{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WGLMOV7S34GGOEBUNTPB4WHPJT","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":"b768dc5ed36e1f4dd6949027d2ea96d53edc5b0e6fca699fa6b106852ab8c32b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-04-06T00:32:22Z","title_canon_sha256":"21b2ce364d3c3576b821051f42e7cf9bb41fd5fa2b9e4f6559a9f047259797d5"},"schema_version":"1.0","source":{"id":"1804.02091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02091","created_at":"2026-05-18T00:19:07Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02091v1","created_at":"2026-05-18T00:19:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02091","created_at":"2026-05-18T00:19:07Z"},{"alias_kind":"pith_short_12","alias_value":"WGLMOV7S34GG","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WGLMOV7S34GGOEBU","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WGLMOV7S","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:5906e44332d1901c61da4c9195c3571644be8cd4b91a326960623206d598a477","target":"graph","created_at":"2026-05-18T00:19:07Z","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":"For Schrodinger operators, there is a well known and widely used formula connecting the transfer matrices and Dirichlet determinants. No analog of this formula was previously known for CMV matrices. In this paper we fill this gap and provide the CMV analog of this formula.","authors_text":"Fengpeng Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-04-06T00:32:22Z","title":"A formula related to CMV matrices and Szego cocycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02091","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":"sha256:505492cae972b97dbbf61bfb173ca342736df15ceec95575babf80b4ce05e150","target":"record","created_at":"2026-05-18T00:19:07Z","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":"b768dc5ed36e1f4dd6949027d2ea96d53edc5b0e6fca699fa6b106852ab8c32b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-04-06T00:32:22Z","title_canon_sha256":"21b2ce364d3c3576b821051f42e7cf9bb41fd5fa2b9e4f6559a9f047259797d5"},"schema_version":"1.0","source":{"id":"1804.02091","kind":"arxiv","version":1}},"canonical_sha256":"b196c757f2df0c6710346cde1e58ef4cc94851bc611cd8a6478dbd881ea07f92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b196c757f2df0c6710346cde1e58ef4cc94851bc611cd8a6478dbd881ea07f92","first_computed_at":"2026-05-18T00:19:07.878305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:07.878305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qUXxBls16ZGHJJ8G2HncgexK0YMQF/XtyFCuprkSxRsIERe3iaKcNrHlVL6S0XC+/CX7R5eQ+M3QKGfX6CIiBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:07.879105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.02091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:505492cae972b97dbbf61bfb173ca342736df15ceec95575babf80b4ce05e150","sha256:5906e44332d1901c61da4c9195c3571644be8cd4b91a326960623206d598a477"],"state_sha256":"b4b68076b78a05ce9c5656d9b7a20a7df8a605983c63c97469ab304571517961"}