{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SBFLQZAE4BIMBWAXJ7PWZOHUZV","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":"6b8d97f0e949536bfe795830e83592181b31f29b43f13191e851503a4c9bb0f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2009-11-18T09:42:05Z","title_canon_sha256":"c5d321a114092f0ca01ec49021c89916d26551e10625bce6e2417163aea09290"},"schema_version":"1.0","source":{"id":"0911.3488","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.3488","created_at":"2026-05-18T03:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"0911.3488v3","created_at":"2026-05-18T03:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3488","created_at":"2026-05-18T03:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"SBFLQZAE4BIM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SBFLQZAE4BIMBWAX","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SBFLQZAE","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:2544e02f712c124ca452a068c85fe6c0d72154411dbf0fd4bc49e73d56031591","target":"graph","created_at":"2026-05-18T03:18:52Z","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":"In a purely multi-variable setting (i.e., the issues discussed in this note are not interesting in the single variable operator theory setting), we show that the coincidence of two operator valued Schur class multipliers of a certain kind on the Drury-Arveson space is characterized by the fact that the associated colligations (or a variant, obtained canonically) are `unitarily coincident' in a sense to be made precise in the last section of this article.","authors_text":"Angshuman Bhattacharya, Tirthankar Bhattacharyya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2009-11-18T09:42:05Z","title":"Coincidence of Schur multipliers of the Drury-Arveson space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3488","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:aaeee1cfce897a6038403bc5da7f45e79aa7806e4873a4cc672eff2188c84a2b","target":"record","created_at":"2026-05-18T03:18:52Z","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":"6b8d97f0e949536bfe795830e83592181b31f29b43f13191e851503a4c9bb0f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2009-11-18T09:42:05Z","title_canon_sha256":"c5d321a114092f0ca01ec49021c89916d26551e10625bce6e2417163aea09290"},"schema_version":"1.0","source":{"id":"0911.3488","kind":"arxiv","version":3}},"canonical_sha256":"904ab86404e050c0d8174fdf6cb8f4cd70bd6f0528bfa882326dfeaa1fa3b308","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"904ab86404e050c0d8174fdf6cb8f4cd70bd6f0528bfa882326dfeaa1fa3b308","first_computed_at":"2026-05-18T03:18:52.068122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:52.068122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Df8+KeinkooxzzX8RC631Xo+urHSG5txMSl8A17JzubeLMLQsx6FKd0xs5++NalH6Xu24qzqE55WqZ8DFH1ZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:52.071978Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.3488","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaeee1cfce897a6038403bc5da7f45e79aa7806e4873a4cc672eff2188c84a2b","sha256:2544e02f712c124ca452a068c85fe6c0d72154411dbf0fd4bc49e73d56031591"],"state_sha256":"eb2f25d93aeab2743737908df33efee287f860ebdde8f6c65351a7995c7dd32f"}