{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZX2OA2UZC7JYU3Q6WHS2LJFJP7","short_pith_number":"pith:ZX2OA2UZ","canonical_record":{"source":{"id":"1502.03958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-13T12:13:04Z","cross_cats_sorted":[],"title_canon_sha256":"f50c3d0c792036085713aa9027a7dc9b6d61c0ae1f3c85ba3ab947528018dbc5","abstract_canon_sha256":"490d175bf1edf1d47d83330f2fde2eb99f6900b3e5189bb6a1b0cfe13d2c0a3e"},"schema_version":"1.0"},"canonical_sha256":"cdf4e06a9917d38a6e1eb1e5a5a4a97ffeb073b66f052300648b90aed656248c","source":{"kind":"arxiv","id":"1502.03958","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03958","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03958v1","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03958","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZX2OA2UZC7JY","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZX2OA2UZC7JYU3Q6","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZX2OA2UZ","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZX2OA2UZC7JYU3Q6WHS2LJFJP7","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-13T12:13:04Z","cross_cats_sorted":[],"title_canon_sha256":"f50c3d0c792036085713aa9027a7dc9b6d61c0ae1f3c85ba3ab947528018dbc5","abstract_canon_sha256":"490d175bf1edf1d47d83330f2fde2eb99f6900b3e5189bb6a1b0cfe13d2c0a3e"},"schema_version":"1.0"},"canonical_sha256":"cdf4e06a9917d38a6e1eb1e5a5a4a97ffeb073b66f052300648b90aed656248c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:06.903049Z","signature_b64":"SevsVHM3qYJz2YgKlEm6hAzqoZURgdY4hBH6NdOe5MRA2dgTS5PgD3G+sqURUtjRSERsneH2CJakRgzn1xwUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdf4e06a9917d38a6e1eb1e5a5a4a97ffeb073b66f052300648b90aed656248c","last_reissued_at":"2026-05-18T02:27:06.902214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:06.902214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03958","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":"2026-05-18T02:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xq0h6OPe7dTEjvN3w5BTUJwdPBB1RFKODkpwiFpbicL5WThqXDuS7NZ3nHETpMJolDasrGBmud94ZKDj215dDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:03:14.497598Z"},"content_sha256":"e502ee2b17adb7691ff8f260058eb77c95b4f0a1ec7388766e50ac9d8b88ef83","schema_version":"1.0","event_id":"sha256:e502ee2b17adb7691ff8f260058eb77c95b4f0a1ec7388766e50ac9d8b88ef83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZX2OA2UZC7JYU3Q6WHS2LJFJP7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On row sequences of Pad\\'e and Hermite-Pad\\'e approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Guillermo L\\'opez Lagomasino","submitted_at":"2015-02-13T12:13:04Z","abstract_excerpt":"A survey of direct and inverse type results for row sequences of Pad\\'e and Hermite-Pad\\'e approximation is given. A conjecture is posed on an inverse type result for type II Hermite-Pad\\'e approximation when it is known that the sequence of common denominators of the approximating vector rational functions has a limit. Some inverse type results are proved for the so called incomplete Pad\\'e approximants which may lead to the proof of the conjecture and the connection is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03958","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":"2026-05-18T02:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NJJXVGfbI0PETuwF7Sro7gLfxCvq7ilAklZLM11f5TrA9+uhePiR51EBrbR+ISqkldFp9Cm6zgraYm4rbgCAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:03:14.498370Z"},"content_sha256":"be1c3523854335f966f319a114d32540a9a60849b5b65917698e083d1cd61bc8","schema_version":"1.0","event_id":"sha256:be1c3523854335f966f319a114d32540a9a60849b5b65917698e083d1cd61bc8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7/bundle.json","state_url":"https://pith.science/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7/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":"2026-06-08T18:03:14Z","links":{"resolver":"https://pith.science/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7","bundle":"https://pith.science/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7/bundle.json","state":"https://pith.science/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZX2OA2UZC7JYU3Q6WHS2LJFJP7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZX2OA2UZC7JYU3Q6WHS2LJFJP7","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":"490d175bf1edf1d47d83330f2fde2eb99f6900b3e5189bb6a1b0cfe13d2c0a3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-13T12:13:04Z","title_canon_sha256":"f50c3d0c792036085713aa9027a7dc9b6d61c0ae1f3c85ba3ab947528018dbc5"},"schema_version":"1.0","source":{"id":"1502.03958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03958","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03958v1","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03958","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZX2OA2UZC7JY","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZX2OA2UZC7JYU3Q6","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZX2OA2UZ","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:be1c3523854335f966f319a114d32540a9a60849b5b65917698e083d1cd61bc8","target":"graph","created_at":"2026-05-18T02:27:06Z","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":"A survey of direct and inverse type results for row sequences of Pad\\'e and Hermite-Pad\\'e approximation is given. A conjecture is posed on an inverse type result for type II Hermite-Pad\\'e approximation when it is known that the sequence of common denominators of the approximating vector rational functions has a limit. Some inverse type results are proved for the so called incomplete Pad\\'e approximants which may lead to the proof of the conjecture and the connection is discussed.","authors_text":"Guillermo L\\'opez Lagomasino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-13T12:13:04Z","title":"On row sequences of Pad\\'e and Hermite-Pad\\'e approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03958","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:e502ee2b17adb7691ff8f260058eb77c95b4f0a1ec7388766e50ac9d8b88ef83","target":"record","created_at":"2026-05-18T02:27:06Z","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":"490d175bf1edf1d47d83330f2fde2eb99f6900b3e5189bb6a1b0cfe13d2c0a3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-02-13T12:13:04Z","title_canon_sha256":"f50c3d0c792036085713aa9027a7dc9b6d61c0ae1f3c85ba3ab947528018dbc5"},"schema_version":"1.0","source":{"id":"1502.03958","kind":"arxiv","version":1}},"canonical_sha256":"cdf4e06a9917d38a6e1eb1e5a5a4a97ffeb073b66f052300648b90aed656248c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdf4e06a9917d38a6e1eb1e5a5a4a97ffeb073b66f052300648b90aed656248c","first_computed_at":"2026-05-18T02:27:06.902214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:06.902214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SevsVHM3qYJz2YgKlEm6hAzqoZURgdY4hBH6NdOe5MRA2dgTS5PgD3G+sqURUtjRSERsneH2CJakRgzn1xwUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:06.903049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e502ee2b17adb7691ff8f260058eb77c95b4f0a1ec7388766e50ac9d8b88ef83","sha256:be1c3523854335f966f319a114d32540a9a60849b5b65917698e083d1cd61bc8"],"state_sha256":"adfbcaec51291154fa6fc9e09f8c6f5c049a3371f7aa9d98159c3007537a89c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9a3AAZ5PINxHpx2I0qIMbdsA/rVSSHbZHay6jGBo4qg0RGx3+bkM5BRWmcsEVPR5mr9TlGno8p39zoZj1sIDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:03:14.506400Z","bundle_sha256":"533fda774392d172da381733699f1235dab79ba6c54880278973cbebb7f16f4c"}}