{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SD5VJSSKYX4UKGUAFXDHNAHIHF","short_pith_number":"pith:SD5VJSSK","canonical_record":{"source":{"id":"1703.05835","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-16T21:54:31Z","cross_cats_sorted":[],"title_canon_sha256":"97e329186857529b20d124bdf4acfb95bbcd30c15ae133fc98b7976550507903","abstract_canon_sha256":"106c8bfa343ad43fda4a77224623e2724e3f3a12449ed8741f872a571d7aeeb3"},"schema_version":"1.0"},"canonical_sha256":"90fb54ca4ac5f9451a802dc67680e8395bfdf01b35d1a555aa81394def25a938","source":{"kind":"arxiv","id":"1703.05835","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SD5VJSSKYX4UKGUAFXDHNAHIHF","target":"record","payload":{"canonical_record":{"source":{"id":"1703.05835","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-16T21:54:31Z","cross_cats_sorted":[],"title_canon_sha256":"97e329186857529b20d124bdf4acfb95bbcd30c15ae133fc98b7976550507903","abstract_canon_sha256":"106c8bfa343ad43fda4a77224623e2724e3f3a12449ed8741f872a571d7aeeb3"},"schema_version":"1.0"},"canonical_sha256":"90fb54ca4ac5f9451a802dc67680e8395bfdf01b35d1a555aa81394def25a938","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:45.397928Z","signature_b64":"Pv0S03FYQsz9gWuwVUrrEKsBlr2JTEJRBJZ/1aRB2n4H6fWU6Dsj6hTVwgkinW1EQVgDojfIPUKkEyIkm8ytBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90fb54ca4ac5f9451a802dc67680e8395bfdf01b35d1a555aa81394def25a938","last_reissued_at":"2026-05-18T00:47:45.397435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:45.397435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.05835","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CL35gsYK1dL/KZtcHkfM03Q8UhVWXFCpK0rTtg/CFB9GUl3Ctbj5llTELzr1pFIlKeFo/8/6754eGA5DZqMLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:19:04.489846Z"},"content_sha256":"327884431c444487528228f9b6e8779ee851ca5354be42994abb639d114fd599","schema_version":"1.0","event_id":"sha256:327884431c444487528228f9b6e8779ee851ca5354be42994abb639d114fd599"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SD5VJSSKYX4UKGUAFXDHNAHIHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Value regions of univalent self-maps with two boundary fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dmitri Prokhorov, Pavel Gumenyuk","submitted_at":"2017-03-16T21:54:31Z","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 $\\tau=1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05835","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Jy8XmbO4kK/2sUHqrvwTxso0L3Tg/WmHY+gNwEcMAhscVUqZx29iivwI+xg2Bw8k+DIfwkrwqWMpG8WFVX7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:19:04.490472Z"},"content_sha256":"67b5b0fb90374a72ee1a3aff8de95f17af6b29e7407c9fadf96f7d65a63dbc82","schema_version":"1.0","event_id":"sha256:67b5b0fb90374a72ee1a3aff8de95f17af6b29e7407c9fadf96f7d65a63dbc82"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF/bundle.json","state_url":"https://pith.science/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T19:19:04Z","links":{"resolver":"https://pith.science/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF","bundle":"https://pith.science/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF/bundle.json","state":"https://pith.science/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SD5VJSSKYX4UKGUAFXDHNAHIHF/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3IhIRyYp95Fauhlv49GoqHxg1roqiOLi8xncTXTwQ+LD4nesP9lVzkh3Crzo95iKaDcUEOO2yE9RTsJ+sb/2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:19:04.493645Z","bundle_sha256":"29cd9b5497f2268d6edb6465dc936de322a12b4a501ad65b67ec8802e91cf0e7"}}