{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UCK4LK2QMUDMKXYDCDVZHY67JT","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":"1727869b4c0b2e56fbafa73fc26b39fe934a54313308d43a303c028171a37bd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-26T19:11:51Z","title_canon_sha256":"23400173d1007b81e87a367df6516ebeaf5344a624837d28b71b8b7855e2f93c"},"schema_version":"1.0","source":{"id":"1211.6064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6064","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6064v1","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6064","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"UCK4LK2QMUDM","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UCK4LK2QMUDMKXYD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UCK4LK2Q","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:54fda5e8a771b17d09242bc359fcbba3db5dbba07ddf6dd729f9635f033bea9e","target":"graph","created_at":"2026-05-18T03:39:53Z","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 prove a boundary version of the open mapping theorem for holomorphic maps between strongly pseudoconvex domains. That is, we prove that the local image of a holomorphic map $f:D\\to D'$ close to a boundary regular contact point $p\\in \\de D$ where the Jacobian is bounded from zero along normal non-tangential directions has to eventually contain every cone (and more generally every admissible region) with vertex at $f(p)$.","authors_text":"Filippo Bracci, John Erik Fornaess","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-26T19:11:51Z","title":"The range of holomorphic maps at boundary points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6064","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:bbab6e6e852246f895607fba8fa4a9885679548672e955469d6c03d2fd218fc1","target":"record","created_at":"2026-05-18T03:39:53Z","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":"1727869b4c0b2e56fbafa73fc26b39fe934a54313308d43a303c028171a37bd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-26T19:11:51Z","title_canon_sha256":"23400173d1007b81e87a367df6516ebeaf5344a624837d28b71b8b7855e2f93c"},"schema_version":"1.0","source":{"id":"1211.6064","kind":"arxiv","version":1}},"canonical_sha256":"a095c5ab506506c55f0310eb93e3df4ce59aeb387793d174cbf215b98eb31b57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a095c5ab506506c55f0310eb93e3df4ce59aeb387793d174cbf215b98eb31b57","first_computed_at":"2026-05-18T03:39:53.561746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:53.561746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qgrNZmVFQ0be/W8MpbyJOPIcZadmlRiN5KEp5lBiJKzqTQmE23UChhKNXWD1FOhUWQEyjznYybi31LNWkXizAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:53.562296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbab6e6e852246f895607fba8fa4a9885679548672e955469d6c03d2fd218fc1","sha256:54fda5e8a771b17d09242bc359fcbba3db5dbba07ddf6dd729f9635f033bea9e"],"state_sha256":"c74289d20251f3bf9e1ac300ff3bb4c822b1de03146f0aeb151fd0de3d09008e"}