{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DOVGSCQFDHANT5KZW4AY3WHY6I","short_pith_number":"pith:DOVGSCQF","schema_version":"1.0","canonical_sha256":"1baa690a0519c0d9f559b7018dd8f8f235930bcbe0d557d1b9f1b96bb6bb4e52","source":{"kind":"arxiv","id":"1807.06320","version":1},"attestation_state":"computed","paper":{"title":"Global and Local diffusion in the Standard Map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"George Contopoulos, Mirella Harsoula","submitted_at":"2018-07-17T10:27:49Z","abstract_excerpt":"We study the global and the local transport and diffusion in the case of the standard map, by calculating the diffusion exponent $\\mu$. In the global case we find that the mean diffusion exponent for the whole phase space is either $\\mu=1$, denoting normal diffusion or $\\mu=2$ denoting anomalous diffusion (and ballistic motion). The mean diffusion of the whole phase space is normal when no accelerator mode exist and it is anomalous (ballistic) when accelerator mode islands exist even if their area is tiny in the phase space. The local value of the diffusion exponent inside the normal islands o"},"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":"1807.06320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-07-17T10:27:49Z","cross_cats_sorted":[],"title_canon_sha256":"79f8935c9230d9797885769f90e91effa749ed5cf6ec401f6afa8ea8bca158de","abstract_canon_sha256":"64cc4850dee33beb5f6cb14399466556bfc14011be5dfe4341e0cf8dd5ba507b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:58.132420Z","signature_b64":"seUlOQ9ylJV4+sPDkmLbVCuc2Mb/MxxP9pgmQ/ShqCirhaDBZDCqYLljkdv9FPllZ1v5rcRPskZzmhueY41ICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1baa690a0519c0d9f559b7018dd8f8f235930bcbe0d557d1b9f1b96bb6bb4e52","last_reissued_at":"2026-05-18T00:09:58.131689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:58.131689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global and Local diffusion in the Standard Map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"George Contopoulos, Mirella Harsoula","submitted_at":"2018-07-17T10:27:49Z","abstract_excerpt":"We study the global and the local transport and diffusion in the case of the standard map, by calculating the diffusion exponent $\\mu$. In the global case we find that the mean diffusion exponent for the whole phase space is either $\\mu=1$, denoting normal diffusion or $\\mu=2$ denoting anomalous diffusion (and ballistic motion). The mean diffusion of the whole phase space is normal when no accelerator mode exist and it is anomalous (ballistic) when accelerator mode islands exist even if their area is tiny in the phase space. The local value of the diffusion exponent inside the normal islands o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06320","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":"1807.06320","created_at":"2026-05-18T00:09:58.131788+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.06320v1","created_at":"2026-05-18T00:09:58.131788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06320","created_at":"2026-05-18T00:09:58.131788+00:00"},{"alias_kind":"pith_short_12","alias_value":"DOVGSCQFDHAN","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DOVGSCQFDHANT5KZ","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DOVGSCQF","created_at":"2026-05-18T12:32:19.392346+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/DOVGSCQFDHANT5KZW4AY3WHY6I","json":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I.json","graph_json":"https://pith.science/api/pith-number/DOVGSCQFDHANT5KZW4AY3WHY6I/graph.json","events_json":"https://pith.science/api/pith-number/DOVGSCQFDHANT5KZW4AY3WHY6I/events.json","paper":"https://pith.science/paper/DOVGSCQF"},"agent_actions":{"view_html":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I","download_json":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I.json","view_paper":"https://pith.science/paper/DOVGSCQF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.06320&json=true","fetch_graph":"https://pith.science/api/pith-number/DOVGSCQFDHANT5KZW4AY3WHY6I/graph.json","fetch_events":"https://pith.science/api/pith-number/DOVGSCQFDHANT5KZW4AY3WHY6I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I/action/storage_attestation","attest_author":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I/action/author_attestation","sign_citation":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I/action/citation_signature","submit_replication":"https://pith.science/pith/DOVGSCQFDHANT5KZW4AY3WHY6I/action/replication_record"}},"created_at":"2026-05-18T00:09:58.131788+00:00","updated_at":"2026-05-18T00:09:58.131788+00:00"}