{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:H4FXZYNPSGUNDQRUBXGYTXDDNI","short_pith_number":"pith:H4FXZYNP","schema_version":"1.0","canonical_sha256":"3f0b7ce1af91a8d1c2340dcd89dc636a124380622a195e37803d5dc47f9575cb","source":{"kind":"arxiv","id":"1408.4331","version":1},"attestation_state":"computed","paper":{"title":"Submanifolds With Homothetic Gauss Map In Codimension Two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Guilherme Machado de Freitas","submitted_at":"2014-08-19T13:35:01Z","abstract_excerpt":"In this article we derive a complete classification of all submanifolds in space forms with codimension two for which the Gauss map is homothetic."},"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":"1408.4331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-19T13:35:01Z","cross_cats_sorted":[],"title_canon_sha256":"29c4e80467c3971a5f68c8536054ba62a0d23607a4cf63f50db51e10e9a0c983","abstract_canon_sha256":"44ca08c2ffdcd97c4a12e4a549e387abe6a37658407ae675e7fd78d3bd701816"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:55.671310Z","signature_b64":"JQaH08fALgYempptTNFis2qZvtzkeaeHY0pGFgDjPlLKJxC7qRb8+FtrwiGK/v6QvEdjfsgDgH6Q4RkM3yuvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f0b7ce1af91a8d1c2340dcd89dc636a124380622a195e37803d5dc47f9575cb","last_reissued_at":"2026-05-18T02:44:55.670872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:55.670872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Submanifolds With Homothetic Gauss Map In Codimension Two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Guilherme Machado de Freitas","submitted_at":"2014-08-19T13:35:01Z","abstract_excerpt":"In this article we derive a complete classification of all submanifolds in space forms with codimension two for which the Gauss map is homothetic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4331","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":"1408.4331","created_at":"2026-05-18T02:44:55.670938+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.4331v1","created_at":"2026-05-18T02:44:55.670938+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4331","created_at":"2026-05-18T02:44:55.670938+00:00"},{"alias_kind":"pith_short_12","alias_value":"H4FXZYNPSGUN","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"H4FXZYNPSGUNDQRU","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"H4FXZYNP","created_at":"2026-05-18T12:28:30.664211+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/H4FXZYNPSGUNDQRUBXGYTXDDNI","json":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI.json","graph_json":"https://pith.science/api/pith-number/H4FXZYNPSGUNDQRUBXGYTXDDNI/graph.json","events_json":"https://pith.science/api/pith-number/H4FXZYNPSGUNDQRUBXGYTXDDNI/events.json","paper":"https://pith.science/paper/H4FXZYNP"},"agent_actions":{"view_html":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI","download_json":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI.json","view_paper":"https://pith.science/paper/H4FXZYNP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.4331&json=true","fetch_graph":"https://pith.science/api/pith-number/H4FXZYNPSGUNDQRUBXGYTXDDNI/graph.json","fetch_events":"https://pith.science/api/pith-number/H4FXZYNPSGUNDQRUBXGYTXDDNI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI/action/storage_attestation","attest_author":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI/action/author_attestation","sign_citation":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI/action/citation_signature","submit_replication":"https://pith.science/pith/H4FXZYNPSGUNDQRUBXGYTXDDNI/action/replication_record"}},"created_at":"2026-05-18T02:44:55.670938+00:00","updated_at":"2026-05-18T02:44:55.670938+00:00"}