{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AHUY2V7GYH73ILVNGYPOMU6MU7","short_pith_number":"pith:AHUY2V7G","schema_version":"1.0","canonical_sha256":"01e98d57e6c1ffb42ead361ee653cca7d83c2f8311462fab1caf7bda7104cb83","source":{"kind":"arxiv","id":"1611.07155","version":2},"attestation_state":"computed","paper":{"title":"Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Eliot Fried, Giulio G. Giusteri","submitted_at":"2016-11-22T06:17:56Z","abstract_excerpt":"We discuss how the shape of a special Cosserat rod can be represented as a path in the special Euclidean algebra. By shape we mean all those geometric features that are invariant under isometries of the three-dimensional ambient space. The representation of the shape as a path in the special Euclidean algebra is intrinsic to the description of the mechanical properties of a rod, since it is given directly in terms of the strain fields that stimulate the elastic response of special Cosserat rods. Moreover, such a representation leads naturally to discretization schemes that avoid the need for t"},"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":"1611.07155","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-22T06:17:56Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"e262e6f8f2d6e245b35115810453ed8dedce4faf4d981eef85bb0c1f7b70b69f","abstract_canon_sha256":"e996e455afb2b1a427b480f2fd9a88965048e23b3d925606cab6228fb07ab1b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:25.190448Z","signature_b64":"QwcYRSgQTHFsbqjpxMEQudicEkJQIQD5ipLoc2QWddvPGHPJjsnQfDgUUOE2mKC5kMKcTYAkvHEInh2+IPI3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01e98d57e6c1ffb42ead361ee653cca7d83c2f8311462fab1caf7bda7104cb83","last_reissued_at":"2026-05-18T00:12:25.189662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:25.189662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Eliot Fried, Giulio G. Giusteri","submitted_at":"2016-11-22T06:17:56Z","abstract_excerpt":"We discuss how the shape of a special Cosserat rod can be represented as a path in the special Euclidean algebra. By shape we mean all those geometric features that are invariant under isometries of the three-dimensional ambient space. The representation of the shape as a path in the special Euclidean algebra is intrinsic to the description of the mechanical properties of a rod, since it is given directly in terms of the strain fields that stimulate the elastic response of special Cosserat rods. Moreover, such a representation leads naturally to discretization schemes that avoid the need for t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07155","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":"1611.07155","created_at":"2026-05-18T00:12:25.189777+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.07155v2","created_at":"2026-05-18T00:12:25.189777+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07155","created_at":"2026-05-18T00:12:25.189777+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHUY2V7GYH73","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHUY2V7GYH73ILVN","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHUY2V7G","created_at":"2026-05-18T12:30:07.202191+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/AHUY2V7GYH73ILVNGYPOMU6MU7","json":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7.json","graph_json":"https://pith.science/api/pith-number/AHUY2V7GYH73ILVNGYPOMU6MU7/graph.json","events_json":"https://pith.science/api/pith-number/AHUY2V7GYH73ILVNGYPOMU6MU7/events.json","paper":"https://pith.science/paper/AHUY2V7G"},"agent_actions":{"view_html":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7","download_json":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7.json","view_paper":"https://pith.science/paper/AHUY2V7G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.07155&json=true","fetch_graph":"https://pith.science/api/pith-number/AHUY2V7GYH73ILVNGYPOMU6MU7/graph.json","fetch_events":"https://pith.science/api/pith-number/AHUY2V7GYH73ILVNGYPOMU6MU7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7/action/storage_attestation","attest_author":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7/action/author_attestation","sign_citation":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7/action/citation_signature","submit_replication":"https://pith.science/pith/AHUY2V7GYH73ILVNGYPOMU6MU7/action/replication_record"}},"created_at":"2026-05-18T00:12:25.189777+00:00","updated_at":"2026-05-18T00:12:25.189777+00:00"}