{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PELTHINYL2GEBYJO74R4WOQRAA","short_pith_number":"pith:PELTHINY","schema_version":"1.0","canonical_sha256":"791733a1b85e8c40e12eff23cb3a11000369e8bd5b9d43a5a00942635ae65f7e","source":{"kind":"arxiv","id":"2606.11080","version":1},"attestation_state":"computed","paper":{"title":"How to grow a straight filament","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"cond-mat.soft","authors_text":"L. Mahadevan, Ludwig A. Hoffmann","submitted_at":"2026-06-09T16:39:47Z","abstract_excerpt":"How can a growing biological filament remain straight despite stochastic fluctuations in growth? Motivated by filamentary structures that develop reproducibly across biological systems, we study the stability of a noisy, growing elastic filament regulated by feedback. We formulate a minimal model in which growth responds to the filament's strain, curvature, and orientation through local or nonlocal spatiotemporal feedback laws. Linear stability analysis identifies the conditions under which these feedback mechanisms stabilize a straight configuration. In the presence of noise, we show that pur"},"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":"2606.11080","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-09T16:39:47Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"7ef7abc8a55d7a7aa723ee0eda48f5edb6dddc7b8f64d1b1a322b6f7f67db1d5","abstract_canon_sha256":"3ba0a815677e636afebcf53f730558cd03ca1c659b8322f0fb55683f2d65fad5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:11:08.984162Z","signature_b64":"ivPSK7lWuiXqjVYgaiR2aURYiuZhs66UDF2IGcs+ZY/HN1o+6YxevhDniZndDCIWcDUScWc1we7C80gHQpDFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"791733a1b85e8c40e12eff23cb3a11000369e8bd5b9d43a5a00942635ae65f7e","last_reissued_at":"2026-06-10T01:11:08.983257Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:11:08.983257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How to grow a straight filament","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"cond-mat.soft","authors_text":"L. Mahadevan, Ludwig A. Hoffmann","submitted_at":"2026-06-09T16:39:47Z","abstract_excerpt":"How can a growing biological filament remain straight despite stochastic fluctuations in growth? Motivated by filamentary structures that develop reproducibly across biological systems, we study the stability of a noisy, growing elastic filament regulated by feedback. We formulate a minimal model in which growth responds to the filament's strain, curvature, and orientation through local or nonlocal spatiotemporal feedback laws. Linear stability analysis identifies the conditions under which these feedback mechanisms stabilize a straight configuration. In the presence of noise, we show that pur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11080","kind":"arxiv","version":1},"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/2606.11080/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":"2606.11080","created_at":"2026-06-10T01:11:08.983418+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.11080v1","created_at":"2026-06-10T01:11:08.983418+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11080","created_at":"2026-06-10T01:11:08.983418+00:00"},{"alias_kind":"pith_short_12","alias_value":"PELTHINYL2GE","created_at":"2026-06-10T01:11:08.983418+00:00"},{"alias_kind":"pith_short_16","alias_value":"PELTHINYL2GEBYJO","created_at":"2026-06-10T01:11:08.983418+00:00"},{"alias_kind":"pith_short_8","alias_value":"PELTHINY","created_at":"2026-06-10T01:11:08.983418+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/PELTHINYL2GEBYJO74R4WOQRAA","json":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA.json","graph_json":"https://pith.science/api/pith-number/PELTHINYL2GEBYJO74R4WOQRAA/graph.json","events_json":"https://pith.science/api/pith-number/PELTHINYL2GEBYJO74R4WOQRAA/events.json","paper":"https://pith.science/paper/PELTHINY"},"agent_actions":{"view_html":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA","download_json":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA.json","view_paper":"https://pith.science/paper/PELTHINY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.11080&json=true","fetch_graph":"https://pith.science/api/pith-number/PELTHINYL2GEBYJO74R4WOQRAA/graph.json","fetch_events":"https://pith.science/api/pith-number/PELTHINYL2GEBYJO74R4WOQRAA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA/action/storage_attestation","attest_author":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA/action/author_attestation","sign_citation":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA/action/citation_signature","submit_replication":"https://pith.science/pith/PELTHINYL2GEBYJO74R4WOQRAA/action/replication_record"}},"created_at":"2026-06-10T01:11:08.983418+00:00","updated_at":"2026-06-10T01:11:08.983418+00:00"}