{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MAHRQPJSK6XCBH5K2I6VBABAQK","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":"68118cfaa52ec88e074f00bbf2d6ca98938e8738faa91a61da0b923986182399","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-15T11:30:18Z","title_canon_sha256":"111a636666e4ad3907ef8d857be68620f8b04c2165556fb3240659fd1fdb8cbb"},"schema_version":"1.0","source":{"id":"1402.3675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3675","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3675v1","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3675","created_at":"2026-05-18T02:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"MAHRQPJSK6XC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MAHRQPJSK6XCBH5K","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MAHRQPJS","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:acb9c86c2061d96e2b21eb9412901bc87c95db402c89372cb418ca727afef6e5","target":"graph","created_at":"2026-05-18T02:58:55Z","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":"Let $D$ be a bounded strongly convex domain with smooth boundary in $\\mathbb C^N$. Let $(\\phi_t)$ be a continuous semigroup of holomorphic self-maps of $D$. We prove that if $p\\in \\partial D$ is an isolated boundary regular fixed point for $\\phi_{t_0}$ for some $t_0>0$, then $p$ is a boundary regular fixed point for $\\phi_t$ for all $t\\geq 0$. Along the way we also study backward iteration sequences for elliptic holomorphic self-maps of $D$.","authors_text":"Filippo Bracci, Marco Abate","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-15T11:30:18Z","title":"Common boundary regular fixed points for holomorphic semigroups in strongly convex domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3675","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:a8a9756fa90c3a8d6033fd7d751c03cf9170e359e4e1a0e827a81da654a138a1","target":"record","created_at":"2026-05-18T02:58:55Z","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":"68118cfaa52ec88e074f00bbf2d6ca98938e8738faa91a61da0b923986182399","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-02-15T11:30:18Z","title_canon_sha256":"111a636666e4ad3907ef8d857be68620f8b04c2165556fb3240659fd1fdb8cbb"},"schema_version":"1.0","source":{"id":"1402.3675","kind":"arxiv","version":1}},"canonical_sha256":"600f183d3257ae209faad23d50802082be14fc7c21aa795a4c0992676e07ad59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"600f183d3257ae209faad23d50802082be14fc7c21aa795a4c0992676e07ad59","first_computed_at":"2026-05-18T02:58:55.868514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:55.868514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zQvx7/CjADHyQEzmVPVAq6F78moYnceWy1NFxJx6bIi+WItNSF3v2zxH5fq+DQqcAJWJcMqjB7xMbxQzwW/2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:55.869261Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8a9756fa90c3a8d6033fd7d751c03cf9170e359e4e1a0e827a81da654a138a1","sha256:acb9c86c2061d96e2b21eb9412901bc87c95db402c89372cb418ca727afef6e5"],"state_sha256":"7fc874120da92856662cba4a02612bcce6d0db231cdeca12d2f30f97720dea85"}