{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6YMUZ5IM6XLSBXZTUHGIKMK22G","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":"45e1f3d5782aa996fc4a433e9999e5ac8858692a63a0926b732ad80071cfb122","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-15T17:52:20Z","title_canon_sha256":"5b8a66ade97367d43dc5c63cc78efa99724c6b8ef85eec862639d53c6c7316e5"},"schema_version":"1.0","source":{"id":"1903.06698","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.06698","created_at":"2026-05-17T23:51:10Z"},{"alias_kind":"arxiv_version","alias_value":"1903.06698v1","created_at":"2026-05-17T23:51:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06698","created_at":"2026-05-17T23:51:10Z"},{"alias_kind":"pith_short_12","alias_value":"6YMUZ5IM6XLS","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6YMUZ5IM6XLSBXZT","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6YMUZ5IM","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:194670db69ba3e8a447b0cb3a2aaee93f5afc20c730729b7655ca5d2bb76cf8b","target":"graph","created_at":"2026-05-17T23:51:10Z","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":"The Gibbs--Wilbraham phenomenon for generalized sampling series, and related interpolation series arising from cardinal functions is investigated. We prove existence of the overshoot characteristic of the phenomenon for certain cardinal functions, and characterize existence of an overshoot for sampling series.","authors_text":"Keaton Hamm","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-15T17:52:20Z","title":"On the Gibbs--Wilbraham Phenomenon for Sampling and Interpolatory Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06698","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:f7ae0ff5cf1a511cbaada9f12bd53d97779465fc28acc70c83dee3807a443410","target":"record","created_at":"2026-05-17T23:51:10Z","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":"45e1f3d5782aa996fc4a433e9999e5ac8858692a63a0926b732ad80071cfb122","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-03-15T17:52:20Z","title_canon_sha256":"5b8a66ade97367d43dc5c63cc78efa99724c6b8ef85eec862639d53c6c7316e5"},"schema_version":"1.0","source":{"id":"1903.06698","kind":"arxiv","version":1}},"canonical_sha256":"f6194cf50cf5d720df33a1cc85315ad19cda688da47a16d3adedb6cb5bd0a636","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6194cf50cf5d720df33a1cc85315ad19cda688da47a16d3adedb6cb5bd0a636","first_computed_at":"2026-05-17T23:51:10.059860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:10.059860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h2QktQ/cs0VlKKPzuZc0pjSJNz7N5yJvlgMp7wYIHhQnL1CxANl3SMxkEmiowUwdzUoIm4znVkrOClraZzqJAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:10.060264Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.06698","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7ae0ff5cf1a511cbaada9f12bd53d97779465fc28acc70c83dee3807a443410","sha256:194670db69ba3e8a447b0cb3a2aaee93f5afc20c730729b7655ca5d2bb76cf8b"],"state_sha256":"fd787dcef98c45d70d20b35daa5778522dc553901347d77de7ddb883c393650a"}