{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MUJXNZ63I3FLSEFSWKA67HVPCL","short_pith_number":"pith:MUJXNZ63","schema_version":"1.0","canonical_sha256":"651376e7db46cab910b2b281ef9eaf12f73fe64633ea4fdbbaeaa0677ec2bafd","source":{"kind":"arxiv","id":"1211.1879","version":2},"attestation_state":"computed","paper":{"title":"Effect of bending rigidity on the knotting of a polymer under tension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Ard A. Louis, Christos N. Likos, Richard Matthews","submitted_at":"2012-11-08T15:18:40Z","abstract_excerpt":"A coarse-grained computational model is used to investigate how the bending rigidity of a polymer under tension affects the formation of a trefoil knot. Thermodynamic integration techniques are applied to demonstrate that the free-energy cost of forming a knot has a minimum at non-zero bending rigidity. The position of the minimum exhibits a power-law dependence on the applied tension. For knotted polymers with non-uniform bending rigidity, the knots preferentially localize in the region with a bending rigidity that minimizes the free-energy."},"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":"1211.1879","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-11-08T15:18:40Z","cross_cats_sorted":["q-bio.BM"],"title_canon_sha256":"6298a8973cb65a858dcc4129600449ba4100044080c32b1dda9919306516a49f","abstract_canon_sha256":"9b78c677666cfb1f0d2a153398e02c071a05ba16ac836912493cdead97ac09d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:04.025711Z","signature_b64":"y8L1b6K+/67g4XWtjpXQPLb4X4yWwTn3vPmpPefWR5q2pbUNT+G4BKMtMWd9EpHm3C8HFU7REYpqGYjYqx5+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"651376e7db46cab910b2b281ef9eaf12f73fe64633ea4fdbbaeaa0677ec2bafd","last_reissued_at":"2026-05-18T03:41:04.025217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:04.025217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of bending rigidity on the knotting of a polymer under tension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Ard A. Louis, Christos N. Likos, Richard Matthews","submitted_at":"2012-11-08T15:18:40Z","abstract_excerpt":"A coarse-grained computational model is used to investigate how the bending rigidity of a polymer under tension affects the formation of a trefoil knot. Thermodynamic integration techniques are applied to demonstrate that the free-energy cost of forming a knot has a minimum at non-zero bending rigidity. The position of the minimum exhibits a power-law dependence on the applied tension. For knotted polymers with non-uniform bending rigidity, the knots preferentially localize in the region with a bending rigidity that minimizes the free-energy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1879","kind":"arxiv","version":2},"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":"1211.1879","created_at":"2026-05-18T03:41:04.025289+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.1879v2","created_at":"2026-05-18T03:41:04.025289+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1879","created_at":"2026-05-18T03:41:04.025289+00:00"},{"alias_kind":"pith_short_12","alias_value":"MUJXNZ63I3FL","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MUJXNZ63I3FLSEFS","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MUJXNZ63","created_at":"2026-05-18T12:27:14.488303+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/MUJXNZ63I3FLSEFSWKA67HVPCL","json":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL.json","graph_json":"https://pith.science/api/pith-number/MUJXNZ63I3FLSEFSWKA67HVPCL/graph.json","events_json":"https://pith.science/api/pith-number/MUJXNZ63I3FLSEFSWKA67HVPCL/events.json","paper":"https://pith.science/paper/MUJXNZ63"},"agent_actions":{"view_html":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL","download_json":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL.json","view_paper":"https://pith.science/paper/MUJXNZ63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.1879&json=true","fetch_graph":"https://pith.science/api/pith-number/MUJXNZ63I3FLSEFSWKA67HVPCL/graph.json","fetch_events":"https://pith.science/api/pith-number/MUJXNZ63I3FLSEFSWKA67HVPCL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL/action/storage_attestation","attest_author":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL/action/author_attestation","sign_citation":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL/action/citation_signature","submit_replication":"https://pith.science/pith/MUJXNZ63I3FLSEFSWKA67HVPCL/action/replication_record"}},"created_at":"2026-05-18T03:41:04.025289+00:00","updated_at":"2026-05-18T03:41:04.025289+00:00"}