{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ERBZSYKQMXJYOOPJWO7EFRPFRN","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":"47497b29a95632b9ad70e0f9efb881df73628955c98fab118d5450370d53d1b7","cross_cats_sorted":["math.CV","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-09T13:51:47Z","title_canon_sha256":"76c6b63823792439d3948d05c9e39930125e3a18ffc816c3de194aea0865dc90"},"schema_version":"1.0","source":{"id":"1602.02984","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02984","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02984v2","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02984","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"ERBZSYKQMXJY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"ERBZSYKQMXJYOOPJ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"ERBZSYKQ","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:a1a6709192550b3a202c563c9c1c48c02e0ab145240c263e562393a07e480aa9","target":"graph","created_at":"2026-05-18T00:44:37Z","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 establish a Mahler-type estimate of weighted Fekete sums on the Berkovich projective line over an algebraically closed field of possibly positive characteristic that is complete with respect to a non-trivial and possibly non-archimedean absolute value.","authors_text":"Y\\^usuke Okuyama","cross_cats":["math.CV","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-09T13:51:47Z","title":"A Mahler-type estimate of weighted Fekete sums on the Berkovich projective line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02984","kind":"arxiv","version":2},"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":"sha256:8f67c25c035e6ba802d5ade9375fe67698e0d8d2c0976690c644ee85b0180f3f","target":"record","created_at":"2026-05-18T00:44:37Z","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":"47497b29a95632b9ad70e0f9efb881df73628955c98fab118d5450370d53d1b7","cross_cats_sorted":["math.CV","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-09T13:51:47Z","title_canon_sha256":"76c6b63823792439d3948d05c9e39930125e3a18ffc816c3de194aea0865dc90"},"schema_version":"1.0","source":{"id":"1602.02984","kind":"arxiv","version":2}},"canonical_sha256":"244399615065d38739e9b3be42c5e58b7e4fd0bdc1fed24d1f648cc1fa8eebcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"244399615065d38739e9b3be42c5e58b7e4fd0bdc1fed24d1f648cc1fa8eebcc","first_computed_at":"2026-05-18T00:44:37.192380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:37.192380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fJFU2p35revhH2WJijbQpAOAZUG6ubJ9DUkNfc2TfgCtItH1dBaHrFis+yvV8Dh0XZzklrl0bQYPlcNAZNMRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:37.192802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02984","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f67c25c035e6ba802d5ade9375fe67698e0d8d2c0976690c644ee85b0180f3f","sha256:a1a6709192550b3a202c563c9c1c48c02e0ab145240c263e562393a07e480aa9"],"state_sha256":"d8d24fd28cbb8a2d9131957ea276d0a87aa01a9a8cb0b338b36eb82db288e4f4"}