{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6EU7QIR5FPSBDUWOVEYFW2LD7N","short_pith_number":"pith:6EU7QIR5","schema_version":"1.0","canonical_sha256":"f129f8223d2be411d2cea9305b6963fb6253f9390d39af1b7a5f508361cf7262","source":{"kind":"arxiv","id":"1405.5808","version":3},"attestation_state":"computed","paper":{"title":"Dynamics of a Classical Particle in a Quasi Periodic Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Avy Soffer, Shmuel Fishman, Tal Kachman, Yaniv Tenenbaum Katan","submitted_at":"2014-05-22T16:02:42Z","abstract_excerpt":"We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic potential, which only includes a finite number of Fourier components. The momentum is calculated analytically for short time within a self-consistent approximation, under certain conditions.\n  We find that the dynamics can be described by a model of a random walk between the Chirikov resonances, which are resonances between the particle momentum and the Fourier components of the potential. We use numerical methods to t"},"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":"1405.5808","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-22T16:02:42Z","cross_cats_sorted":[],"title_canon_sha256":"39eede7fe678b04b2d842359a726d9802e0f443e58eb30434ecc233cd1494e12","abstract_canon_sha256":"838504e6c941b7755f47584dcc0da4027184164dbb856260c56537d72ac2f5a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:09.168901Z","signature_b64":"CJFA4PRjzjpC/4/9TAE0LB5N1EdMtIiCgLjjEvARxeev0Edxn1S4UoVlRgkmbJvxq8aAILf/4IyRrhs3TeRcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f129f8223d2be411d2cea9305b6963fb6253f9390d39af1b7a5f508361cf7262","last_reissued_at":"2026-05-18T01:43:09.168172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:09.168172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of a Classical Particle in a Quasi Periodic Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Avy Soffer, Shmuel Fishman, Tal Kachman, Yaniv Tenenbaum Katan","submitted_at":"2014-05-22T16:02:42Z","abstract_excerpt":"We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic potential, which only includes a finite number of Fourier components. The momentum is calculated analytically for short time within a self-consistent approximation, under certain conditions.\n  We find that the dynamics can be described by a model of a random walk between the Chirikov resonances, which are resonances between the particle momentum and the Fourier components of the potential. We use numerical methods to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5808","kind":"arxiv","version":3},"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":"1405.5808","created_at":"2026-05-18T01:43:09.168279+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.5808v3","created_at":"2026-05-18T01:43:09.168279+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5808","created_at":"2026-05-18T01:43:09.168279+00:00"},{"alias_kind":"pith_short_12","alias_value":"6EU7QIR5FPSB","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6EU7QIR5FPSBDUWO","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6EU7QIR5","created_at":"2026-05-18T12:28:16.859392+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/6EU7QIR5FPSBDUWOVEYFW2LD7N","json":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N.json","graph_json":"https://pith.science/api/pith-number/6EU7QIR5FPSBDUWOVEYFW2LD7N/graph.json","events_json":"https://pith.science/api/pith-number/6EU7QIR5FPSBDUWOVEYFW2LD7N/events.json","paper":"https://pith.science/paper/6EU7QIR5"},"agent_actions":{"view_html":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N","download_json":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N.json","view_paper":"https://pith.science/paper/6EU7QIR5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.5808&json=true","fetch_graph":"https://pith.science/api/pith-number/6EU7QIR5FPSBDUWOVEYFW2LD7N/graph.json","fetch_events":"https://pith.science/api/pith-number/6EU7QIR5FPSBDUWOVEYFW2LD7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N/action/storage_attestation","attest_author":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N/action/author_attestation","sign_citation":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N/action/citation_signature","submit_replication":"https://pith.science/pith/6EU7QIR5FPSBDUWOVEYFW2LD7N/action/replication_record"}},"created_at":"2026-05-18T01:43:09.168279+00:00","updated_at":"2026-05-18T01:43:09.168279+00:00"}