{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:LVXPZ7AFX6JO27PQA7DPYT4E2H","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":"859f27c7730cf9fd8dfcc7412620602d9b7866bdd0510c7159fa7a782ce9c43d","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2007-01-03T17:14:38Z","title_canon_sha256":"3f511dc8451d6485a6077f4d40909681e7021ba91496bca61fef1e3ca4cb2f93"},"schema_version":"1.0","source":{"id":"math/0701099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0701099","created_at":"2026-07-04T14:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/0701099v1","created_at":"2026-07-04T14:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701099","created_at":"2026-07-04T14:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"LVXPZ7AFX6JO","created_at":"2026-07-04T14:58:22Z"},{"alias_kind":"pith_short_16","alias_value":"LVXPZ7AFX6JO27PQ","created_at":"2026-07-04T14:58:22Z"},{"alias_kind":"pith_short_8","alias_value":"LVXPZ7AF","created_at":"2026-07-04T14:58:22Z"}],"graph_snapshots":[{"event_id":"sha256:f00b3aba2b346666e35089ec8fe0b861683f3c3b4977ca873ce114096f443041","target":"graph","created_at":"2026-07-04T14:58:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0701099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let W: R to (0,1] be continuous. Bernstein's approximation problem, posed in 1924, deals with approximation by polynomials in the weighted uniform norm ||fW|| Linfinity(R) . The qualitative form of this problem was solved by Achieser, Mergelyan, and Pollard, in the 1950's. Quantitative forms of the problem were actively investigated starting from the 1960's. We survey old and recent aspects of this topic, including the Bernstein problem, weighted Jackson and Bernstein Theorems, Markov-Bernstein and Nikolskii inequalities, orthogonal expansions and Lagrange interpolation. We present the main id","authors_text":"Doron S Lubinsky","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"2007-01-03T17:14:38Z","title":"A Survey of Weighted Approximation for Exponential Weights"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701099","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":"sha256:52e1a3a2ff4554f571d9bda52d5322fc0665d36cd56b2c0f3bf255b250f67557","target":"record","created_at":"2026-07-04T14:58:22Z","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":"859f27c7730cf9fd8dfcc7412620602d9b7866bdd0510c7159fa7a782ce9c43d","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2007-01-03T17:14:38Z","title_canon_sha256":"3f511dc8451d6485a6077f4d40909681e7021ba91496bca61fef1e3ca4cb2f93"},"schema_version":"1.0","source":{"id":"math/0701099","kind":"arxiv","version":1}},"canonical_sha256":"5d6efcfc05bf92ed7df007c6fc4f84d1da26267be0d4c7081d8f3729d70c8cd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d6efcfc05bf92ed7df007c6fc4f84d1da26267be0d4c7081d8f3729d70c8cd3","first_computed_at":"2026-07-04T14:58:22.148805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:58:22.148805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BfeLmtNOJsmL7mIPW/hdwy1nOqOhPGP9VJNsDtoWOIVmtnQomeyvEzSepn6e1NqAJzUj5fda0m0qD/diIH9HCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:58:22.149138Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0701099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52e1a3a2ff4554f571d9bda52d5322fc0665d36cd56b2c0f3bf255b250f67557","sha256:f00b3aba2b346666e35089ec8fe0b861683f3c3b4977ca873ce114096f443041"],"state_sha256":"3eb8c4860d94079da8a51968658a5a1ade8aa533beac7180e6abcddb7adaca8d"}