{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XVAUX36BZH6XG5YYZIFW44AD5Y","short_pith_number":"pith:XVAUX36B","schema_version":"1.0","canonical_sha256":"bd414befc1c9fd737718ca0b6e7003ee2235855fcf9739bad9fb8f17adab987d","source":{"kind":"arxiv","id":"1710.02710","version":2},"attestation_state":"computed","paper":{"title":"A characterization of Dirichlet-inner functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA"],"primary_cat":"math.CV","authors_text":"Daniel Seco","submitted_at":"2017-10-07T17:30:08Z","abstract_excerpt":"We study a concept of inner function suited to Dirichlet-type spaces. We characterize Dirichlet-inner functions as those for which both the space and multiplier norms are equal to 1."},"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":"1710.02710","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-07T17:30:08Z","cross_cats_sorted":["math.CA","math.FA"],"title_canon_sha256":"56ecec9a58c850cbec99168075bb0be35a80e303361f24b7ee40770992ecc5b1","abstract_canon_sha256":"8152579d381b08eda0bcb8dac94c96b8961597fcff6d6d28972d673d8b6673a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:41.777876Z","signature_b64":"al+WXmCbQWR1MBn+sWOYak/TI9YvfFiY9SHjX4/GJ/xH6/qTv+8R7NkhIxXWyjx6exludRYdctf1gbMh33uoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd414befc1c9fd737718ca0b6e7003ee2235855fcf9739bad9fb8f17adab987d","last_reissued_at":"2026-05-18T00:19:41.777152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:41.777152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A characterization of Dirichlet-inner functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA"],"primary_cat":"math.CV","authors_text":"Daniel Seco","submitted_at":"2017-10-07T17:30:08Z","abstract_excerpt":"We study a concept of inner function suited to Dirichlet-type spaces. We characterize Dirichlet-inner functions as those for which both the space and multiplier norms are equal to 1."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02710","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1710.02710","created_at":"2026-05-18T00:19:41.777270+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.02710v2","created_at":"2026-05-18T00:19:41.777270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02710","created_at":"2026-05-18T00:19:41.777270+00:00"},{"alias_kind":"pith_short_12","alias_value":"XVAUX36BZH6X","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XVAUX36BZH6XG5YY","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XVAUX36B","created_at":"2026-05-18T12:31:56.362134+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/XVAUX36BZH6XG5YYZIFW44AD5Y","json":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y.json","graph_json":"https://pith.science/api/pith-number/XVAUX36BZH6XG5YYZIFW44AD5Y/graph.json","events_json":"https://pith.science/api/pith-number/XVAUX36BZH6XG5YYZIFW44AD5Y/events.json","paper":"https://pith.science/paper/XVAUX36B"},"agent_actions":{"view_html":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y","download_json":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y.json","view_paper":"https://pith.science/paper/XVAUX36B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.02710&json=true","fetch_graph":"https://pith.science/api/pith-number/XVAUX36BZH6XG5YYZIFW44AD5Y/graph.json","fetch_events":"https://pith.science/api/pith-number/XVAUX36BZH6XG5YYZIFW44AD5Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y/action/storage_attestation","attest_author":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y/action/author_attestation","sign_citation":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y/action/citation_signature","submit_replication":"https://pith.science/pith/XVAUX36BZH6XG5YYZIFW44AD5Y/action/replication_record"}},"created_at":"2026-05-18T00:19:41.777270+00:00","updated_at":"2026-05-18T00:19:41.777270+00:00"}