{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:X3D5UCDE5EH5ZZGCZ3PMP7NJBZ","short_pith_number":"pith:X3D5UCDE","schema_version":"1.0","canonical_sha256":"bec7da0864e90fdce4c2cedec7fda90e40d4846d77050655159f9f95de8378e9","source":{"kind":"arxiv","id":"1311.3996","version":1},"attestation_state":"computed","paper":{"title":"Classification of real rational knots of low degree in the 3-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Shane D'Mello","submitted_at":"2013-11-15T22:56:13Z","abstract_excerpt":"In this paper we classify, up to rigid isotopy, non-singular real rational curves of degrees less than or equal to 6 in a quadric homeomorphic to the 3-sphere. We also study their connections with rigid isotopy classes of real rational knots in $\\mathbb{RP}^3$."},"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":"1311.3996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-11-15T22:56:13Z","cross_cats_sorted":[],"title_canon_sha256":"59fb11806c442582a43f1b491bc9422f9ebcb0ed58393c8dcacd8beb9dcc7fc5","abstract_canon_sha256":"ed6ec5dfc0dffa8e637c5fe78148f70db1f9a8a1099ce979940a02dd6f93575b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:53.989736Z","signature_b64":"2NnO+hfa5xE3PHrTxrewFIxKDHPFIMrpSu3xIXMQnOSi0Sy+ng/NA600soJvex7X6u8vtWReX0NQG7lRpU7DBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bec7da0864e90fdce4c2cedec7fda90e40d4846d77050655159f9f95de8378e9","last_reissued_at":"2026-05-18T03:06:53.989107Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:53.989107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of real rational knots of low degree in the 3-sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Shane D'Mello","submitted_at":"2013-11-15T22:56:13Z","abstract_excerpt":"In this paper we classify, up to rigid isotopy, non-singular real rational curves of degrees less than or equal to 6 in a quadric homeomorphic to the 3-sphere. We also study their connections with rigid isotopy classes of real rational knots in $\\mathbb{RP}^3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3996","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":"1311.3996","created_at":"2026-05-18T03:06:53.989209+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.3996v1","created_at":"2026-05-18T03:06:53.989209+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3996","created_at":"2026-05-18T03:06:53.989209+00:00"},{"alias_kind":"pith_short_12","alias_value":"X3D5UCDE5EH5","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"X3D5UCDE5EH5ZZGC","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"X3D5UCDE","created_at":"2026-05-18T12:28:06.772260+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/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ","json":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ.json","graph_json":"https://pith.science/api/pith-number/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/graph.json","events_json":"https://pith.science/api/pith-number/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/events.json","paper":"https://pith.science/paper/X3D5UCDE"},"agent_actions":{"view_html":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ","download_json":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ.json","view_paper":"https://pith.science/paper/X3D5UCDE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.3996&json=true","fetch_graph":"https://pith.science/api/pith-number/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/graph.json","fetch_events":"https://pith.science/api/pith-number/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/action/storage_attestation","attest_author":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/action/author_attestation","sign_citation":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/action/citation_signature","submit_replication":"https://pith.science/pith/X3D5UCDE5EH5ZZGCZ3PMP7NJBZ/action/replication_record"}},"created_at":"2026-05-18T03:06:53.989209+00:00","updated_at":"2026-05-18T03:06:53.989209+00:00"}