{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XVT7YTHQWLGKG2T6XFNGU7N3WG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"23ec0cc6fdc4acdbcfabf387e82127756b85b843399e20d56ef511429fdb3999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-14T10:50:31Z","title_canon_sha256":"245e10202df7c7a2fe30b03df99812f3a0e814c67c60ec3d7f2b925548e507c1"},"schema_version":"1.0","source":{"id":"1401.3135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3135","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3135v1","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3135","created_at":"2026-05-18T03:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"XVT7YTHQWLGK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XVT7YTHQWLGKG2T6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XVT7YTHQ","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:bad46a85d209e4e95dda898367dc077681899c14423de23fa42d34619cdefeb7","target":"graph","created_at":"2026-05-18T03:02:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In 1977 P.Yang asked whether there exist complete immersed complex submanifolds g : M^k --> C^N with bounded image. A positive answer is known for holomorphic curves (k=1) and partial answers are known for the case when k>1. The principal result of the present paper is a construction of a holomorphic function on the open unit ball B_N of C^N whose real part is unbounded on every path in B_N of finite length that ends on the boundary of B_N. A consequence is the existence of a complete, closed, complex hypersurface in B_N. This gives a positive answer to Yang's question in all dimensions k, N, ","authors_text":"Josip Globevnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-14T10:50:31Z","title":"A complete complex hypersurface in the ball of C^N"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3135","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9dd4b2e4c682adcc7b5903c9f8e25bf64a190c8197741c2f692de040735f18e4","target":"record","created_at":"2026-05-18T03:02:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"23ec0cc6fdc4acdbcfabf387e82127756b85b843399e20d56ef511429fdb3999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-14T10:50:31Z","title_canon_sha256":"245e10202df7c7a2fe30b03df99812f3a0e814c67c60ec3d7f2b925548e507c1"},"schema_version":"1.0","source":{"id":"1401.3135","kind":"arxiv","version":1}},"canonical_sha256":"bd67fc4cf0b2cca36a7eb95a6a7dbbb1a323c0e7bf77a3cb4707502d85471b45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd67fc4cf0b2cca36a7eb95a6a7dbbb1a323c0e7bf77a3cb4707502d85471b45","first_computed_at":"2026-05-18T03:02:19.547744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:19.547744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bMJ7x2Nk1NMGMXL11MGoUBDdRBjG+7DZrZPms7S/FFWBaOgLr4f7HxGWkrk7u4zC9uU893Z9/LDvV7z70JTaAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:19.548660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dd4b2e4c682adcc7b5903c9f8e25bf64a190c8197741c2f692de040735f18e4","sha256:bad46a85d209e4e95dda898367dc077681899c14423de23fa42d34619cdefeb7"],"state_sha256":"c8902451ebd5fdbef86519ec9712bf2b1f691029b991b36000424de68a66a0b0"}