{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NVAIJ72DRKUM245VJJSTLS4FRW","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":"bd6927553d5b4608112282e18758609bb7380a4d169404058eafd187447526e4","cross_cats_sorted":["math.CA","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-05T15:14:48Z","title_canon_sha256":"2b84a9bb3274b4820884674350dd985f3e01ba9ba60dcbc61b92118abb3e9aff"},"schema_version":"1.0","source":{"id":"1705.02254","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02254","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02254v4","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02254","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"NVAIJ72DRKUM","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NVAIJ72DRKUM245V","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NVAIJ72D","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:77c8444e0d08f757cbf9822e606e179514ffad9a63cdb9c9dbeaf286aee15a63","target":"graph","created_at":"2026-05-18T00:09:31Z","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 show that if an open arc J of the boundary of a Jordan domain $\\Omega$ is rectifiable, then the derivative $\\Phi$' of the Riemann map $\\Phi: D\\rightarrow \\Omega$ from the open unit disk D onto $\\Omega$ behaves as an $H^1$ function when we approach the arc $\\Phi^{-1}(J^{\\prime})$,where $J^{\\prime}$ is any compact subarc of $J$. \"","authors_text":"V. Liontou, V. Nestoridis","cross_cats":["math.CA","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-05T15:14:48Z","title":"Jordan domains with a rectifiable arc in their boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02254","kind":"arxiv","version":4},"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":"sha256:294e332b46ee48140351e894400c6560f36aa975b00808d166d20f4bf17a65e4","target":"record","created_at":"2026-05-18T00:09:31Z","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":"bd6927553d5b4608112282e18758609bb7380a4d169404058eafd187447526e4","cross_cats_sorted":["math.CA","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-05T15:14:48Z","title_canon_sha256":"2b84a9bb3274b4820884674350dd985f3e01ba9ba60dcbc61b92118abb3e9aff"},"schema_version":"1.0","source":{"id":"1705.02254","kind":"arxiv","version":4}},"canonical_sha256":"6d4084ff438aa8cd73b54a6535cb858d84b203e2bc13c94c1b265f441d4cd8e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d4084ff438aa8cd73b54a6535cb858d84b203e2bc13c94c1b265f441d4cd8e5","first_computed_at":"2026-05-18T00:09:31.265016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:31.265016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XQOsZFEDz9zfeqbblvXNrIabsj8VQwBTAl0+5KrLg8WRHWjYnECWl/fNj9AYQWkON/xNt1OGt7LJTQJSTUP3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:31.265727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02254","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:294e332b46ee48140351e894400c6560f36aa975b00808d166d20f4bf17a65e4","sha256:77c8444e0d08f757cbf9822e606e179514ffad9a63cdb9c9dbeaf286aee15a63"],"state_sha256":"065aa74d2cfa1b0b5595f714f06e29dd85677cb9b137a6edc5099e9cd3a475d7"}