{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HTNRLSRIM4KRRW545K6X6FCSOZ","short_pith_number":"pith:HTNRLSRI","canonical_record":{"source":{"id":"1801.02650","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-08T19:18:22Z","cross_cats_sorted":[],"title_canon_sha256":"6ae4c1e2d40adeb134ca9310447b69bb6a1e21ee4e4ed402a90a3f4098c27863","abstract_canon_sha256":"62fad101b6b9059a21b198d0ee24c327b3f34f5d4b89d8a710bdce2548bcb64c"},"schema_version":"1.0"},"canonical_sha256":"3cdb15ca28671518dbbceabd7f14527657bdf57125bd8c0c29dc5f7e92316dda","source":{"kind":"arxiv","id":"1801.02650","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HTNRLSRIM4KRRW545K6X6FCSOZ","target":"record","payload":{"canonical_record":{"source":{"id":"1801.02650","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-08T19:18:22Z","cross_cats_sorted":[],"title_canon_sha256":"6ae4c1e2d40adeb134ca9310447b69bb6a1e21ee4e4ed402a90a3f4098c27863","abstract_canon_sha256":"62fad101b6b9059a21b198d0ee24c327b3f34f5d4b89d8a710bdce2548bcb64c"},"schema_version":"1.0"},"canonical_sha256":"3cdb15ca28671518dbbceabd7f14527657bdf57125bd8c0c29dc5f7e92316dda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:22.822743Z","signature_b64":"s9q/jGLkLKvAUZ++M70mAqwfq30+yU1K2o9KoLOxIX9TGH7CQKZftZ1hdsy5wezAsSYKBbXQSZ4ea/XQVrtgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cdb15ca28671518dbbceabd7f14527657bdf57125bd8c0c29dc5f7e92316dda","last_reissued_at":"2026-05-18T00:26:22.821283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:22.821283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.02650","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZBUQAgelU4f0WXM1iJiq5P5jOfYiF5OhI3VUwptAe9HZvnn+TMOnump2ktI08IrcikvcuOiIUeAeQd+qqFwnBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:33:38.630532Z"},"content_sha256":"a61bb17f8346e7a47e8a2da345821e70b369b1676da54a0f82c68acd46a4eb6c","schema_version":"1.0","event_id":"sha256:a61bb17f8346e7a47e8a2da345821e70b369b1676da54a0f82c68acd46a4eb6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HTNRLSRIM4KRRW545K6X6FCSOZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher order recurrences and row sequences of Hermite-Pad\\'e approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"G. L\\'opez Lagomasino, Y. Zaldivar Gerpe","submitted_at":"2018-01-08T19:18:22Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02650","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e4S/od6bClVS8/SZvX8ZoavXO2mfkD2JmnlJ5y5VOlcsbE7N3UuCi08zDqkdefgCHmGrSPQ3ej2O8fSyVr0ODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:33:38.630868Z"},"content_sha256":"9d6ecbd66bbb4cb3504abab2a21d4c643153cdc39359b8a2125d24114a99494e","schema_version":"1.0","event_id":"sha256:9d6ecbd66bbb4cb3504abab2a21d4c643153cdc39359b8a2125d24114a99494e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HTNRLSRIM4KRRW545K6X6FCSOZ/bundle.json","state_url":"https://pith.science/pith/HTNRLSRIM4KRRW545K6X6FCSOZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HTNRLSRIM4KRRW545K6X6FCSOZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T07:33:38Z","links":{"resolver":"https://pith.science/pith/HTNRLSRIM4KRRW545K6X6FCSOZ","bundle":"https://pith.science/pith/HTNRLSRIM4KRRW545K6X6FCSOZ/bundle.json","state":"https://pith.science/pith/HTNRLSRIM4KRRW545K6X6FCSOZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HTNRLSRIM4KRRW545K6X6FCSOZ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PVl/BQJh3XDwCv9XD+TuK8RSj71IfjUNFF0wc8X1dB+FasLA5RGPLOPIChbSKVikRkFblRD9fv7qm9f96FqvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T07:33:38.632948Z","bundle_sha256":"8058e3b79c33f110a6ed833a4eca1cf5f09194dca13120080468fd7c6361c286"}}