{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Y73RUTK64GVG7LMCTICM2C6JL3","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":"e3b171499a2ae0a293acd8b830fd5f1a40a9f197d8f71dab5413b2f7a00ae558","cross_cats_sorted":["math.CA","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-05-25T08:34:39Z","title_canon_sha256":"dba81e3807c90b69e102c049e96bc9e4b58e844509dba2de1ee6d6792402767c"},"schema_version":"1.0","source":{"id":"1905.10556","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10556","created_at":"2026-05-17T23:44:18Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10556v2","created_at":"2026-05-17T23:44:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10556","created_at":"2026-05-17T23:44:18Z"},{"alias_kind":"pith_short_12","alias_value":"Y73RUTK64GVG","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Y73RUTK64GVG7LMC","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Y73RUTK6","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:0ad77b90bb1a4eb59e474970a522a025bd386b9215657eaff52bf19c2dac0126","target":"graph","created_at":"2026-05-17T23:44:18Z","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 generic existence of power series a with complex coefficients a_n, such that the sequence of partial sums of a new power series where its coefficients b_n are functions of a_0, a_1, ..., a_n approximate every polynomial uniformly on every compact set K not containing the origin and with connected complement. The functions b_n are assumed to be continuous and such that for every complex numbers a_0, a_1, ... , a_{n - 1}, c there exists a complex number a_n such that b_n(a_0, a_1,..., a_{n-1}, a_n) = c. This clearly covers the case of linear functions b_n.","authors_text":"Konstantinos Maronikolakis, Vassili Nestoridis","cross_cats":["math.CA","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-05-25T08:34:39Z","title":"An extension of the universal power series of Seleznev"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10556","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:bfa5e1e5217a63b9d2fba0009c5d28d0b276a49d1a7dab5c6e372caf442895b0","target":"record","created_at":"2026-05-17T23:44:18Z","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":"e3b171499a2ae0a293acd8b830fd5f1a40a9f197d8f71dab5413b2f7a00ae558","cross_cats_sorted":["math.CA","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-05-25T08:34:39Z","title_canon_sha256":"dba81e3807c90b69e102c049e96bc9e4b58e844509dba2de1ee6d6792402767c"},"schema_version":"1.0","source":{"id":"1905.10556","kind":"arxiv","version":2}},"canonical_sha256":"c7f71a4d5ee1aa6fad829a04cd0bc95ef5c8683fef90feeb0059688b4918db02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7f71a4d5ee1aa6fad829a04cd0bc95ef5c8683fef90feeb0059688b4918db02","first_computed_at":"2026-05-17T23:44:18.460808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:18.460808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IJkqKQVnqj9C3XF3K9iISloTh3/K2pzj6jgk8TifWZyVDMvxQYDPxF15d72uCPJmWKBLyJHlWuXp85XpzG3ACA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:18.461445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10556","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfa5e1e5217a63b9d2fba0009c5d28d0b276a49d1a7dab5c6e372caf442895b0","sha256:0ad77b90bb1a4eb59e474970a522a025bd386b9215657eaff52bf19c2dac0126"],"state_sha256":"aba46a80a74766d52b27537be0bbbe9409339a55854d762d5d82ee9cd7514325"}