{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DCMFXOIFHQJUXERH27EHJ3KDQL","short_pith_number":"pith:DCMFXOIF","canonical_record":{"source":{"id":"1201.4758","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-01-23T16:35:21Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c3c2ffccd7ce4de862ace43cf334f0b9502f43fd6a1bca56225f3d074fe78d09","abstract_canon_sha256":"775281c29d0bf4469ef66e4813cf5aa31e4c4964730b11c922c297f30245bd68"},"schema_version":"1.0"},"canonical_sha256":"18985bb9053c134b9227d7c874ed4382ec583bde388ecd9cfa9071805e24f6a4","source":{"kind":"arxiv","id":"1201.4758","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4758","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4758v2","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4758","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"DCMFXOIFHQJU","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DCMFXOIFHQJUXERH","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DCMFXOIF","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DCMFXOIFHQJUXERH27EHJ3KDQL","target":"record","payload":{"canonical_record":{"source":{"id":"1201.4758","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-01-23T16:35:21Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c3c2ffccd7ce4de862ace43cf334f0b9502f43fd6a1bca56225f3d074fe78d09","abstract_canon_sha256":"775281c29d0bf4469ef66e4813cf5aa31e4c4964730b11c922c297f30245bd68"},"schema_version":"1.0"},"canonical_sha256":"18985bb9053c134b9227d7c874ed4382ec583bde388ecd9cfa9071805e24f6a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:58.809970Z","signature_b64":"RzFu2qu4X2AtTehOFtXF1kJ0Sr/ZxSc99/NrCOlWYf/UmVUSkL87eMjNC2cWdHQbMQR/NAsIPJyMJC1jwcgoBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18985bb9053c134b9227d7c874ed4382ec583bde388ecd9cfa9071805e24f6a4","last_reissued_at":"2026-05-18T03:55:58.809449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:58.809449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.4758","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0bJVaM42zLJIJ2+F8BAtVs8iIdNiWlAQzXuvAdjFDRQOsNiozH404maR0awXRNBB/99xscz+IokMDNzemgnVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:53:22.135620Z"},"content_sha256":"d41b28744eae9515ab41f85b69c37420ecf4d16bf89024fa2434ebe649076a87","schema_version":"1.0","event_id":"sha256:d41b28744eae9515ab41f85b69c37420ecf4d16bf89024fa2434ebe649076a87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DCMFXOIFHQJUXERH27EHJ3KDQL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Directed Transport of Confined Brownian Particles with Torque","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.bio-ph","authors_text":"Lutz Schimansky-Geier, Paul K. Radtke","submitted_at":"2012-01-23T16:35:21Z","abstract_excerpt":"We investigate the influence of an external magnetic field (torque) on the motion of Brownian particles confined in a channel geometry with varying width. Furthermore, the particles are driven by random fluctuations modeled by the Ornstein-Uhlenbeck process (OUP) with given correlation time $\\tau_c$. The latter is implemented as both a thermal and a nonthermal process.\n  In contrast to the thermal OUP for the nonthermal process directed transport emerges, i.e. our setup now realizes a ratchet mechanism: Due to the assumed thermodynamic nonequilibrium situation random fluctuations are rectified"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4758","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3jtLLKa/cPYDVjVAFisRZCn1OZLMyYJ4jkymOxoM5Oxh2EmG/gSQGoQZwjfMo3AGbdf4Rd2ztnaJkGbTKtLAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:53:22.136291Z"},"content_sha256":"0b192ee265ac1381b724d4aa8d26528ddf4d4eb3a5656ed5dbec6d53ba80394b","schema_version":"1.0","event_id":"sha256:0b192ee265ac1381b724d4aa8d26528ddf4d4eb3a5656ed5dbec6d53ba80394b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DCMFXOIFHQJUXERH27EHJ3KDQL/bundle.json","state_url":"https://pith.science/pith/DCMFXOIFHQJUXERH27EHJ3KDQL