{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:XECIN2MYCXDFMWSJ2KAS2BTVQG","short_pith_number":"pith:XECIN2MY","schema_version":"1.0","canonical_sha256":"b90486e99815c6565a49d2812d067581889fe696bb38e6a809c475490661a68c","source":{"kind":"arxiv","id":"1904.11129","version":1},"attestation_state":"computed","paper":{"title":"Committee spaces and the random column-row property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"J. E. Pascoe","submitted_at":"2019-04-25T02:34:09Z","abstract_excerpt":"A committee space is a Hilbert space of power series, perhaps in several or noncommuting variables, such that $\\|z^\\alpha\\|\\|z^\\beta\\| \\geq \\|z^{\\alpha+\\beta}\\|.$ Such a space satisfies the true column-row property when ever the map transposing a column multiplier to a row multiplier is contractive. We describe a model for random multipliers and show that such random multipliers satisfy the true column-row property. We also show that the column-row property holds asymptotically for large random Nevanlinna-Pick interpolation problems where the nodes are chosen identically and independently. The"},"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":"1904.11129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-04-25T02:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"d5af20d48c106bf59235221e6af3d7117ba81f269fc00f9e9f64791ad9ab5c03","abstract_canon_sha256":"05c68c5eab61e965505c9d32843d264c239636a35199ba96b27c5078a38eb902"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:45.709499Z","signature_b64":"fljAYHdBDfSHiajdzYZ7LNHXPTDfAQJL1uoGl8Zyuzjn31wJPdd9wwvb1mAnjY3z0g35jLhk/3S6Ph95qS9yBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b90486e99815c6565a49d2812d067581889fe696bb38e6a809c475490661a68c","last_reissued_at":"2026-05-17T23:47:45.708997Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:45.708997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Committee spaces and the random column-row property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"J. E. Pascoe","submitted_at":"2019-04-25T02:34:09Z","abstract_excerpt":"A committee space is a Hilbert space of power series, perhaps in several or noncommuting variables, such that $\\|z^\\alpha\\|\\|z^\\beta\\| \\geq \\|z^{\\alpha+\\beta}\\|.$ Such a space satisfies the true column-row property when ever the map transposing a column multiplier to a row multiplier is contractive. We describe a model for random multipliers and show that such random multipliers satisfy the true column-row property. We also show that the column-row property holds asymptotically for large random Nevanlinna-Pick interpolation problems where the nodes are chosen identically and independently. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11129","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":"1904.11129","created_at":"2026-05-17T23:47:45.709080+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.11129v1","created_at":"2026-05-17T23:47:45.709080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11129","created_at":"2026-05-17T23:47:45.709080+00:00"},{"alias_kind":"pith_short_12","alias_value":"XECIN2MYCXDF","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"XECIN2MYCXDFMWSJ","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"XECIN2MY","created_at":"2026-05-18T12:33:33.725879+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/XECIN2MYCXDFMWSJ2KAS2BTVQG","json":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG.json","graph_json":"https://pith.science/api/pith-number/XECIN2MYCXDFMWSJ2KAS2BTVQG/graph.json","events_json":"https://pith.science/api/pith-number/XECIN2MYCXDFMWSJ2KAS2BTVQG/events.json","paper":"https://pith.science/paper/XECIN2MY"},"agent_actions":{"view_html":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG","download_json":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG.json","view_paper":"https://pith.science/paper/XECIN2MY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.11129&json=true","fetch_graph":"https://pith.science/api/pith-number/XECIN2MYCXDFMWSJ2KAS2BTVQG/graph.json","fetch_events":"https://pith.science/api/pith-number/XECIN2MYCXDFMWSJ2KAS2BTVQG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG/action/storage_attestation","attest_author":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG/action/author_attestation","sign_citation":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG/action/citation_signature","submit_replication":"https://pith.science/pith/XECIN2MYCXDFMWSJ2KAS2BTVQG/action/replication_record"}},"created_at":"2026-05-17T23:47:45.709080+00:00","updated_at":"2026-05-17T23:47:45.709080+00:00"}