{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JXPZPMJWA54ETV35TWMF6K76KM","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":"756d908fef422ea88c80eaf0d280d1a28975a365b14d819bf6bc47c3d4d0ebde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-26T02:00:15Z","title_canon_sha256":"1470ad1d2efe9a98f218f38e63f8519d3c652d269da47ba22c869b7ddc13de0f"},"schema_version":"1.0","source":{"id":"1402.6390","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6390","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6390v1","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6390","created_at":"2026-05-18T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"JXPZPMJWA54E","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JXPZPMJWA54ETV35","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JXPZPMJW","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:d7aa8413ee98c8b9ee45946ae34069287b090adfe925814384e88b8a70accc77","target":"graph","created_at":"2026-05-18T02:57:44Z","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":"The purpose of this paper is to present a solution to perhaps the final remaining case in the line of study concerning the generalization of Forelli's theorem on the complex analyticity of the functions that are: (1) $\\mathcal{C}^\\infty$ smooth at a point, and (2) holomorphic along the complex integral curves generated by a contracting holomorphic vector field with an isolated zero at the same point.","authors_text":"Gerd Schmalz, Jae-Cheon Joo, Kang-Tae Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-26T02:00:15Z","title":"On the generalization of Forelli's theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6390","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":"sha256:0cf22f07e65d84eee62b8443cf16ae51bd662c7ee637d25fb81bf6d99567931b","target":"record","created_at":"2026-05-18T02:57:44Z","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":"756d908fef422ea88c80eaf0d280d1a28975a365b14d819bf6bc47c3d4d0ebde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-26T02:00:15Z","title_canon_sha256":"1470ad1d2efe9a98f218f38e63f8519d3c652d269da47ba22c869b7ddc13de0f"},"schema_version":"1.0","source":{"id":"1402.6390","kind":"arxiv","version":1}},"canonical_sha256":"4ddf97b136077849d77d9d985f2bfe53325ad924f3b69ff954e90549da0516a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ddf97b136077849d77d9d985f2bfe53325ad924f3b69ff954e90549da0516a5","first_computed_at":"2026-05-18T02:57:44.630370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:44.630370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XpPE0fBY78R/PZ/LaO8Pv6DpMso2SFGhV1YX5fzVcAkWvqAYPefHoNoX5Z+z8qPqnIfhUIx18i4Ra651hMiMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:44.630814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6390","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cf22f07e65d84eee62b8443cf16ae51bd662c7ee637d25fb81bf6d99567931b","sha256:d7aa8413ee98c8b9ee45946ae34069287b090adfe925814384e88b8a70accc77"],"state_sha256":"f6a86d60e6f146bbe3cdfcf6c77f65a2bc69a54b53e2720c8124e1c463cda3d4"}