{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TQTZII45DIYFDY7GNLR6IOE2DD","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":"369b32e20a0e2223ab72d458774e8f320727b25a5bd855b3f92f5f4ef1e1ae33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-06-22T15:45:04Z","title_canon_sha256":"a41b1d1e141f2c56deec6ec4d421c0b77dcf8c947568e4ece85c779018dd6dfe"},"schema_version":"1.0","source":{"id":"1806.08735","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08735","created_at":"2026-05-18T00:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08735v1","created_at":"2026-05-18T00:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08735","created_at":"2026-05-18T00:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"TQTZII45DIYF","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TQTZII45DIYFDY7G","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TQTZII45","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:d72ec88df4b634d95f83aa3bdf5da8bb0b33ba1284d1569dc55cf670c496b50a","target":"graph","created_at":"2026-05-18T00:12:36Z","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 discuss a new approach to realization of the well-known Weierstrass's programme on efficient continuation of an analytic element corresponding to a~multivalued analytic function with finite number of branch points. Our approach is based on the use of Hermite--Pad\\'e polynomials.","authors_text":"Sergey P. Suetin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-06-22T15:45:04Z","title":"Hermite--Pad\\'e polynomials and analytic continuation: new approach and some results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08735","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":"sha256:635f1c98ad0940841b220b0a7bc87c11e4d3022f57b22d70aab0fefe0e8c80b2","target":"record","created_at":"2026-05-18T00:12:36Z","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":"369b32e20a0e2223ab72d458774e8f320727b25a5bd855b3f92f5f4ef1e1ae33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-06-22T15:45:04Z","title_canon_sha256":"a41b1d1e141f2c56deec6ec4d421c0b77dcf8c947568e4ece85c779018dd6dfe"},"schema_version":"1.0","source":{"id":"1806.08735","kind":"arxiv","version":1}},"canonical_sha256":"9c2794239d1a3051e3e66ae3e4389a18fdc7cacb8d37f56ac48b5c680b09326e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c2794239d1a3051e3e66ae3e4389a18fdc7cacb8d37f56ac48b5c680b09326e","first_computed_at":"2026-05-18T00:12:36.283467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:36.283467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E4jmAInJibjFX8jzh3XfMkNHd34WfGh+p4VCBSLyiFnj986mXDyD8GgUf2m+38FEQ5z7Ic/xFUg9moI4U7dGBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:36.283950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08735","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:635f1c98ad0940841b220b0a7bc87c11e4d3022f57b22d70aab0fefe0e8c80b2","sha256:d72ec88df4b634d95f83aa3bdf5da8bb0b33ba1284d1569dc55cf670c496b50a"],"state_sha256":"59f670790b6ea135373ca6276879832e602872ef8a4f3da9c782440733fd6ca9"}