{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GMGI2RPJD3MW4W2ASAVELM6AWC","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":"1dac5a32e4640744e3564ab26285d8b996ee2a217233ec73f47d45d26d67ce01","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-08-29T00:39:00Z","title_canon_sha256":"9b7ee0013535b58728bb0dbc324898c00f65025ebff4cb10ed16523ed8897f69"},"schema_version":"1.0","source":{"id":"1208.5818","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5818","created_at":"2026-05-18T03:10:55Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5818v3","created_at":"2026-05-18T03:10:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5818","created_at":"2026-05-18T03:10:55Z"},{"alias_kind":"pith_short_12","alias_value":"GMGI2RPJD3MW","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GMGI2RPJD3MW4W2A","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GMGI2RPJ","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:ba7fc2bec80203496afb105649b0ec358f672ca5eeca838cd5f3e661a013942d","target":"graph","created_at":"2026-05-18T03:10:55Z","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 present a theoretical treatment of energy transfer in a molecular motor described in terms of overdamped Brownian motion on a multidimensional tilted periodic potential. The tilt acts as a thermodynamic force driving the system out of equilibrium and, for non-separable potentials, energy transfer occurs between degrees of freedom. For deep potential wells, the continuous theory transforms to a discrete master equation that is tractable analytically. We use this master equation to derive formal expressions for the hopping rates, drift, diffusion, efficiency and rate of energy transfer in ter","authors_text":"K. J. Challis, Michael W. Jack","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-08-29T00:39:00Z","title":"Energy Transfer in a Molecular Motor in Kramers' Regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5818","kind":"arxiv","version":3},"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:f1c7a3991d92a25ea4d36d43b841b45a4557325d6509c110b27414d23a4c79fa","target":"record","created_at":"2026-05-18T03:10:55Z","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":"1dac5a32e4640744e3564ab26285d8b996ee2a217233ec73f47d45d26d67ce01","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-08-29T00:39:00Z","title_canon_sha256":"9b7ee0013535b58728bb0dbc324898c00f65025ebff4cb10ed16523ed8897f69"},"schema_version":"1.0","source":{"id":"1208.5818","kind":"arxiv","version":3}},"canonical_sha256":"330c8d45e91ed96e5b40902a45b3c0b0ab6f07c66df97973430f6a8e61f5efd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"330c8d45e91ed96e5b40902a45b3c0b0ab6f07c66df97973430f6a8e61f5efd9","first_computed_at":"2026-05-18T03:10:55.863304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:55.863304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TqIW+pqml83ouFStGD4NlUVfJIjANhRHJxGCuxFgOBWmsOr3XZ0SkibhC9YiKB69RVBi8Bf9llDLxaIrgpTFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:55.864019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5818","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1c7a3991d92a25ea4d36d43b841b45a4557325d6509c110b27414d23a4c79fa","sha256:ba7fc2bec80203496afb105649b0ec358f672ca5eeca838cd5f3e661a013942d"],"state_sha256":"f9df584e3dc2afcc26b08b37b10986c7a5b4660cbce8f7b48d9a1d4d90023680"}