{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:WSSXAXSQZBCX52T4MMRL7GDGHP","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":"ac7464b48c0460e8ad8f0ba79153bb52135c5c1aefe1b6685b86b3783fa4a986","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2020-08-22T14:49:17Z","title_canon_sha256":"ce0599dfcdd257d78eec24bab38f42b426b81668553944d6d1cd4a06ab05929b"},"schema_version":"1.0","source":{"id":"2008.09851","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.09851","created_at":"2026-07-05T03:09:27Z"},{"alias_kind":"arxiv_version","alias_value":"2008.09851v3","created_at":"2026-07-05T03:09:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.09851","created_at":"2026-07-05T03:09:27Z"},{"alias_kind":"pith_short_12","alias_value":"WSSXAXSQZBCX","created_at":"2026-07-05T03:09:27Z"},{"alias_kind":"pith_short_16","alias_value":"WSSXAXSQZBCX52T4","created_at":"2026-07-05T03:09:27Z"},{"alias_kind":"pith_short_8","alias_value":"WSSXAXSQ","created_at":"2026-07-05T03:09:27Z"}],"graph_snapshots":[{"event_id":"sha256:e5e540a431eb1816ca863133e8321120fa0991dd679eb7077d1ec85e281bd96f","target":"graph","created_at":"2026-07-05T03:09:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.09851/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Long cell protrusions, which are effectively one-dimensional, are highly dynamic subcellular structures. Length of many such protrusions keep fluctuating about the mean value even in the the steady state. We develop here a stochastic model motivated by length fluctuations of a type of appendage of an eukaryotic cell called flagellum (also called cilium). Exploiting the techniques developed for the calculation of level-crossing statistics of random excursions of stochastic process, we have derived analytical expressions of passage times for hitting various thresholds, sojourn times of random ex","authors_text":"Debashish Chowdhury, Swayamshree Patra","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2020-08-22T14:49:17Z","title":"Level crossing statistics in a biologically motivated model of a long dynamic protrusion: passage times, random and extreme excursions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.09851","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":"sha256:4d309e9f373d747ccead0a3c5bb315a088c25e40df68fb65a418884082e355d2","target":"record","created_at":"2026-07-05T03:09:27Z","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":"ac7464b48c0460e8ad8f0ba79153bb52135c5c1aefe1b6685b86b3783fa4a986","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2020-08-22T14:49:17Z","title_canon_sha256":"ce0599dfcdd257d78eec24bab38f42b426b81668553944d6d1cd4a06ab05929b"},"schema_version":"1.0","source":{"id":"2008.09851","kind":"arxiv","version":3}},"canonical_sha256":"b4a5705e50c8457eea7c6322bf98663beed197f7deeab3e0bac742e6b27c4591","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4a5705e50c8457eea7c6322bf98663beed197f7deeab3e0bac742e6b27c4591","first_computed_at":"2026-07-05T03:09:27.146211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:09:27.146211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K9hw4ooR4pDfqFhAgjfRW0+VsShypiB3ctshm0BseeNWIro4I3q3T35uTggFfgbSfY27s0mMANkS2+VpEJOdCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:09:27.146687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.09851","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d309e9f373d747ccead0a3c5bb315a088c25e40df68fb65a418884082e355d2","sha256:e5e540a431eb1816ca863133e8321120fa0991dd679eb7077d1ec85e281bd96f"],"state_sha256":"22569f4516b5e17fb38f7f3c9fb08beeab46309ad7cbdf189c92ecc89e68cfc7"}