{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JCRLHZ73EQFPVZR35A4RYAI5TI","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":"d0ed35c2bce40c6f58c68e96d1012c433499a3d60c65536d0d9df7ae7d275bba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-09-20T02:40:21Z","title_canon_sha256":"9c4258ed4d56e1c229ba6890fd3aaef59d477890426ce13a21f0d18cb74739c5"},"schema_version":"1.0","source":{"id":"1709.06707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06707","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06707v1","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06707","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"JCRLHZ73EQFP","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JCRLHZ73EQFPVZR3","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JCRLHZ73","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:f470412805ba28c94b184163fcc432f3c14b669848e03b15539582f1e6d18153","target":"graph","created_at":"2026-05-17T23:51:00Z","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 Szeg\\H{o}-Widom asymptotics for the Chebyshev polynomials of a compact subset of $\\mathbb{R}$ which is regular for potential theory and obeys the Parreau-Widom and DCT conditions.","authors_text":"Barry Simon, Jacob S. Christiansen, Maxim Zinchenko, Peter Yuditskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-09-20T02:40:21Z","title":"Asymptotics of Chebyshev Polynomials, II. DCT Subsets of $\\mathbb{R}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06707","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":"sha256:3025fb0bfa3a2d9854e737ef74fb510fcc34e3f49a37890bc555b6375896d7e4","target":"record","created_at":"2026-05-17T23:51:00Z","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":"d0ed35c2bce40c6f58c68e96d1012c433499a3d60c65536d0d9df7ae7d275bba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-09-20T02:40:21Z","title_canon_sha256":"9c4258ed4d56e1c229ba6890fd3aaef59d477890426ce13a21f0d18cb74739c5"},"schema_version":"1.0","source":{"id":"1709.06707","kind":"arxiv","version":1}},"canonical_sha256":"48a2b3e7fb240afae63be8391c011d9a3a428c765bf286566ce5e5306f4cba46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48a2b3e7fb240afae63be8391c011d9a3a428c765bf286566ce5e5306f4cba46","first_computed_at":"2026-05-17T23:51:00.142625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.142625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"35X8lYbIT59j7o7a5ZhpoNpXBxkMztsnbWh+Ns5qJ0Wx4+UJbjzL/2vTHmgdJruzV1KgqRhjc89/FbK+e7UGAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.143069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3025fb0bfa3a2d9854e737ef74fb510fcc34e3f49a37890bc555b6375896d7e4","sha256:f470412805ba28c94b184163fcc432f3c14b669848e03b15539582f1e6d18153"],"state_sha256":"d673626649f69a3379faffaf6b01e40e94c7454af1a20d7cd7fd8aa2a0eb93d4"}