{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:F4S3LWN46VW6MVWVSYODU7YGIK","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":"4d1cef2d0eb16446cecdf0b8d48cbf73fb932a7fb93716b496f48be66b322d74","cross_cats_sorted":["math.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2023-08-23T06:41:55Z","title_canon_sha256":"527dcdf498d2207b196226c255da0818a6c299f452ad137ba58af0579b62444a"},"schema_version":"1.0","source":{"id":"2308.11947","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.11947","created_at":"2026-07-05T09:56:47Z"},{"alias_kind":"arxiv_version","alias_value":"2308.11947v3","created_at":"2026-07-05T09:56:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.11947","created_at":"2026-07-05T09:56:47Z"},{"alias_kind":"pith_short_12","alias_value":"F4S3LWN46VW6","created_at":"2026-07-05T09:56:47Z"},{"alias_kind":"pith_short_16","alias_value":"F4S3LWN46VW6MVWV","created_at":"2026-07-05T09:56:47Z"},{"alias_kind":"pith_short_8","alias_value":"F4S3LWN4","created_at":"2026-07-05T09:56:47Z"}],"graph_snapshots":[{"event_id":"sha256:a45b3bbae87975392aeb38c28de0771278019ed7a10919c5c956cb79555cbe7d","target":"graph","created_at":"2026-07-05T09:56:47Z","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/2308.11947/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper the local regularity of the Hilbert transform is considered, and local smoothness and real analyticity results are obtained.","authors_text":"Jianfei Wang, Yifei Pan, Yu Yan","cross_cats":["math.CV"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2023-08-23T06:41:55Z","title":"On the Local Regularity of the Hilbert Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.11947","kind":"arxiv","version":3},"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":"sha256:18ddca9715c0ecba5aa4297449661679c11e58a3a965da19cf007d557184ebff","target":"record","created_at":"2026-07-05T09:56:47Z","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":"4d1cef2d0eb16446cecdf0b8d48cbf73fb932a7fb93716b496f48be66b322d74","cross_cats_sorted":["math.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CA","submitted_at":"2023-08-23T06:41:55Z","title_canon_sha256":"527dcdf498d2207b196226c255da0818a6c299f452ad137ba58af0579b62444a"},"schema_version":"1.0","source":{"id":"2308.11947","kind":"arxiv","version":3}},"canonical_sha256":"2f25b5d9bcf56de656d5961c3a7f0642b1c6b595ad29a44388095c947639de99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f25b5d9bcf56de656d5961c3a7f0642b1c6b595ad29a44388095c947639de99","first_computed_at":"2026-07-05T09:56:47.718302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:47.718302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"isXYcxJl3rPHTlU7VR6M1Au/8W+BfVBLto0urUsscMv2DJsaMc3icOdIqJ8tY47jetKZU0Cng3LjWNO8/doOBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:47.718837Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.11947","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18ddca9715c0ecba5aa4297449661679c11e58a3a965da19cf007d557184ebff","sha256:a45b3bbae87975392aeb38c28de0771278019ed7a10919c5c956cb79555cbe7d"],"state_sha256":"d37a6eac20bb17f2406a2f12d9c84d828bb2f48ae8d2f96ae30aa8c112fd7104"}