{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HRPBBBHZFSXIDSIY4YG6TQIX56","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":"765a9d54c6b3f989d4501b54cf726d6c2b9307bfa3e2c05351536b35dfe6f4df","cross_cats_sorted":["astro-ph.EP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-06-25T22:28:56Z","title_canon_sha256":"2e1ab23abca70bccc621d9d0e52c36da5a318d789c7c3a6c070f922e0d0d496e"},"schema_version":"1.0","source":{"id":"2506.20864","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.20864","created_at":"2026-07-05T11:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"2506.20864v2","created_at":"2026-07-05T11:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.20864","created_at":"2026-07-05T11:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"HRPBBBHZFSXI","created_at":"2026-07-05T11:59:16Z"},{"alias_kind":"pith_short_16","alias_value":"HRPBBBHZFSXIDSIY","created_at":"2026-07-05T11:59:16Z"},{"alias_kind":"pith_short_8","alias_value":"HRPBBBHZ","created_at":"2026-07-05T11:59:16Z"}],"graph_snapshots":[{"event_id":"sha256:497969dcd727d37419bd6a3e6ec66ef79c2ba6d99a04d64ff276d5d2737a13b2","target":"graph","created_at":"2026-07-05T11:59:16Z","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/2506.20864/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Rayleigh criterion determines the resolution limit of a periodogram, which is the minimum frequency separation required to barely resolve two sinusoids. Failing to consider the Rayleigh criterion may result in incorrect interpretations of long-period signals or spurious claims that two closely spaced periodogram peaks represent two distinct physical processes. We demonstrate how applying the Rayleigh criterion can help observers avoid false positive detections caused by uneven observing cadence or insufficient observing time baseline. We present three synthetic datasets that illustrate (1)","authors_text":"C. Haley, J. S. Caicedo Vivas, S. Dodson-Robinson, V. Ramirez Delgado","cross_cats":["astro-ph.EP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-06-25T22:28:56Z","title":"The Rayleigh Criterion: Resolution Limits of Astronomical Periodograms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.20864","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":"sha256:7417557c4ef71675315ff0ae50d7def7de9d9f01c74e28cb74b47e9dbecbd4a9","target":"record","created_at":"2026-07-05T11:59:16Z","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":"765a9d54c6b3f989d4501b54cf726d6c2b9307bfa3e2c05351536b35dfe6f4df","cross_cats_sorted":["astro-ph.EP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-06-25T22:28:56Z","title_canon_sha256":"2e1ab23abca70bccc621d9d0e52c36da5a318d789c7c3a6c070f922e0d0d496e"},"schema_version":"1.0","source":{"id":"2506.20864","kind":"arxiv","version":2}},"canonical_sha256":"3c5e1084f92cae81c918e60de9c117efa4b8def352cf8a56a2d3add4751cd281","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c5e1084f92cae81c918e60de9c117efa4b8def352cf8a56a2d3add4751cd281","first_computed_at":"2026-07-05T11:59:16.562222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:16.562222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wW8oBXOUjtdTfN96xX9pwGrunBvIvJ8YaA/LAmgmxNnlR0puKarfYRYCMDabeZwPJR0wu9RoQOwtfkv0rLb6Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:16.562762Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.20864","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7417557c4ef71675315ff0ae50d7def7de9d9f01c74e28cb74b47e9dbecbd4a9","sha256:497969dcd727d37419bd6a3e6ec66ef79c2ba6d99a04d64ff276d5d2737a13b2"],"state_sha256":"5fa5e55a5d49f5c24c0410e909d1b0d4f76c98ee4f5c875164680cb35b7b5e59"}