{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:75KKCNQRXYDRCOULTDZHWV32AW","short_pith_number":"pith:75KKCNQR","schema_version":"1.0","canonical_sha256":"ff54a13611be07113a8b98f27b577a05bb39bb3c51af5a1ea3b8f5a8dca01495","source":{"kind":"arxiv","id":"1404.6917","version":1},"attestation_state":"computed","paper":{"title":"New representations of Pad\\'e and Pad\\'e-type approximants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Claude Brezinski, Michela Redivo-Zaglia","submitted_at":"2014-04-28T10:16:44Z","abstract_excerpt":"Pad\\'e approximants are rational functions whose series expansion match a given series as far as possible. These approximants are usually written under a rational form. In this paper, we will show how to write them also under two different barycentric forms, and under a partial fraction form, depending on free parameters. According to the choice of these parameters, Pad\\'e-type approximants can be obtained under a barycentric or a partial fraction form."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.6917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-28T10:16:44Z","cross_cats_sorted":[],"title_canon_sha256":"e4d5130d3a87afb8404fa256b16d750727c739dc6e129c4e4ee3d0e17a94b579","abstract_canon_sha256":"dbd6469e10204944fae293b9b811489ec64e9cb6aec23b7a76f1465384f72b70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:05.550241Z","signature_b64":"40C8hyNPviXcQ2K0HAPYTxVRab7IUV69q20hRlQJ/USLCAjPBPhNQHnQjRs9kn/r6XF20Cz1isW0I66jYinkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff54a13611be07113a8b98f27b577a05bb39bb3c51af5a1ea3b8f5a8dca01495","last_reissued_at":"2026-05-18T02:53:05.549736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:05.549736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New representations of Pad\\'e and Pad\\'e-type approximants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Claude Brezinski, Michela Redivo-Zaglia","submitted_at":"2014-04-28T10:16:44Z","abstract_excerpt":"Pad\\'e approximants are rational functions whose series expansion match a given series as far as possible. These approximants are usually written under a rational form. In this paper, we will show how to write them also under two different barycentric forms, and under a partial fraction form, depending on free parameters. According to the choice of these parameters, Pad\\'e-type approximants can be obtained under a barycentric or a partial fraction form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6917","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.6917","created_at":"2026-05-18T02:53:05.549829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.6917v1","created_at":"2026-05-18T02:53:05.549829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6917","created_at":"2026-05-18T02:53:05.549829+00:00"},{"alias_kind":"pith_short_12","alias_value":"75KKCNQRXYDR","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"75KKCNQRXYDRCOUL","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"75KKCNQR","created_at":"2026-05-18T12:28:16.859392+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW","json":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW.json","graph_json":"https://pith.science/api/pith-number/75KKCNQRXYDRCOULTDZHWV32AW/graph.json","events_json":"https://pith.science/api/pith-number/75KKCNQRXYDRCOULTDZHWV32AW/events.json","paper":"https://pith.science/paper/75KKCNQR"},"agent_actions":{"view_html":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW","download_json":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW.json","view_paper":"https://pith.science/paper/75KKCNQR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.6917&json=true","fetch_graph":"https://pith.science/api/pith-number/75KKCNQRXYDRCOULTDZHWV32AW/graph.json","fetch_events":"https://pith.science/api/pith-number/75KKCNQRXYDRCOULTDZHWV32AW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW/action/storage_attestation","attest_author":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW/action/author_attestation","sign_citation":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW/action/citation_signature","submit_replication":"https://pith.science/pith/75KKCNQRXYDRCOULTDZHWV32AW/action/replication_record"}},"created_at":"2026-05-18T02:53:05.549829+00:00","updated_at":"2026-05-18T02:53:05.549829+00:00"}