{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AAVVXJRULTBMWOAOG75IBDIHZF","short_pith_number":"pith:AAVVXJRU","schema_version":"1.0","canonical_sha256":"002b5ba6345cc2cb380e37fa808d07c95d33adf3fdd332f4af5e198b73e0dfb6","source":{"kind":"arxiv","id":"1311.2635","version":1},"attestation_state":"computed","paper":{"title":"Stochastic approach to diffusion inside the chaotic layer of a resonance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Armando Bazzani, Claudia M. Giordano, Mart\\'in F. Mestre, Pablo M. Cincotta","submitted_at":"2013-11-11T22:35:16Z","abstract_excerpt":"We model chaotic diffusion, in a symplectic 4D map by using the result of a theorem that was developed for stochastically perturbed integrable Hamiltonian systems. We explicitly consider a map defined by a free rotator (FR) coupled to a standard map (SM). We focus in the diffusion process in the action, $I$, of the FR, obtaining a semi--numerical method to compute the diffusion coefficient. We study two cases corresponding to a thick and a thin chaotic layer in the SM phase space and we discuss a related conjecture stated in the past. In the first case the numerically computed probability dens"},"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":"1311.2635","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-11-11T22:35:16Z","cross_cats_sorted":[],"title_canon_sha256":"43cc837217c74f8840e0e5b67ee98d5f8677618637f667706c9133ffe0a1126c","abstract_canon_sha256":"8fc5f6dca42d3e0b83bf305c883909a6168b74b8cddf4d56f31943298a97e9b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:32.136362Z","signature_b64":"UIs2He5jzziM29HhgbE/qRhEXRVe1TBsd+aElCnHKmikQBfMapmJYrrc9yY+B7jeHSewCSEZF4XPcNCi3DMgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"002b5ba6345cc2cb380e37fa808d07c95d33adf3fdd332f4af5e198b73e0dfb6","last_reissued_at":"2026-05-18T01:46:32.135729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:32.135729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic approach to diffusion inside the chaotic layer of a resonance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Armando Bazzani, Claudia M. Giordano, Mart\\'in F. Mestre, Pablo M. Cincotta","submitted_at":"2013-11-11T22:35:16Z","abstract_excerpt":"We model chaotic diffusion, in a symplectic 4D map by using the result of a theorem that was developed for stochastically perturbed integrable Hamiltonian systems. We explicitly consider a map defined by a free rotator (FR) coupled to a standard map (SM). We focus in the diffusion process in the action, $I$, of the FR, obtaining a semi--numerical method to compute the diffusion coefficient. We study two cases corresponding to a thick and a thin chaotic layer in the SM phase space and we discuss a related conjecture stated in the past. In the first case the numerically computed probability dens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2635","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":"1311.2635","created_at":"2026-05-18T01:46:32.135816+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2635v1","created_at":"2026-05-18T01:46:32.135816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2635","created_at":"2026-05-18T01:46:32.135816+00:00"},{"alias_kind":"pith_short_12","alias_value":"AAVVXJRULTBM","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AAVVXJRULTBMWOAO","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AAVVXJRU","created_at":"2026-05-18T12:27:38.830355+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/AAVVXJRULTBMWOAOG75IBDIHZF","json":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF.json","graph_json":"https://pith.science/api/pith-number/AAVVXJRULTBMWOAOG75IBDIHZF/graph.json","events_json":"https://pith.science/api/pith-number/AAVVXJRULTBMWOAOG75IBDIHZF/events.json","paper":"https://pith.science/paper/AAVVXJRU"},"agent_actions":{"view_html":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF","download_json":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF.json","view_paper":"https://pith.science/paper/AAVVXJRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2635&json=true","fetch_graph":"https://pith.science/api/pith-number/AAVVXJRULTBMWOAOG75IBDIHZF/graph.json","fetch_events":"https://pith.science/api/pith-number/AAVVXJRULTBMWOAOG75IBDIHZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF/action/storage_attestation","attest_author":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF/action/author_attestation","sign_citation":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF/action/citation_signature","submit_replication":"https://pith.science/pith/AAVVXJRULTBMWOAOG75IBDIHZF/action/replication_record"}},"created_at":"2026-05-18T01:46:32.135816+00:00","updated_at":"2026-05-18T01:46:32.135816+00:00"}