{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:KNRV7WIUHFWUR7VZEGYEOOWWMG","short_pith_number":"pith:KNRV7WIU","schema_version":"1.0","canonical_sha256":"53635fd914396d48feb921b0473ad661bba6c95008be7e750253ea7fd302af57","source":{"kind":"arxiv","id":"0905.0670","version":1},"attestation_state":"computed","paper":{"title":"Constant angle surfaces in Minkowski space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Marian Ioan Munteanu, Rafael Lopez","submitted_at":"2009-05-05T19:05:46Z","abstract_excerpt":"A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector field makes a constant hyperbolic angle with a fixed timelike vector. In this work we study and classify these surfaces. In particular, we show that they are flat. Next we prove that a tangent developable surface (resp. cylinder, cone) is a constant angle surface if and only if the generating curve is a helix (resp. a straight-line, a circle)."},"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":"0905.0670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-05-05T19:05:46Z","cross_cats_sorted":[],"title_canon_sha256":"7adafb8d746f1c0a0e0da17b1d8c99a32e4e54db2247b85070124237f5edb8ad","abstract_canon_sha256":"04b3d1e7ff3fb9c5febdb16bee418e3555fba74b33cf72b432c302e9d9efe5fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:52.201271Z","signature_b64":"+ZaR6y5uqASwUjomftgo4YRoTBTY54jSYrJMv0bPvf605OGG/7xr8sHbPR5JJwnkDoq4vwxGi7VCShNV/6C6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53635fd914396d48feb921b0473ad661bba6c95008be7e750253ea7fd302af57","last_reissued_at":"2026-05-18T04:19:52.200782Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:52.200782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constant angle surfaces in Minkowski space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Marian Ioan Munteanu, Rafael Lopez","submitted_at":"2009-05-05T19:05:46Z","abstract_excerpt":"A constant angle surface in Minkowski space is a spacelike surface whose unit normal vector field makes a constant hyperbolic angle with a fixed timelike vector. In this work we study and classify these surfaces. In particular, we show that they are flat. Next we prove that a tangent developable surface (resp. cylinder, cone) is a constant angle surface if and only if the generating curve is a helix (resp. a straight-line, a circle)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0670","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":"0905.0670","created_at":"2026-05-18T04:19:52.200838+00:00"},{"alias_kind":"arxiv_version","alias_value":"0905.0670v1","created_at":"2026-05-18T04:19:52.200838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.0670","created_at":"2026-05-18T04:19:52.200838+00:00"},{"alias_kind":"pith_short_12","alias_value":"KNRV7WIUHFWU","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"KNRV7WIUHFWUR7VZ","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"KNRV7WIU","created_at":"2026-05-18T12:26:00.592388+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/KNRV7WIUHFWUR7VZEGYEOOWWMG","json":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG.json","graph_json":"https://pith.science/api/pith-number/KNRV7WIUHFWUR7VZEGYEOOWWMG/graph.json","events_json":"https://pith.science/api/pith-number/KNRV7WIUHFWUR7VZEGYEOOWWMG/events.json","paper":"https://pith.science/paper/KNRV7WIU"},"agent_actions":{"view_html":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG","download_json":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG.json","view_paper":"https://pith.science/paper/KNRV7WIU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0905.0670&json=true","fetch_graph":"https://pith.science/api/pith-number/KNRV7WIUHFWUR7VZEGYEOOWWMG/graph.json","fetch_events":"https://pith.science/api/pith-number/KNRV7WIUHFWUR7VZEGYEOOWWMG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG/action/storage_attestation","attest_author":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG/action/author_attestation","sign_citation":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG/action/citation_signature","submit_replication":"https://pith.science/pith/KNRV7WIUHFWUR7VZEGYEOOWWMG/action/replication_record"}},"created_at":"2026-05-18T04:19:52.200838+00:00","updated_at":"2026-05-18T04:19:52.200838+00:00"}