{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6Z5NOEQ7PAHYQO2Q36K7W5VWTJ","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":"5550056b796d29ff2a0af011b33e78d0562c07e8d2e8773ef867d3a6f32999af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-06-02T13:24:36Z","title_canon_sha256":"1f44ab6f010f64e68a79e02b86ac77a04f4481460fa9c19453ce8ee19e2f3e62"},"schema_version":"1.0","source":{"id":"1306.0209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0209","created_at":"2026-05-18T03:21:55Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0209v1","created_at":"2026-05-18T03:21:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0209","created_at":"2026-05-18T03:21:55Z"},{"alias_kind":"pith_short_12","alias_value":"6Z5NOEQ7PAHY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6Z5NOEQ7PAHYQO2Q","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6Z5NOEQ7","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:7fae48a8c146cd68e0971f3b0654686c7c12a58193cc39add96b8a081b7187cc","target":"graph","created_at":"2026-05-18T03:21:55Z","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":"Starting from the orthogonal polynomial expansion of a function $F$ corresponding to a finite positive Borel measure with infinite compact support, we study the asymptotic behavior of certain associated rational functions (Pad\\'{e}-orthogonal approximants). We obtain both direct and inverse results relating the convergence of the poles of the approximants and the singularities of $F.$ Thereby, we obtain analogues of the theorems of E. Fabry, R. de Montessus de Ballore, V.I. Buslaev, and S.P. Suetin.","authors_text":"E.B. Saff, G. L\\'opez Lagomasino, N. Bosuwan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-06-02T13:24:36Z","title":"Determining Singularities Using Row Sequences of Pad\\'e-orthogonal Approximants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0209","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":"sha256:2d87d169fcfe4e7c4eec5700228292eb576bea2a86b5a2e25bdd204ba68eb6b3","target":"record","created_at":"2026-05-18T03:21:55Z","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":"5550056b796d29ff2a0af011b33e78d0562c07e8d2e8773ef867d3a6f32999af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-06-02T13:24:36Z","title_canon_sha256":"1f44ab6f010f64e68a79e02b86ac77a04f4481460fa9c19453ce8ee19e2f3e62"},"schema_version":"1.0","source":{"id":"1306.0209","kind":"arxiv","version":1}},"canonical_sha256":"f67ad7121f780f883b50df95fb76b69a7261ba7a96799c7e83d09f118ca4fca4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f67ad7121f780f883b50df95fb76b69a7261ba7a96799c7e83d09f118ca4fca4","first_computed_at":"2026-05-18T03:21:55.790765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:55.790765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nNfVwZwUNm9IgvPYMgwIiEl9ZEGc+XI1liOO7qhYcKMoaka1xg8I5xbfwdQql1aoy817+AltR83M4CsXQocoCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:55.791311Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d87d169fcfe4e7c4eec5700228292eb576bea2a86b5a2e25bdd204ba68eb6b3","sha256:7fae48a8c146cd68e0971f3b0654686c7c12a58193cc39add96b8a081b7187cc"],"state_sha256":"34bd90495ba486cea369536faa875df512bad162dab6341ee3e1b5932624400d"}