{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:J3EHWIRGV73UXCJSAGVR24H65E","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":"a26b23f780acbd34f0683872e9bcc0c57f4dbb690a8634a9022133555c7e1747","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:16:54Z","title_canon_sha256":"e19f27e4be76a7c9510cbbb02c160c97c3cc54cb8cb7c8931e2b5965e5fa7d6a"},"schema_version":"1.0","source":{"id":"0911.2560","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.2560","created_at":"2026-05-18T03:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"0911.2560v1","created_at":"2026-05-18T03:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.2560","created_at":"2026-05-18T03:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"J3EHWIRGV73U","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"J3EHWIRGV73UXCJS","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"J3EHWIRG","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:e442b4a68995486e278a84669ab29712ddbd7e38646847421a82b181e0afe02e","target":"graph","created_at":"2026-05-18T03:46:49Z","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":"Real analytic functions on the boundary of the sphere which have separate holomorphic extension along the complex lines through a boundary point have holomorphic extension to the ball. This was proved in a previous preprint by an argument of CR geometry. We give here an elementary proof based on the expansion in holomorphic and antiholomorphic powers.","authors_text":"L. Baracco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:16:54Z","title":"Holomorphic extension from the sphere to the ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.2560","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:a00ffde8cbfdf4d208efce3987e75098e5198804677f9119e3910eca07a87e63","target":"record","created_at":"2026-05-18T03:46:49Z","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":"a26b23f780acbd34f0683872e9bcc0c57f4dbb690a8634a9022133555c7e1747","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-11-13T08:16:54Z","title_canon_sha256":"e19f27e4be76a7c9510cbbb02c160c97c3cc54cb8cb7c8931e2b5965e5fa7d6a"},"schema_version":"1.0","source":{"id":"0911.2560","kind":"arxiv","version":1}},"canonical_sha256":"4ec87b2226aff74b893201ab1d70fee92c26b222d75bf7451bc285531fa8812a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ec87b2226aff74b893201ab1d70fee92c26b222d75bf7451bc285531fa8812a","first_computed_at":"2026-05-18T03:46:49.563477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:49.563477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FT07sMZ3Ui40oIlWF/szuIujawIvQ8BSnVnX83DTNXN94MipzTazOWuebT1dapNkqqPreRgSzEYx/ftNchmvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:49.564075Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.2560","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a00ffde8cbfdf4d208efce3987e75098e5198804677f9119e3910eca07a87e63","sha256:e442b4a68995486e278a84669ab29712ddbd7e38646847421a82b181e0afe02e"],"state_sha256":"4c09cac129adcf2f099a9f37ab7892a5cc8186c275f61201589cc00e02a63297"}