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DCMFXOIFHQJUXERH27EHJ3KDQL/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":"2026-05-29T16:53:22Z","links":{"resolver":"https://pith.science/pith/DCMFXOIFHQJUXERH27EHJ3KDQL","bundle":"https://pith.science/pith/DCMFXOIFHQJUXERH27EHJ3KDQL/bundle.json","state":"https://pith.science/pith/DCMFXOIFHQJUXERH27EHJ3KDQL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DCMFXOIFHQJUXERH27EHJ3KDQL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DCMFXOIFHQJUXERH27EHJ3KDQL","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":"775281c29d0bf4469ef66e4813cf5aa31e4c4964730b11c922c297f30245bd68","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-01-23T16:35:21Z","title_canon_sha256":"c3c2ffccd7ce4de862ace43cf334f0b9502f43fd6a1bca56225f3d074fe78d09"},"schema_version":"1.0","source":{"id":"1201.4758","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4758","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4758v2","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4758","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"DCMFXOIFHQJU","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DCMFXOIFHQJUXERH","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DCMFXOIF","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:0b192ee265ac1381b724d4aa8d26528ddf4d4eb3a5656ed5dbec6d53ba80394b","target":"graph","created_at":"2026-05-18T03:55:58Z","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 investigate the influence of an external magnetic field (torque) on the motion of Brownian particles confined in a channel geometry with varying width. Furthermore, the particles are driven by random fluctuations modeled by the Ornstein-Uhlenbeck process (OUP) with given correlation time $\\tau_c$. The latter is implemented as both a thermal and a nonthermal process.\n  In contrast to the thermal OUP for the nonthermal process directed transport emerges, i.e. our setup now realizes a ratchet mechanism: Due to the assumed thermodynamic nonequilibrium situation random fluctuations are rectified","authors_text":"Lutz Schimansky-Geier, Paul K. Radtke","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-01-23T16:35:21Z","title":"Directed Transport of Confined Brownian Particles with Torque"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4758","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:d41b28744eae9515ab41f85b69c37420ecf4d16bf89024fa2434ebe649076a87","target":"record","created_at":"2026-05-18T03:55:58Z","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":"775281c29d0bf4469ef66e4813cf5aa31e4c4964730b11c922c297f30245bd68","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-01-23T16:35:21Z","title_canon_sha256":"c3c2ffccd7ce4de862ace43cf334f0b9502f43fd6a1bca56225f3d074fe78d09"},"schema_version":"1.0","source":{"id":"1201.4758","kind":"arxiv","version":2}},"canonical_sha256":"18985bb9053c134b9227d7c874ed4382ec583bde388ecd9cfa9071805e24f6a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18985bb9053c134b9227d7c874ed4382ec583bde388ecd9cfa9071805e24f6a4","first_computed_at":"2026-05-18T03:55:58.809449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:58.809449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RzFu2qu4X2AtTehOFtXF1kJ0Sr/ZxSc99/NrCOlWYf/UmVUSkL87eMjNC2cWdHQbMQR/NAsIPJyMJC1jwcgoBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:58.809970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4758","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d41b28744eae9515ab41f85b69c37420ecf4d16bf89024fa2434ebe649076a87","sha256:0b192ee265ac1381b724d4aa8d26528ddf4d4eb3a5656ed5dbec6d53ba80394b"],"state_sha256":"35a5f5baecfb6df1e2aaf7b3d97cad60e83b8d91ba741a02cc830c29678e8c86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdiSHc0Mqzt86gepDs6ck4VoKxH62HkFmeX6kXj5QG0UJDcsG3mfIpLT4OBNkfxdgH6ARk4nLoIV/lFG3gndAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:53:22.140138Z","bundle_sha256":"dc36e4dfd647f1b8713eb7e6501ec26ffa1bb5a129d301d8ca7fa52372aaa942"}}