{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V4CD2IEQBBDW45XYAADUDDMYTW","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":"c0d1f0bae0abc9aa4e278ca8b02a59671593c8fb882dc078b52d570b4830605b","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2017-11-13T21:06:41Z","title_canon_sha256":"7bbf821f7eb633ca8eb44849f834f36436ddffd1d4bb44788a8968d1fb86cd03"},"schema_version":"1.0","source":{"id":"1711.04852","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04852","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04852v2","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04852","created_at":"2026-05-18T00:04:39Z"},{"alias_kind":"pith_short_12","alias_value":"V4CD2IEQBBDW","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V4CD2IEQBBDW45XY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V4CD2IEQ","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:7075ec111a8dcb0190d7bb5fee99b344cd05fb55275fb4dd4f94a9f715e12e7f","target":"graph","created_at":"2026-05-18T00:04:39Z","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 propose and analyze a mathematical model of cargo transport by non-processive molecular motors. In our model, the motors change states by random discrete events (corresponding to stepping and binding/unbinding), while the cargo position follows a stochastic differential equation (SDE) that depends on the discrete states of the motors. The resulting system for the cargo position is consequently an SDE that randomly switches according to a Markov jump process governing motor dynamics. To study this system we (1) cast the cargo position in a renewal theory framework and generalize the renewal ","authors_text":"Christopher E. Miles, James P. Keener, Sean D. Lawley","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2017-11-13T21:06:41Z","title":"Analysis of non-processive molecular motor transport using renewal reward theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04852","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:d1e1b4bccd8c4aa407164d979b1c5cf8b6b30617cf527bf07ca40f56d7ca3b4f","target":"record","created_at":"2026-05-18T00:04:39Z","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":"c0d1f0bae0abc9aa4e278ca8b02a59671593c8fb882dc078b52d570b4830605b","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2017-11-13T21:06:41Z","title_canon_sha256":"7bbf821f7eb633ca8eb44849f834f36436ddffd1d4bb44788a8968d1fb86cd03"},"schema_version":"1.0","source":{"id":"1711.04852","kind":"arxiv","version":2}},"canonical_sha256":"af043d209008476e76f80007418d989d95b908b01a46e7005858cb41464789b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af043d209008476e76f80007418d989d95b908b01a46e7005858cb41464789b6","first_computed_at":"2026-05-18T00:04:39.852013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:39.852013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DZEHWMoa05bYfT2M2BUfkq8mBu90mhQ/S/asZ3omekCemkIo/0Ci40T6GXKCxWb3LxHzxL6ZuoILice5P2PYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:39.852510Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04852","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1e1b4bccd8c4aa407164d979b1c5cf8b6b30617cf527bf07ca40f56d7ca3b4f","sha256:7075ec111a8dcb0190d7bb5fee99b344cd05fb55275fb4dd4f94a9f715e12e7f"],"state_sha256":"b443d3647ba6fd3fcf1e6ae8972c3103679a8325d1db213fc4b1e3f868b848f6"}