{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SD5VJSSKYX4UKGUAFXDHNAHIHF","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":"106c8bfa343ad43fda4a77224623e2724e3f3a12449ed8741f872a571d7aeeb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-16T21:54:31Z","title_canon_sha256":"97e329186857529b20d124bdf4acfb95bbcd30c15ae133fc98b7976550507903"},"schema_version":"1.0","source":{"id":"1703.05835","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05835","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05835v2","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05835","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"SD5VJSSKYX4U","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SD5VJSSKYX4UKGUA","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SD5VJSSK","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:67b5b0fb90374a72ee1a3aff8de95f17af6b29e7407c9fadf96f7d65a63dbc82","target":"graph","created_at":"2026-05-18T00:47:45Z","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":"In this paper we find the exact value region $\\mathcal V(z_0,T)$ of the point evaluation functional $f\\mapsto f(z_0)$ over the class of all holomorphic injective self-maps $f:\\mathbb D\\to\\mathbb D$ of the unit disk $\\mathbb D$ having a boundary regular fixed point at $\\sigma=-1$ with $f'(-1)=e^{T}$ and the Denjoy - Wolff point at $\\tau=1$.","authors_text":"Dmitri Prokhorov, Pavel Gumenyuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-16T21:54:31Z","title":"Value regions of univalent self-maps with two boundary fixed points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05835","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":"sha256:327884431c444487528228f9b6e8779ee851ca5354be42994abb639d114fd599","target":"record","created_at":"2026-05-18T00:47:45Z","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":"106c8bfa343ad43fda4a77224623e2724e3f3a12449ed8741f872a571d7aeeb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-16T21:54:31Z","title_canon_sha256":"97e329186857529b20d124bdf4acfb95bbcd30c15ae133fc98b7976550507903"},"schema_version":"1.0","source":{"id":"1703.05835","kind":"arxiv","version":2}},"canonical_sha256":"90fb54ca4ac5f9451a802dc67680e8395bfdf01b35d1a555aa81394def25a938","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90fb54ca4ac5f9451a802dc67680e8395bfdf01b35d1a555aa81394def25a938","first_computed_at":"2026-05-18T00:47:45.397435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:45.397435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pv0S03FYQsz9gWuwVUrrEKsBlr2JTEJRBJZ/1aRB2n4H6fWU6Dsj6hTVwgkinW1EQVgDojfIPUKkEyIkm8ytBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:45.397928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.05835","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:327884431c444487528228f9b6e8779ee851ca5354be42994abb639d114fd599","sha256:67b5b0fb90374a72ee1a3aff8de95f17af6b29e7407c9fadf96f7d65a63dbc82"],"state_sha256":"da37f39245f8e623a5a60c7e21718202336cd99136dc5dd54aa7fcba47eefd68"}