{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:62G5GB6YADGU26JON5XP2YRBBT","short_pith_number":"pith:62G5GB6Y","schema_version":"1.0","canonical_sha256":"f68dd307d800cd4d792e6f6efd62210cdfa726e3293638c8ec9710b2094cba6d","source":{"kind":"arxiv","id":"1603.03862","version":3},"attestation_state":"computed","paper":{"title":"On nonnegatively curved hypersurfaces in hyperbolic space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jie Qing, Shiguang Ma, Vincent Bonini","submitted_at":"2016-03-12T04:57:35Z","abstract_excerpt":"In this paper we prove the conjecture of Alexander and Currier that states, except for covering maps of equidistant surfaces in hyperbolic 3-space, a complete, nonnegatively curved immersed hypersurface in hyperbolic space is necessarily properly embedded."},"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":"1603.03862","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-12T04:57:35Z","cross_cats_sorted":[],"title_canon_sha256":"8ddaa496992de104b2bc0f143bd4a24a5dac70b09de2564ca5b8f8b979b2aa3a","abstract_canon_sha256":"5c3076c881ef3d863f3f6a6310c6b1e432c87119bce527ddad9139dc26703d63"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:01.389134Z","signature_b64":"K2QbUxR7K4LUukWxT+dJfGt78wSy8jcdkUcupPh5glR7DDWn2l68zeV3+pmHXmfTkAkoE9Wvxv6RuYD/fovHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f68dd307d800cd4d792e6f6efd62210cdfa726e3293638c8ec9710b2094cba6d","last_reissued_at":"2026-05-18T00:40:01.388486Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:01.388486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On nonnegatively curved hypersurfaces in hyperbolic space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jie Qing, Shiguang Ma, Vincent Bonini","submitted_at":"2016-03-12T04:57:35Z","abstract_excerpt":"In this paper we prove the conjecture of Alexander and Currier that states, except for covering maps of equidistant surfaces in hyperbolic 3-space, a complete, nonnegatively curved immersed hypersurface in hyperbolic space is necessarily properly embedded."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03862","kind":"arxiv","version":3},"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":"1603.03862","created_at":"2026-05-18T00:40:01.388588+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.03862v3","created_at":"2026-05-18T00:40:01.388588+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03862","created_at":"2026-05-18T00:40:01.388588+00:00"},{"alias_kind":"pith_short_12","alias_value":"62G5GB6YADGU","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"62G5GB6YADGU26JO","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"62G5GB6Y","created_at":"2026-05-18T12:30:01.593930+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/62G5GB6YADGU26JON5XP2YRBBT","json":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT.json","graph_json":"https://pith.science/api/pith-number/62G5GB6YADGU26JON5XP2YRBBT/graph.json","events_json":"https://pith.science/api/pith-number/62G5GB6YADGU26JON5XP2YRBBT/events.json","paper":"https://pith.science/paper/62G5GB6Y"},"agent_actions":{"view_html":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT","download_json":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT.json","view_paper":"https://pith.science/paper/62G5GB6Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.03862&json=true","fetch_graph":"https://pith.science/api/pith-number/62G5GB6YADGU26JON5XP2YRBBT/graph.json","fetch_events":"https://pith.science/api/pith-number/62G5GB6YADGU26JON5XP2YRBBT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT/action/storage_attestation","attest_author":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT/action/author_attestation","sign_citation":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT/action/citation_signature","submit_replication":"https://pith.science/pith/62G5GB6YADGU26JON5XP2YRBBT/action/replication_record"}},"created_at":"2026-05-18T00:40:01.388588+00:00","updated_at":"2026-05-18T00:40:01.388588+00:00"}