{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:M3U24X4TOX3EPMWOITVHKXGJQ3","short_pith_number":"pith:M3U24X4T","canonical_record":{"source":{"id":"1305.5687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-24T11:13:04Z","cross_cats_sorted":[],"title_canon_sha256":"c2c631ac8b2b1f9c83b16250c29468c06cdac70d0483bf6cac6b30ecf3f27870","abstract_canon_sha256":"eba282c1cf1dcbcaac75775fa3c73ff6af9b6d8d87c79aee5fc94f76c2a67741"},"schema_version":"1.0"},"canonical_sha256":"66e9ae5f9375f647b2ce44ea755cc986c36655061c111f9200c25531c6b9dca9","source":{"kind":"arxiv","id":"1305.5687","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5687","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5687v1","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5687","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"M3U24X4TOX3E","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M3U24X4TOX3EPMWO","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M3U24X4T","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:M3U24X4TOX3EPMWOITVHKXGJQ3","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-24T11:13:04Z","cross_cats_sorted":[],"title_canon_sha256":"c2c631ac8b2b1f9c83b16250c29468c06cdac70d0483bf6cac6b30ecf3f27870","abstract_canon_sha256":"eba282c1cf1dcbcaac75775fa3c73ff6af9b6d8d87c79aee5fc94f76c2a67741"},"schema_version":"1.0"},"canonical_sha256":"66e9ae5f9375f647b2ce44ea755cc986c36655061c111f9200c25531c6b9dca9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:03.502273Z","signature_b64":"OH8toNopF52l6/qkQ3PtPHyTLexjdIMyQUdWfMyJi8GTtnEMLWrFhkZ/9WUXcfqcE4oR2MQIE6yuhfao5IOdDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66e9ae5f9375f647b2ce44ea755cc986c36655061c111f9200c25531c6b9dca9","last_reissued_at":"2026-05-18T03:25:03.501879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:03.501879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5687","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iuZuUhbzjtKpG0b0WmjFq4MwEanvML8XsFpdrneXEvhzmzmlskdZBHAuWaXCDNQQ3cWQA36cB1sp9yCC1lqcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:54:52.781918Z"},"content_sha256":"2274fd5b405f8ff6b733d75459190c2162bf1ba1e1443850cc2a2882a66474bd","schema_version":"1.0","event_id":"sha256:2274fd5b405f8ff6b733d75459190c2162bf1ba1e1443850cc2a2882a66474bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:M3U24X4TOX3EPMWOITVHKXGJQ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The coupled dynamics of two particles with different limit sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Andrew D. Burbanks, Colm Mulhern, Dirk Hennig","submitted_at":"2013-05-24T11:13:04Z","abstract_excerpt":"We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime, one particle evolves on a chaotic attractor, while the other evolves on regular periodic attractors. Notably only the latter supports coherent particle transport. The influence of the coupling between the particles is explored, and in particular how it relates to the emergence of a directed current. We show that increasing the (weak) coupling strength subdues "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5687","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ceaYozRrpTUfEwiyDrnfe/CQU9mwb09E1VDVt8sBDzHHPndvmq509p0iecaSbmRL2wSLg8iRpwfOc0BgKRQYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:54:52.782263Z"},"content_sha256":"7647f6fa6b7d2dd45727cb1b4cf6fe54f00e83dd743dfbe1aea7e872874e2a5a","schema_version":"1.0","event_id":"sha256:7647f6fa6b7d2dd45727cb1b4cf6fe54f00e83dd743dfbe1aea7e872874e2a5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M3U24X4TOX3EPMWOITVHKXGJQ3/bundle.json","state_url":"https://pith.science/pith/M3U24X4TOX3EPMWOITVHKXGJQ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M3U24X4TOX3EPMWOITVHKXGJQ3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T10:54:52Z","links":{"resolver":"https://pith.science/pith/M3U24X4TOX3EPMWOITVHKXGJQ3","bundle":"https://pith.science/pith/M3U24X4TOX3EPMWOITVHKXGJQ3/bundle.json","state":"https://pith.science/pith/M3U24X4TOX3EPMWOITVHKXGJQ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M3U24X4TOX3EPMWOITVHKXGJQ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M3U24X4TOX3EPMWOITVHKXGJQ3","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":"eba282c1cf1dcbcaac75775fa3c73ff6af9b6d8d87c79aee5fc94f76c2a67741","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-24T11:13:04Z","title_canon_sha256":"c2c631ac8b2b1f9c83b16250c29468c06cdac70d0483bf6cac6b30ecf3f27870"},"schema_version":"1.0","source":{"id":"1305.5687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5687","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5687v1","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5687","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"M3U24X4TOX3E","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M3U24X4TOX3EPMWO","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M3U24X4T","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:7647f6fa6b7d2dd45727cb1b4cf6fe54f00e83dd743dfbe1aea7e872874e2a5a","target":"graph","created_at":"2026-05-18T03:25:03Z","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":"We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime, one particle evolves on a chaotic attractor, while the other evolves on regular periodic attractors. Notably only the latter supports coherent particle transport. The influence of the coupling between the particles is explored, and in particular how it relates to the emergence of a directed current. We show that increasing the (weak) coupling strength subdues ","authors_text":"Andrew D. Burbanks, Colm Mulhern, Dirk Hennig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-24T11:13:04Z","title":"The coupled dynamics of two particles with different limit sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5687","kind":"arxiv","version":1},"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":"sha256:2274fd5b405f8ff6b733d75459190c2162bf1ba1e1443850cc2a2882a66474bd","target":"record","created_at":"2026-05-18T03:25:03Z","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":"eba282c1cf1dcbcaac75775fa3c73ff6af9b6d8d87c79aee5fc94f76c2a67741","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-24T11:13:04Z","title_canon_sha256":"c2c631ac8b2b1f9c83b16250c29468c06cdac70d0483bf6cac6b30ecf3f27870"},"schema_version":"1.0","source":{"id":"1305.5687","kind":"arxiv","version":1}},"canonical_sha256":"66e9ae5f9375f647b2ce44ea755cc986c36655061c111f9200c25531c6b9dca9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e9ae5f9375f647b2ce44ea755cc986c36655061c111f9200c25531c6b9dca9","first_computed_at":"2026-05-18T03:25:03.501879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:03.501879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OH8toNopF52l6/qkQ3PtPHyTLexjdIMyQUdWfMyJi8GTtnEMLWrFhkZ/9WUXcfqcE4oR2MQIE6yuhfao5IOdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:03.502273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2274fd5b405f8ff6b733d75459190c2162bf1ba1e1443850cc2a2882a66474bd","sha256:7647f6fa6b7d2dd45727cb1b4cf6fe54f00e83dd743dfbe1aea7e872874e2a5a"],"state_sha256":"e31f58684c94a03722f24f3534f8a8f6dd68bb05f5e1c3f5d55c0b376a3b394f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KrwqH4CnMYEvfL8ABKEgGSmbQgM8wb3+nQ5K3iRbzDJ3cRbrA0Tkt7Nnwu5Da2Ie9J2nFmXfbKThlqLKTuJkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T10:54:52.784226Z","bundle_sha256":"1427e5ba2f84384f3dcd7d5a96c06f18bc78386ca1fe8db627fdc12821893211"}}