{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MD6DY3DIYO3SXKGRNVEQUDWNR4","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":"b43235d552143afaf0a41f71e028afff4ca8df24557edd025be79f89c710131d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-08T12:55:02Z","title_canon_sha256":"2f3b45c12973e7069a4629720ef496ff2fe6eeb12c8fd03962200df1854c2a68"},"schema_version":"1.0","source":{"id":"1303.1976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1976","created_at":"2026-05-18T03:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1976v1","created_at":"2026-05-18T03:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1976","created_at":"2026-05-18T03:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"MD6DY3DIYO3S","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MD6DY3DIYO3SXKGR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MD6DY3DI","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:80d3da11289369dd75c932ad7502022b71ae702452a50a66ea7f3d8ab2717202","target":"graph","created_at":"2026-05-18T03:31:31Z","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":"We show that for any bounded domain $\\Omega\\subset\\Cp ^n$ of 1-type $2k $ which is locally convexifiable at $p\\in b\\Omega$, having a Stein neighborhood basis, there is a biholomorphic map $f:\\bar{\\Omega}\\rightarrow \\Cp ^n $ such that $f(p)$ is a global extreme point of type $2k$ for $f{(\\bar\\Omega)}$.","authors_text":"Erlend Fornaess Wold, John Erik Fornaess, Klas Diederich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-08T12:55:02Z","title":"Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1976","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":"sha256:14f4a9f4a40768174ace2aed5a3abe2d83e9f34595509028f9c2135bf48269fc","target":"record","created_at":"2026-05-18T03:31:31Z","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":"b43235d552143afaf0a41f71e028afff4ca8df24557edd025be79f89c710131d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-08T12:55:02Z","title_canon_sha256":"2f3b45c12973e7069a4629720ef496ff2fe6eeb12c8fd03962200df1854c2a68"},"schema_version":"1.0","source":{"id":"1303.1976","kind":"arxiv","version":1}},"canonical_sha256":"60fc3c6c68c3b72ba8d16d490a0ecd8f000e54c89c88f50cc5253b86efb4c68f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60fc3c6c68c3b72ba8d16d490a0ecd8f000e54c89c88f50cc5253b86efb4c68f","first_computed_at":"2026-05-18T03:31:31.792680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:31.792680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/89AU0UZAos6cubkRhxCDm7EoKtLfjY0ACXC4jcmDzk+hH75XPr6sok9WQYqEu9VxOkPcjuHbUM1kmQXrxjVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:31.793470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14f4a9f4a40768174ace2aed5a3abe2d83e9f34595509028f9c2135bf48269fc","sha256:80d3da11289369dd75c932ad7502022b71ae702452a50a66ea7f3d8ab2717202"],"state_sha256":"cdc356ab78c78c2e78bf52e684403dffe1fa641db02f755b0029f695cb8d3f40"}