{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:S7KYNCZBEWQD7EBQQOOPSQFS5G","short_pith_number":"pith:S7KYNCZB","canonical_record":{"source":{"id":"1105.0170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-05-01T13:14:49Z","cross_cats_sorted":[],"title_canon_sha256":"02e7d53182e29c21403a374342b534c56e3a3163da2bc6ef711c294409192d5e","abstract_canon_sha256":"d3e8c668a076251ec91e32aa94fc8fada14803af7f4ffc693417c81feede7966"},"schema_version":"1.0"},"canonical_sha256":"97d5868b2125a03f9030839cf940b2e9b28fc8ae3c7d26aec5bcb5b05d085ab9","source":{"kind":"arxiv","id":"1105.0170","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.0170","created_at":"2026-05-18T04:22:02Z"},{"alias_kind":"arxiv_version","alias_value":"1105.0170v2","created_at":"2026-05-18T04:22:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0170","created_at":"2026-05-18T04:22:02Z"},{"alias_kind":"pith_short_12","alias_value":"S7KYNCZBEWQD","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S7KYNCZBEWQD7EBQ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S7KYNCZB","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:S7KYNCZBEWQD7EBQQOOPSQFS5G","target":"record","payload":{"canonical_record":{"source":{"id":"1105.0170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-05-01T13:14:49Z","cross_cats_sorted":[],"title_canon_sha256":"02e7d53182e29c21403a374342b534c56e3a3163da2bc6ef711c294409192d5e","abstract_canon_sha256":"d3e8c668a076251ec91e32aa94fc8fada14803af7f4ffc693417c81feede7966"},"schema_version":"1.0"},"canonical_sha256":"97d5868b2125a03f9030839cf940b2e9b28fc8ae3c7d26aec5bcb5b05d085ab9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:02.008020Z","signature_b64":"S2t5NUayuGa2RRSbpm8g92BZ35Iwq9nzLX5at3KQZbZn83VZgxNUmbxjpcdTqSYc57SugLF8ao31YhyV2cjzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97d5868b2125a03f9030839cf940b2e9b28fc8ae3c7d26aec5bcb5b05d085ab9","last_reissued_at":"2026-05-18T04:22:02.007423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:02.007423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.0170","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZCGavs4eOZefzIQrfsTykwd6PcVVT4mKHvuhvoYNWyMmPSWGSkoRUNQZOc8giwv4586LZl3ssnK65kMfhVfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T06:10:34.958655Z"},"content_sha256":"003de77f8ac232aecf16b77fe56ebf255fa850446735a14bbbd9a4b261142ece","schema_version":"1.0","event_id":"sha256:003de77f8ac232aecf16b77fe56ebf255fa850446735a14bbbd9a4b261142ece"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:S7KYNCZBEWQD7EBQQOOPSQFS5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generic Approximation of functions by their pad\\'{e} approximants, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"G. Fournodavlos","submitted_at":"2011-05-01T13:14:49Z","abstract_excerpt":"In \\cite{5} we proved that generically functions defined in any open set can be approximated by a sequense of their pad\\'{e} approximants, in the sense of uniform convergence on compacta. In this paper we examine a more particular space, $A^{\\infty}(\\Omega)$, and prove that we can obtain similar approximation results with functions smooth on the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0170","kind":"arxiv","version":2},"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":"2026-05-18T04:22:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bHYbgBWwriDIb6w4xq/EqD1BH3lfUXz1jTAxlWpQNNbGQHsNFNRP4iieUDEFrH+np97FOE9+5xZHE2xicb2MAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T06:10:34.958986Z"},"content_sha256":"f68fd6c5707f223c5f7583a9b8424fc58fd7441531b7ea6368a7ce17f2787cdb","schema_version":"1.0","event_id":"sha256:f68fd6c5707f223c5f7583a9b8424fc58fd7441531b7ea6368a7ce17f2787cdb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G/bundle.json","state_url":"https://pith.science/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G/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":"2026-06-29T06:10:34Z","links":{"resolver":"https://pith.science/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G","bundle":"https://pith.science/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G/bundle.json","state":"https://pith.science/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S7KYNCZBEWQD7EBQQOOPSQFS5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:S7KYNCZBEWQD7EBQQOOPSQFS5G","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":"d3e8c668a076251ec91e32aa94fc8fada14803af7f4ffc693417c81feede7966","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-05-01T13:14:49Z","title_canon_sha256":"02e7d53182e29c21403a374342b534c56e3a3163da2bc6ef711c294409192d5e"},"schema_version":"1.0","source":{"id":"1105.0170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.0170","created_at":"2026-05-18T04:22:02Z"},{"alias_kind":"arxiv_version","alias_value":"1105.0170v2","created_at":"2026-05-18T04:22:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0170","created_at":"2026-05-18T04:22:02Z"},{"alias_kind":"pith_short_12","alias_value":"S7KYNCZBEWQD","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"S7KYNCZBEWQD7EBQ","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"S7KYNCZB","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:f68fd6c5707f223c5f7583a9b8424fc58fd7441531b7ea6368a7ce17f2787cdb","target":"graph","created_at":"2026-05-18T04:22:02Z","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":"In \\cite{5} we proved that generically functions defined in any open set can be approximated by a sequense of their pad\\'{e} approximants, in the sense of uniform convergence on compacta. In this paper we examine a more particular space, $A^{\\infty}(\\Omega)$, and prove that we can obtain similar approximation results with functions smooth on the boundary.","authors_text":"G. Fournodavlos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-05-01T13:14:49Z","title":"Generic Approximation of functions by their pad\\'{e} approximants, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0170","kind":"arxiv","version":2},"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":"sha256:003de77f8ac232aecf16b77fe56ebf255fa850446735a14bbbd9a4b261142ece","target":"record","created_at":"2026-05-18T04:22:02Z","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":"d3e8c668a076251ec91e32aa94fc8fada14803af7f4ffc693417c81feede7966","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-05-01T13:14:49Z","title_canon_sha256":"02e7d53182e29c21403a374342b534c56e3a3163da2bc6ef711c294409192d5e"},"schema_version":"1.0","source":{"id":"1105.0170","kind":"arxiv","version":2}},"canonical_sha256":"97d5868b2125a03f9030839cf940b2e9b28fc8ae3c7d26aec5bcb5b05d085ab9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97d5868b2125a03f9030839cf940b2e9b28fc8ae3c7d26aec5bcb5b05d085ab9","first_computed_at":"2026-05-18T04:22:02.007423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:02.007423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S2t5NUayuGa2RRSbpm8g92BZ35Iwq9nzLX5at3KQZbZn83VZgxNUmbxjpcdTqSYc57SugLF8ao31YhyV2cjzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:02.008020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.0170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:003de77f8ac232aecf16b77fe56ebf255fa850446735a14bbbd9a4b261142ece","sha256:f68fd6c5707f223c5f7583a9b8424fc58fd7441531b7ea6368a7ce17f2787cdb"],"state_sha256":"8a16720c7fc320d1f081a971c05c77984127edc9097576b36234440f07c31bb9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tgNgfcdceSA4oW0NCnQHrPtL7FxAEOBewXxO0oF0Ho7WRCu8fIIXTF7mj/UqfrvFTanoU9DlR7fYvr5x3/PPDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T06:10:34.960938Z","bundle_sha256":"a0f10fb5a8a8ae07c8e3702bc0d174afed97a6a3fb1c8909e71a008f206479c3"}}