{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:26E267E5ZVDNQUKL3QOUANYFOV","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":"04a408344fef6142317be22e7b75aa19221116879b57a372b7f75f4d52dc8a7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-14T04:33:05Z","title_canon_sha256":"c309e48f88ac3d68296e7a14ee5a21c3dcd2d060a529cb284efb556a3391295f"},"schema_version":"1.0","source":{"id":"1109.2989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2989","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2989v1","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2989","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"26E267E5ZVDN","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"26E267E5ZVDNQUKL","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"26E267E5","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:b59f5577c46290dfcd0d1e92a7174e067415ecdee6a942057cb114e817418299","target":"graph","created_at":"2026-05-18T04:13:06Z","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":"We study the semicontinuity of automorphism groups for perturbations of domains in complex space or in complex manifolds. We provide a new approach to the study of such results for domains having minimal boundary smoothness. The emphasis in this study is on the low differentiability assumption and the new methodology developed accordingly.","authors_text":"AeRyeong Seo, Kang-Tae Kim, Robert E. Greene, Steven G. Krantz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-14T04:33:05Z","title":"Semi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2989","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":"sha256:8aabd28b1ffd39518508c7f3ab01c0af2b3689d25d4daaeb6d2393c3a611cd8c","target":"record","created_at":"2026-05-18T04:13:06Z","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":"04a408344fef6142317be22e7b75aa19221116879b57a372b7f75f4d52dc8a7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-14T04:33:05Z","title_canon_sha256":"c309e48f88ac3d68296e7a14ee5a21c3dcd2d060a529cb284efb556a3391295f"},"schema_version":"1.0","source":{"id":"1109.2989","kind":"arxiv","version":1}},"canonical_sha256":"d789af7c9dcd46d8514bdc1d40370575623da1255ef359c5aad664839577927e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d789af7c9dcd46d8514bdc1d40370575623da1255ef359c5aad664839577927e","first_computed_at":"2026-05-18T04:13:06.540185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:06.540185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gOUK5FCsWegMQ0tZJW0CbiKDNqU1Z/lA4ochS1zadTvkzksB5xKrCtbX2PVMQSgWmI0wCixY2NzSZXHVt3bQCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:06.540700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8aabd28b1ffd39518508c7f3ab01c0af2b3689d25d4daaeb6d2393c3a611cd8c","sha256:b59f5577c46290dfcd0d1e92a7174e067415ecdee6a942057cb114e817418299"],"state_sha256":"317003419bcc91ca1dd8e21044bf403cdad2da508083289a16fb603d033ef333"}