{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:D2ITXFBZGZ6NLJ5OAPZ2JP6OB6","short_pith_number":"pith:D2ITXFBZ","schema_version":"1.0","canonical_sha256":"1e913b9439367cd5a7ae03f3a4bfce0fb60bb61ebdc077d7119cbe5a941e9dd5","source":{"kind":"arxiv","id":"1212.3743","version":1},"attestation_state":"computed","paper":{"title":"Hydrodynamics of the double-wave structure of insect spermatozoa flagella","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Eric Lauga, On Shun Pak, Saverio E. Spagnolie","submitted_at":"2012-12-16T01:13:03Z","abstract_excerpt":"In addition to conventional planar and helical flagellar waves, insect sperm flagella have also been observed to display a double-wave structure characterized by the presence of two superimposed helical waves. In this paper, we present a hydrodynamic investigation of the locomotion of insect spermatozoa exhibiting the double-wave structure, idealized here as superhelical waves. Resolving the hydrodynamic interactions with a non-local slender body theory, we predict the swimming kinematics of these superhelical swimmers based on experimentally collected geometric and kinematic data. Our conside"},"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":"1212.3743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-16T01:13:03Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"902f58fd1f57cda3676da8663f5464ba5bbfcc2057be3da6c8aac8a24a34481c","abstract_canon_sha256":"53a37326c7919c76963d21c06c3f600e5b39e3748b2dd47074604c5e059cb12e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:22.505121Z","signature_b64":"sDkik1Hp3GQIpR9P3+ejmfQjWoNwa/mf4JXURi7VNx7ZpRrsWx9N97MLovPisnWFSI3yGykn8M0Lu//oG4mlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e913b9439367cd5a7ae03f3a4bfce0fb60bb61ebdc077d7119cbe5a941e9dd5","last_reissued_at":"2026-05-18T03:38:22.504429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:22.504429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hydrodynamics of the double-wave structure of insect spermatozoa flagella","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Eric Lauga, On Shun Pak, Saverio E. Spagnolie","submitted_at":"2012-12-16T01:13:03Z","abstract_excerpt":"In addition to conventional planar and helical flagellar waves, insect sperm flagella have also been observed to display a double-wave structure characterized by the presence of two superimposed helical waves. In this paper, we present a hydrodynamic investigation of the locomotion of insect spermatozoa exhibiting the double-wave structure, idealized here as superhelical waves. Resolving the hydrodynamic interactions with a non-local slender body theory, we predict the swimming kinematics of these superhelical swimmers based on experimentally collected geometric and kinematic data. Our conside"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3743","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":""},"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":"1212.3743","created_at":"2026-05-18T03:38:22.504590+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.3743v1","created_at":"2026-05-18T03:38:22.504590+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3743","created_at":"2026-05-18T03:38:22.504590+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2ITXFBZGZ6N","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2ITXFBZGZ6NLJ5O","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2ITXFBZ","created_at":"2026-05-18T12:27:01.376967+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/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6","json":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6.json","graph_json":"https://pith.science/api/pith-number/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/graph.json","events_json":"https://pith.science/api/pith-number/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/events.json","paper":"https://pith.science/paper/D2ITXFBZ"},"agent_actions":{"view_html":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6","download_json":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6.json","view_paper":"https://pith.science/paper/D2ITXFBZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.3743&json=true","fetch_graph":"https://pith.science/api/pith-number/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/graph.json","fetch_events":"https://pith.science/api/pith-number/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/action/storage_attestation","attest_author":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/action/author_attestation","sign_citation":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/action/citation_signature","submit_replication":"https://pith.science/pith/D2ITXFBZGZ6NLJ5OAPZ2JP6OB6/action/replication_record"}},"created_at":"2026-05-18T03:38:22.504590+00:00","updated_at":"2026-05-18T03:38:22.504590+00:00"}