{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HTNRLSRIM4KRRW545K6X6FCSOZ","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":"62fad101b6b9059a21b198d0ee24c327b3f34f5d4b89d8a710bdce2548bcb64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-08T19:18:22Z","title_canon_sha256":"6ae4c1e2d40adeb134ca9310447b69bb6a1e21ee4e4ed402a90a3f4098c27863"},"schema_version":"1.0","source":{"id":"1801.02650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02650","created_at":"2026-05-18T00:26:22Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02650v1","created_at":"2026-05-18T00:26:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02650","created_at":"2026-05-18T00:26:22Z"},{"alias_kind":"pith_short_12","alias_value":"HTNRLSRIM4KR","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HTNRLSRIM4KRRW54","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HTNRLSRI","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:9d6ecbd66bbb4cb3504abab2a21d4c643153cdc39359b8a2125d24114a99494e","target":"graph","created_at":"2026-05-18T00:26:22Z","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 obtain extensions of the Poincar\\'e and Perron theorems for higher order recurrence relations and apply them to obtain an inverse type theorem for row sequences of (type II) Hermite-Pad\\'e approximation of a vector of formal power series.","authors_text":"G. L\\'opez Lagomasino, Y. Zaldivar Gerpe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-08T19:18:22Z","title":"Higher order recurrences and row sequences of Hermite-Pad\\'e approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02650","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:a61bb17f8346e7a47e8a2da345821e70b369b1676da54a0f82c68acd46a4eb6c","target":"record","created_at":"2026-05-18T00:26:22Z","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":"62fad101b6b9059a21b198d0ee24c327b3f34f5d4b89d8a710bdce2548bcb64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-08T19:18:22Z","title_canon_sha256":"6ae4c1e2d40adeb134ca9310447b69bb6a1e21ee4e4ed402a90a3f4098c27863"},"schema_version":"1.0","source":{"id":"1801.02650","kind":"arxiv","version":1}},"canonical_sha256":"3cdb15ca28671518dbbceabd7f14527657bdf57125bd8c0c29dc5f7e92316dda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cdb15ca28671518dbbceabd7f14527657bdf57125bd8c0c29dc5f7e92316dda","first_computed_at":"2026-05-18T00:26:22.821283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:22.821283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s9q/jGLkLKvAUZ++M70mAqwfq30+yU1K2o9KoLOxIX9TGH7CQKZftZ1hdsy5wezAsSYKBbXQSZ4ea/XQVrtgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:22.822743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.02650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a61bb17f8346e7a47e8a2da345821e70b369b1676da54a0f82c68acd46a4eb6c","sha256:9d6ecbd66bbb4cb3504abab2a21d4c643153cdc39359b8a2125d24114a99494e"],"state_sha256":"554046c2db712562f8aa4683d6368badc5a307e170b1831a66cd873efa02687c"}