{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DBQRLSGBXWC3BTN3MJ327SXAOM","short_pith_number":"pith:DBQRLSGB","schema_version":"1.0","canonical_sha256":"186115c8c1bd85b0cdbb6277afcae0733272e214d701237b779b0193e15a741f","source":{"kind":"arxiv","id":"1405.0778","version":1},"attestation_state":"computed","paper":{"title":"Non-embeddability into a fixed sphere for a family of compact real algebraic hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ming Xiao, Xiaojun Huang, Xiaoshan Li","submitted_at":"2014-05-05T04:40:52Z","abstract_excerpt":"We study the holomorphic embedding problem from a compact strongly pseudoconvex real algebraic hypersurface into a sphere of higher dimension. We construct a family of compact strongly pseudoconvex hypersurfaces $M_{\\epsilon}$ in $\\mathbb{C}^2,$ and prove that for any integer $N$, there is a number $\\epsilon(N)$ with $0<\\epsilon(N)<1$ such that for any $\\epsilon$ with $0<\\epsilon<\\epsilon(N)$, $M_\\epsilon$ can not be locally holomorphically embedded into the unit sphere $\\mathbb{S}^{2N-1}$ in $\\mathbb{C}^N.$"},"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":"1405.0778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-05-05T04:40:52Z","cross_cats_sorted":[],"title_canon_sha256":"38c4b92847ccbf9089772f0892d7a0dd139c5f823645b57b9a615ed53c051735","abstract_canon_sha256":"d89f26c4659cda8c0e5b1487361876bdbb6400b3344c7750d2542b00db40358e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:40.729578Z","signature_b64":"307KQfz53Yhi2Bg+phQ5+u9GZ0FWB8FnRFqcQzvXIZqjUeGyQWarr04imffDJKrCQQdxJPpn99Rcb+boOmikDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"186115c8c1bd85b0cdbb6277afcae0733272e214d701237b779b0193e15a741f","last_reissued_at":"2026-05-18T02:52:40.729134Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:40.729134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-embeddability into a fixed sphere for a family of compact real algebraic hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ming Xiao, Xiaojun Huang, Xiaoshan Li","submitted_at":"2014-05-05T04:40:52Z","abstract_excerpt":"We study the holomorphic embedding problem from a compact strongly pseudoconvex real algebraic hypersurface into a sphere of higher dimension. We construct a family of compact strongly pseudoconvex hypersurfaces $M_{\\epsilon}$ in $\\mathbb{C}^2,$ and prove that for any integer $N$, there is a number $\\epsilon(N)$ with $0<\\epsilon(N)<1$ such that for any $\\epsilon$ with $0<\\epsilon<\\epsilon(N)$, $M_\\epsilon$ can not be locally holomorphically embedded into the unit sphere $\\mathbb{S}^{2N-1}$ in $\\mathbb{C}^N.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0778","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":"1405.0778","created_at":"2026-05-18T02:52:40.729195+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0778v1","created_at":"2026-05-18T02:52:40.729195+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0778","created_at":"2026-05-18T02:52:40.729195+00:00"},{"alias_kind":"pith_short_12","alias_value":"DBQRLSGBXWC3","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DBQRLSGBXWC3BTN3","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DBQRLSGB","created_at":"2026-05-18T12:28:25.294606+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/DBQRLSGBXWC3BTN3MJ327SXAOM","json":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM.json","graph_json":"https://pith.science/api/pith-number/DBQRLSGBXWC3BTN3MJ327SXAOM/graph.json","events_json":"https://pith.science/api/pith-number/DBQRLSGBXWC3BTN3MJ327SXAOM/events.json","paper":"https://pith.science/paper/DBQRLSGB"},"agent_actions":{"view_html":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM","download_json":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM.json","view_paper":"https://pith.science/paper/DBQRLSGB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0778&json=true","fetch_graph":"https://pith.science/api/pith-number/DBQRLSGBXWC3BTN3MJ327SXAOM/graph.json","fetch_events":"https://pith.science/api/pith-number/DBQRLSGBXWC3BTN3MJ327SXAOM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM/action/storage_attestation","attest_author":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM/action/author_attestation","sign_citation":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM/action/citation_signature","submit_replication":"https://pith.science/pith/DBQRLSGBXWC3BTN3MJ327SXAOM/action/replication_record"}},"created_at":"2026-05-18T02:52:40.729195+00:00","updated_at":"2026-05-18T02:52:40.729195+00:00"}