{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:45CDQ7A2BEYCELTB5XPV2EEGHX","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":"046fa4d9e042df273b4c39f2ef1fa7cbb8ef267fc14cae5c441bf7b405fd303a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-11T06:27:09Z","title_canon_sha256":"62a8277270fa330f34a1696e0c8e534514db3821d1fc1409eb0c3200f0a5d469"},"schema_version":"1.0","source":{"id":"1704.03164","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03164","created_at":"2026-05-18T00:14:41Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03164v7","created_at":"2026-05-18T00:14:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03164","created_at":"2026-05-18T00:14:41Z"},{"alias_kind":"pith_short_12","alias_value":"45CDQ7A2BEYC","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"45CDQ7A2BEYCELTB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"45CDQ7A2","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:63493574a3df1904406e58cf8a07a2e15ff21d6d72d7cdc79d7f9cdd4b392457","target":"graph","created_at":"2026-05-18T00:14:41Z","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":"It is proved criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends of Caratheodory.","authors_text":"Sergei Volkov, Vladimir Ryazanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-11T06:27:09Z","title":"Prime ends and mappings on Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03164","kind":"arxiv","version":7},"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":"sha256:7ccff62bab54fbd64e941824df86dfa148d51dc69da6bc9293fe1287547761c6","target":"record","created_at":"2026-05-18T00:14:41Z","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":"046fa4d9e042df273b4c39f2ef1fa7cbb8ef267fc14cae5c441bf7b405fd303a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-04-11T06:27:09Z","title_canon_sha256":"62a8277270fa330f34a1696e0c8e534514db3821d1fc1409eb0c3200f0a5d469"},"schema_version":"1.0","source":{"id":"1704.03164","kind":"arxiv","version":7}},"canonical_sha256":"e744387c1a0930222e61eddf5d10863dd2c3f826671d1c84713c17fb7ed19e78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e744387c1a0930222e61eddf5d10863dd2c3f826671d1c84713c17fb7ed19e78","first_computed_at":"2026-05-18T00:14:41.241575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:41.241575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JzhCgaX8hgl+k+btXPR1/BYW1rgMFs6I/qfvj+H+ZW/g9pxw+cmy7vuxXz9l/9w5V1srI7ZXCPfVvyUAtXtEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:41.242115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03164","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ccff62bab54fbd64e941824df86dfa148d51dc69da6bc9293fe1287547761c6","sha256:63493574a3df1904406e58cf8a07a2e15ff21d6d72d7cdc79d7f9cdd4b392457"],"state_sha256":"c8d39c576ce2cabb93e670ff204341b97dea98a7be3c85efeeff0c5f4feb1abb"}