{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DWGJVY7GBO4QXFEZUX6LVA76WG","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":"549ba8676f290cfcbc55f184856bf9536fa062ecd15d31f472644bdf5e188e37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-29T20:23:53Z","title_canon_sha256":"33e7a202366184fb0b38c396065f4f2fd020488ad614744bce9c5f8830aa225f"},"schema_version":"1.0","source":{"id":"1012.6022","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.6022","created_at":"2026-05-18T02:51:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.6022v3","created_at":"2026-05-18T02:51:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.6022","created_at":"2026-05-18T02:51:23Z"},{"alias_kind":"pith_short_12","alias_value":"DWGJVY7GBO4Q","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DWGJVY7GBO4QXFEZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DWGJVY7G","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:c80b4bac37e1bf87d4e034add01d35302f2abdcce84c16ccb9d82be5e3ba2cc0","target":"graph","created_at":"2026-05-18T02:51:23Z","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 prove that an open set $D$ in $\\C^n$ is pseudoconvex if and only if for any $z\\in D$ the largest balanced domain centered at $z$ and contained in $D$ is pseudoconvex, and consider analogues of that characterization in the linearly convex case.","authors_text":"Nikolai Nikolov, Pascal J. Thomas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-29T20:23:53Z","title":"Rigid characterizations of pseudoconvex domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.6022","kind":"arxiv","version":3},"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":"sha256:82bbccda7c443f45f64c55a7a512df25adb83eabc768e089a0c6d9d01e3df3ed","target":"record","created_at":"2026-05-18T02:51:23Z","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":"549ba8676f290cfcbc55f184856bf9536fa062ecd15d31f472644bdf5e188e37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-29T20:23:53Z","title_canon_sha256":"33e7a202366184fb0b38c396065f4f2fd020488ad614744bce9c5f8830aa225f"},"schema_version":"1.0","source":{"id":"1012.6022","kind":"arxiv","version":3}},"canonical_sha256":"1d8c9ae3e60bb90b9499a5fcba83feb1b060c867c0d1282db60d9b418b6182a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d8c9ae3e60bb90b9499a5fcba83feb1b060c867c0d1282db60d9b418b6182a2","first_computed_at":"2026-05-18T02:51:23.753380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:23.753380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RraZsI5+f3vqMZdR0HnZEXA+s8ioQ1Apj2vLxvOqBc0w7n4/PlaTwR1s1Lx2+V3ZE49BGhwsXVswWcoPiLtXDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:23.753952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.6022","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82bbccda7c443f45f64c55a7a512df25adb83eabc768e089a0c6d9d01e3df3ed","sha256:c80b4bac37e1bf87d4e034add01d35302f2abdcce84c16ccb9d82be5e3ba2cc0"],"state_sha256":"5ebefc49334421c6f1e9195c2643df5a7d29c82b4fd960da0a474f50dd845d19"}