{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5VXHTFVXFON4GIL2VHJMK4476A","short_pith_number":"pith:5VXHTFVX","schema_version":"1.0","canonical_sha256":"ed6e7996b72b9bc3217aa9d2c5739ff018dadc7a523dc393fc4c41dde93d6762","source":{"kind":"arxiv","id":"1201.5592","version":1},"attestation_state":"computed","paper":{"title":"Agler-Commutant Lifting on an Annulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Saida Sultanic, Scott McCullough","submitted_at":"2012-01-26T18:02:16Z","abstract_excerpt":"The main result is a test function style commutant lifting theorem for an annulus A. The test functions are the minimal inner functions for A. The model space is the Sarason Hardy Hilbert space for A uniquely determined by the fact that its reproducing kernel has no zeros."},"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":"1201.5592","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-01-26T18:02:16Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"dde1b494e513b43025414f1bbe83f239f7d4a3b9a7f43fc63d309f6a123a8efc","abstract_canon_sha256":"36d496b127c6d1cbc7ddfb743396e8546fba6b8ac641806a2d5f79d5f0858f15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:45.848558Z","signature_b64":"bLxbDnMMwDsqQt+MlzMac5/GIrzR7JHAp8608ZA4Uz0JC4AyvOJUkCtd1jF8crJfXImtjqH1INDk/Am80Fc7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed6e7996b72b9bc3217aa9d2c5739ff018dadc7a523dc393fc4c41dde93d6762","last_reissued_at":"2026-05-18T04:03:45.847755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:45.847755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Agler-Commutant Lifting on an Annulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Saida Sultanic, Scott McCullough","submitted_at":"2012-01-26T18:02:16Z","abstract_excerpt":"The main result is a test function style commutant lifting theorem for an annulus A. The test functions are the minimal inner functions for A. The model space is the Sarason Hardy Hilbert space for A uniquely determined by the fact that its reproducing kernel has no zeros."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5592","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":"1201.5592","created_at":"2026-05-18T04:03:45.847894+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.5592v1","created_at":"2026-05-18T04:03:45.847894+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5592","created_at":"2026-05-18T04:03:45.847894+00:00"},{"alias_kind":"pith_short_12","alias_value":"5VXHTFVXFON4","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"5VXHTFVXFON4GIL2","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"5VXHTFVX","created_at":"2026-05-18T12:26:56.085431+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/5VXHTFVXFON4GIL2VHJMK4476A","json":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A.json","graph_json":"https://pith.science/api/pith-number/5VXHTFVXFON4GIL2VHJMK4476A/graph.json","events_json":"https://pith.science/api/pith-number/5VXHTFVXFON4GIL2VHJMK4476A/events.json","paper":"https://pith.science/paper/5VXHTFVX"},"agent_actions":{"view_html":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A","download_json":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A.json","view_paper":"https://pith.science/paper/5VXHTFVX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.5592&json=true","fetch_graph":"https://pith.science/api/pith-number/5VXHTFVXFON4GIL2VHJMK4476A/graph.json","fetch_events":"https://pith.science/api/pith-number/5VXHTFVXFON4GIL2VHJMK4476A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A/action/storage_attestation","attest_author":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A/action/author_attestation","sign_citation":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A/action/citation_signature","submit_replication":"https://pith.science/pith/5VXHTFVXFON4GIL2VHJMK4476A/action/replication_record"}},"created_at":"2026-05-18T04:03:45.847894+00:00","updated_at":"2026-05-18T04:03:45.847894+00:00"}