{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ENUM6MA36526Y4SGM3SCV5AOGC","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":"4941c83b7b996aafc8a7637d743ead1118b9a4a27736f44213bb002369614e4b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2013-01-03T16:49:41Z","title_canon_sha256":"0a789c98361602526fc34d3a5000763dea168dcde5ad666bdfd7f8da270a3ab8"},"schema_version":"1.0","source":{"id":"1301.0501","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0501","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0501v4","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0501","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"pith_short_12","alias_value":"ENUM6MA36526","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"ENUM6MA36526Y4SG","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"ENUM6MA3","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:26f4c0411b8e87485b95da0f7ba8c7c668c7bf14f83e30f10a83378dd3621606","target":"graph","created_at":"2026-05-18T01:52:21Z","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":"We prove results about the H\\\"older continuity of the spectral measures of the extended CMV matrix, given power law bounds of the solution of the eigenvalue equation. We thus arrive at a unitary analogue of the results of Damanik, Killip and Lenz about the spectral measure of the discrete Schr\\\"odinger operator.","authors_text":"Darren C. Ong, Paul Munger","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2013-01-03T16:49:41Z","title":"The H\\\"older continuity of spectral measures of an extended CMV matrix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0501","kind":"arxiv","version":4},"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":"sha256:76ad31165e5817687c73a6e40b419bc0bbdca6422946439efc3fc68676566a22","target":"record","created_at":"2026-05-18T01:52:21Z","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":"4941c83b7b996aafc8a7637d743ead1118b9a4a27736f44213bb002369614e4b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2013-01-03T16:49:41Z","title_canon_sha256":"0a789c98361602526fc34d3a5000763dea168dcde5ad666bdfd7f8da270a3ab8"},"schema_version":"1.0","source":{"id":"1301.0501","kind":"arxiv","version":4}},"canonical_sha256":"2368cf301bf775ec724666e42af40e3090ccc77a0756c12f262a6b1b24a78775","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2368cf301bf775ec724666e42af40e3090ccc77a0756c12f262a6b1b24a78775","first_computed_at":"2026-05-18T01:52:21.843465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:21.843465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XupT8n5eqWEOaMkTNdD7ksytLYcV1Qqhz3ZeX0eVqSkbsrCatxk1vPcVUlDwgb6qQuX1/LqYUqfPQjp4nJGWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:21.843861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0501","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76ad31165e5817687c73a6e40b419bc0bbdca6422946439efc3fc68676566a22","sha256:26f4c0411b8e87485b95da0f7ba8c7c668c7bf14f83e30f10a83378dd3621606"],"state_sha256":"ff828452de2d884fd85d2984f030a3ba78febcae026b311d59020edfc2f1efc5"}