{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7RKWSAYG5QUKUCJOYJFZQRBAJB","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":"7df324760895389c475a5cec60b3b42c412db49c003d5fbabfc777f1d89e5b0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-03-25T16:29:12Z","title_canon_sha256":"41f13411ae29a46650d7a6e89999038b92bf9915947e40168420453afabda3ad"},"schema_version":"1.0","source":{"id":"1103.5018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5018","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5018v1","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5018","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"pith_short_12","alias_value":"7RKWSAYG5QUK","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7RKWSAYG5QUKUCJO","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7RKWSAYG","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:32a3ab3e65ef8c664444a82965eda6e7287e887e17de5f640d4ce4739dc3e3e7","target":"graph","created_at":"2026-05-18T04:25:48Z","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 a Bernstein-type inequality involving the Bergman and the Hardy norms, for rational functions in the unit disc \\mathbb{D} having at most n poles all outside of \\frac{1}{r}\\mathbb{D}, 0","authors_text":"Rachid Zarouf (LATP)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-03-25T16:29:12Z","title":"Application of a Bernstein type inequality to rational interpolation in the Dirichlet space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5018","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":"sha256:876661f075cb8abe7c42d78a6f667493b5d237ceae71f91ab05979d4ab0b1b94","target":"record","created_at":"2026-05-18T04:25:48Z","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":"7df324760895389c475a5cec60b3b42c412db49c003d5fbabfc777f1d89e5b0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-03-25T16:29:12Z","title_canon_sha256":"41f13411ae29a46650d7a6e89999038b92bf9915947e40168420453afabda3ad"},"schema_version":"1.0","source":{"id":"1103.5018","kind":"arxiv","version":1}},"canonical_sha256":"fc55690306ec28aa092ec24b984420487778c23423f51585a03a55637e00dab6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc55690306ec28aa092ec24b984420487778c23423f51585a03a55637e00dab6","first_computed_at":"2026-05-18T04:25:48.191013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:48.191013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/99h4ctyB+KV5GphOle4xYy6Pp3I63Qbwq8k17tmUSwsHHHlnX7w5PC6RLX+KSQMDOAef0YH1bjLwr876yxRBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:48.191468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:876661f075cb8abe7c42d78a6f667493b5d237ceae71f91ab05979d4ab0b1b94","sha256:32a3ab3e65ef8c664444a82965eda6e7287e887e17de5f640d4ce4739dc3e3e7"],"state_sha256":"9903e29e363fb481c31060a482cda959144ec7c4c88c5e037f31a75a888d6126"}