{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7FLVOGGSLUA3W22PD5MI7NU7YT","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":"5e2a9d9dd2db2b6901d488010124231819af73000437265ea6a91f849424adbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-15T03:42:37Z","title_canon_sha256":"07808c6facda594c59fecc47b4fce1901f114abe51e85d81309dc983102b1b02"},"schema_version":"1.0","source":{"id":"1505.03952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03952","created_at":"2026-05-18T02:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03952v1","created_at":"2026-05-18T02:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03952","created_at":"2026-05-18T02:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"7FLVOGGSLUA3","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7FLVOGGSLUA3W22P","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7FLVOGGS","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:3d7caa0c541b682ef8c984f9d547024a36993f9adb34c9505610ada665724909","target":"graph","created_at":"2026-05-18T02:09:40Z","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 1967, Arveson invented a non-commutative generalization of classical $H^{\\infty},$ known as finite maximal subdiagonal subalgebras, for a finite von Neumann algebra $\\mathcal M$ with a faithful normal tracial state $\\tau$. In 2008, Blecher and Labuschagne proved a version of Beurling's theorem on $H^\\infty$-right invariant subspaces in a non-commutative $L^{p}(\\mathcal M,\\tau)$ space for $1\\le p\\le \\infty$. In the present paper, we define and study a class of norms ${\\mathcal{N}}_{c}(\\mathcal M, \\tau)$ on $\\mathcal{M},$ called normalized, unitarily invariant, $\\Vert \\cdot \\Vert_{1}$-dominat","authors_text":"Don Hadwin, Junhao Shen, Yanni Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-15T03:42:37Z","title":"A non-commutative Beurling's theorem with respect to unitarily invariant norms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03952","kind":"arxiv","version":1},"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:e3fc248557169cc02f379b6b6a51054d3c766f415b179ac2b14756c032edfff9","target":"record","created_at":"2026-05-18T02:09:40Z","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":"5e2a9d9dd2db2b6901d488010124231819af73000437265ea6a91f849424adbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-15T03:42:37Z","title_canon_sha256":"07808c6facda594c59fecc47b4fce1901f114abe51e85d81309dc983102b1b02"},"schema_version":"1.0","source":{"id":"1505.03952","kind":"arxiv","version":1}},"canonical_sha256":"f9575718d25d01bb6b4f1f588fb69fc4e953506d82a1bff20b9932b7557c1225","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9575718d25d01bb6b4f1f588fb69fc4e953506d82a1bff20b9932b7557c1225","first_computed_at":"2026-05-18T02:09:40.601006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:40.601006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZMn4xyCAVWp1qhc+ZyMNgMsDcxHIxGEFeIf1zLhkiDfhzFpTHvuWgkmtEHNcF3vJVLTcZrn3Dj1oKx3C/Y16Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:40.601826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3fc248557169cc02f379b6b6a51054d3c766f415b179ac2b14756c032edfff9","sha256:3d7caa0c541b682ef8c984f9d547024a36993f9adb34c9505610ada665724909"],"state_sha256":"978834b9808042b1309c9be31166741daca1783549240a65ab2bf2aae21a3697"}