{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3H67NLJIZJTEJQRKBNJMJTGNGX","short_pith_number":"pith:3H67NLJI","schema_version":"1.0","canonical_sha256":"d9fdf6ad28ca6644c22a0b52c4cccd35e431403b00fb342188fb58f4010bba24","source":{"kind":"arxiv","id":"1412.2233","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic derivation of Langevin-like equation with non-Gaussian noise and its analytical solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hisao Hayakawa, Kiyoshi Kanazawa, Takahiro Sagawa, Tomohiko G. Sano","submitted_at":"2014-12-06T13:27:59Z","abstract_excerpt":"We asymptotically derive a non-linear Langevin-like equation with non-Gaussian white noise for a wide class of stochastic systems associated with multiple stochastic environments, by developing the expansion method in our previous paper [K. Kanazawa et al., arXiv: 1407.5267 (2014)]. We further obtain a full-order asymptotic formula of the steady distribution function in terms of a large friction coefficient for a non-Gaussian Langevin equation with an arbitrary non-linear frictional force. The first-order truncation of our formula leads to the independent-kick model and the higher-order correc"},"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":"1412.2233","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-06T13:27:59Z","cross_cats_sorted":[],"title_canon_sha256":"20eca38dfef1aafc7da8b7741fda3e8b809e82f5235bd27f82d1340c20491458","abstract_canon_sha256":"60699598870791735c7a9f44c2b10771490262eb899d93caa6481b66518a515e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:01.758501Z","signature_b64":"McZFsyAQtr8ACCaaokle97xkvz3SuiHkH+qVHnWooL8LbHSHGgIowT4hMi6RQwzNPk/JWeJMGvkoPwn93BFICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9fdf6ad28ca6644c22a0b52c4cccd35e431403b00fb342188fb58f4010bba24","last_reissued_at":"2026-05-18T01:36:01.757897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:01.757897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic derivation of Langevin-like equation with non-Gaussian noise and its analytical solution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hisao Hayakawa, Kiyoshi Kanazawa, Takahiro Sagawa, Tomohiko G. Sano","submitted_at":"2014-12-06T13:27:59Z","abstract_excerpt":"We asymptotically derive a non-linear Langevin-like equation with non-Gaussian white noise for a wide class of stochastic systems associated with multiple stochastic environments, by developing the expansion method in our previous paper [K. Kanazawa et al., arXiv: 1407.5267 (2014)]. We further obtain a full-order asymptotic formula of the steady distribution function in terms of a large friction coefficient for a non-Gaussian Langevin equation with an arbitrary non-linear frictional force. The first-order truncation of our formula leads to the independent-kick model and the higher-order correc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2233","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":"1412.2233","created_at":"2026-05-18T01:36:01.758007+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.2233v1","created_at":"2026-05-18T01:36:01.758007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2233","created_at":"2026-05-18T01:36:01.758007+00:00"},{"alias_kind":"pith_short_12","alias_value":"3H67NLJIZJTE","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3H67NLJIZJTEJQRK","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3H67NLJI","created_at":"2026-05-18T12:28:11.866339+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/3H67NLJIZJTEJQRKBNJMJTGNGX","json":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX.json","graph_json":"https://pith.science/api/pith-number/3H67NLJIZJTEJQRKBNJMJTGNGX/graph.json","events_json":"https://pith.science/api/pith-number/3H67NLJIZJTEJQRKBNJMJTGNGX/events.json","paper":"https://pith.science/paper/3H67NLJI"},"agent_actions":{"view_html":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX","download_json":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX.json","view_paper":"https://pith.science/paper/3H67NLJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.2233&json=true","fetch_graph":"https://pith.science/api/pith-number/3H67NLJIZJTEJQRKBNJMJTGNGX/graph.json","fetch_events":"https://pith.science/api/pith-number/3H67NLJIZJTEJQRKBNJMJTGNGX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX/action/storage_attestation","attest_author":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX/action/author_attestation","sign_citation":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX/action/citation_signature","submit_replication":"https://pith.science/pith/3H67NLJIZJTEJQRKBNJMJTGNGX/action/replication_record"}},"created_at":"2026-05-18T01:36:01.758007+00:00","updated_at":"2026-05-18T01:36:01.758007+00:00"}