{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XQROF3W4O5OFI47ZF6WBKTZ7MH","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":"0b0c1009cef54bdfab5877fb029dd63edd74b7c85457c22fde9c8df532be52de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2007-06-06T15:33:30Z","title_canon_sha256":"1d5eae3da09429e680dfd018533d9c44ae913fe45d619fe7b8a1d7fd22a5a7ea"},"schema_version":"1.0","source":{"id":"0706.0845","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.0845","created_at":"2026-05-18T04:27:25Z"},{"alias_kind":"arxiv_version","alias_value":"0706.0845v6","created_at":"2026-05-18T04:27:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0845","created_at":"2026-05-18T04:27:25Z"},{"alias_kind":"pith_short_12","alias_value":"XQROF3W4O5OF","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"XQROF3W4O5OFI47Z","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"XQROF3W4","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:7f0d323297e98b5aa491e9cc11e2b8c9343cc68aed61ef91075b0421d4649677","target":"graph","created_at":"2026-05-18T04:27:25Z","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":"It is proved that CR functions on a quadratic cone M in $\\C^n$, n>1, admit one-sided holomorphic extension if and only if M does not have two-sided support, a geometric condition on M which generalizes minimality in the sense of Tumanov. A biholomorphic classification of quadratic cones in $\\C^2$ is also given.","authors_text":"Debraj Chakrabarti, Rasul Shafikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2007-06-06T15:33:30Z","title":"Holomorphic Extension of CR Functions from Quadratic Cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0845","kind":"arxiv","version":6},"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":"sha256:51754ca1d1d5098b1e476a947fe79523538a0c2fe7aea13271dae5373961170d","target":"record","created_at":"2026-05-18T04:27:25Z","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":"0b0c1009cef54bdfab5877fb029dd63edd74b7c85457c22fde9c8df532be52de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2007-06-06T15:33:30Z","title_canon_sha256":"1d5eae3da09429e680dfd018533d9c44ae913fe45d619fe7b8a1d7fd22a5a7ea"},"schema_version":"1.0","source":{"id":"0706.0845","kind":"arxiv","version":6}},"canonical_sha256":"bc22e2eedc775c5473f92fac154f3f61de211cd4d4636eebccd37740c3365838","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc22e2eedc775c5473f92fac154f3f61de211cd4d4636eebccd37740c3365838","first_computed_at":"2026-05-18T04:27:25.836874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:25.836874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S+2a4qvZLEMbZzuy+8KawasDyMWZOSrHOOkYt9SU/Hy7JkHHcu38GQVxLEISx1GWlZ/iAwa0AAhN8xZS6N5ZDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:25.837536Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.0845","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51754ca1d1d5098b1e476a947fe79523538a0c2fe7aea13271dae5373961170d","sha256:7f0d323297e98b5aa491e9cc11e2b8c9343cc68aed61ef91075b0421d4649677"],"state_sha256":"d8ab50195dac950530785917352a7b289ab6c9323611ddec67e4bdb6ac697733"}