{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NC3PWDGPJNKHWRBJ4HNWCUBTV2","short_pith_number":"pith:NC3PWDGP","schema_version":"1.0","canonical_sha256":"68b6fb0ccf4b547b4429e1db615033ae9766bf40a20461c5f0d9b903699535f4","source":{"kind":"arxiv","id":"1302.0976","version":1},"attestation_state":"computed","paper":{"title":"Work distribution in time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Artem Ryabov, Marcel Dierl, Mario Einax, Petr Chvosta, Philipp Maass","submitted_at":"2013-02-05T09:54:14Z","abstract_excerpt":"We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with time-dependent force constant and a time-independent logarithmic barrier at the origin. For arbitrary driving protocol, the problem of solving the Fokker-Planck equation for the joint probability density of work and particle position is reduced to the solution of the Riccati differential equation. For a particular choice of the driving protocol, an exact solution of the Riccati equation is presented. Asymptotic analysis of the resul"},"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":"1302.0976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-02-05T09:54:14Z","cross_cats_sorted":[],"title_canon_sha256":"7f406ebdb0c3ff30462e4524df032d2636391f6529eda1f3020aaa3154364b13","abstract_canon_sha256":"a569bd2e8b319b9c0a671d92e657a6c9eb3fbbeb997f0c4acf4f7b1546c41589"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:26.581531Z","signature_b64":"fPam/3j7XJwi6Bzu/GuHzbr5AdWf90KhwQuaTu+cUz07mughDgYTtDOzeFq7dXsm70PKVY//Dqh2l1EIxWitCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68b6fb0ccf4b547b4429e1db615033ae9766bf40a20461c5f0d9b903699535f4","last_reissued_at":"2026-05-18T03:34:26.580947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:26.580947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Work distribution in time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Artem Ryabov, Marcel Dierl, Mario Einax, Petr Chvosta, Philipp Maass","submitted_at":"2013-02-05T09:54:14Z","abstract_excerpt":"We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with time-dependent force constant and a time-independent logarithmic barrier at the origin. For arbitrary driving protocol, the problem of solving the Fokker-Planck equation for the joint probability density of work and particle position is reduced to the solution of the Riccati differential equation. For a particular choice of the driving protocol, an exact solution of the Riccati equation is presented. Asymptotic analysis of the resul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0976","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":"1302.0976","created_at":"2026-05-18T03:34:26.581037+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.0976v1","created_at":"2026-05-18T03:34:26.581037+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0976","created_at":"2026-05-18T03:34:26.581037+00:00"},{"alias_kind":"pith_short_12","alias_value":"NC3PWDGPJNKH","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NC3PWDGPJNKHWRBJ","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NC3PWDGP","created_at":"2026-05-18T12:27:52.871228+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/NC3PWDGPJNKHWRBJ4HNWCUBTV2","json":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2.json","graph_json":"https://pith.science/api/pith-number/NC3PWDGPJNKHWRBJ4HNWCUBTV2/graph.json","events_json":"https://pith.science/api/pith-number/NC3PWDGPJNKHWRBJ4HNWCUBTV2/events.json","paper":"https://pith.science/paper/NC3PWDGP"},"agent_actions":{"view_html":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2","download_json":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2.json","view_paper":"https://pith.science/paper/NC3PWDGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.0976&json=true","fetch_graph":"https://pith.science/api/pith-number/NC3PWDGPJNKHWRBJ4HNWCUBTV2/graph.json","fetch_events":"https://pith.science/api/pith-number/NC3PWDGPJNKHWRBJ4HNWCUBTV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2/action/storage_attestation","attest_author":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2/action/author_attestation","sign_citation":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2/action/citation_signature","submit_replication":"https://pith.science/pith/NC3PWDGPJNKHWRBJ4HNWCUBTV2/action/replication_record"}},"created_at":"2026-05-18T03:34:26.581037+00:00","updated_at":"2026-05-18T03:34:26.581037+00:00"}