{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:G6RSRY4LJSDRKSQ3HIGG6RFB3N","short_pith_number":"pith:G6RSRY4L","schema_version":"1.0","canonical_sha256":"37a328e38b4c87154a1b3a0c6f44a1db6bd19fd82558993e6f11c4b3178fc313","source":{"kind":"arxiv","id":"0903.1348","version":1},"attestation_state":"computed","paper":{"title":"From Golden Spirals to Constant Slope Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Marian Ioan Munteanu","submitted_at":"2009-03-07T15:31:00Z","abstract_excerpt":"In this paper, we find all constant slope surfaces in the Euclidean 3-space, namely those surfaces for which the position vector of a point of the surface makes constant angle with the normal at the surface in that point. These surfaces could be thought as the bi-dimensional analogue of the generalized helices. Some pictures are drawn by using the parametric equations we found."},"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":"0903.1348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-03-07T15:31:00Z","cross_cats_sorted":[],"title_canon_sha256":"b888c59cb8fa5132a86ba3334617f11e746f9ae0d9473f8cd977e6ad11f2327a","abstract_canon_sha256":"4bca24ec815075250465635de1bf6c32445cb2bfa3c6888b627adf1c27ec2c3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:52.207623Z","signature_b64":"b2AOyPbjcdjfacxhhK68VsSZwRzgoJdQ0WzSyZUvrO1/fMXUDDLkFNGLV9Hyh3sX6XBMVL1np8LiAz0P8pRrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37a328e38b4c87154a1b3a0c6f44a1db6bd19fd82558993e6f11c4b3178fc313","last_reissued_at":"2026-05-18T04:19:52.207104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:52.207104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Golden Spirals to Constant Slope Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Marian Ioan Munteanu","submitted_at":"2009-03-07T15:31:00Z","abstract_excerpt":"In this paper, we find all constant slope surfaces in the Euclidean 3-space, namely those surfaces for which the position vector of a point of the surface makes constant angle with the normal at the surface in that point. These surfaces could be thought as the bi-dimensional analogue of the generalized helices. Some pictures are drawn by using the parametric equations we found."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1348","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":"0903.1348","created_at":"2026-05-18T04:19:52.207159+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.1348v1","created_at":"2026-05-18T04:19:52.207159+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1348","created_at":"2026-05-18T04:19:52.207159+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6RSRY4LJSDR","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6RSRY4LJSDRKSQ3","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6RSRY4L","created_at":"2026-05-18T12:25:59.703012+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/G6RSRY4LJSDRKSQ3HIGG6RFB3N","json":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N.json","graph_json":"https://pith.science/api/pith-number/G6RSRY4LJSDRKSQ3HIGG6RFB3N/graph.json","events_json":"https://pith.science/api/pith-number/G6RSRY4LJSDRKSQ3HIGG6RFB3N/events.json","paper":"https://pith.science/paper/G6RSRY4L"},"agent_actions":{"view_html":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N","download_json":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N.json","view_paper":"https://pith.science/paper/G6RSRY4L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.1348&json=true","fetch_graph":"https://pith.science/api/pith-number/G6RSRY4LJSDRKSQ3HIGG6RFB3N/graph.json","fetch_events":"https://pith.science/api/pith-number/G6RSRY4LJSDRKSQ3HIGG6RFB3N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N/action/storage_attestation","attest_author":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N/action/author_attestation","sign_citation":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N/action/citation_signature","submit_replication":"https://pith.science/pith/G6RSRY4LJSDRKSQ3HIGG6RFB3N/action/replication_record"}},"created_at":"2026-05-18T04:19:52.207159+00:00","updated_at":"2026-05-18T04:19:52.207159+00:00"}