{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2WPR2XMQNQNLJVPSS4ZXTNV7NW","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":"64d17e0cc34c4686a4431e2aad94c194b936758373025df4d26d96602f73dd72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-12-09T11:11:56Z","title_canon_sha256":"d987feb7070df6f1aca0df0fd96553700ff6bb8e5b3f54c004a7add25cf58814"},"schema_version":"1.0","source":{"id":"1412.2916","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.2916","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1412.2916v1","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2916","created_at":"2026-05-18T02:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"2WPR2XMQNQNL","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2WPR2XMQNQNLJVPS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2WPR2XMQ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:ff223d45f117b10f033d45732de37d1f26bd7679bee78e3a7b2714c5fd9d7057","target":"graph","created_at":"2026-05-18T02:31:45Z","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":"Given a pseudoconvex domain D in C^N, N>1, we prove that there is a holomorphic function f on D such that the lengths of paths p: [0,1]--> D along which Re f is bounded above, with p(0) fixed, grow arbitrarily fast as p(1)--> bD. A consequence is the existence of a complete closed complex hypersurface M in D such that the lengths of paths p:[0,1]--> M, with p(0) fixed, grow arbitrarily fast as p(1)-->bD.","authors_text":"Josip Globevnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-12-09T11:11:56Z","title":"Holomorphic functions unbounded on curves of finite length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2916","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:dd723c90add1c2a63fb0fa6ee2945b1062d304229ea102c9c282c6b6a0732bc3","target":"record","created_at":"2026-05-18T02:31:45Z","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":"64d17e0cc34c4686a4431e2aad94c194b936758373025df4d26d96602f73dd72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-12-09T11:11:56Z","title_canon_sha256":"d987feb7070df6f1aca0df0fd96553700ff6bb8e5b3f54c004a7add25cf58814"},"schema_version":"1.0","source":{"id":"1412.2916","kind":"arxiv","version":1}},"canonical_sha256":"d59f1d5d906c1ab4d5f2973379b6bf6dbb6ad4eb41dd70245b4241fc5a79621b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d59f1d5d906c1ab4d5f2973379b6bf6dbb6ad4eb41dd70245b4241fc5a79621b","first_computed_at":"2026-05-18T02:31:45.560733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:45.560733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"09xXWjRUqct4Hr0/cEdZKwrkymPjdxhUPBFp/Qbb+8vPwae3cSSN+ijTBj+5lhQ2CBuhwKJMquZw2MNw/hKDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:45.561445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.2916","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd723c90add1c2a63fb0fa6ee2945b1062d304229ea102c9c282c6b6a0732bc3","sha256:ff223d45f117b10f033d45732de37d1f26bd7679bee78e3a7b2714c5fd9d7057"],"state_sha256":"47ef8ede310f9969f31818ab115d1d60b76b12280946c2b1564895a39f65a5d1"}