{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LDBQTLBZXL4RGKHQSZVX7L3MYE","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":"ad2b3206374e5e8396b24e89959f00c0d58cc3aabe70404cabeeb0145aa040a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-08-29T21:32:00Z","title_canon_sha256":"0ded55257862c845137b2946e47a0cab1d502298be7c3258ed03f94407b73ac2"},"schema_version":"1.0","source":{"id":"1308.6614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6614","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6614v1","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6614","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"LDBQTLBZXL4R","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LDBQTLBZXL4RGKHQ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LDBQTLBZ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:acde7d1ca890999e6f82f6a174ce609c940993668b81955f2de4b862e41a4601","target":"graph","created_at":"2026-05-18T03:14:38Z","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 obtain the sharp lower bound for the uniform norm of the orthogonal polynomials in the Steklov class. We also prove the sharp estimates for the polynomial entropy in this class.","authors_text":"A. Aptekarev, D. Tulyakov, S. Denisov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-08-29T21:32:00Z","title":"The sharp estimates on the orthogonal polynomials from the Steklov class"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6614","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:b1fc72874e8a32221130c8029bfff7f097203f856e7a9d778c7ccc6b026e9ae1","target":"record","created_at":"2026-05-18T03:14:38Z","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":"ad2b3206374e5e8396b24e89959f00c0d58cc3aabe70404cabeeb0145aa040a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-08-29T21:32:00Z","title_canon_sha256":"0ded55257862c845137b2946e47a0cab1d502298be7c3258ed03f94407b73ac2"},"schema_version":"1.0","source":{"id":"1308.6614","kind":"arxiv","version":1}},"canonical_sha256":"58c309ac39baf91328f0966b7faf6cc1338279525b9beca0b67ea2980ac966cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58c309ac39baf91328f0966b7faf6cc1338279525b9beca0b67ea2980ac966cb","first_computed_at":"2026-05-18T03:14:38.644501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:38.644501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dsmBZwEUnX2lfpFX/xlHNH2zRx/l+wKVIStxF6Kbc8w7+XV3YkOnZhuApFo9JH027swtTlyyibydCUDngHfqDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:38.645266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1fc72874e8a32221130c8029bfff7f097203f856e7a9d778c7ccc6b026e9ae1","sha256:acde7d1ca890999e6f82f6a174ce609c940993668b81955f2de4b862e41a4601"],"state_sha256":"acb57191a515f2d18f9c63202791fc411aecc78b77ebcfc3608cd4b0b1f41c5c"}