{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:F7SASWT7YQXCDISXXKKIVVVVIO","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":"45530d73af35c8eb9f5bb788edeb8856a07197fa79d3ea21e0dabf9009611d5b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-06T01:37:06Z","title_canon_sha256":"2c55dd999c27e44d131bc092886ffd7a314dc7ddecc83e38237faffd71fd81a4"},"schema_version":"1.0","source":{"id":"1510.01410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.01410","created_at":"2026-05-18T01:30:56Z"},{"alias_kind":"arxiv_version","alias_value":"1510.01410v1","created_at":"2026-05-18T01:30:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01410","created_at":"2026-05-18T01:30:56Z"},{"alias_kind":"pith_short_12","alias_value":"F7SASWT7YQXC","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"F7SASWT7YQXCDISX","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"F7SASWT7","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:06532a731b302cb3c0110906e017270457dd09dfb6b76401100ce266722f611f","target":"graph","created_at":"2026-05-18T01:30:56Z","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":"The purpose of this paper is to show that the Rudin-Carleson interpolation theorem is a direct corollary of Fatou's much older interpolation theorem (of 1906).","authors_text":"Arthur A. Danielyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-06T01:37:06Z","title":"Fatou's interpolation theorem implies the Rudin-Carleson theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01410","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":"sha256:3190334ac79bd8d371113cc7049a5a9924bb99e485eb00670ca7099e680b3fd6","target":"record","created_at":"2026-05-18T01:30:56Z","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":"45530d73af35c8eb9f5bb788edeb8856a07197fa79d3ea21e0dabf9009611d5b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-10-06T01:37:06Z","title_canon_sha256":"2c55dd999c27e44d131bc092886ffd7a314dc7ddecc83e38237faffd71fd81a4"},"schema_version":"1.0","source":{"id":"1510.01410","kind":"arxiv","version":1}},"canonical_sha256":"2fe4095a7fc42e21a257ba948ad6b5439683a77ee047c15f8684c17bef183185","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fe4095a7fc42e21a257ba948ad6b5439683a77ee047c15f8684c17bef183185","first_computed_at":"2026-05-18T01:30:56.963301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:56.963301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZuZsdZ37XGSFhsmgIqgiH1UH3k6GFFBKIJS5zG/IhKPe+XEuBONJYTno1z2EqNd3NidKeRbK/PGKZucanE9SCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:56.963937Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.01410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3190334ac79bd8d371113cc7049a5a9924bb99e485eb00670ca7099e680b3fd6","sha256:06532a731b302cb3c0110906e017270457dd09dfb6b76401100ce266722f611f"],"state_sha256":"51288a9757c7daec89ef47e55ca3fff416869039979c333990c5ba1bcb7d1869"}