{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DJSVT7H73TLHR4GLLNMHPAKSTC","short_pith_number":"pith:DJSVT7H7","schema_version":"1.0","canonical_sha256":"1a6559fcffdcd678f0cb5b5877815298be620f3360d7f522b55626224d4d9152","source":{"kind":"arxiv","id":"1403.7573","version":1},"attestation_state":"computed","paper":{"title":"On the biharmonic curves in the special linear group $SL(2,R)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"A. Passos Passamani, I.I. Onnis","submitted_at":"2014-03-29T00:35:24Z","abstract_excerpt":"We characterize the biharmonic curves in the special linear group $SL(2,R)$. In particular, we show that all proper biharmonic curves in $SL(2,R)$are helices and we give their explicit parametrizations as curves in the pseudo-Euclidean space $R^4_2$."},"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":"1403.7573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-29T00:35:24Z","cross_cats_sorted":[],"title_canon_sha256":"cad81790ec9a91131d2c87d3b0465cfeca44bc2a56887a70f52185835c6eebed","abstract_canon_sha256":"9ad5f8029ad906cf32069743b603391b5346c8368322177ef85ddefe9a6ed98e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:19.073678Z","signature_b64":"/RFpEz/7QzLrd1k43NNvtVZozzDR/A9AeNI6YnWFFctFglKOxt4sUDKELKnVV8N9M55Xj5iry3RQP2XxdNhpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a6559fcffdcd678f0cb5b5877815298be620f3360d7f522b55626224d4d9152","last_reissued_at":"2026-05-18T02:55:19.073173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:19.073173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the biharmonic curves in the special linear group $SL(2,R)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"A. Passos Passamani, I.I. Onnis","submitted_at":"2014-03-29T00:35:24Z","abstract_excerpt":"We characterize the biharmonic curves in the special linear group $SL(2,R)$. In particular, we show that all proper biharmonic curves in $SL(2,R)$are helices and we give their explicit parametrizations as curves in the pseudo-Euclidean space $R^4_2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7573","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":"1403.7573","created_at":"2026-05-18T02:55:19.073250+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7573v1","created_at":"2026-05-18T02:55:19.073250+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7573","created_at":"2026-05-18T02:55:19.073250+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJSVT7H73TLH","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJSVT7H73TLHR4GL","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJSVT7H7","created_at":"2026-05-18T12:28:25.294606+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/DJSVT7H73TLHR4GLLNMHPAKSTC","json":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC.json","graph_json":"https://pith.science/api/pith-number/DJSVT7H73TLHR4GLLNMHPAKSTC/graph.json","events_json":"https://pith.science/api/pith-number/DJSVT7H73TLHR4GLLNMHPAKSTC/events.json","paper":"https://pith.science/paper/DJSVT7H7"},"agent_actions":{"view_html":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC","download_json":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC.json","view_paper":"https://pith.science/paper/DJSVT7H7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7573&json=true","fetch_graph":"https://pith.science/api/pith-number/DJSVT7H73TLHR4GLLNMHPAKSTC/graph.json","fetch_events":"https://pith.science/api/pith-number/DJSVT7H73TLHR4GLLNMHPAKSTC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC/action/storage_attestation","attest_author":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC/action/author_attestation","sign_citation":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC/action/citation_signature","submit_replication":"https://pith.science/pith/DJSVT7H73TLHR4GLLNMHPAKSTC/action/replication_record"}},"created_at":"2026-05-18T02:55:19.073250+00:00","updated_at":"2026-05-18T02:55:19.073250+00:00"}