{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:YRHVXRS5ENLPPQRHAKU3IK27QK","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":"c1b64bf95ede979120064436d7da4de973799cff06886b7a5803a7283b06671e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-10-24T01:06:59Z","title_canon_sha256":"d1905392f06c5819d9b09c81c86cb16529a3087774794b695619acb52583e376"},"schema_version":"1.0","source":{"id":"cond-mat/0610651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0610651","created_at":"2026-05-18T01:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0610651v1","created_at":"2026-05-18T01:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0610651","created_at":"2026-05-18T01:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"YRHVXRS5ENLP","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"YRHVXRS5ENLPPQRH","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"YRHVXRS5","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:1a4fd7b74b7ab4b35f595a4f255a784ac3c57a41b0b62e9ae51e482fee854bb5","target":"graph","created_at":"2026-05-18T01:39:40Z","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":"Transport of molecular motors, stimulated by interactions with specific links between consecutive binding sites (called ``bridges''), is investigated theoretically by analyzing discrete-state stochastic ``burnt-bridge'' models. When an unbiased diffusing particle crosses the bridge, the link can be destroyed (``burned'') with a probability $p$, creating a biased directed motion for the particle. It is shown that for probability of burning $p=1$ the system can be mapped into one-dimensional single-particle hopping model along the periodic infinite lattice that allows one to calculate exactly al","authors_text":"Alexander Yu. Morozov, Anatoly B. Kolomeisky, Ekaterina Pronina, Maxim N. Artyomov","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-10-24T01:06:59Z","title":"Exact Solutions of Burnt-Bridge Models for Molecular Motor Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610651","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":"sha256:833458d36a168d3ff1280953c1a6eed2527b56a756ba9b727729c5c7a207af89","target":"record","created_at":"2026-05-18T01:39:40Z","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":"c1b64bf95ede979120064436d7da4de973799cff06886b7a5803a7283b06671e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-10-24T01:06:59Z","title_canon_sha256":"d1905392f06c5819d9b09c81c86cb16529a3087774794b695619acb52583e376"},"schema_version":"1.0","source":{"id":"cond-mat/0610651","kind":"arxiv","version":1}},"canonical_sha256":"c44f5bc65d2356f7c22702a9b42b5f82a2a7088330520461abe6281c12b68d21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c44f5bc65d2356f7c22702a9b42b5f82a2a7088330520461abe6281c12b68d21","first_computed_at":"2026-05-18T01:39:40.543497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:40.543497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"czNDSVhjwZXYeKaqLb5Lc+X/ttfDQ4k5g8TJDv6zPnczFPmJogI+dCs/4vtw9xmYS8m18M09s96nxPajJIcuAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:40.543954Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0610651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:833458d36a168d3ff1280953c1a6eed2527b56a756ba9b727729c5c7a207af89","sha256:1a4fd7b74b7ab4b35f595a4f255a784ac3c57a41b0b62e9ae51e482fee854bb5"],"state_sha256":"8cc009a5a8085bc7ef4d2418e7229d70b63a660800acd6a33f5d26fccf84fe06"}