{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CT2A64WED32AGHMZZTVHX4RYRZ","short_pith_number":"pith:CT2A64WE","schema_version":"1.0","canonical_sha256":"14f40f72c41ef4031d99ccea7bf2388e41b55325381bb51b80dc43e586c0e82c","source":{"kind":"arxiv","id":"1803.05882","version":2},"attestation_state":"computed","paper":{"title":"Index one minimal surfaces in spherical space forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Celso Viana","submitted_at":"2018-03-15T17:32:55Z","abstract_excerpt":"We prove that orientable index one minimal surfaces in spherical space forms with large fundamental group have genus at most two. This confirms a conjecture of R. Schoen for an infinite class of 3-manifolds."},"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":"1803.05882","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-15T17:32:55Z","cross_cats_sorted":[],"title_canon_sha256":"5139c4aaa4227042cd46ee881648945a86bb7f9db94693e12d0f639dbbdd8605","abstract_canon_sha256":"5ec05b0963d5f3966a95b3837b746137941007e04edba733de84ba7c97ef28bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:01.870765Z","signature_b64":"ltMF/mDTJWMIZmby9fVbsWEQ+il7U4h6DgcIIrfu0g9ULooaHVrTgD3zpQ/pgk8eebbxvTF75PzP9GlxNnGpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14f40f72c41ef4031d99ccea7bf2388e41b55325381bb51b80dc43e586c0e82c","last_reissued_at":"2026-05-17T23:59:01.870221Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:01.870221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Index one minimal surfaces in spherical space forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Celso Viana","submitted_at":"2018-03-15T17:32:55Z","abstract_excerpt":"We prove that orientable index one minimal surfaces in spherical space forms with large fundamental group have genus at most two. This confirms a conjecture of R. Schoen for an infinite class of 3-manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05882","kind":"arxiv","version":2},"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":"1803.05882","created_at":"2026-05-17T23:59:01.870298+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.05882v2","created_at":"2026-05-17T23:59:01.870298+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05882","created_at":"2026-05-17T23:59:01.870298+00:00"},{"alias_kind":"pith_short_12","alias_value":"CT2A64WED32A","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"CT2A64WED32AGHMZ","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"CT2A64WE","created_at":"2026-05-18T12:32:19.392346+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/CT2A64WED32AGHMZZTVHX4RYRZ","json":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ.json","graph_json":"https://pith.science/api/pith-number/CT2A64WED32AGHMZZTVHX4RYRZ/graph.json","events_json":"https://pith.science/api/pith-number/CT2A64WED32AGHMZZTVHX4RYRZ/events.json","paper":"https://pith.science/paper/CT2A64WE"},"agent_actions":{"view_html":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ","download_json":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ.json","view_paper":"https://pith.science/paper/CT2A64WE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.05882&json=true","fetch_graph":"https://pith.science/api/pith-number/CT2A64WED32AGHMZZTVHX4RYRZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CT2A64WED32AGHMZZTVHX4RYRZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ/action/storage_attestation","attest_author":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ/action/author_attestation","sign_citation":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ/action/citation_signature","submit_replication":"https://pith.science/pith/CT2A64WED32AGHMZZTVHX4RYRZ/action/replication_record"}},"created_at":"2026-05-17T23:59:01.870298+00:00","updated_at":"2026-05-17T23:59:01.870298+00:00"}