{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W4N2VZZANNKHPHTW564Z2TSWYR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8d2f146ec02dde7cf2be79045fa0462121107ae1727902eea768c32f0eecee50","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.SP","submitted_at":"2014-10-06T00:59:24Z","title_canon_sha256":"27bf843918f767bdd53303100caa2eaab0d7b6b5c17449c031bbdec78848f220"},"schema_version":"1.0","source":{"id":"1410.1232","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1232","created_at":"2026-05-18T01:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1232v3","created_at":"2026-05-18T01:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1232","created_at":"2026-05-18T01:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"W4N2VZZANNKH","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W4N2VZZANNKHPHTW","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W4N2VZZA","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:70e1e5165dfd14c6831c5fa9781c997df80bb771af9c9d4d71edb0f60cfea850","target":"graph","created_at":"2026-05-18T01:51:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the mathematical foundations of information theory and to a remarkable series of papers by D. Slepian, H. Landau and H. Pollak. To our knowledge, this is the first example showing in a non-commutative setup that a bispectral property implies that the corresponding global operator of \"time and band limiting\" admits a commuting local operator. This is a noncommutative analog of the","authors_text":"F. Alberto Gr\\\"unbaum, Ignacio Nahuel Zurri\\'an, In\\'es Pacharoni","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.SP","submitted_at":"2014-10-06T00:59:24Z","title":"Time and Band Limiting for Matrix Valued Functions, an Example"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1232","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0abe849a7cdaea8d258680f3942e1478f613b39960f7a3a3763b31d6d75d59d6","target":"record","created_at":"2026-05-18T01:51:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8d2f146ec02dde7cf2be79045fa0462121107ae1727902eea768c32f0eecee50","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.SP","submitted_at":"2014-10-06T00:59:24Z","title_canon_sha256":"27bf843918f767bdd53303100caa2eaab0d7b6b5c17449c031bbdec78848f220"},"schema_version":"1.0","source":{"id":"1410.1232","kind":"arxiv","version":3}},"canonical_sha256":"b71baae7206b54779e76efb99d4e56c458d199c5a97454171f49d9116466da04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b71baae7206b54779e76efb99d4e56c458d199c5a97454171f49d9116466da04","first_computed_at":"2026-05-18T01:51:49.320299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:49.320299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M6QxeajO6qrcRh5d7ZfPjrXCSZ82xzAQRIdBJtfqMIqWcUJCCRVQaakRcj8SXbB1IYa2BNPrhMvJnMTjgMa2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:49.320955Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1232","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0abe849a7cdaea8d258680f3942e1478f613b39960f7a3a3763b31d6d75d59d6","sha256:70e1e5165dfd14c6831c5fa9781c997df80bb771af9c9d4d71edb0f60cfea850"],"state_sha256":"0553e8b7fdaf6bbb7b44d0256dcb5b9a0f4880805da98e5b0e089db3c7f24ecd"}