{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:N5MKBVKAWFSADAEHCON24NIFAD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"be118c1a1a0b307215b4a26c0b11b32fe6f9d0e8b52338e49b973e28dbd3e371","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-17T22:43:59Z","title_canon_sha256":"897f3c922469085f513045551101e5d124a9654df3dba4530bb647e9defadbe4"},"schema_version":"1.0","source":{"id":"1103.3530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.3530","created_at":"2026-05-18T04:09:34Z"},{"alias_kind":"arxiv_version","alias_value":"1103.3530v2","created_at":"2026-05-18T04:09:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3530","created_at":"2026-05-18T04:09:34Z"},{"alias_kind":"pith_short_12","alias_value":"N5MKBVKAWFSA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"N5MKBVKAWFSADAEH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"N5MKBVKA","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:d295f4192e22cd04fe2b29bf164c0da7d033f66f36e5ccc5d511c55682889b71","target":"graph","created_at":"2026-05-18T04:09:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Ratchet models are prominent candidates to describe the transport phenomenum in nature in the absence of external bias. This work analyzes the parameter space of a discrete ratchet model and gives direct connections between chaotic domains and a family of isoperiodic stable structures with the ratchet current. The isoperiodic structures appear along preferred direction in the parameter space giving a guide to follow the current, which usually increases inside the structures but is independent of the corresponding period. One of such structures has the shrimp-shaped form which is known to be an","authors_text":"Alan Celestino, Cesar Manchein, Holokx A. Albuquerque, Marcus W. Beims","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-17T22:43:59Z","title":"Ratchet transport and periodic structures in parameter space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3530","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:24f917979c8489f3d4e9e72b4019d8a9c2b8f6574f7d0951762ac399e0ef7dd9","target":"record","created_at":"2026-05-18T04:09:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"be118c1a1a0b307215b4a26c0b11b32fe6f9d0e8b52338e49b973e28dbd3e371","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-17T22:43:59Z","title_canon_sha256":"897f3c922469085f513045551101e5d124a9654df3dba4530bb647e9defadbe4"},"schema_version":"1.0","source":{"id":"1103.3530","kind":"arxiv","version":2}},"canonical_sha256":"6f58a0d540b164018087139bae350500df36d4992f650f22ccaae9856f4afbd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f58a0d540b164018087139bae350500df36d4992f650f22ccaae9856f4afbd3","first_computed_at":"2026-05-18T04:09:34.860125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:34.860125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4VTXxIkSxA4Qc7QZw9LJfdyKVqaXwZALCHXrA3plVXfCTYcv/cb5T+xRP6Tlnd1OGzzwkkRGGe0NHQACZGXIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:34.860694Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.3530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24f917979c8489f3d4e9e72b4019d8a9c2b8f6574f7d0951762ac399e0ef7dd9","sha256:d295f4192e22cd04fe2b29bf164c0da7d033f66f36e5ccc5d511c55682889b71"],"state_sha256":"1f9c13d9818f87e11fbd980e65c3227c6c4076f4f8a46391d8fc9cfe08fc4574"}