{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:JS2KV7WTEYKVSZNDBYPDQPVT3A","short_pith_number":"pith:JS2KV7WT","schema_version":"1.0","canonical_sha256":"4cb4aafed326155965a30e1e383eb3d83c3702ef825994b032281866a65faecd","source":{"kind":"arxiv","id":"1003.4639","version":2},"attestation_state":"computed","paper":{"title":"Emergence of continual directed flow in Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A.D. Burbanks, A.H. Osbaldestin, C. Mulhern, D. Hennig","submitted_at":"2010-03-24T13:24:31Z","abstract_excerpt":"We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the transporting degree of freedom, and transient chaos conspire to form the physical mechanism for the occurrence of a current.  Most importantly, after passage through the transient chaos, trajectories perform solely regular transporting motion so that the resulting current is of continual ballistic nature. This has to be distinguished from the features of tr"},"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":"1003.4639","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-24T13:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"3d86392336e5cf9b4136c64cc044cdaa4d8cd713d79500d69e330602adee3168","abstract_canon_sha256":"405365817db717d6a57eb1c70113d803c3963ca39835d25d16d6a6f8958b8aa3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:03.821639Z","signature_b64":"P4hHFE4l6/3LUuiXf/+eXCSkbO1brwZLAZjMLf48L3X8x1NIxgNa4tlh1qE07GVB3EqXYgyQ257mmG3cvJvuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cb4aafed326155965a30e1e383eb3d83c3702ef825994b032281866a65faecd","last_reissued_at":"2026-05-18T04:30:03.821240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:03.821240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emergence of continual directed flow in Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A.D. Burbanks, A.H. Osbaldestin, C. Mulhern, D. Hennig","submitted_at":"2010-03-24T13:24:31Z","abstract_excerpt":"We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the transporting degree of freedom, and transient chaos conspire to form the physical mechanism for the occurrence of a current.  Most importantly, after passage through the transient chaos, trajectories perform solely regular transporting motion so that the resulting current is of continual ballistic nature. This has to be distinguished from the features of tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.4639","kind":"arxiv","version":2},"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":"1003.4639","created_at":"2026-05-18T04:30:03.821300+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.4639v2","created_at":"2026-05-18T04:30:03.821300+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.4639","created_at":"2026-05-18T04:30:03.821300+00:00"},{"alias_kind":"pith_short_12","alias_value":"JS2KV7WTEYKV","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"JS2KV7WTEYKVSZND","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"JS2KV7WT","created_at":"2026-05-18T12:26:09.077623+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/JS2KV7WTEYKVSZNDBYPDQPVT3A","json":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A.json","graph_json":"https://pith.science/api/pith-number/JS2KV7WTEYKVSZNDBYPDQPVT3A/graph.json","events_json":"https://pith.science/api/pith-number/JS2KV7WTEYKVSZNDBYPDQPVT3A/events.json","paper":"https://pith.science/paper/JS2KV7WT"},"agent_actions":{"view_html":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A","download_json":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A.json","view_paper":"https://pith.science/paper/JS2KV7WT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.4639&json=true","fetch_graph":"https://pith.science/api/pith-number/JS2KV7WTEYKVSZNDBYPDQPVT3A/graph.json","fetch_events":"https://pith.science/api/pith-number/JS2KV7WTEYKVSZNDBYPDQPVT3A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A/action/storage_attestation","attest_author":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A/action/author_attestation","sign_citation":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A/action/citation_signature","submit_replication":"https://pith.science/pith/JS2KV7WTEYKVSZNDBYPDQPVT3A/action/replication_record"}},"created_at":"2026-05-18T04:30:03.821300+00:00","updated_at":"2026-05-18T04:30:03.821300+00:00"}