{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:ADKGEEYXCEE3FPDPDQLZY45GXE","short_pith_number":"pith:ADKGEEYX","schema_version":"1.0","canonical_sha256":"00d46213171109b2bc6f1c179c73a6b91247e629f850b71352b43c5e3429c77d","source":{"kind":"arxiv","id":"math/9404223","version":1},"attestation_state":"computed","paper":{"title":"Biorthogonal polynomials and zero-mapping transformations","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Arieh Iserles, Syvert Paul N{\\o}rsett","submitted_at":"1994-04-22T00:00:00Z","abstract_excerpt":"The authors have presented in \\cite{IN2} a technique to generate transformations $\\cal T$ of the set ${\\Bbb P}_n$ of $n$th degree polynomials to itself such that if $p\\in{\\Bbb P}_n$ has all its zeros in $(c,d)$ then ${\\cal T}\\{p\\}$ has all its zeros in $(a,b)$, where $(a,b)$ and $(c,d)$ are given real intervals. The technique rests upon the derivation of an explicit form of biorthogonal polynomials whose Borel measure is strictly sign consistent and such that the ratio of consecutive generalized moments is a rational $[1/1]$ function of the parameter. Specific instances of strictly sign consis"},"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":"math/9404223","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"1994-04-22T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"b3d622a7116bee9d12860fe1423f6a366189d9c3bc24d89d59d0adcae9286341","abstract_canon_sha256":"76519940eddd9e7ee61a1488417747534e3bfdf3d5dec445562f3d0e8637fff2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:51.447788Z","signature_b64":"KbvZsf4hv4jFWZq3fnem12PzVFmrH2x8/DRYcHbp4RTGaQqQckVsk8sCCwHe0A0QrEcP/vZPdWKYa/nlPpJ/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00d46213171109b2bc6f1c179c73a6b91247e629f850b71352b43c5e3429c77d","last_reissued_at":"2026-05-18T01:05:51.447209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:51.447209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Biorthogonal polynomials and zero-mapping transformations","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Arieh Iserles, Syvert Paul N{\\o}rsett","submitted_at":"1994-04-22T00:00:00Z","abstract_excerpt":"The authors have presented in \\cite{IN2} a technique to generate transformations $\\cal T$ of the set ${\\Bbb P}_n$ of $n$th degree polynomials to itself such that if $p\\in{\\Bbb P}_n$ has all its zeros in $(c,d)$ then ${\\cal T}\\{p\\}$ has all its zeros in $(a,b)$, where $(a,b)$ and $(c,d)$ are given real intervals. The technique rests upon the derivation of an explicit form of biorthogonal polynomials whose Borel measure is strictly sign consistent and such that the ratio of consecutive generalized moments is a rational $[1/1]$ function of the parameter. Specific instances of strictly sign consis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9404223","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":"math/9404223","created_at":"2026-05-18T01:05:51.447314+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9404223v1","created_at":"2026-05-18T01:05:51.447314+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9404223","created_at":"2026-05-18T01:05:51.447314+00:00"},{"alias_kind":"pith_short_12","alias_value":"ADKGEEYXCEE3","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"ADKGEEYXCEE3FPDP","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"ADKGEEYX","created_at":"2026-05-18T12:25:47.102015+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/ADKGEEYXCEE3FPDPDQLZY45GXE","json":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE.json","graph_json":"https://pith.science/api/pith-number/ADKGEEYXCEE3FPDPDQLZY45GXE/graph.json","events_json":"https://pith.science/api/pith-number/ADKGEEYXCEE3FPDPDQLZY45GXE/events.json","paper":"https://pith.science/paper/ADKGEEYX"},"agent_actions":{"view_html":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE","download_json":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE.json","view_paper":"https://pith.science/paper/ADKGEEYX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9404223&json=true","fetch_graph":"https://pith.science/api/pith-number/ADKGEEYXCEE3FPDPDQLZY45GXE/graph.json","fetch_events":"https://pith.science/api/pith-number/ADKGEEYXCEE3FPDPDQLZY45GXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE/action/storage_attestation","attest_author":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE/action/author_attestation","sign_citation":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE/action/citation_signature","submit_replication":"https://pith.science/pith/ADKGEEYXCEE3FPDPDQLZY45GXE/action/replication_record"}},"created_at":"2026-05-18T01:05:51.447314+00:00","updated_at":"2026-05-18T01:05:51.447314+00:00"}