{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GR4EYO2R2MII7EDSQWCLFXY2VW","short_pith_number":"pith:GR4EYO2R","schema_version":"1.0","canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","source":{"kind":"arxiv","id":"1606.09141","version":1},"attestation_state":"computed","paper":{"title":"Linear Superposition of Minimal Surfaces: Generalized Helicoids and Minimal Cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jens Hoppe","submitted_at":"2016-06-29T15:04:21Z","abstract_excerpt":"Observing a linear superposition principle, a family of new minimal hypersurfaces in Euclidean space is found, as well as that linear combinations of generalized helicoids induce new algebraic minimal cones of arbitrarily high degree."},"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":"1606.09141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-29T15:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"efb9762e1d849cf62423f520f629d47bed8412a9df2e8253565020f1091c6995","abstract_canon_sha256":"5850b837e15e59ef8e3cf7fdb1b5e997239f738d88d8b8afc80bbad5d511b96a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:41.669863Z","signature_b64":"QsBez8T7ixSl5j7dHJ3v6Ic1W98WeuT7N+gUolc4v9+JNwCUHJMwGh4usWJnH1wTmQFc5cDScqUa4QlkK2pvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","last_reissued_at":"2026-05-18T01:11:41.669522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:41.669522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Superposition of Minimal Surfaces: Generalized Helicoids and Minimal Cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jens Hoppe","submitted_at":"2016-06-29T15:04:21Z","abstract_excerpt":"Observing a linear superposition principle, a family of new minimal hypersurfaces in Euclidean space is found, as well as that linear combinations of generalized helicoids induce new algebraic minimal cones of arbitrarily high degree."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09141","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":"1606.09141","created_at":"2026-05-18T01:11:41.669582+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.09141v1","created_at":"2026-05-18T01:11:41.669582+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09141","created_at":"2026-05-18T01:11:41.669582+00:00"},{"alias_kind":"pith_short_12","alias_value":"GR4EYO2R2MII","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GR4EYO2R2MII7EDS","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GR4EYO2R","created_at":"2026-05-18T12:30:19.053100+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/GR4EYO2R2MII7EDSQWCLFXY2VW","json":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW.json","graph_json":"https://pith.science/api/pith-number/GR4EYO2R2MII7EDSQWCLFXY2VW/graph.json","events_json":"https://pith.science/api/pith-number/GR4EYO2R2MII7EDSQWCLFXY2VW/events.json","paper":"https://pith.science/paper/GR4EYO2R"},"agent_actions":{"view_html":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW","download_json":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW.json","view_paper":"https://pith.science/paper/GR4EYO2R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.09141&json=true","fetch_graph":"https://pith.science/api/pith-number/GR4EYO2R2MII7EDSQWCLFXY2VW/graph.json","fetch_events":"https://pith.science/api/pith-number/GR4EYO2R2MII7EDSQWCLFXY2VW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/action/storage_attestation","attest_author":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/action/author_attestation","sign_citation":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/action/citation_signature","submit_replication":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/action/replication_record"}},"created_at":"2026-05-18T01:11:41.669582+00:00","updated_at":"2026-05-18T01:11:41.669582+00:00"}