{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GT3ABBLNQ5LCMME5TLA23L4ZFP","short_pith_number":"pith:GT3ABBLN","schema_version":"1.0","canonical_sha256":"34f600856d875626309d9ac1adaf992bf95b88c06c32b33cdc57a0aa34a49d9a","source":{"kind":"arxiv","id":"1503.05461","version":1},"attestation_state":"computed","paper":{"title":"Inner functions and operator theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.FA","authors_text":"Isabelle Chalendar, Jonathan R. Partington, Pamela Gorkin","submitted_at":"2015-03-18T15:56:53Z","abstract_excerpt":"This tutorial paper presents a survey of results, both classical and new, linking inner functions and operator theory. Topics discussed include invariant subspaces, universal operators, Hankel and Toeplitz operators, model spaces, truncated Toeplitz operators, restricted shifts, numerical ranges, and interpolation."},"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":"1503.05461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-03-18T15:56:53Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"01823999855abf33f3946e0560238185586b943d7f2518ad598fbc873a3c7320","abstract_canon_sha256":"81606c3294b84529f0a5e8dd84503f5da35324bd461c2c6fd6d75f62a260e830"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:50.363447Z","signature_b64":"SD1ybpPojX47kcG13/Lmc9blQf4H/IZVKsBXDZSGhBjcr/rakWUW7aCesYXTwpVT/yr+iZTfi0dGTcHGwORODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34f600856d875626309d9ac1adaf992bf95b88c06c32b33cdc57a0aa34a49d9a","last_reissued_at":"2026-05-18T02:21:50.362839Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:50.362839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inner functions and operator theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.FA","authors_text":"Isabelle Chalendar, Jonathan R. Partington, Pamela Gorkin","submitted_at":"2015-03-18T15:56:53Z","abstract_excerpt":"This tutorial paper presents a survey of results, both classical and new, linking inner functions and operator theory. Topics discussed include invariant subspaces, universal operators, Hankel and Toeplitz operators, model spaces, truncated Toeplitz operators, restricted shifts, numerical ranges, and interpolation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05461","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":"1503.05461","created_at":"2026-05-18T02:21:50.362952+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05461v1","created_at":"2026-05-18T02:21:50.362952+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05461","created_at":"2026-05-18T02:21:50.362952+00:00"},{"alias_kind":"pith_short_12","alias_value":"GT3ABBLNQ5LC","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GT3ABBLNQ5LCMME5","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GT3ABBLN","created_at":"2026-05-18T12:29:22.688609+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/GT3ABBLNQ5LCMME5TLA23L4ZFP","json":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP.json","graph_json":"https://pith.science/api/pith-number/GT3ABBLNQ5LCMME5TLA23L4ZFP/graph.json","events_json":"https://pith.science/api/pith-number/GT3ABBLNQ5LCMME5TLA23L4ZFP/events.json","paper":"https://pith.science/paper/GT3ABBLN"},"agent_actions":{"view_html":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP","download_json":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP.json","view_paper":"https://pith.science/paper/GT3ABBLN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05461&json=true","fetch_graph":"https://pith.science/api/pith-number/GT3ABBLNQ5LCMME5TLA23L4ZFP/graph.json","fetch_events":"https://pith.science/api/pith-number/GT3ABBLNQ5LCMME5TLA23L4ZFP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP/action/storage_attestation","attest_author":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP/action/author_attestation","sign_citation":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP/action/citation_signature","submit_replication":"https://pith.science/pith/GT3ABBLNQ5LCMME5TLA23L4ZFP/action/replication_record"}},"created_at":"2026-05-18T02:21:50.362952+00:00","updated_at":"2026-05-18T02:21:50.362952+00:00"}