{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WINCR3HFNSCRRTSDRKEH2A5EAK","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":"1052e73472b96e5aed21923509fb9177db0d4751400f2d49cb38139ef3e565c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-15T14:16:38Z","title_canon_sha256":"b41e19e5644857961470ef224721b306e3d16f9f19ea4a50a4de5d191de2ddbe"},"schema_version":"1.0","source":{"id":"1308.3403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3403","created_at":"2026-05-18T00:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3403v2","created_at":"2026-05-18T00:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3403","created_at":"2026-05-18T00:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"WINCR3HFNSCR","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WINCR3HFNSCRRTSD","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WINCR3HF","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:af2c75a56fe94ae87c2c31f774786bcd96e677b88633c4d7ac88011cf41a72c2","target":"graph","created_at":"2026-05-18T00:53:51Z","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":"Motivated by a sharp eigenvalue estimate for the Kohn Laplacian, we prove a theorem that characterizes the CR sphere in terms of the existence of a non-trivial complex-valued function satisfying a certain overdetermined system.","authors_text":"Duong Ngoc Son, Song-Ying Li, Xiaodong Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-15T14:16:38Z","title":"A new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3403","kind":"arxiv","version":2},"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":"sha256:1dda337bc9ce8ad90e45f43d5351fc6a9a4be5865604f2bfef4f827164a88af6","target":"record","created_at":"2026-05-18T00:53:51Z","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":"1052e73472b96e5aed21923509fb9177db0d4751400f2d49cb38139ef3e565c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-15T14:16:38Z","title_canon_sha256":"b41e19e5644857961470ef224721b306e3d16f9f19ea4a50a4de5d191de2ddbe"},"schema_version":"1.0","source":{"id":"1308.3403","kind":"arxiv","version":2}},"canonical_sha256":"b21a28ece56c8518ce438a887d03a402b0bcf8a5a2c816c0639763b9e713b70c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b21a28ece56c8518ce438a887d03a402b0bcf8a5a2c816c0639763b9e713b70c","first_computed_at":"2026-05-18T00:53:51.630309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:51.630309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q1OOWkA39qmrAOwSJqdJlEAOIA6OYxQAWmHkXI8XRp8RoEBDNKhJNX2YXWcNNynkgP8PZh+andRWWsZq92hKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:51.630915Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dda337bc9ce8ad90e45f43d5351fc6a9a4be5865604f2bfef4f827164a88af6","sha256:af2c75a56fe94ae87c2c31f774786bcd96e677b88633c4d7ac88011cf41a72c2"],"state_sha256":"f9c864c1a5cf4ee373fefb7f263351273b2fde98939cd449bbeccc14eea73a3c"}