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This structural shift yields computable, dimension-free guarantees that are strictly sharper for non-isotropic random matrices and seamlessly extend to infinite-dimensional Hilbert spaces.","weakest_assumption":"The random operators are independent, bounded, and compact self-adjoint, and that an empirical estimate of the variance together with the intrinsic dimension can be substituted directly into the concentration bounds without introducing uncontrolled bias or requiring additional oracle information."}},"verdict_id":"4734f0e3-8935-42c2-98fe-5d97c7a2273d"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:168d22c016a793d9cfe4e16cc3859da46a2f9495aee7c0f75c607a34ab2f6e85","target":"record","created_at":"2026-05-20T00:00:50Z","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":"b36935a4cc3e82c269db5dd10d72d077814e6beba00c7fa64c1f5158341414e0","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-14T18:00:07Z","title_canon_sha256":"2d0eefe4e3c7ac99fc5eadc4744159def9776f16e05b0a8ac3817abddee86631"},"schema_version":"1.0","source":{"id":"2605.15278","kind":"arxiv","version":1}},"canonical_sha256":"cdd21ef13596dd9c084a90b78ea256d0805a33baec8dab18f737c36e303ffafd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdd21ef13596dd9c084a90b78ea256d0805a33baec8dab18f737c36e303ffafd","first_computed_at":"2026-05-20T00:00:50.382456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:00:50.382456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8oYRbkAh9nCbfZGf1MMPF8c6p4FvxVz7yyIAwEk0BRPqMMepQ/0s3DHnEuKcgaQ3hCgqdxU3DVhjtqLgAUdOAQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:00:50.383134Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:168d22c016a793d9cfe4e16cc3859da46a2f9495aee7c0f75c607a34ab2f6e85","sha256:ebf4d856d796a352d18ecc5dcead4c34ed1fca1b68dec8e690ea92fe96116a45"],"state_sha256":"110cde782778f20f16db8b7f2fb3c22bb31682d54f84736b87780b4e3612eefb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1sl9GCnQBzyYqsh7tvIZCE8RyErnJ6oPusp2yHOpWWbOgwZcCpsCexMsb99lCt75O1VTWV7VpG2/ThRjkrtZDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:39:35.035767Z","bundle_sha256":"47e1bec38da49b3cfb41ac792c82ed69bfc2c40a4ef0cdc3c724008e88280309"}}