{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:TOEZ7HEYNTXJS5BURSFLBV6HO6","short_pith_number":"pith:TOEZ7HEY","schema_version":"1.0","canonical_sha256":"9b899f9c986cee9974348c8ab0d7c777b3f1a2128b46ac87ef00533eca8b933d","source":{"kind":"arxiv","id":"1212.6268","version":1},"attestation_state":"computed","paper":{"title":"Interpolation and peak functions for the Nevanlinna and Smirnov classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Pascal J. Thomas, Xavier Massaneda","submitted_at":"2012-12-26T21:17:08Z","abstract_excerpt":"It is known (implicit in [HMNT]) that when $\\Lambda$ is an interpolating sequence for the Nevanlinna or the Smirnov class then there exist functions $f_\\lambda$ in these spaces, with uniform control of their growth and attaining values 1 on $\\lambda$ and 0 in all other $\\lambda'\\neq\\lambda$. We provide an example showing that, contrary to what happens in other algebras of holomorphic functions, the existence of such functions does not imply that $\\Lambda$ is an interpolating sequence."},"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":"1212.6268","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-12-26T21:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"32fb39555ae5cabcd783225afec701fc6ac8c883fb68e34c28c0bc370a742fd8","abstract_canon_sha256":"bdc8e4d786702f98b334c6a34dc12611e3e4f92a3b4778f3aa5aa471b994ed0b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:40.357157Z","signature_b64":"HF8jh/VYISxF97ynZ145xEUeEeL4kbf9jjJRjy4O0G06I7wVGWQINECDTODMsBpX/zvpmaHkW1s61WlRvAfOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b899f9c986cee9974348c8ab0d7c777b3f1a2128b46ac87ef00533eca8b933d","last_reissued_at":"2026-05-18T03:37:40.356704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:40.356704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interpolation and peak functions for the Nevanlinna and Smirnov classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Pascal J. Thomas, Xavier Massaneda","submitted_at":"2012-12-26T21:17:08Z","abstract_excerpt":"It is known (implicit in [HMNT]) that when $\\Lambda$ is an interpolating sequence for the Nevanlinna or the Smirnov class then there exist functions $f_\\lambda$ in these spaces, with uniform control of their growth and attaining values 1 on $\\lambda$ and 0 in all other $\\lambda'\\neq\\lambda$. We provide an example showing that, contrary to what happens in other algebras of holomorphic functions, the existence of such functions does not imply that $\\Lambda$ is an interpolating sequence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6268","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":"1212.6268","created_at":"2026-05-18T03:37:40.356762+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.6268v1","created_at":"2026-05-18T03:37:40.356762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6268","created_at":"2026-05-18T03:37:40.356762+00:00"},{"alias_kind":"pith_short_12","alias_value":"TOEZ7HEYNTXJ","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"TOEZ7HEYNTXJS5BU","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"TOEZ7HEY","created_at":"2026-05-18T12:27:23.164592+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/TOEZ7HEYNTXJS5BURSFLBV6HO6","json":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6.json","graph_json":"https://pith.science/api/pith-number/TOEZ7HEYNTXJS5BURSFLBV6HO6/graph.json","events_json":"https://pith.science/api/pith-number/TOEZ7HEYNTXJS5BURSFLBV6HO6/events.json","paper":"https://pith.science/paper/TOEZ7HEY"},"agent_actions":{"view_html":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6","download_json":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6.json","view_paper":"https://pith.science/paper/TOEZ7HEY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.6268&json=true","fetch_graph":"https://pith.science/api/pith-number/TOEZ7HEYNTXJS5BURSFLBV6HO6/graph.json","fetch_events":"https://pith.science/api/pith-number/TOEZ7HEYNTXJS5BURSFLBV6HO6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6/action/storage_attestation","attest_author":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6/action/author_attestation","sign_citation":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6/action/citation_signature","submit_replication":"https://pith.science/pith/TOEZ7HEYNTXJS5BURSFLBV6HO6/action/replication_record"}},"created_at":"2026-05-18T03:37:40.356762+00:00","updated_at":"2026-05-18T03:37:40.356762+00:00"}