlbsYmJTF2t5dVGGJSaRBR9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a51da93a3acd6019136db8c6099579acf3f479f8f1a33d6ae8f2640cc4417c70","last_reissued_at":"2026-05-18T03:50:24.285393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:24.285393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tsallis statistics and Langevin equation with multiplicative noise in different orders of prescription","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kwok Sau Fa","submitted_at":"2012-07-21T19:48:00Z","abstract_excerpt":"Usually discussions on the question of interpretation in the Langevin equation with multiplicative white noise are limited to the Ito and Stratonovich prescriptions. In this work, a Langevin equation with multiplicative white noise and its Fokker-Planck equation are considered. From this Fokker-Planck equation a connection between the stationary solution and the Tsallis distribution is obtained for different orders of prescription in discretization rule for the stochastic integrals; the Tsallis index $q$ and the prescription parameter (\\lambda) are determined with the drift and diffusion coeff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5172","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":"1207.5172","created_at":"2026-05-18T03:50:24.285526+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.5172v1","created_at":"2026-05-18T03:50:24.285526+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5172","created_at":"2026-05-18T03:50:24.285526+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUO2SOR2ZVQB","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUO2SOR2ZVQBSE3N","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUO2SOR2","created_at":"2026-05-18T12:27:25.539911+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/UUO2SOR2ZVQBSE3NXDDATFLZVT","json":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT.json","graph_json":"https://pith.science/api/pith-number/UUO2SOR2ZVQBSE3NXDDATFLZVT/graph.json","events_json":"https://pith.science/api/pith-number/UUO2SOR2ZVQBSE3NXDDATFLZVT/events.json","paper":"https://pith.science/paper/UUO2SOR2"},"agent_actions":{"view_html":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT","download_json":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT.json","view_paper":"https://pith.science/paper/UUO2SOR2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.5172&json=true","fetch_graph":"https://pith.science/api/pith-number/UUO2SOR2ZVQBSE3NXDDATFLZVT/graph.json","fetch_events":"https://pith.science/api/pith-number/UUO2SOR2ZVQBSE3NXDDATFLZVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT/action/storage_attestation","attest_author":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT/action/author_attestation","sign_citation":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT/action/citation_signature","submit_replication":"https://pith.science/pith/UUO2SOR2ZVQBSE3NXDDATFLZVT/action/replication_record"}},"created_at":"2026-05-18T03:50:24.285526+00:00","updated_at":"2026-05-18T03:50:24.285526+00:00"}