{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IVXODSH7GIMI4337CKKTGBCFAS","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":"e10a26d8e88538bd6daed31af95db6aede74ccd0d40624ba94dd07feb0bd628b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-22T10:44:13Z","title_canon_sha256":"d8dcbce70d12295b58ac36854ba35cd2b3fd7eb60a2d8b09f81b8e0a2fc5d948"},"schema_version":"1.0","source":{"id":"1705.07656","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07656","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07656v1","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07656","created_at":"2026-05-18T00:44:04Z"},{"alias_kind":"pith_short_12","alias_value":"IVXODSH7GIMI","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IVXODSH7GIMI4337","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IVXODSH7","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:5a65a5c3508c979ee8692bdc8b78da458fa6421039a5dcf9bb13b3cf08447b4b","target":"graph","created_at":"2026-05-18T00:44:04Z","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 construct inner products by the Bernstein-Markov inequality on spaces of holomorphic sections of high powers of a line bundle. The corresponding weighted Bergman kernel functions converge to an extremal function. We obtain a uniform convergence speed.","authors_text":"Guokuan Shao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-22T10:44:13Z","title":"Convergence speed of weighted Bergman kernels towards extremal functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07656","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":"sha256:0d95214cd1ae91d59693d33517cfb955eb5484f492716816aa319e318a94efda","target":"record","created_at":"2026-05-18T00:44:04Z","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":"e10a26d8e88538bd6daed31af95db6aede74ccd0d40624ba94dd07feb0bd628b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-22T10:44:13Z","title_canon_sha256":"d8dcbce70d12295b58ac36854ba35cd2b3fd7eb60a2d8b09f81b8e0a2fc5d948"},"schema_version":"1.0","source":{"id":"1705.07656","kind":"arxiv","version":1}},"canonical_sha256":"456ee1c8ff32188e6f7f129533044504a3718bdb784b06e687015ca24c26f121","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"456ee1c8ff32188e6f7f129533044504a3718bdb784b06e687015ca24c26f121","first_computed_at":"2026-05-18T00:44:04.934188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:04.934188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rrd9CLuz5BaTI4RjlnJshRtrNSBPSDo6TJ6uuthxt2US5WwqEX+ZFxfDl8jStdfIrV0NegUBpik4PZoRsqlvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:04.934702Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07656","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d95214cd1ae91d59693d33517cfb955eb5484f492716816aa319e318a94efda","sha256:5a65a5c3508c979ee8692bdc8b78da458fa6421039a5dcf9bb13b3cf08447b4b"],"state_sha256":"af3b0e7eda8c9f2fb7260740c101f0522f6b13b7451db9173d5fe0449892fd7c"}