{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:WSSXAXSQZBCX52T4MMRL7GDGHP","short_pith_number":"pith:WSSXAXSQ","schema_version":"1.0","canonical_sha256":"b4a5705e50c8457eea7c6322bf98663beed197f7deeab3e0bac742e6b27c4591","source":{"kind":"arxiv","id":"2008.09851","version":3},"attestation_state":"computed","paper":{"title":"Level crossing statistics in a biologically motivated model of a long dynamic protrusion: passage times, random and extreme excursions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"primary_cat":"q-bio.SC","authors_text":"Debashish Chowdhury, Swayamshree Patra","submitted_at":"2020-08-22T14:49:17Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2008.09851","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.SC","submitted_at":"2020-08-22T14:49:17Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"title_canon_sha256":"ce0599dfcdd257d78eec24bab38f42b426b81668553944d6d1cd4a06ab05929b","abstract_canon_sha256":"ac7464b48c0460e8ad8f0ba79153bb52135c5c1aefe1b6685b86b3783fa4a986"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:09:27.146687Z","signature_b64":"K9hw4ooR4pDfqFhAgjfRW0+VsShypiB3ctshm0BseeNWIro4I3q3T35uTggFfgbSfY27s0mMANkS2+VpEJOdCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4a5705e50c8457eea7c6322bf98663beed197f7deeab3e0bac742e6b27c4591","last_reissued_at":"2026-07-05T03:09:27.146211Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:09:27.146211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Level crossing statistics in a biologically motivated model of a long dynamic protrusion: passage times, random and extreme excursions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"primary_cat":"q-bio.SC","authors_text":"Debashish Chowdhury, Swayamshree Patra","submitted_at":"2020-08-22T14:49:17Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.09851","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.09851/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2008.09851","created_at":"2026-07-05T03:09:27.146274+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.09851v3","created_at":"2026-07-05T03:09:27.146274+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.09851","created_at":"2026-07-05T03:09:27.146274+00:00"},{"alias_kind":"pith_short_12","alias_value":"WSSXAXSQZBCX","created_at":"2026-07-05T03:09:27.146274+00:00"},{"alias_kind":"pith_short_16","alias_value":"WSSXAXSQZBCX52T4","created_at":"2026-07-05T03:09:27.146274+00:00"},{"alias_kind":"pith_short_8","alias_value":"WSSXAXSQ","created_at":"2026-07-05T03:09:27.146274+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP","json":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP.json","graph_json":"https://pith.science/api/pith-number/WSSXAXSQZBCX52T4MMRL7GDGHP/graph.json","events_json":"https://pith.science/api/pith-number/WSSXAXSQZBCX52T4MMRL7GDGHP/events.json","paper":"https://pith.science/paper/WSSXAXSQ"},"agent_actions":{"view_html":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP","download_json":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP.json","view_paper":"https://pith.science/paper/WSSXAXSQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.09851&json=true","fetch_graph":"https://pith.science/api/pith-number/WSSXAXSQZBCX52T4MMRL7GDGHP/graph.json","fetch_events":"https://pith.science/api/pith-number/WSSXAXSQZBCX52T4MMRL7GDGHP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP/action/storage_attestation","attest_author":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP/action/author_attestation","sign_citation":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP/action/citation_signature","submit_replication":"https://pith.science/pith/WSSXAXSQZBCX52T4MMRL7GDGHP/action/replication_record"}},"created_at":"2026-07-05T03:09:27.146274+00:00","updated_at":"2026-07-05T03:09:27.146274+00:00"}