{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:SUEYKLM473BFQ6IV663IVD4YBE","short_pith_number":"pith:SUEYKLM4","schema_version":"1.0","canonical_sha256":"9509852d9cfec2587915f7b68a8f9809064f85aad068bcf1b726b252890eccfb","source":{"kind":"arxiv","id":"q-bio/0703032","version":3},"attestation_state":"computed","paper":{"title":"Dynamics of Microtubule Instabilities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.BM"],"primary_cat":"q-bio.QM","authors_text":"P. L. Krapivsky, S. Redner, T. Antal","submitted_at":"2007-03-14T19:03:30Z","abstract_excerpt":"We investigate the dynamics of an idealized model of microtubule growth that evolves by: (i) attachment of guanosine triphosphate (GTP) at rate lambda, (ii) conversion of GTP to guanosine diphosphate (GDP) at rate 1, and (iii) detachment of GDP at rate mu. As a function of these rates, a microtubule can grow steadily or its length can fluctuate wildly. For mu=0, we find the exact tubule and GTP cap length distributions, and power-law length distributions of GTP and GDP islands. For mu=infinity, we argue that the time between catastrophes, where the microtubule shrinks to zero length, scales as"},"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":"q-bio/0703032","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2007-03-14T19:03:30Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.BM"],"title_canon_sha256":"75f08077804f8796d0e4243258427c5ed2da44e7ad3648d496ec17eb11f23289","abstract_canon_sha256":"4fbf0b93ecf3e8f9f03769f050f90fbc2c46f2f71c59bf000aac940eedc2f85d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:54.509720Z","signature_b64":"T2g1RdJIDZN0oMlGEIXxtI43Uai4fy3JVAvJOByWm8HW/FyDNHDDSR7MUpQUiQTdaIuEwsOHRdXdAOUpSyhQDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9509852d9cfec2587915f7b68a8f9809064f85aad068bcf1b726b252890eccfb","last_reissued_at":"2026-05-18T04:34:54.509261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:54.509261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of Microtubule Instabilities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.BM"],"primary_cat":"q-bio.QM","authors_text":"P. L. Krapivsky, S. Redner, T. Antal","submitted_at":"2007-03-14T19:03:30Z","abstract_excerpt":"We investigate the dynamics of an idealized model of microtubule growth that evolves by: (i) attachment of guanosine triphosphate (GTP) at rate lambda, (ii) conversion of GTP to guanosine diphosphate (GDP) at rate 1, and (iii) detachment of GDP at rate mu. As a function of these rates, a microtubule can grow steadily or its length can fluctuate wildly. For mu=0, we find the exact tubule and GTP cap length distributions, and power-law length distributions of GTP and GDP islands. For mu=infinity, we argue that the time between catastrophes, where the microtubule shrinks to zero length, scales as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0703032","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":""},"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":"q-bio/0703032","created_at":"2026-05-18T04:34:54.509336+00:00"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0703032v3","created_at":"2026-05-18T04:34:54.509336+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0703032","created_at":"2026-05-18T04:34:54.509336+00:00"},{"alias_kind":"pith_short_12","alias_value":"SUEYKLM473BF","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"SUEYKLM473BFQ6IV","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"SUEYKLM4","created_at":"2026-05-18T12:25:56.245647+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/SUEYKLM473BFQ6IV663IVD4YBE","json":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE.json","graph_json":"https://pith.science/api/pith-number/SUEYKLM473BFQ6IV663IVD4YBE/graph.json","events_json":"https://pith.science/api/pith-number/SUEYKLM473BFQ6IV663IVD4YBE/events.json","paper":"https://pith.science/paper/SUEYKLM4"},"agent_actions":{"view_html":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE","download_json":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE.json","view_paper":"https://pith.science/paper/SUEYKLM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=q-bio/0703032&json=true","fetch_graph":"https://pith.science/api/pith-number/SUEYKLM473BFQ6IV663IVD4YBE/graph.json","fetch_events":"https://pith.science/api/pith-number/SUEYKLM473BFQ6IV663IVD4YBE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE/action/storage_attestation","attest_author":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE/action/author_attestation","sign_citation":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE/action/citation_signature","submit_replication":"https://pith.science/pith/SUEYKLM473BFQ6IV663IVD4YBE/action/replication_record"}},"created_at":"2026-05-18T04:34:54.509336+00:00","updated_at":"2026-05-18T04:34:54.509336+00:00"}